/* $Procedure BODMAT ( Return transformation matrix for a body ) */ /* Subroutine */ int bodmat_(integer *body, doublereal *et, doublereal *tipm) { /* Initialized data */ static logical first = TRUE_; static logical found = FALSE_; /* System generated locals */ integer i__1, i__2, i__3; doublereal d__1; /* Builtin functions */ integer s_rnge(char *, integer, char *, integer); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer i_dnnt(doublereal *); double sin(doublereal), cos(doublereal), d_mod(doublereal *, doublereal *) ; /* Local variables */ integer cent; char item[32]; doublereal j2ref[9] /* was [3][3] */; extern integer zzbodbry_(integer *); extern /* Subroutine */ int eul2m_(doublereal *, doublereal *, doublereal *, integer *, integer *, integer *, doublereal *); doublereal d__; integer i__, j; doublereal dcoef[3], t, w; extern /* Subroutine */ int etcal_(doublereal *, char *, ftnlen); integer refid; doublereal delta; extern /* Subroutine */ int chkin_(char *, ftnlen); doublereal epoch, rcoef[3], tcoef[200] /* was [2][100] */, wcoef[3]; extern /* Subroutine */ int errch_(char *, char *, ftnlen, ftnlen); doublereal theta; extern /* Subroutine */ int moved_(doublereal *, integer *, doublereal *), repmi_(char *, char *, integer *, char *, ftnlen, ftnlen, ftnlen) , errdp_(char *, doublereal *, ftnlen); doublereal costh[100]; extern doublereal vdotg_(doublereal *, doublereal *, integer *); char dtype[1]; doublereal sinth[100], tsipm[36] /* was [6][6] */; extern doublereal twopi_(void); static integer j2code; doublereal ac[100], dc[100]; integer na, nd; doublereal ra, wc[100]; extern /* Subroutine */ int cleard_(integer *, doublereal *); extern logical bodfnd_(integer *, char *, ftnlen); extern /* Subroutine */ int bodvcd_(integer *, char *, integer *, integer *, doublereal *, ftnlen); integer frcode; extern doublereal halfpi_(void); extern /* Subroutine */ int ccifrm_(integer *, integer *, integer *, char *, integer *, logical *, ftnlen); integer nw; doublereal conepc, conref; extern /* Subroutine */ int pckmat_(integer *, doublereal *, integer *, doublereal *, logical *); integer ntheta; extern /* Subroutine */ int gdpool_(char *, integer *, integer *, integer *, doublereal *, logical *, ftnlen); char fixfrm[32], errmsg[1840]; extern /* Subroutine */ int irfnum_(char *, integer *, ftnlen), dtpool_( char *, logical *, integer *, char *, ftnlen, ftnlen); doublereal tmpmat[9] /* was [3][3] */; extern /* Subroutine */ int setmsg_(char *, ftnlen), suffix_(char *, integer *, char *, ftnlen, ftnlen), errint_(char *, integer *, ftnlen), sigerr_(char *, ftnlen), chkout_(char *, ftnlen), irfrot_(integer *, integer *, doublereal *); extern logical return_(void); char timstr[35]; extern doublereal j2000_(void); doublereal dec; integer dim, ref; doublereal phi; extern doublereal rpd_(void), spd_(void); extern /* Subroutine */ int mxm_(doublereal *, doublereal *, doublereal *) ; /* $ Abstract */ /* Return the J2000 to body Equator and Prime Meridian coordinate */ /* transformation matrix for a specified body. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* PCK */ /* NAIF_IDS */ /* TIME */ /* $ Keywords */ /* CONSTANTS */ /* $ Declarations */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* Include File: SPICELIB Error Handling Parameters */ /* errhnd.inc Version 2 18-JUN-1997 (WLT) */ /* The size of the long error message was */ /* reduced from 25*80 to 23*80 so that it */ /* will be accepted by the Microsoft Power Station */ /* FORTRAN compiler which has an upper bound */ /* of 1900 for the length of a character string. */ /* errhnd.inc Version 1 29-JUL-1997 (NJB) */ /* Maximum length of the long error message: */ /* Maximum length of the short error message: */ /* End Include File: SPICELIB Error Handling Parameters */ /* $ Abstract */ /* The parameters below form an enumerated list of the recognized */ /* frame types. They are: INERTL, PCK, CK, TK, DYN. The meanings */ /* are outlined below. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Parameters */ /* INERTL an inertial frame that is listed in the routine */ /* CHGIRF and that requires no external file to */ /* compute the transformation from or to any other */ /* inertial frame. */ /* PCK is a frame that is specified relative to some */ /* INERTL frame and that has an IAU model that */ /* may be retrieved from the PCK system via a call */ /* to the routine TISBOD. */ /* CK is a frame defined by a C-kernel. */ /* TK is a "text kernel" frame. These frames are offset */ /* from their associated "relative" frames by a */ /* constant rotation. */ /* DYN is a "dynamic" frame. These currently are */ /* parameterized, built-in frames where the full frame */ /* definition depends on parameters supplied via a */ /* frame kernel. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* W.L. Taber (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 3.0.0, 28-MAY-2004 (NJB) */ /* The parameter DYN was added to support the dynamic frame class. */ /* - SPICELIB Version 2.0.0, 12-DEC-1996 (WLT) */ /* Various unused frames types were removed and the */ /* frame time TK was added. */ /* - SPICELIB Version 1.0.0, 10-DEC-1995 (WLT) */ /* -& */ /* $ Brief_I/O */ /* VARIABLE I/O DESCRIPTION */ /* -------- --- -------------------------------------------------- */ /* BODY I ID code of body. */ /* ET I Epoch of transformation. */ /* TIPM O Transformation from Inertial to PM for BODY at ET. */ /* $ Detailed_Input */ /* BODY is the integer ID code of the body for which the */ /* transformation is requested. Bodies are numbered */ /* according to the standard NAIF numbering scheme. */ /* ET is the epoch at which the transformation is */ /* requested. (This is typically the epoch of */ /* observation minus the one-way light time from */ /* the observer to the body at the epoch of */ /* observation.) */ /* $ Detailed_Output */ /* TIPM is the transformation matrix from Inertial to body */ /* Equator and Prime Meridian. The X axis of the PM */ /* system is directed to the intersection of the */ /* equator and prime meridian. The Z axis points north. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If data required to define the body-fixed frame associated */ /* with BODY are not found in the binary PCK system or the kernel */ /* pool, the error SPICE(FRAMEDATANOTFOUND) is signaled. In */ /* the case of IAU style body-fixed frames, the absence of */ /* prime meridian polynomial data (which are required) is used */ /* as an indicator of missing data. */ /* 2) If the test for exception (1) passes, but in fact requested */ /* data are not available in the kernel pool, the error will be */ /* signaled by routines in the call tree of this routine. */ /* 3) If the kernel pool does not contain all of the data required */ /* to define the number of nutation precession angles */ /* corresponding to the available nutation precession */ /* coefficients, the error SPICE(INSUFFICIENTANGLES) is */ /* signaled. */ /* 4) If the reference frame REF is not recognized, a routine */ /* called by BODMAT will diagnose the condition and invoke the */ /* SPICE error handling system. */ /* 5) If the specified body code BODY is not recognized, the */ /* error is diagnosed by a routine called by BODMAT. */ /* $ Files */ /* None. */ /* $ Particulars */ /* This routine is related to the more general routine TIPBOD */ /* which returns a matrix that transforms vectors from a */ /* specified inertial reference frame to body equator and */ /* prime meridian coordinates. TIPBOD accepts an input argument */ /* REF that allows the caller to specify an inertial reference */ /* frame. */ /* The transformation represented by BODMAT's output argument TIPM */ /* is defined as follows: */ /* TIPM = [W] [DELTA] [PHI] */ /* 3 1 3 */ /* If there exists high-precision binary PCK kernel information */ /* for the body at the requested time, these angles, W, DELTA */ /* and PHI are computed directly from that file. The most */ /* recently loaded binary PCK file has first priority followed */ /* by previously loaded binary PCK files in backward time order. */ /* If no binary PCK file has been loaded, the text P_constants */ /* kernel file is used. */ /* If there is only text PCK kernel information, it is */ /* expressed in terms of RA, DEC and W (same W as above), where */ /* RA = PHI - HALFPI() */ /* DEC = HALFPI() - DELTA */ /* RA, DEC, and W are defined as follows in the text PCK file: */ /* RA = RA0 + RA1*T + RA2*T*T + a sin theta */ /* i i */ /* DEC = DEC0 + DEC1*T + DEC2*T*T + d cos theta */ /* i i */ /* W = W0 + W1*d + W2*d*d + w sin theta */ /* i i */ /* where: */ /* d = days past J2000. */ /* T = Julian centuries past J2000. */ /* a , d , and w arrays apply to satellites only. */ /* i i i */ /* theta = THETA0 * THETA1*T are specific to each planet. */ /* i */ /* These angles -- typically nodal rates -- vary in number and */ /* definition from one planetary system to the next. */ /* $ Examples */ /* In the following code fragment, BODMAT is used to rotate */ /* the position vector (POS) from a target body (BODY) to a */ /* spacecraft from inertial coordinates to body-fixed coordinates */ /* at a specific epoch (ET), in order to compute the planetocentric */ /* longitude (PCLONG) of the spacecraft. */ /* CALL BODMAT ( BODY, ET, TIPM ) */ /* CALL MXV ( TIPM, POS, POS ) */ /* CALL RECLAT ( POS, RADIUS, PCLONG, LAT ) */ /* To compute the equivalent planetographic longitude (PGLONG), */ /* it is necessary to know the direction of rotation of the target */ /* body, as shown below. */ /* CALL BODVCD ( BODY, 'PM', 3, DIM, VALUES ) */ /* IF ( VALUES(2) .GT. 0.D0 ) THEN */ /* PGLONG = PCLONG */ /* ELSE */ /* PGLONG = TWOPI() - PCLONG */ /* END IF */ /* Note that the items necessary to compute the transformation */ /* TIPM must have been loaded into the kernel pool (by one or more */ /* previous calls to FURNSH). */ /* $ Restrictions */ /* None. */ /* $ Literature_References */ /* 1) Refer to the NAIF_IDS required reading file for a complete */ /* list of the NAIF integer ID codes for bodies. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* W.L. Taber (JPL) */ /* I.M. Underwood (JPL) */ /* K.S. Zukor (JPL) */ /* $ Version */ /* - SPICELIB Version 4.1.1, 01-FEB-2008 (NJB) */ /* The routine was updated to improve the error messages created */ /* when required PCK data are not found. Now in most cases the */ /* messages are created locally rather than by the kernel pool */ /* access routines. In particular missing binary PCK data will */ /* be indicated with a reasonable error message. */ /* - SPICELIB Version 4.1.0, 25-AUG-2005 (NJB) */ /* Updated to remove non-standard use of duplicate arguments */ /* in MXM call. */ /* Calls to ZZBODVCD have been replaced with calls to */ /* BODVCD. */ /* - SPICELIB Version 4.0.0, 12-FEB-2004 (NJB) */ /* Code has been updated to support satellite ID codes in the */ /* range 10000 to 99999 and to allow nutation precession angles */ /* to be associated with any object. */ /* Implementation changes were made to improve robustness */ /* of the code. */ /* - SPICELIB Version 3.2.0, 22-MAR-1995 (KSZ) */ /* Gets TSIPM matrix from PCKMAT (instead of Euler angles */ /* from PCKEUL.) */ /* - SPICELIB Version 3.0.0, 10-MAR-1994 (KSZ) */ /* Ability to get Euler angles from binary PCK file added. */ /* This uses the new routine PCKEUL. */ /* - SPICELIB Version 2.0.1, 10-MAR-1992 (WLT) */ /* Comment section for permuted index source lines was added */ /* following the header. */ /* - SPICELIB Version 2.0.0, 04-SEP-1991 (NJB) */ /* Updated to handle P_constants referenced to different epochs */ /* and inertial reference frames. */ /* The header was updated to specify that the inertial reference */ /* frame used by BODMAT is restricted to be J2000. */ /* - SPICELIB Version 1.0.0, 31-JAN-1990 (WLT) (IMU) */ /* -& */ /* $ Index_Entries */ /* fetch transformation matrix for a body */ /* transformation from j2000 position to bodyfixed */ /* transformation from j2000 to bodyfixed coordinates */ /* -& */ /* $ Revisions */ /* - SPICELIB Version 4.1.0, 25-AUG-2005 (NJB) */ /* Updated to remove non-standard use of duplicate arguments */ /* in MXM call. */ /* Calls to ZZBODVCD have been replaced with calls to */ /* BODVCD. */ /* - SPICELIB Version 4.0.0, 12-FEB-2004 (NJB) */ /* Code has been updated to support satellite ID codes in the */ /* range 10000 to 99999 and to allow nutation precession angles */ /* to be associated with any object. */ /* Calls to deprecated kernel pool access routine RTPOOL */ /* were replaced by calls to GDPOOL. */ /* Calls to BODVAR have been replaced with calls to */ /* ZZBODVCD. */ /* - SPICELIB Version 3.2.0, 22-MAR-1995 (KSZ) */ /* BODMAT now get the TSIPM matrix from PCKMAT, and */ /* unpacks TIPM from it. Also the calculated but unused */ /* variable LAMBDA was removed. */ /* - SPICELIB Version 3.0.0, 10-MAR-1994 (KSZ) */ /* BODMAT now uses new software to check for the */ /* existence of binary PCK files, search the for */ /* data corresponding to the requested body and time, */ /* and return the appropriate Euler angles, using the */ /* new routine PCKEUL. Otherwise the code calculates */ /* the Euler angles from the P_constants kernel file. */ /* - SPICELIB Version 2.0.0, 04-SEP-1991 (NJB) */ /* Updated to handle P_constants referenced to different epochs */ /* and inertial reference frames. */ /* The header was updated to specify that the inertial reference */ /* frame used by BODMAT is restricted to be J2000. */ /* BODMAT now checks the kernel pool for presence of the */ /* variables */ /* BODY#_CONSTANTS_REF_FRAME */ /* and */ /* BODY#_CONSTANTS_JED_EPOCH */ /* where # is the NAIF integer code of the barycenter of a */ /* planetary system or of a body other than a planet or */ /* satellite. If either or both of these variables are */ /* present, the P_constants for BODY are presumed to be */ /* referenced to the specified inertial frame or epoch. */ /* If the epoch of the constants is not J2000, the input */ /* time ET is converted to seconds past the reference epoch. */ /* If the frame of the constants is not J2000, the rotation from */ /* the P_constants' frame to body-fixed coordinates is */ /* transformed to the rotation from J2000 coordinates to */ /* body-fixed coordinates. */ /* For efficiency reasons, this routine now duplicates much */ /* of the code of BODEUL so that it doesn't have to call BODEUL. */ /* In some cases, BODEUL must covert Euler angles to a matrix, */ /* rotate the matrix, and convert the result back to Euler */ /* angles. If this routine called BODEUL, then in such cases */ /* this routine would convert the transformed angles back to */ /* a matrix. That would be a bit much.... */ /* - Beta Version 1.1.0, 16-FEB-1989 (IMU) (NJB) */ /* Examples section completed. Declaration of unused variable */ /* FOUND removed. */ /* -& */ /* SPICELIB functions */ /* Local parameters */ /* Local variables */ /* Saved variables */ /* Initial values */ /* Standard SPICE Error handling. */ if (return_()) { return 0; } else { chkin_("BODMAT", (ftnlen)6); } /* Get the code for the J2000 frame, if we don't have it yet. */ if (first) { irfnum_("J2000", &j2code, (ftnlen)5); first = FALSE_; } /* Get Euler angles from high precision data file. */ pckmat_(body, et, &ref, tsipm, &found); if (found) { for (i__ = 1; i__ <= 3; ++i__) { for (j = 1; j <= 3; ++j) { tipm[(i__1 = i__ + j * 3 - 4) < 9 && 0 <= i__1 ? i__1 : s_rnge("tipm", i__1, "bodmat_", (ftnlen)485)] = tsipm[ (i__2 = i__ + j * 6 - 7) < 36 && 0 <= i__2 ? i__2 : s_rnge("tsipm", i__2, "bodmat_", (ftnlen)485)]; } } } else { /* The data for the frame of interest are not available in a */ /* loaded binary PCK file. This is not an error: the data may be */ /* present in the kernel pool. */ /* Conduct a non-error-signaling check for the presence of a */ /* kernel variable that is required to implement an IAU style */ /* body-fixed reference frame. If the data aren't available, we */ /* don't want BODVCD to signal a SPICE(KERNELVARNOTFOUND) error; */ /* we want to issue the error signal locally, with a better error */ /* message. */ s_copy(item, "BODY#_PM", (ftnlen)32, (ftnlen)8); repmi_(item, "#", body, item, (ftnlen)32, (ftnlen)1, (ftnlen)32); dtpool_(item, &found, &nw, dtype, (ftnlen)32, (ftnlen)1); if (! found) { /* Now we do have an error. */ /* We don't have the data we'll need to produced the requested */ /* state transformation matrix. In order to create an error */ /* message understandable to the user, find, if possible, the */ /* name of the reference frame associated with the input body. */ /* Note that the body is really identified by a PCK frame class */ /* ID code, though most of the documentation just calls it a */ /* body ID code. */ ccifrm_(&c__2, body, &frcode, fixfrm, ¢, &found, (ftnlen)32); etcal_(et, timstr, (ftnlen)35); s_copy(errmsg, "PCK data required to compute the orientation of " "the # # for epoch # TDB were not found. If these data we" "re to be provided by a binary PCK file, then it is possi" "ble that the PCK file does not have coverage for the spe" "cified body-fixed frame at the time of interest. If the " "data were to be provided by a text PCK file, then possib" "ly the file does not contain data for the specified body" "-fixed frame. In either case it is possible that a requi" "red PCK file was not loaded at all.", (ftnlen)1840, ( ftnlen)475); /* Fill in the variable data in the error message. */ if (found) { /* The frame system knows the name of the body-fixed frame. */ setmsg_(errmsg, (ftnlen)1840); errch_("#", "body-fixed frame", (ftnlen)1, (ftnlen)16); errch_("#", fixfrm, (ftnlen)1, (ftnlen)32); errch_("#", timstr, (ftnlen)1, (ftnlen)35); } else { /* The frame system doesn't know the name of the */ /* body-fixed frame, most likely due to a missing */ /* frame kernel. */ suffix_("#", &c__1, errmsg, (ftnlen)1, (ftnlen)1840); setmsg_(errmsg, (ftnlen)1840); errch_("#", "body-fixed frame associated with the ID code", ( ftnlen)1, (ftnlen)44); errint_("#", body, (ftnlen)1); errch_("#", timstr, (ftnlen)1, (ftnlen)35); errch_("#", "Also, a frame kernel defining the body-fixed fr" "ame associated with body # may need to be loaded.", ( ftnlen)1, (ftnlen)96); errint_("#", body, (ftnlen)1); } sigerr_("SPICE(FRAMEDATANOTFOUND)", (ftnlen)24); chkout_("BODMAT", (ftnlen)6); return 0; } /* Find the body code used to label the reference frame and epoch */ /* specifiers for the orientation constants for BODY. */ /* For planetary systems, the reference frame and epoch for the */ /* orientation constants is associated with the system */ /* barycenter, not with individual bodies in the system. For any */ /* other bodies, (the Sun or asteroids, for example) the body's */ /* own code is used as the label. */ refid = zzbodbry_(body); /* Look up the epoch of the constants. The epoch is specified */ /* as a Julian ephemeris date. The epoch defaults to J2000. */ s_copy(item, "BODY#_CONSTANTS_JED_EPOCH", (ftnlen)32, (ftnlen)25); repmi_(item, "#", &refid, item, (ftnlen)32, (ftnlen)1, (ftnlen)32); gdpool_(item, &c__1, &c__1, &dim, &conepc, &found, (ftnlen)32); if (found) { /* The reference epoch is returned as a JED. Convert to */ /* ephemeris seconds past J2000. Then convert the input ET to */ /* seconds past the reference epoch. */ conepc = spd_() * (conepc - j2000_()); epoch = *et - conepc; } else { epoch = *et; } /* Look up the reference frame of the constants. The reference */ /* frame is specified by a code recognized by CHGIRF. The */ /* default frame is J2000, symbolized by the code J2CODE. */ s_copy(item, "BODY#_CONSTANTS_REF_FRAME", (ftnlen)32, (ftnlen)25); repmi_(item, "#", &refid, item, (ftnlen)32, (ftnlen)1, (ftnlen)32); gdpool_(item, &c__1, &c__1, &dim, &conref, &found, (ftnlen)32); if (found) { ref = i_dnnt(&conref); } else { ref = j2code; } /* Whatever the body, it has quadratic time polynomials for */ /* the RA and Dec of the pole, and for the rotation of the */ /* Prime Meridian. */ s_copy(item, "POLE_RA", (ftnlen)32, (ftnlen)7); cleard_(&c__3, rcoef); bodvcd_(body, item, &c__3, &na, rcoef, (ftnlen)32); s_copy(item, "POLE_DEC", (ftnlen)32, (ftnlen)8); cleard_(&c__3, dcoef); bodvcd_(body, item, &c__3, &nd, dcoef, (ftnlen)32); s_copy(item, "PM", (ftnlen)32, (ftnlen)2); cleard_(&c__3, wcoef); bodvcd_(body, item, &c__3, &nw, wcoef, (ftnlen)32); /* There may be additional nutation and libration (THETA) terms. */ ntheta = 0; na = 0; nd = 0; nw = 0; s_copy(item, "NUT_PREC_ANGLES", (ftnlen)32, (ftnlen)15); if (bodfnd_(&refid, item, (ftnlen)32)) { bodvcd_(&refid, item, &c__100, &ntheta, tcoef, (ftnlen)32); ntheta /= 2; } s_copy(item, "NUT_PREC_RA", (ftnlen)32, (ftnlen)11); if (bodfnd_(body, item, (ftnlen)32)) { bodvcd_(body, item, &c__100, &na, ac, (ftnlen)32); } s_copy(item, "NUT_PREC_DEC", (ftnlen)32, (ftnlen)12); if (bodfnd_(body, item, (ftnlen)32)) { bodvcd_(body, item, &c__100, &nd, dc, (ftnlen)32); } s_copy(item, "NUT_PREC_PM", (ftnlen)32, (ftnlen)11); if (bodfnd_(body, item, (ftnlen)32)) { bodvcd_(body, item, &c__100, &nw, wc, (ftnlen)32); } /* Computing MAX */ i__1 = max(na,nd); if (max(i__1,nw) > ntheta) { setmsg_("Insufficient number of nutation/precession angles for b" "ody * at time #.", (ftnlen)71); errint_("*", body, (ftnlen)1); errdp_("#", et, (ftnlen)1); sigerr_("SPICE(KERNELVARNOTFOUND)", (ftnlen)24); chkout_("BODMAT", (ftnlen)6); return 0; } /* Evaluate the time polynomials at EPOCH. */ d__ = epoch / spd_(); t = d__ / 36525.; ra = rcoef[0] + t * (rcoef[1] + t * rcoef[2]); dec = dcoef[0] + t * (dcoef[1] + t * dcoef[2]); w = wcoef[0] + d__ * (wcoef[1] + d__ * wcoef[2]); /* Add nutation and libration as appropriate. */ i__1 = ntheta; for (i__ = 1; i__ <= i__1; ++i__) { theta = (tcoef[(i__2 = (i__ << 1) - 2) < 200 && 0 <= i__2 ? i__2 : s_rnge("tcoef", i__2, "bodmat_", (ftnlen)700)] + t * tcoef[(i__3 = (i__ << 1) - 1) < 200 && 0 <= i__3 ? i__3 : s_rnge("tcoef", i__3, "bodmat_", (ftnlen)700)]) * rpd_(); sinth[(i__2 = i__ - 1) < 100 && 0 <= i__2 ? i__2 : s_rnge("sinth", i__2, "bodmat_", (ftnlen)702)] = sin(theta); costh[(i__2 = i__ - 1) < 100 && 0 <= i__2 ? i__2 : s_rnge("costh", i__2, "bodmat_", (ftnlen)703)] = cos(theta); } ra += vdotg_(ac, sinth, &na); dec += vdotg_(dc, costh, &nd); w += vdotg_(wc, sinth, &nw); /* Convert from degrees to radians and mod by two pi. */ ra *= rpd_(); dec *= rpd_(); w *= rpd_(); d__1 = twopi_(); ra = d_mod(&ra, &d__1); d__1 = twopi_(); dec = d_mod(&dec, &d__1); d__1 = twopi_(); w = d_mod(&w, &d__1); /* Convert to Euler angles. */ phi = ra + halfpi_(); delta = halfpi_() - dec; /* Produce the rotation matrix defined by the Euler angles. */ eul2m_(&w, &delta, &phi, &c__3, &c__1, &c__3, tipm); } /* Convert TIPM to the J2000-to-bodyfixed rotation, if is is not */ /* already referenced to J2000. */ if (ref != j2code) { /* Find the transformation from the J2000 frame to the frame */ /* designated by REF. Form the transformation from `REF' */ /* coordinates to body-fixed coordinates. Compose the */ /* transformations to obtain the J2000-to-body-fixed */ /* transformation. */ irfrot_(&j2code, &ref, j2ref); mxm_(tipm, j2ref, tmpmat); moved_(tmpmat, &c__9, tipm); } /* TIPM now gives the transformation from J2000 to */ /* body-fixed coordinates at epoch ET seconds past J2000, */ /* regardless of the epoch and frame of the orientation constants */ /* for the specified body. */ chkout_("BODMAT", (ftnlen)6); return 0; } /* bodmat_ */
/* $Procedure ZZSPKAP1 ( S/P Kernel, apparent state ) */ /* Subroutine */ int zzspkap1_(integer *targ, doublereal *et, char *ref, doublereal *sobs, char *abcorr, doublereal *starg, doublereal *lt, ftnlen ref_len, ftnlen abcorr_len) { /* Initialized data */ static logical first = TRUE_; static char flags[5*9] = "NONE " "LT " "LT+S " "CN " "CN+S " "XLT " "XLT+S" "XCN " "XCN+S"; static char prvcor[5] = " "; /* System generated locals */ integer i__1; doublereal d__1; /* Builtin functions */ integer s_cmp(char *, char *, ftnlen, ftnlen); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ char corr[5]; extern /* Subroutine */ int zzspksb1_(integer *, doublereal *, char *, doublereal *, ftnlen); static logical xmit; extern /* Subroutine */ int vequ_(doublereal *, doublereal *); integer i__, refid; extern /* Subroutine */ int chkin_(char *, ftnlen), errch_(char *, char *, ftnlen, ftnlen), moved_(doublereal *, integer *, doublereal *); static logical usecn; doublereal sapos[3]; extern /* Subroutine */ int vsubg_(doublereal *, doublereal *, integer *, doublereal *); static logical uselt; extern doublereal vnorm_(doublereal *), clight_(void); extern integer isrchc_(char *, integer *, char *, ftnlen, ftnlen); extern /* Subroutine */ int stelab_(doublereal *, doublereal *, doublereal *), sigerr_(char *, ftnlen), chkout_(char *, ftnlen), stlabx_(doublereal *, doublereal *, doublereal *); integer ltsign; extern /* Subroutine */ int ljucrs_(integer *, char *, char *, ftnlen, ftnlen), setmsg_(char *, ftnlen); doublereal tstate[6]; integer maxitr; extern /* Subroutine */ int irfnum_(char *, integer *, ftnlen); extern logical return_(void); static logical usestl; extern logical odd_(integer *); /* $ Abstract */ /* Deprecated: This routine has been superseded by SPKAPS. This */ /* routine is supported for purposes of backward compatibility only. */ /* Return the state (position and velocity) of a target body */ /* relative to an observer, optionally corrected for light time and */ /* stellar aberration. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* EPHEMERIS */ /* $ Declarations */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* TARG I Target body. */ /* ET I Observer epoch. */ /* REF I Inertial reference frame of observer's state. */ /* SOBS I State of observer wrt. solar system barycenter. */ /* ABCORR I Aberration correction flag. */ /* STARG O State of target. */ /* LT O One way light time between observer and target. */ /* $ Detailed_Input */ /* TARG is the NAIF ID code for a target body. The target */ /* and observer define a state vector whose position */ /* component points from the observer to the target. */ /* ET is the ephemeris time, expressed as seconds past J2000 */ /* TDB, at which the state of the target body relative to */ /* the observer is to be computed. ET refers to time at */ /* the observer's location. */ /* REF is the inertial reference frame with respect to which */ /* the observer's state SOBS is expressed. REF must be */ /* recognized by the SPICE Toolkit. The acceptable */ /* frames are listed in the Frames Required Reading, as */ /* well as in the SPICELIB routine CHGIRF. */ /* Case and blanks are not significant in the string REF. */ /* SOBS is the geometric (uncorrected) state of the observer */ /* relative to the solar system barycenter at epoch ET. */ /* SOBS is a 6-vector: the first three components of */ /* SOBS represent a Cartesian position vector; the last */ /* three components represent the corresponding velocity */ /* vector. SOBS is expressed relative to the inertial */ /* reference frame designated by REF. */ /* Units are always km and km/sec. */ /* ABCORR indicates the aberration corrections to be applied */ /* to the state of the target body to account for one-way */ /* light time and stellar aberration. See the discussion */ /* in the Particulars section for recommendations on */ /* how to choose aberration corrections. */ /* ABCORR may be any of the following: */ /* 'NONE' Apply no correction. Return the */ /* geometric state of the target body */ /* relative to the observer. */ /* The following values of ABCORR apply to the */ /* "reception" case in which photons depart from the */ /* target's location at the light-time corrected epoch */ /* ET-LT and *arrive* at the observer's location at ET: */ /* 'LT' Correct for one-way light time (also */ /* called "planetary aberration") using a */ /* Newtonian formulation. This correction */ /* yields the state of the target at the */ /* moment it emitted photons arriving at */ /* the observer at ET. */ /* The light time correction involves */ /* iterative solution of the light time */ /* equation (see Particulars for details). */ /* The solution invoked by the 'LT' option */ /* uses one iteration. */ /* 'LT+S' Correct for one-way light time and */ /* stellar aberration using a Newtonian */ /* formulation. This option modifies the */ /* state obtained with the 'LT' option to */ /* account for the observer's velocity */ /* relative to the solar system */ /* barycenter. The result is the apparent */ /* state of the target---the position and */ /* velocity of the target as seen by the */ /* observer. */ /* 'CN' Converged Newtonian light time */ /* correction. In solving the light time */ /* equation, the 'CN' correction iterates */ /* until the solution converges (three */ /* iterations on all supported platforms). */ /* Whether the 'CN+S' solution is */ /* substantially more accurate than the */ /* 'LT' solution depends on the geometry */ /* of the participating objects and on the */ /* accuracy of the input data. In all */ /* cases this routine will execute more */ /* slowly when a converged solution is */ /* computed. See the Particulars section */ /* of SPKEZR for a discussion of precision */ /* of light time corrections. */ /* 'CN+S' Converged Newtonian light time */ /* correction and stellar aberration */ /* correction. */ /* The following values of ABCORR apply to the */ /* "transmission" case in which photons *depart* from */ /* the observer's location at ET and arrive at the */ /* target's location at the light-time corrected epoch */ /* ET+LT: */ /* 'XLT' "Transmission" case: correct for */ /* one-way light time using a Newtonian */ /* formulation. This correction yields the */ /* state of the target at the moment it */ /* receives photons emitted from the */ /* observer's location at ET. */ /* 'XLT+S' "Transmission" case: correct for */ /* one-way light time and stellar */ /* aberration using a Newtonian */ /* formulation This option modifies the */ /* state obtained with the 'XLT' option to */ /* account for the observer's velocity */ /* relative to the solar system */ /* barycenter. The position component of */ /* the computed target state indicates the */ /* direction that photons emitted from the */ /* observer's location must be "aimed" to */ /* hit the target. */ /* 'XCN' "Transmission" case: converged */ /* Newtonian light time correction. */ /* 'XCN+S' "Transmission" case: converged */ /* Newtonian light time correction and */ /* stellar aberration correction. */ /* Neither special nor general relativistic effects are */ /* accounted for in the aberration corrections applied */ /* by this routine. */ /* Case and blanks are not significant in the string */ /* ABCORR. */ /* $ Detailed_Output */ /* STARG is a Cartesian state vector representing the position */ /* and velocity of the target body relative to the */ /* specified observer. STARG is corrected for the */ /* specified aberrations, and is expressed with respect */ /* to the specified inertial reference frame. The first */ /* three components of STARG represent the x-, y- and */ /* z-components of the target's position; last three */ /* components form the corresponding velocity vector. */ /* The position component of STARG points from the */ /* observer's location at ET to the aberration-corrected */ /* location of the target. Note that the sense of the */ /* position vector is independent of the direction of */ /* radiation travel implied by the aberration */ /* correction. */ /* The velocity component of STARG is obtained by */ /* evaluating the target's geometric state at the light */ /* time corrected epoch, so for aberration-corrected */ /* states, the velocity is not precisely equal to the */ /* time derivative of the position. */ /* Units are always km and km/sec. */ /* LT is the one-way light time between the observer and */ /* target in seconds. If the target state is corrected */ /* for aberrations, then LT is the one-way light time */ /* between the observer and the light time corrected */ /* target location. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If the value of ABCORR is not recognized, the error */ /* 'SPICE(SPKINVALIDOPTION)' is signaled. */ /* 2) If the reference frame requested is not a recognized */ /* inertial reference frame, the error 'SPICE(BADFRAME)' */ /* is signaled. */ /* 3) If the state of the target relative to the solar system */ /* barycenter cannot be computed, the error will be diagnosed */ /* by routines in the call tree of this routine. */ /* $ Files */ /* This routine computes states using SPK files that have been */ /* loaded into the SPICE system, normally via the kernel loading */ /* interface routine FURNSH. Application programs typically load */ /* kernels once before this routine is called, for example during */ /* program initialization; kernels need not be loaded repeatedly. */ /* See the routine FURNSH and the SPK and KERNEL Required Reading */ /* for further information on loading (and unloading) kernels. */ /* If any of the ephemeris data used to compute STARG are expressed */ /* relative to a non-inertial frame in the SPK files providing those */ /* data, additional kernels may be needed to enable the reference */ /* frame transformations required to compute the state. Normally */ /* these additional kernels are PCK files or frame kernels. Any */ /* such kernels must already be loaded at the time this routine is */ /* called. */ /* $ Particulars */ /* In space science or engineering applications one frequently */ /* wishes to know where to point a remote sensing instrument, such */ /* as an optical camera or radio antenna, in order to observe or */ /* otherwise receive radiation from a target. This pointing problem */ /* is complicated by the finite speed of light: one needs to point */ /* to where the target appears to be as opposed to where it actually */ /* is at the epoch of observation. We use the adjectives */ /* "geometric," "uncorrected," or "true" to refer to an actual */ /* position or state of a target at a specified epoch. When a */ /* geometric position or state vector is modified to reflect how it */ /* appears to an observer, we describe that vector by any of the */ /* terms "apparent," "corrected," "aberration corrected," or "light */ /* time and stellar aberration corrected." */ /* The SPICE Toolkit can correct for two phenomena affecting the */ /* apparent location of an object: one-way light time (also called */ /* "planetary aberration") and stellar aberration. Correcting for */ /* one-way light time is done by computing, given an observer and */ /* observation epoch, where a target was when the observed photons */ /* departed the target's location. The vector from the observer to */ /* this computed target location is called a "light time corrected" */ /* vector. The light time correction depends on the motion of the */ /* target, but it is independent of the velocity of the observer */ /* relative to the solar system barycenter. Relativistic effects */ /* such as light bending and gravitational delay are not accounted */ /* for in the light time correction performed by this routine. */ /* The velocity of the observer also affects the apparent location */ /* of a target: photons arriving at the observer are subject to a */ /* "raindrop effect" whereby their velocity relative to the observer */ /* is, using a Newtonian approximation, the photons' velocity */ /* relative to the solar system barycenter minus the velocity of the */ /* observer relative to the solar system barycenter. This effect is */ /* called "stellar aberration." Stellar aberration is independent */ /* of the velocity of the target. The stellar aberration formula */ /* used by this routine is non-relativistic. */ /* Stellar aberration corrections are applied after light time */ /* corrections: the light time corrected target position vector is */ /* used as an input to the stellar aberration correction. */ /* When light time and stellar aberration corrections are both */ /* applied to a geometric position vector, the resulting position */ /* vector indicates where the target "appears to be" from the */ /* observer's location. */ /* As opposed to computing the apparent position of a target, one */ /* may wish to compute the pointing direction required for */ /* transmission of photons to the target. This requires correction */ /* of the geometric target position for the effects of light time and */ /* stellar aberration, but in this case the corrections are computed */ /* for radiation traveling from the observer to the target. */ /* The "transmission" light time correction yields the target's */ /* location as it will be when photons emitted from the observer's */ /* location at ET arrive at the target. The transmission stellar */ /* aberration correction is the inverse of the traditional stellar */ /* aberration correction: it indicates the direction in which */ /* radiation should be emitted so that, using a Newtonian */ /* approximation, the sum of the velocity of the radiation relative */ /* to the observer and of the observer's velocity, relative to the */ /* solar system barycenter, yields a velocity vector that points in */ /* the direction of the light time corrected position of the target. */ /* The traditional aberration corrections applicable to observation */ /* and those applicable to transmission are related in a simple way: */ /* one may picture the geometry of the "transmission" case by */ /* imagining the "observation" case running in reverse time order, */ /* and vice versa. */ /* One may reasonably object to using the term "observer" in the */ /* transmission case, in which radiation is emitted from the */ /* observer's location. The terminology was retained for */ /* consistency with earlier documentation. */ /* Below, we indicate the aberration corrections to use for some */ /* common applications: */ /* 1) Find the apparent direction of a target for a remote-sensing */ /* observation. */ /* Use 'LT+S' or 'CN+S: apply both light time and stellar */ /* aberration corrections. */ /* Note that using light time corrections alone ('LT' or 'CN') */ /* is generally not a good way to obtain an approximation to */ /* an apparent target vector: since light time and stellar */ /* aberration corrections often partially cancel each other, */ /* it may be more accurate to use no correction at all than to */ /* use light time alone. */ /* 2) Find the corrected pointing direction to radiate a signal */ /* to a target. This computation is often applicable for */ /* implementing communications sessions. */ /* Use 'XLT+S' or 'XCN+S: apply both light time and stellar */ /* aberration corrections for transmission. */ /* 3) Compute the apparent position of a target body relative */ /* to a star or other distant object. */ /* Use 'LT', 'CN', 'LT+S', or 'CN+S' as needed to match the */ /* correction applied to the position of the distant */ /* object. For example, if a star position is obtained from */ /* a catalog, the position vector may not be corrected for */ /* stellar aberration. In this case, to find the angular */ /* separation of the star and the limb of a planet, the */ /* vector from the observer to the planet should be */ /* corrected for light time but not stellar aberration. */ /* 4) Obtain an uncorrected state vector derived directly from */ /* data in an SPK file. */ /* Use 'NONE'. */ /* C */ /* 5) Use a geometric state vector as a low-accuracy estimate */ /* of the apparent state for an application where execution */ /* speed is critical: */ /* Use 'NONE'. */ /* 6) While this routine cannot perform the relativistic */ /* aberration corrections required to compute states */ /* with the highest possible accuracy, it can supply the */ /* geometric states required as inputs to these computations: */ /* Use 'NONE', then apply high-accuracy aberration */ /* corrections (not available in the SPICE Toolkit). */ /* Below, we discuss in more detail how the aberration corrections */ /* applied by this routine are computed. */ /* Geometric case */ /* ============== */ /* SPKAPP begins by computing the geometric position T(ET) of the */ /* target body relative to the solar system barycenter (SSB). */ /* Subtracting the geometric position of the observer O(ET) gives */ /* the geometric position of the target body relative to the */ /* observer. The one-way light time, LT, is given by */ /* | T(ET) - O(ET) | */ /* LT = ------------------- */ /* c */ /* The geometric relationship between the observer, target, and */ /* solar system barycenter is as shown: */ /* SSB ---> O(ET) */ /* | / */ /* | / */ /* | / */ /* | / T(ET) - O(ET) */ /* V V */ /* T(ET) */ /* The returned state consists of the position vector */ /* T(ET) - O(ET) */ /* and a velocity obtained by taking the difference of the */ /* corresponding velocities. In the geometric case, the */ /* returned velocity is actually the time derivative of the */ /* position. */ /* Reception case */ /* ============== */ /* When any of the options 'LT', 'CN', 'LT+S', 'CN+S' is */ /* selected, SPKAPP computes the position of the target body at */ /* epoch ET-LT, where LT is the one-way light time. Let T(t) and */ /* O(t) represent the positions of the target and observer */ /* relative to the solar system barycenter at time t; then LT is */ /* the solution of the light-time equation */ /* | T(ET-LT) - O(ET) | */ /* LT = ------------------------ (1) */ /* c */ /* The ratio */ /* | T(ET) - O(ET) | */ /* --------------------- (2) */ /* c */ /* is used as a first approximation to LT; inserting (2) into the */ /* RHS of the light-time equation (1) yields the "one-iteration" */ /* estimate of the one-way light time. Repeating the process */ /* until the estimates of LT converge yields the "converged */ /* Newtonian" light time estimate. */ /* Subtracting the geometric position of the observer O(ET) gives */ /* the position of the target body relative to the observer: */ /* T(ET-LT) - O(ET). */ /* SSB ---> O(ET) */ /* | \ | */ /* | \ | */ /* | \ | T(ET-LT) - O(ET) */ /* | \ | */ /* V V V */ /* T(ET) T(ET-LT) */ /* The position component of the light-time corrected state */ /* is the vector */ /* T(ET-LT) - O(ET) */ /* The velocity component of the light-time corrected state */ /* is the difference */ /* T_vel(ET-LT) - O_vel(ET) */ /* where T_vel and O_vel are, respectively, the velocities of */ /* the target and observer relative to the solar system */ /* barycenter at the epochs ET-LT and ET. */ /* If correction for stellar aberration is requested, the target */ /* position is rotated toward the solar system barycenter- */ /* relative velocity vector of the observer. The rotation is */ /* computed as follows: */ /* Let r be the light time corrected vector from the observer */ /* to the object, and v be the velocity of the observer with */ /* respect to the solar system barycenter. Let w be the angle */ /* between them. The aberration angle phi is given by */ /* sin(phi) = v sin(w) / c */ /* Let h be the vector given by the cross product */ /* h = r X v */ /* Rotate r by phi radians about h to obtain the apparent */ /* position of the object. */ /* The velocity component of the output state STARG is */ /* not corrected for stellar aberration. */ /* Transmission case */ /* ================== */ /* When any of the options 'XLT', 'XCN', 'XLT+S', 'XCN+S' are */ /* selected, SPKAPP computes the position of the target body T at */ /* epoch ET+LT, where LT is the one-way light time. LT is the */ /* solution of the light-time equation */ /* | T(ET+LT) - O(ET) | */ /* LT = ------------------------ (3) */ /* c */ /* Subtracting the geometric position of the observer, O(ET), */ /* gives the position of the target body relative to the */ /* observer: T(ET-LT) - O(ET). */ /* SSB --> O(ET) */ /* / | * */ /* / | * T(ET+LT) - O(ET) */ /* / |* */ /* / *| */ /* V V V */ /* T(ET+LT) T(ET) */ /* The position component of the light-time corrected state */ /* is the vector */ /* T(ET+LT) - O(ET) */ /* The velocity component of the light-time corrected state */ /* is the difference */ /* T_vel(ET+LT) - O_vel(ET) */ /* where T_vel and O_vel are, respectively, the velocities of */ /* the target and observer relative to the solar system */ /* barycenter at the epochs ET+LT and ET. */ /* If correction for stellar aberration is requested, the target */ /* position is rotated away from the solar system barycenter- */ /* relative velocity vector of the observer. The rotation is */ /* computed as in the reception case, but the sign of the */ /* rotation angle is negated. */ /* The velocity component of the output state STARG is */ /* not corrected for stellar aberration. */ /* Neither special nor general relativistic effects are accounted */ /* for in the aberration corrections performed by this routine. */ /* $ Examples */ /* In the following code fragment, SPKSSB and SPKAPP are used */ /* to display the position of Io (body 501) as seen from the */ /* Voyager 2 spacecraft (Body -32) at a series of epochs. */ /* Normally, one would call the high-level reader SPKEZR to obtain */ /* state vectors. The example below illustrates the interface */ /* of this routine but is not intended as a recommendation on */ /* how to use the SPICE SPK subsystem. */ /* The use of integer ID codes is necessitated by the low-level */ /* interface of this routine. */ /* IO = 501 */ /* VGR2 = -32 */ /* DO WHILE ( EPOCH .LE. END ) */ /* CALL SPKSSB ( VGR2, EPOCH, 'J2000', STVGR2 ) */ /* CALL SPKAPP ( IO, EPOCH, 'J2000', STVGR2, */ /* . 'LT+S', STIO, LT ) */ /* CALL RECRAD ( STIO, RANGE, RA, DEC ) */ /* WRITE (*,*) RA * DPR(), DEC * DPR() */ /* EPOCH = EPOCH + DELTA */ /* END DO */ /* $ Restrictions */ /* 1) The kernel files to be used by SPKAPP must be loaded */ /* (normally by the SPICELIB kernel loader FURNSH) before */ /* this routine is called. */ /* 2) Unlike most other SPK state computation routines, this */ /* routine requires that the input state be relative to an */ /* inertial reference frame. Non-inertial frames are not */ /* supported by this routine. */ /* 3) In a future version of this routine, the implementation */ /* of the aberration corrections may be enhanced to improve */ /* accuracy. */ /* $ Literature_References */ /* SPK Required Reading. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* H.A. Neilan (JPL) */ /* W.L. Taber (JPL) */ /* B.V. Semenov (JPL) */ /* I.M. Underwood (JPL) */ /* $ Version */ /* - SPICELIB Version 3.1.0, 04-JUL-2014 (NJB) (BVS) */ /* Discussion of light time corrections was updated. Assertions */ /* that converged light time corrections are unlikely to be */ /* useful were removed. */ /* Last update was 21-SEP-2013 (BVS) */ /* Updated to call LJUCRS instead of CMPRSS/UCASE. */ /* - SPICELIB Version 3.0.3, 18-MAY-2010 (BVS) */ /* Index lines now state that this routine is deprecated. */ /* - SPICELIB Version 3.0.2, 08-JAN-2008 (NJB) */ /* The Abstract section of the header was updated to */ /* indicate that this routine has been deprecated. */ /* - SPICELIB Version 3.0.1, 20-OCT-2003 (EDW) */ /* Added mention that LT returns in seconds. */ /* Corrected spelling errors. */ /* - SPICELIB Version 3.0.0, 18-DEC-2001 (NJB) */ /* Updated to handle aberration corrections for transmission */ /* of radiation. Formerly, only the reception case was */ /* supported. The header was revised and expanded to explain */ /* the functionality of this routine in more detail. */ /* - SPICELIB Version 2.1.0, 09-JUL-1996 (WLT) */ /* Corrected the description of LT in the Detailed Output */ /* section of the header. */ /* - SPICELIB Version 2.0.0, 22-MAY-1995 (WLT) */ /* The routine was modified to support the options 'CN' and */ /* 'CN+S' aberration corrections. Moreover, diagnostics were */ /* added to check for reference frames that are not recognized */ /* inertial frames. */ /* - SPICELIB Version 1.1.2, 10-MAR-1992 (WLT) */ /* Comment section for permuted index source lines was added */ /* following the header. */ /* - SPICELIB Version 1.1.1, 06-MAR-1991 (JML) */ /* In the example program, the calling sequence of SPKAPP */ /* was corrected. */ /* - SPICELIB Version 1.1.0, 25-MAY-1990 (HAN) */ /* The local variable CORR was added to eliminate a */ /* run-time error that occurred when SPKAPP was determining */ /* what corrections to apply to the state. */ /* - SPICELIB Version 1.0.1, 22-MAR-1990 (HAN) */ /* Literature references added to the header. */ /* - SPICELIB Version 1.0.0, 31-JAN-1990 (IMU) */ /* -& */ /* $ Index_Entries */ /* DEPRECATED low-level aberration correction */ /* DEPRECATED apparent state from spk file */ /* DEPRECATED get apparent state */ /* -& */ /* $ Revisions */ /* - SPICELIB Version 2.0.0, 22-MAY-1995 (WLT) */ /* The routine was modified to support the options 'CN' and */ /* 'CN+S' aberration corrections. Moreover, diagnostics were */ /* added to check for reference frames that are not recognized */ /* inertial frames. */ /* - SPICELIB Version 1.1.1, 06-MAR-1991 (JML) */ /* In the example program, the calling sequence of SPKAPP */ /* was corrected. */ /* - SPICELIB Version 1.1.0, 25-MAY-1990 (HAN) */ /* The local variable CORR was added to eliminate a run-time */ /* error that occurred when SPKAPP was determining what */ /* corrections to apply to the state. If the literal string */ /* 'LT' was assigned to ABCORR, SPKAPP attempted to look at */ /* ABCORR(3:4). Because ABCORR is a passed length argument, its */ /* length is not guaranteed, and those positions may not exist. */ /* Searching beyond the bounds of a string resulted in a */ /* run-time error at NAIF because NAIF compiles SPICELIB using the */ /* CHECK=BOUNDS option for the DEC VAX/VMX DCL FORTRAN command. */ /* Also, without the local variable CORR, SPKAPP would have to */ /* modify the value of a passed argument, ABCORR. That's a no no. */ /* -& */ /* SPICELIB functions */ /* Local parameters */ /* Indices of flags in the FLAGS array: */ /* Local variables */ /* Saved variables */ /* Initial values */ /* Standard SPICE error handling. */ if (return_()) { return 0; } else { chkin_("ZZSPKAP1", (ftnlen)8); } if (first || s_cmp(abcorr, prvcor, abcorr_len, (ftnlen)5) != 0) { /* The aberration correction flag differs from the value it */ /* had on the previous call, if any. Analyze the new flag. */ /* Remove leading and embedded white space from the aberration */ /* correction flag and convert to upper case. */ ljucrs_(&c__0, abcorr, corr, abcorr_len, (ftnlen)5); /* Locate the flag in our list of flags. */ i__ = isrchc_(corr, &c__9, flags, (ftnlen)5, (ftnlen)5); if (i__ == 0) { setmsg_("Requested aberration correction # is not supported.", ( ftnlen)51); errch_("#", abcorr, (ftnlen)1, abcorr_len); sigerr_("SPICE(SPKINVALIDOPTION)", (ftnlen)23); chkout_("ZZSPKAP1", (ftnlen)8); return 0; } /* The aberration correction flag is recognized; save it. */ s_copy(prvcor, abcorr, (ftnlen)5, abcorr_len); /* Set logical flags indicating the attributes of the requested */ /* correction. */ xmit = i__ > 5; uselt = i__ == 2 || i__ == 3 || i__ == 6 || i__ == 7; usestl = i__ > 1 && odd_(&i__); usecn = i__ == 4 || i__ == 5 || i__ == 8 || i__ == 9; first = FALSE_; } /* See if the reference frame is a recognized inertial frame. */ irfnum_(ref, &refid, ref_len); if (refid == 0) { setmsg_("The requested frame '#' is not a recognized inertial frame. " , (ftnlen)60); errch_("#", ref, (ftnlen)1, ref_len); sigerr_("SPICE(BADFRAME)", (ftnlen)15); chkout_("ZZSPKAP1", (ftnlen)8); return 0; } /* Determine the sign of the light time offset. */ if (xmit) { ltsign = 1; } else { ltsign = -1; } /* Find the geometric state of the target body with respect to the */ /* solar system barycenter. Subtract the state of the observer */ /* to get the relative state. Use this to compute the one-way */ /* light time. */ zzspksb1_(targ, et, ref, starg, ref_len); vsubg_(starg, sobs, &c__6, tstate); moved_(tstate, &c__6, starg); *lt = vnorm_(starg) / clight_(); /* To correct for light time, find the state of the target body */ /* at the current epoch minus the one-way light time. Note that */ /* the observer remains where he is. */ if (uselt) { maxitr = 1; } else if (usecn) { maxitr = 3; } else { maxitr = 0; } i__1 = maxitr; for (i__ = 1; i__ <= i__1; ++i__) { d__1 = *et + ltsign * *lt; zzspksb1_(targ, &d__1, ref, starg, ref_len); vsubg_(starg, sobs, &c__6, tstate); moved_(tstate, &c__6, starg); *lt = vnorm_(starg) / clight_(); } /* At this point, STARG contains the light time corrected */ /* state of the target relative to the observer. */ /* If stellar aberration correction is requested, perform it now. */ /* Stellar aberration corrections are not applied to the target's */ /* velocity. */ if (usestl) { if (xmit) { /* This is the transmission case. */ /* Compute the position vector obtained by applying */ /* "reception" stellar aberration to STARG. */ stlabx_(starg, &sobs[3], sapos); vequ_(sapos, starg); } else { /* This is the reception case. */ /* Compute the position vector obtained by applying */ /* "reception" stellar aberration to STARG. */ stelab_(starg, &sobs[3], sapos); vequ_(sapos, starg); } } chkout_("ZZSPKAP1", (ftnlen)8); return 0; } /* zzspkap1_ */
/* $Procedure ZZSPKAS1 ( SPK, apparent state ) */ /* Subroutine */ int zzspkas1_(integer *targ, doublereal *et, char *ref, char *abcorr, doublereal *stobs, doublereal *accobs, doublereal *starg, doublereal *lt, doublereal *dlt, ftnlen ref_len, ftnlen abcorr_len) { /* Initialized data */ static logical first = TRUE_; static char prvcor[5] = " "; /* Builtin functions */ integer s_cmp(char *, char *, ftnlen, ftnlen); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ extern /* Subroutine */ int vadd_(doublereal *, doublereal *, doublereal * ), vequ_(doublereal *, doublereal *); static logical xmit; extern /* Subroutine */ int zzspklt1_(integer *, doublereal *, char *, char *, doublereal *, doublereal *, doublereal *, doublereal *, ftnlen, ftnlen), zzstelab_(logical *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *), zzprscor_(char *, logical *, ftnlen); integer refid; extern /* Subroutine */ int chkin_(char *, ftnlen), errch_(char *, char *, ftnlen, ftnlen); doublereal pcorr[3]; static logical uselt; extern logical failed_(void); logical attblk[15]; doublereal dpcorr[3], corvel[3]; extern /* Subroutine */ int sigerr_(char *, ftnlen), chkout_(char *, ftnlen), irfnum_(char *, integer *, ftnlen), setmsg_(char *, ftnlen); doublereal corpos[3]; extern logical return_(void); static logical usestl; /* $ Abstract */ /* Given the state and acceleration of an observer relative to the */ /* solar system barycenter, return the state (position and velocity) */ /* of a target body relative to the observer, optionally corrected */ /* for light time and stellar aberration. All input and output */ /* vectors are expressed relative to an inertial reference frame. */ /* This routine supersedes SPKAPP. */ /* SPICE users normally should call the high-level API routines */ /* SPKEZR or SPKEZ rather than this routine. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* EPHEMERIS */ /* $ Declarations */ /* $ Abstract */ /* Include file zzabcorr.inc */ /* SPICE private file intended solely for the support of SPICE */ /* routines. Users should not include this file directly due */ /* to the volatile nature of this file */ /* The parameters below define the structure of an aberration */ /* correction attribute block. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Parameters */ /* An aberration correction attribute block is an array of logical */ /* flags indicating the attributes of the aberration correction */ /* specified by an aberration correction string. The attributes */ /* are: */ /* - Is the correction "geometric"? */ /* - Is light time correction indicated? */ /* - Is stellar aberration correction indicated? */ /* - Is the light time correction of the "converged */ /* Newtonian" variety? */ /* - Is the correction for the transmission case? */ /* - Is the correction relativistic? */ /* The parameters defining the structure of the block are as */ /* follows: */ /* NABCOR Number of aberration correction choices. */ /* ABATSZ Number of elements in the aberration correction */ /* block. */ /* GEOIDX Index in block of geometric correction flag. */ /* LTIDX Index of light time flag. */ /* STLIDX Index of stellar aberration flag. */ /* CNVIDX Index of converged Newtonian flag. */ /* XMTIDX Index of transmission flag. */ /* RELIDX Index of relativistic flag. */ /* The following parameter is not required to define the block */ /* structure, but it is convenient to include it here: */ /* CORLEN The maximum string length required by any aberration */ /* correction string */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.0, 18-DEC-2004 (NJB) */ /* -& */ /* Number of aberration correction choices: */ /* Aberration correction attribute block size */ /* (number of aberration correction attributes): */ /* Indices of attributes within an aberration correction */ /* attribute block: */ /* Maximum length of an aberration correction string: */ /* End of include file zzabcorr.inc */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* TARG I Target body. */ /* ET I Observer epoch. */ /* REF I Inertial reference frame of output state. */ /* ABCORR I Aberration correction flag. */ /* STOBS I State of the observer relative to the SSB. */ /* ACCOBS I Acceleration of the observer relative to the SSB. */ /* STARG O State of target. */ /* LT O One way light time between observer and target. */ /* DLT O Derivative of light time with respect to time. */ /* $ Detailed_Input */ /* TARG is the NAIF ID code for a target body. The target */ /* and observer define a state vector whose position */ /* component points from the observer to the target. */ /* ET is the ephemeris time, expressed as seconds past */ /* J2000 TDB, at which the state of the target body */ /* relative to the observer is to be computed. ET */ /* refers to time at the observer's location. */ /* REF is the inertial reference frame with respect to which */ /* the input state STOBS, the input acceleration ACCOBS, */ /* and the output state STARG are expressed. REF must be */ /* recognized by the SPICE Toolkit. The acceptable */ /* frames are listed in the Frames Required Reading, as */ /* well as in the SPICELIB routine CHGIRF. */ /* Case and blanks are not significant in the string */ /* REF. */ /* ABCORR indicates the aberration corrections to be applied */ /* to the state of the target body to account for one-way */ /* light time and stellar aberration. See the discussion */ /* in the header of SPKEZR for recommendations on */ /* how to choose aberration corrections. */ /* ABCORR may be any of the following: */ /* 'NONE' Apply no correction. Return the */ /* geometric state of the target body */ /* relative to the observer. */ /* The following values of ABCORR apply to the */ /* "reception" case in which photons depart from the */ /* target's location at the light-time corrected epoch */ /* ET-LT and *arrive* at the observer's location at ET: */ /* 'LT' Correct for one-way light time (also */ /* called "planetary aberration") using a */ /* Newtonian formulation. This correction */ /* yields the state of the target at the */ /* moment it emitted photons arriving at */ /* the observer at ET. */ /* The light time correction uses an */ /* iterative solution of the light time */ /* equation (see Particulars for details). */ /* The solution invoked by the 'LT' option */ /* uses one iteration. */ /* 'LT+S' Correct for one-way light time and */ /* stellar aberration using a Newtonian */ /* formulation. This option modifies the */ /* state obtained with the 'LT' option to */ /* account for the observer's velocity */ /* relative to the solar system */ /* barycenter. The result is the apparent */ /* state of the target---the position and */ /* velocity of the target as seen by the */ /* observer. */ /* 'CN' Converged Newtonian light time */ /* correction. In solving the light time */ /* equation, the 'CN' correction iterates */ /* until the solution converges (three */ /* iterations on all supported platforms). */ /* The 'CN' correction typically does not */ /* substantially improve accuracy because */ /* the errors made by ignoring */ /* relativistic effects may be larger than */ /* the improvement afforded by obtaining */ /* convergence of the light time solution. */ /* The 'CN' correction computation also */ /* requires a significantly greater number */ /* of CPU cycles than does the */ /* one-iteration light time correction. */ /* 'CN+S' Converged Newtonian light time */ /* and stellar aberration corrections. */ /* The following values of ABCORR apply to the */ /* "transmission" case in which photons *depart* from */ /* the observer's location at ET and arrive at the */ /* target's location at the light-time corrected epoch */ /* ET+LT: */ /* 'XLT' "Transmission" case: correct for */ /* one-way light time using a Newtonian */ /* formulation. This correction yields the */ /* state of the target at the moment it */ /* receives photons emitted from the */ /* observer's location at ET. */ /* 'XLT+S' "Transmission" case: correct for */ /* one-way light time and stellar */ /* aberration using a Newtonian */ /* formulation This option modifies the */ /* state obtained with the 'XLT' option to */ /* account for the observer's velocity */ /* relative to the solar system */ /* barycenter. The position component of */ /* the computed target state indicates the */ /* direction that photons emitted from the */ /* observer's location must be "aimed" to */ /* hit the target. */ /* 'XCN' "Transmission" case: converged */ /* Newtonian light time correction. */ /* 'XCN+S' "Transmission" case: converged */ /* Newtonian light time and stellar */ /* aberration corrections. */ /* Neither special nor general relativistic effects are */ /* accounted for in the aberration corrections applied */ /* by this routine. */ /* Case and blanks are not significant in the string */ /* ABCORR. */ /* STOBS is the geometric state of the observer relative to */ /* the solar system barycenter at ET. STOBS is expressed */ /* relative to the reference frame designated by REF. */ /* The target and observer define a state vector whose */ /* position component points from the observer to the */ /* target. */ /* ACCOBS is the geometric acceleration of the observer */ /* relative to the solar system barycenter at ET. This */ /* is the derivative with respect to time of the */ /* velocity portion of STOBS. ACCOBS is expressed */ /* relative to the reference frame designated by REF. */ /* ACCOBS is used for computing stellar aberration */ /* corrected velocity. If stellar aberration corrections */ /* are not specified by ABCORR, ACCOBS is ignored; the */ /* caller need not provide a valid input value in this */ /* case. */ /* $ Detailed_Output */ /* STARG is a Cartesian state vector representing the position */ /* and velocity of the target body relative to the */ /* specified observer. STARG is corrected for the */ /* specified aberrations, and is expressed with respect */ /* to the inertial reference frame designated by REF. */ /* The first three components of STARG represent the x-, */ /* y- and z-components of the target's position; last */ /* three components form the corresponding velocity */ /* vector. */ /* The position component of STARG points from the */ /* observer's location at ET to the aberration-corrected */ /* location of the target. Note that the sense of the */ /* position vector is independent of the direction of */ /* radiation travel implied by the aberration */ /* correction. */ /* Units are always km and km/sec. */ /* LT is the one-way light time between the observer and */ /* target in seconds. If the target state is corrected */ /* for light time, then LT is the one-way light time */ /* between the observer and the light time-corrected */ /* target location. */ /* DLT is the derivative with respect to barycentric */ /* dynamical time of the one way light time between */ /* target and observer: */ /* DLT = d(LT)/d(ET) */ /* DLT can also be described as the rate of change of */ /* one way light time. DLT is unitless, since LT and */ /* ET both have units of TDB seconds. */ /* If the observer and target are at the same position, */ /* then DLT is set to zero. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If the value of ABCORR is not recognized, the error */ /* is diagnosed by a routine in the call tree of this */ /* routine. */ /* 2) If ABCORR calls for stellar aberration but not light */ /* time corrections, the error SPICE(NOTSUPPORTED) is */ /* signaled. */ /* 3) If ABCORR calls for relativistic light time corrections, the */ /* error SPICE(NOTSUPPORTED) is signaled. */ /* 4) If the reference frame requested is not a recognized */ /* inertial reference frame, the error SPICE(BADFRAME) */ /* is signaled. */ /* 5) If the state of the target relative to the solar system */ /* barycenter cannot be computed, the error will be diagnosed */ /* by routines in the call tree of this routine. */ /* 6) If the observer and target are at the same position, */ /* then DLT is set to zero. This situation could arise, */ /* for example, when the observer is Mars and the target */ /* is the Mars barycenter. */ /* $ Files */ /* This routine computes states using SPK files that have been */ /* loaded into the SPICE system, normally via the kernel loading */ /* interface routine FURNSH. Application programs typically load */ /* kernels once before this routine is called, for example during */ /* program initialization; kernels need not be loaded repeatedly. */ /* See the routine FURNSH and the SPK and KERNEL Required Reading */ /* for further information on loading (and unloading) kernels. */ /* If any of the ephemeris data used to compute STARG are expressed */ /* relative to a non-inertial frame in the SPK files providing those */ /* data, additional kernels may be needed to enable the reference */ /* frame transformations required to compute the state. Normally */ /* these additional kernels are PCK files or frame kernels. Any such */ /* kernels must already be loaded at the time this routine is */ /* called. */ /* $ Particulars */ /* This routine supports higher-level SPK API routines that can */ /* perform both light time and stellar aberration corrections. */ /* User applications normally will not need to call this routine */ /* directly. However, this routine can improve run-time efficiency */ /* in situations where many targets are observed from the same */ /* location at the same time. In such cases, the state and */ /* acceleration of the observer relative to the solar system */ /* barycenter need be computed only once per look-up epoch. */ /* When apparent positions, rather than apparent states, are */ /* required, consider using the high-level position-only API */ /* routines */ /* SPKPOS */ /* SPKEZP */ /* or the low-level, position-only analog of this routine */ /* SPKAPO */ /* In general, the position-only routines are more efficient. */ /* See the header of the routine SPKEZR for a detailed discussion */ /* of aberration corrections. */ /* $ Examples */ /* 1) Look up a sequence of states of the Moon as seen from the */ /* Earth. Use light time and stellar aberration corrections. */ /* Compute the first state for the epoch 2000 JAN 1 12:00:00 TDB; */ /* compute subsequent states at intervals of 1 hour. For each */ /* epoch, display the states, the one way light time between */ /* target and observer, and the rate of change of the one way */ /* light time. */ /* Use the following meta-kernel to specify the kernels to */ /* load: */ /* KPL/MK */ /* This meta-kernel is intended to support operation of SPICE */ /* example programs. The kernels shown here should not be */ /* assumed to contain adequate or correct versions of data */ /* required by SPICE-based user applications. */ /* In order for an application to use this meta-kernel, the */ /* kernels referenced here must be present in the user's */ /* current working directory. */ /* \begindata */ /* KERNELS_TO_LOAD = ( 'de418.bsp', */ /* 'pck00008.tpc', */ /* 'naif0008.tls' ) */ /* \begintext */ /* The code example follows: */ /* PROGRAM EX1 */ /* IMPLICIT NONE */ /* C */ /* C Local constants */ /* C */ /* C The meta-kernel name shown here refers to a file whose */ /* C contents are those shown above. This file and the kernels */ /* C it references must exist in your current working directory. */ /* C */ /* CHARACTER*(*) META */ /* PARAMETER ( META = 'example.mk' ) */ /* C */ /* C Use a time step of 1 hour; look up 5 states. */ /* C */ /* DOUBLE PRECISION STEP */ /* PARAMETER ( STEP = 3600.0D0 ) */ /* INTEGER MAXITR */ /* PARAMETER ( MAXITR = 5 ) */ /* C */ /* C Local variables */ /* C */ /* DOUBLE PRECISION ACC ( 3 ) */ /* DOUBLE PRECISION DLT */ /* DOUBLE PRECISION ET */ /* DOUBLE PRECISION ET0 */ /* DOUBLE PRECISION LT */ /* DOUBLE PRECISION STATE ( 6 ) */ /* DOUBLE PRECISION STATE0 ( 6 ) */ /* DOUBLE PRECISION STATE2 ( 6 ) */ /* DOUBLE PRECISION STOBS ( 6 ) */ /* DOUBLE PRECISION TDELTA */ /* INTEGER I */ /* C */ /* C Load the SPK and LSK kernels via the meta-kernel. */ /* C */ /* CALL FURNSH ( META ) */ /* C */ /* C Convert the start time to seconds past J2000 TDB. */ /* C */ /* CALL STR2ET ( '2000 JAN 1 12:00:00 TDB', ET0 ) */ /* C */ /* C Step through a series of epochs, looking up a */ /* C state vector at each one. */ /* C */ /* DO I = 1, MAXITR */ /* ET = ET0 + (I-1)*STEP */ /* C */ /* C Look up a state vector at epoch ET using the */ /* C following inputs: */ /* C */ /* C Target: Moon (NAIF ID code 301) */ /* C Reference frame: J2000 */ /* C Aberration correction: Light time and stellar */ /* C aberration ('LT+S') */ /* C Observer: Earth (NAIF ID code 399) */ /* C */ /* C Before we can execute this computation, we'll need the */ /* C geometric state and accleration of the observer relative */ /* C to the solar system barycenter at ET, expressed */ /* C relative to the J2000 reference frame. First find */ /* C the state: */ /* C */ /* CALL SPKSSB ( 399, ET, 'J2000', STOBS ) */ /* C */ /* C Next compute the acceleration. We numerically */ /* C differentiate the velocity using a quadratic */ /* C approximation: */ /* C */ /* TDELTA = 1.D0 */ /* CALL SPKSSB ( 399, ET-TDELTA, 'J2000', STATE0 ) */ /* CALL SPKSSB ( 399, ET+TDELTA, 'J2000', STATE2 ) */ /* CALL QDERIV ( 3, STATE0(4), STATE2(4), TDELTA, ACC ) */ /* C */ /* C Now compute the desired state vector: */ /* C */ /* CALL SPKAPS ( 301, ET, 'J2000', 'LT+S', */ /* . STOBS, ACC, STATE, LT, DLT ) */ /* WRITE (*,*) 'ET = ', ET */ /* WRITE (*,*) 'J2000 x-position (km): ', STATE(1) */ /* WRITE (*,*) 'J2000 y-position (km): ', STATE(2) */ /* WRITE (*,*) 'J2000 z-position (km): ', STATE(3) */ /* WRITE (*,*) 'J2000 x-velocity (km/s): ', STATE(4) */ /* WRITE (*,*) 'J2000 y-velocity (km/s): ', STATE(5) */ /* WRITE (*,*) 'J2000 z-velocity (km/s): ', STATE(6) */ /* WRITE (*,*) 'One-way light time (s): ', LT */ /* WRITE (*,*) 'Light time rate: ', DLT */ /* WRITE (*,*) ' ' */ /* END DO */ /* END */ /* The output produced by this program will vary somewhat as */ /* a function of the platform on which the program is built and */ /* executed. On a PC/Linux/g77 platform, the following output */ /* was produced: */ /* ET = 0. */ /* J2000 x-position (km): -291584.614 */ /* J2000 y-position (km): -266693.406 */ /* J2000 z-position (km): -76095.6532 */ /* J2000 x-velocity (km/s): 0.643439157 */ /* J2000 y-velocity (km/s): -0.666065874 */ /* J2000 z-velocity (km/s): -0.301310063 */ /* One-way light time (s): 1.34231061 */ /* Light time rate: 1.07316909E-07 */ /* ET = 3600. */ /* J2000 x-position (km): -289256.459 */ /* J2000 y-position (km): -269080.605 */ /* J2000 z-position (km): -77177.3528 */ /* J2000 x-velocity (km/s): 0.64997032 */ /* J2000 y-velocity (km/s): -0.660148253 */ /* J2000 z-velocity (km/s): -0.299630418 */ /* One-way light time (s): 1.34269395 */ /* Light time rate: 1.05652599E-07 */ /* ET = 7200. */ /* J2000 x-position (km): -286904.897 */ /* J2000 y-position (km): -271446.417 */ /* J2000 z-position (km): -78252.9655 */ /* J2000 x-velocity (km/s): 0.656443883 */ /* J2000 y-velocity (km/s): -0.654183552 */ /* J2000 z-velocity (km/s): -0.297928533 */ /* One-way light time (s): 1.34307131 */ /* Light time rate: 1.03990457E-07 */ /* ET = 10800. */ /* J2000 x-position (km): -284530.133 */ /* J2000 y-position (km): -273790.671 */ /* J2000 z-position (km): -79322.4117 */ /* J2000 x-velocity (km/s): 0.662859505 */ /* J2000 y-velocity (km/s): -0.648172247 */ /* J2000 z-velocity (km/s): -0.296204558 */ /* One-way light time (s): 1.34344269 */ /* Light time rate: 1.02330665E-07 */ /* ET = 14400. */ /* J2000 x-position (km): -282132.378 */ /* J2000 y-position (km): -276113.202 */ /* J2000 z-position (km): -80385.612 */ /* J2000 x-velocity (km/s): 0.669216846 */ /* J2000 y-velocity (km/s): -0.642114815 */ /* J2000 z-velocity (km/s): -0.294458645 */ /* One-way light time (s): 1.3438081 */ /* Light time rate: 1.00673404E-07 */ /* $ Restrictions */ /* 1) This routine should not be used to compute geometric states. */ /* Instead, use SPKEZR, SPKEZ, or SPKGEO. SPKGEO, which is called */ /* by SPKEZR and SPKEZ, introduces less round-off error when the */ /* observer and target have a common center that is closer to */ /* both objects than is the solar system barycenter. */ /* 2) The kernel files to be used by SPKAPS must be loaded */ /* (normally by the SPICELIB kernel loader FURNSH) before */ /* this routine is called. */ /* 3) Unlike most other SPK state computation routines, this */ /* routine requires that the output state be relative to an */ /* inertial reference frame. */ /* $ Literature_References */ /* SPK Required Reading. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Version */ /* - SPICELIB Version 1.0.0, 11-JAN-2008 (NJB) */ /* -& */ /* $ Index_Entries */ /* low-level aberration-corrected state computation */ /* low-level light time and stellar aberration correction */ /* -& */ /* $ Revisions */ /* None. */ /* -& */ /* SPICELIB functions */ /* Local parameters */ /* Local variables */ /* Saved variables */ /* Initial values */ /* Standard SPICE error handling. */ if (return_()) { return 0; } else { chkin_("ZZSPKAS1", (ftnlen)8); } if (first || s_cmp(abcorr, prvcor, abcorr_len, (ftnlen)5) != 0) { /* The aberration correction flag differs from the value it */ /* had on the previous call, if any. Analyze the new flag. */ zzprscor_(abcorr, attblk, abcorr_len); if (failed_()) { chkout_("ZZSPKAS1", (ftnlen)8); return 0; } /* The aberration correction flag is recognized; save it. */ s_copy(prvcor, abcorr, (ftnlen)5, abcorr_len); /* Set logical flags indicating the attributes of the requested */ /* correction: */ /* XMIT is .TRUE. when the correction is for transmitted */ /* radiation. */ /* USELT is .TRUE. when any type of light time correction */ /* (normal or converged Newtonian) is specified. */ /* USECN indicates converged Newtonian light time correction. */ /* The above definitions are consistent with those used by */ /* ZZPRSCOR. */ xmit = attblk[4]; uselt = attblk[1]; usestl = attblk[2]; if (usestl && ! uselt) { setmsg_("Aberration correction flag # calls for stellar aberrati" "on but not light time corrections. This combination is n" "ot expected.", (ftnlen)123); errch_("#", abcorr, (ftnlen)1, abcorr_len); sigerr_("SPICE(NOTSUPPORTED)", (ftnlen)19); chkout_("ZZSPKAS1", (ftnlen)8); return 0; } else if (attblk[5]) { setmsg_("Aberration correction flag # calls for relativistic lig" "ht time correction.", (ftnlen)74); errch_("#", abcorr, (ftnlen)1, abcorr_len); sigerr_("SPICE(NOTSUPPORTED)", (ftnlen)19); chkout_("ZZSPKAS1", (ftnlen)8); return 0; } first = FALSE_; } /* See if the reference frame is a recognized inertial frame. */ irfnum_(ref, &refid, ref_len); if (refid == 0) { setmsg_("The requested frame '#' is not a recognized inertial frame. " , (ftnlen)60); errch_("#", ref, (ftnlen)1, ref_len); sigerr_("SPICE(BADFRAME)", (ftnlen)15); chkout_("ZZSPKAS1", (ftnlen)8); return 0; } /* Get the state of the target relative to the observer, */ /* optionally corrected for light time. */ zzspklt1_(targ, et, ref, abcorr, stobs, starg, lt, dlt, ref_len, abcorr_len); /* If stellar aberration corrections are not needed, we're */ /* already done. */ if (! usestl) { chkout_("ZZSPKAS1", (ftnlen)8); return 0; } /* Get the stellar aberration correction and its time derivative. */ zzstelab_(&xmit, accobs, &stobs[3], starg, pcorr, dpcorr); /* Adding the stellar aberration correction to the light */ /* time-corrected target position yields the position corrected for */ /* both light time and stellar aberration. */ vadd_(pcorr, starg, corpos); vequ_(corpos, starg); /* Velocity is treated in an analogous manner. */ vadd_(dpcorr, &starg[3], corvel); vequ_(corvel, &starg[3]); chkout_("ZZSPKAS1", (ftnlen)8); return 0; } /* zzspkas1_ */
/* $Procedure SPKGPS ( S/P Kernel, geometric position ) */ /* Subroutine */ int spkgps_(integer *targ, doublereal *et, char *ref, integer *obs, doublereal *pos, doublereal *lt, ftnlen ref_len) { /* Initialized data */ static logical first = TRUE_; /* System generated locals */ integer i__1, i__2, i__3; /* Builtin functions */ integer s_cmp(char *, char *, ftnlen, ftnlen), s_rnge(char *, integer, char *, integer); /* Local variables */ extern /* Subroutine */ int vadd_(doublereal *, doublereal *, doublereal * ); integer cobs, legs; doublereal sobs[6]; extern /* Subroutine */ int vsub_(doublereal *, doublereal *, doublereal * ), vequ_(doublereal *, doublereal *), zznamfrm_(integer *, char *, integer *, char *, integer *, ftnlen, ftnlen), zzctruin_(integer *); integer i__; extern /* Subroutine */ int etcal_(doublereal *, char *, ftnlen); integer refid; extern /* Subroutine */ int chkin_(char *, ftnlen); char oname[40]; doublereal descr[5]; integer ctarg[20]; char ident[40], tname[40]; extern /* Subroutine */ int errch_(char *, char *, ftnlen, ftnlen), moved_(doublereal *, integer *, doublereal *); logical found; extern /* Subroutine */ int repmi_(char *, char *, integer *, char *, ftnlen, ftnlen, ftnlen); doublereal starg[120] /* was [6][20] */; logical nofrm; static char svref[32]; doublereal stemp[6]; integer ctpos; doublereal vtemp[6]; extern doublereal vnorm_(doublereal *); extern /* Subroutine */ int bodc2n_(integer *, char *, logical *, ftnlen); static integer svctr1[2]; extern logical failed_(void); extern /* Subroutine */ int cleard_(integer *, doublereal *); integer handle, cframe; extern /* Subroutine */ int refchg_(integer *, integer *, doublereal *, doublereal *); extern doublereal clight_(void); integer tframe[20]; extern integer isrchi_(integer *, integer *, integer *); extern /* Subroutine */ int sigerr_(char *, ftnlen), chkout_(char *, ftnlen); static integer svrefi; extern /* Subroutine */ int irfnum_(char *, integer *, ftnlen), prefix_( char *, integer *, char *, ftnlen, ftnlen), setmsg_(char *, ftnlen), suffix_(char *, integer *, char *, ftnlen, ftnlen); integer tmpfrm; extern /* Subroutine */ int irfrot_(integer *, integer *, doublereal *), spksfs_(integer *, doublereal *, integer *, doublereal *, char *, logical *, ftnlen); extern integer frstnp_(char *, ftnlen); extern logical return_(void); doublereal psxfrm[9] /* was [3][3] */; extern /* Subroutine */ int spkpvn_(integer *, doublereal *, doublereal *, integer *, doublereal *, integer *), intstr_(integer *, char *, ftnlen); integer nct; doublereal rot[9] /* was [3][3] */; extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *) ; char tstring[80]; /* $ Abstract */ /* Compute the geometric position of a target body relative to an */ /* observing body. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* EPHEMERIS */ /* $ Declarations */ /* $ Abstract */ /* This file contains the number of inertial reference */ /* frames that are currently known by the SPICE toolkit */ /* software. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* None. */ /* $ Keywords */ /* FRAMES */ /* $ Declarations */ /* $ Brief_I/O */ /* VARIABLE I/O DESCRIPTION */ /* -------- --- -------------------------------------------------- */ /* NINERT P Number of known inertial reference frames. */ /* $ Parameters */ /* NINERT is the number of recognized inertial reference */ /* frames. This value is needed by both CHGIRF */ /* ZZFDAT, and FRAMEX. */ /* $ Author_and_Institution */ /* W.L. Taber (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.0, 10-OCT-1996 (WLT) */ /* -& */ /* $ Abstract */ /* This include file defines the dimension of the counter */ /* array used by various SPICE subsystems to uniquely identify */ /* changes in their states. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Parameters */ /* CTRSIZ is the dimension of the counter array used by */ /* various SPICE subsystems to uniquely identify */ /* changes in their states. */ /* $ Author_and_Institution */ /* B.V. Semenov (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.0, 29-JUL-2013 (BVS) */ /* -& */ /* End of include file. */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* TARG I Target body. */ /* ET I Target epoch. */ /* REF I Target reference frame. */ /* OBS I Observing body. */ /* POS O Position of target. */ /* LT O Light time. */ /* $ Detailed_Input */ /* TARG is the standard NAIF ID code for a target body. */ /* ET is the epoch (ephemeris time) at which the position */ /* of the target body is to be computed. */ /* REF is the name of the reference frame to */ /* which the vectors returned by the routine should */ /* be rotated. This may be any frame supported by */ /* the SPICELIB subroutine REFCHG. */ /* OBS is the standard NAIF ID code for an observing body. */ /* $ Detailed_Output */ /* POS contains the position of the target */ /* body, relative to the observing body. This vector is */ /* rotated into the specified reference frame. Units */ /* are always km. */ /* LT is the one-way light time from the observing body */ /* to the geometric position of the target body at the */ /* specified epoch. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If insufficient ephemeris data has been loaded to compute */ /* the necessary positions, the error SPICE(SPKINSUFFDATA) is */ /* signalled. */ /* $ Files */ /* See: $Restrictions. */ /* $ Particulars */ /* SPKGPS computes the geometric position, T(t), of the target */ /* body and the geometric position, O(t), of the observing body */ /* relative to the first common center of motion. Subtracting */ /* O(t) from T(t) gives the geometric position of the target */ /* body relative to the observer. */ /* CENTER ----- O(t) */ /* | / */ /* | / */ /* | / */ /* | / T(t) - O(t) */ /* | / */ /* T(t) */ /* The one-way light time, tau, is given by */ /* | T(t) - O(t) | */ /* tau = ----------------- */ /* c */ /* For example, if the observing body is -94, the Mars Observer */ /* spacecraft, and the target body is 401, Phobos, then the */ /* first common center is probably 4, the Mars Barycenter. */ /* O(t) is the position of -94 relative to 4 and T(t) is the */ /* position of 401 relative to 4. */ /* The center could also be the Solar System Barycenter, body 0. */ /* For example, if the observer is 399, Earth, and the target */ /* is 299, Venus, then O(t) would be the position of 399 relative */ /* to 0 and T(t) would be the position of 299 relative to 0. */ /* Ephemeris data from more than one segment may be required */ /* to determine the positions of the target body and observer */ /* relative to a common center. SPKGPS reads as many segments */ /* as necessary, from as many files as necessary, using files */ /* that have been loaded by previous calls to SPKLEF (load */ /* ephemeris file). */ /* SPKGPS is similar to SPKGEO but returns geometric positions */ /* only. */ /* $ Examples */ /* The following code example computes the geometric */ /* position of the moon with respect to the earth and */ /* then prints the distance of the moon from the */ /* the earth at a number of epochs. */ /* Assume the SPK file SAMPLE.BSP contains ephemeris data */ /* for the moon relative to earth over the time interval */ /* from BEGIN to END. */ /* INTEGER EARTH */ /* PARAMETER ( EARTH = 399 ) */ /* INTEGER MOON */ /* PARAMETER ( MOON = 301 ) */ /* INTEGER N */ /* PARAMETER ( N = 100 ) */ /* INTEGER I */ /* CHARACTER*(20) UTC */ /* DOUBLE PRECISION BEGIN */ /* DOUBLE PRECISION DELTA */ /* DOUBLE PRECISION END */ /* DOUBLE PRECISION ET */ /* DOUBLE PRECISION POS ( 3 ) */ /* DOUBLE PRECISION LT */ /* DOUBLE PRECISION VNORM */ /* C */ /* C Load the binary SPK ephemeris file. */ /* C */ /* CALL FURNSH ( 'SAMPLE.BSP' ) */ /* . */ /* . */ /* . */ /* C */ /* C Divide the interval of coverage [BEGIN,END] into */ /* C N steps. At each step, compute the position, and */ /* C print out the epoch in UTC time and position norm. */ /* C */ /* DELTA = ( END - BEGIN ) / N */ /* DO I = 0, N */ /* ET = BEGIN + I*DELTA */ /* CALL SPKGPS ( MOON, ET, 'J2000', EARTH, POS, LT ) */ /* CALL ET2UTC ( ET, 'C', 0, UTC ) */ /* WRITE (*,*) UTC, VNORM ( POS ) */ /* END DO */ /* $ Restrictions */ /* 1) The ephemeris files to be used by SPKGPS must be loaded */ /* by SPKLEF before SPKGPS is called. */ /* $ Literature_References */ /* None. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* B.V. Semenov (JPL) */ /* W.L. Taber (JPL) */ /* $ Version */ /* - SPICELIB Version 2.0.0, 08-JAN-2014 (BVS) */ /* Updated to save the input frame name and POOL state counter */ /* and to do frame name-ID conversion only if the counter has */ /* changed. */ /* Updated to map the input frame name to its ID by first calling */ /* ZZNAMFRM, and then calling IRFNUM. The side effect of this */ /* change is that now the frame with the fixed name 'DEFAULT' */ /* that can be associated with any code via CHGIRF's entry point */ /* IRFDEF will be fully masked by a frame with indentical name */ /* defined via a text kernel. Previously the CHGIRF's 'DEFAULT' */ /* frame masked the text kernel frame with the same name. */ /* Replaced SPKLEF with FURNSH and fixed errors in Examples. */ /* - SPICELIB Version 1.2.0, 05-NOV-2005 (NJB) */ /* Updated to remove non-standard use of duplicate arguments */ /* in VADD calls. */ /* - SPICELIB Version 1.1.0, 05-JAN-2005 (NJB) */ /* Tests of routine FAILED() were added. */ /* - SPICELIB Version 1.0.0, 9-JUL-1998 (WLT) */ /* -& */ /* $ Index_Entries */ /* geometric position of one body relative to another */ /* -& */ /* $ Revisions */ /* - SPICELIB Version 1.2.0, 05-NOV-2005 (NJB) */ /* Updated to remove non-standard use of duplicate arguments */ /* in VADD calls. */ /* -& */ /* This is the idea: */ /* Every body moves with respect to some center. The center */ /* is itself a body, which in turn moves about some other */ /* center. If we begin at the target body (T), follow */ /* the chain, */ /* T */ /* \ */ /* SSB \ */ /* \ C[1] */ /* \ / */ /* \ / */ /* \ / */ /* \ / */ /* C[3]-----------C[2] */ /* and avoid circular definitions (A moves about B, and B moves */ /* about A), eventually we get the position relative to the solar */ /* system barycenter (which, for our purposes, doesn't move). */ /* Thus, */ /* T = T + C[1] + C[2] + ... + C[n] */ /* SSB C[1] C[2] [C3] SSB */ /* where */ /* X */ /* Y */ /* is the position of body X relative to body Y. */ /* However, we don't want to follow each chain back to the SSB */ /* if it isn't necessary. Instead we will just follow the chain */ /* of the target body and follow the chain of the observing body */ /* until we find a common node in the tree. */ /* In the example below, C is the first common node. We compute */ /* the position of TARG relative to C and the position of OBS */ /* relative to C, then subtract the two positions. */ /* TARG */ /* \ */ /* SSB \ */ /* \ A */ /* \ / OBS */ /* \ / | */ /* \ / | */ /* \ / | */ /* B-------------C-----------------D */ /* SPICELIB functions */ /* Local parameters */ /* CHLEN is the maximum length of a chain. That is, */ /* it is the maximum number of bodies in the chain from */ /* the target or observer to the SSB. */ /* Saved frame name length. */ /* Local variables */ /* Saved frame name/ID item declarations. */ /* Saved frame name/ID items. */ /* Initial values. */ /* In-line Function Definitions */ /* Standard SPICE error handling. */ if (return_()) { return 0; } else { chkin_("SPKGPS", (ftnlen)6); } /* Initialization. */ if (first) { /* Initialize counter. */ zzctruin_(svctr1); first = FALSE_; } /* We take care of the obvious case first. It TARG and OBS are the */ /* same we can just fill in zero. */ if (*targ == *obs) { *lt = 0.; cleard_(&c__3, pos); chkout_("SPKGPS", (ftnlen)6); return 0; } /* CTARG contains the integer codes of the bodies in the */ /* target body chain, beginning with TARG itself and then */ /* the successive centers of motion. */ /* STARG(1,I) is the position of the target body relative */ /* to CTARG(I). The id-code of the frame of this position is */ /* stored in TFRAME(I). */ /* COBS and SOBS will contain the centers and positions of the */ /* observing body. (They are single elements instead of arrays */ /* because we only need the current center and position of the */ /* observer relative to it.) */ /* First, we construct CTARG and STARG. CTARG(1) is */ /* just the target itself, and STARG(1,1) is just a zero */ /* vector, that is, the position of the target relative */ /* to itself. */ /* Then we follow the chain, filling up CTARG and STARG */ /* as we go. We use SPKSFS to search through loaded */ /* files to find the first segment applicable to CTARG(1) */ /* and time ET. Then we use SPKPVN to compute the position */ /* of the body CTARG(1) at ET in the segment that was found */ /* and get its center and frame of motion (CTARG(2) and TFRAME(2). */ /* We repeat the process for CTARG(2) and so on, until */ /* there is no data found for some CTARG(I) or until we */ /* reach the SSB. */ /* Next, we find centers and positions in a similar manner */ /* for the observer. It's a similar construction as */ /* described above, but I is always 1. COBS and SOBS */ /* are overwritten with each new center and position, */ /* beginning at OBS. However, we stop when we encounter */ /* a common center of motion, that is when COBS is equal */ /* to CTARG(I) for some I. */ /* Finally, we compute the desired position of the target */ /* relative to the observer by subtracting the position of */ /* the observing body relative to the common node from */ /* the position of the target body relative to the common */ /* node. */ /* CTPOS is the position in CTARG of the common node. */ /* Since the upgrade to use hashes and counter bypass ZZNAMFRM */ /* became more efficient in looking up frame IDs than IRFNUM. So the */ /* original order of calls "IRFNUM first, NAMFRM second" was */ /* switched to "ZZNAMFRM first, IRFNUM second". */ /* The call to IRFNUM, now redundant for built-in inertial frames, */ /* was preserved to for a sole reason -- to still support the */ /* ancient and barely documented ability for the users to associate */ /* a frame with the fixed name 'DEFAULT' with any CHGIRF inertial */ /* frame code via CHGIRF's entry point IRFDEF. */ /* Note that in the case of ZZNAMFRM's failure to resolve name and */ /* IRFNUM's success to do so, the code returned by IRFNUM for */ /* 'DEFAULT' frame is *not* copied to the saved code SVREFI (which */ /* would be set to 0 by ZZNAMFRM) to make sure that on subsequent */ /* calls ZZNAMFRM does not do a bypass (as SVREFI always forced look */ /* up) and calls IRFNUM again to reset the 'DEFAULT's frame ID */ /* should it change between the calls. */ zznamfrm_(svctr1, svref, &svrefi, ref, &refid, (ftnlen)32, ref_len); if (refid == 0) { irfnum_(ref, &refid, ref_len); } if (refid == 0) { if (frstnp_(ref, ref_len) > 0) { setmsg_("The string supplied to specify the reference frame, ('#" "') contains non-printing characters. The two most commo" "n causes for this kind of error are: 1. an error in the " "call to SPKGPS; 2. an uninitialized variable. ", (ftnlen) 213); errch_("#", ref, (ftnlen)1, ref_len); } else if (s_cmp(ref, " ", ref_len, (ftnlen)1) == 0) { setmsg_("The string supplied to specify the reference frame is b" "lank. The most common cause for this kind of error is a" "n uninitialized variable. ", (ftnlen)137); } else { setmsg_("The string supplied to specify the reference frame was " "'#'. This frame is not recognized. Possible causes for " "this error are: 1. failure to load the frame definition " "into the kernel pool; 2. An out-of-date edition of the t" "oolkit. ", (ftnlen)231); errch_("#", ref, (ftnlen)1, ref_len); } sigerr_("SPICE(UNKNOWNFRAME)", (ftnlen)19); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } } /* Fill in CTARG and STARG until no more data is found */ /* or until we reach the SSB. If the chain gets too */ /* long to fit in CTARG, that is if I equals CHLEN, */ /* then overwrite the last elements of CTARG and STARG. */ /* Note the check for FAILED in the loop. If SPKSFS */ /* or SPKPVN happens to fail during execution, and the */ /* current error handling action is to NOT abort, then */ /* FOUND may be stuck at TRUE, CTARG(I) will never */ /* become zero, and the loop will execute indefinitely. */ /* Construct CTARG and STARG. Begin by assigning the */ /* first elements: TARG and the position of TARG relative */ /* to itself. */ i__ = 1; ctarg[(i__1 = i__ - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("ctarg", i__1, "spkgps_", (ftnlen)603)] = *targ; found = TRUE_; cleard_(&c__6, &starg[(i__1 = i__ * 6 - 6) < 120 && 0 <= i__1 ? i__1 : s_rnge("starg", i__1, "spkgps_", (ftnlen)606)]); while(found && i__ < 20 && ctarg[(i__1 = i__ - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("ctarg", i__1, "spkgps_", (ftnlen)608)] != *obs && ctarg[(i__2 = i__ - 1) < 20 && 0 <= i__2 ? i__2 : s_rnge("ctarg", i__2, "spkgps_", (ftnlen)608)] != 0) { /* Find a file and segment that has position */ /* data for CTARG(I). */ spksfs_(&ctarg[(i__1 = i__ - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge( "ctarg", i__1, "spkgps_", (ftnlen)617)], et, &handle, descr, ident, &found, (ftnlen)40); if (found) { /* Get the position of CTARG(I) relative to some */ /* center of motion. This new center goes in */ /* CTARG(I+1) and the position is called STEMP. */ ++i__; spkpvn_(&handle, descr, et, &tframe[(i__1 = i__ - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("tframe", i__1, "spkgps_", (ftnlen) 627)], &starg[(i__2 = i__ * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen)627)], & ctarg[(i__3 = i__ - 1) < 20 && 0 <= i__3 ? i__3 : s_rnge( "ctarg", i__3, "spkgps_", (ftnlen)627)]); /* Here's what we have. STARG is the position of CTARG(I-1) */ /* relative to CTARG(I) in reference frame TFRAME(I) */ /* If one of the routines above failed during */ /* execution, we just give up and check out. */ if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } } } tframe[0] = tframe[1]; /* If the loop above ended because we ran out of */ /* room in the arrays CTARG and STARG, then we */ /* continue finding positions but we overwrite the */ /* last elements of CTARG and STARG. */ /* If, as a result, the first common node is */ /* overwritten, we'll just have to settle for */ /* the last common node. This will cause a small */ /* loss of precision, but it's better than other */ /* alternatives. */ if (i__ == 20) { while(found && ctarg[19] != 0 && ctarg[19] != *obs) { /* Find a file and segment that has position */ /* data for CTARG(CHLEN). */ spksfs_(&ctarg[19], et, &handle, descr, ident, &found, (ftnlen)40) ; if (found) { /* Get the position of CTARG(CHLEN) relative to */ /* some center of motion. The new center */ /* overwrites the old. The position is called */ /* STEMP. */ spkpvn_(&handle, descr, et, &tmpfrm, stemp, &ctarg[19]); /* Add STEMP to the position of TARG relative to */ /* the old center to get the position of TARG */ /* relative to the new center. Overwrite */ /* the last element of STARG. */ if (tframe[19] == tmpfrm) { moved_(&starg[114], &c__3, vtemp); } else if (tmpfrm > 0 && tmpfrm <= 21 && tframe[19] > 0 && tframe[19] <= 21) { irfrot_(&tframe[19], &tmpfrm, rot); mxv_(rot, &starg[114], vtemp); } else { refchg_(&tframe[19], &tmpfrm, et, psxfrm); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } mxv_(psxfrm, &starg[114], vtemp); } vadd_(vtemp, stemp, &starg[114]); tframe[19] = tmpfrm; /* If one of the routines above failed during */ /* execution, we just give up and check out. */ if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } } } } nct = i__; /* NCT is the number of elements in CTARG, */ /* the chain length. We have in hand the following information */ /* STARG(1...3,K) position of body */ /* CTARG(K-1) relative to body CTARG(K) in the frame */ /* TFRAME(K) */ /* For K = 2,..., NCT. */ /* CTARG(1) = TARG */ /* STARG(1...3,1) = ( 0, 0, 0 ) */ /* TFRAME(1) = TFRAME(2) */ /* Now follow the observer's chain. Assign */ /* the first values for COBS and SOBS. */ cobs = *obs; cleard_(&c__6, sobs); /* Perhaps we have a common node already. */ /* If so it will be the last node on the */ /* list CTARG. */ /* We let CTPOS will be the position of the common */ /* node in CTARG if one is found. It will */ /* be zero if COBS is not found in CTARG. */ if (ctarg[(i__1 = nct - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("ctarg", i__1, "spkgps_", (ftnlen)762)] == cobs) { ctpos = nct; cframe = tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge( "tframe", i__1, "spkgps_", (ftnlen)764)]; } else { ctpos = 0; } /* Repeat the same loop as above, but each time */ /* we encounter a new center of motion, check to */ /* see if it is a common node. (When CTPOS is */ /* not zero, CTARG(CTPOS) is the first common node.) */ /* Note that we don't need a centers array nor a */ /* positions array, just a single center and position */ /* is sufficient --- we just keep overwriting them. */ /* When the common node is found, we have everything */ /* we need in that one center (COBS) and position */ /* (SOBS-position of the target relative to COBS). */ found = TRUE_; nofrm = TRUE_; legs = 0; while(found && cobs != 0 && ctpos == 0) { /* Find a file and segment that has position */ /* data for COBS. */ spksfs_(&cobs, et, &handle, descr, ident, &found, (ftnlen)40); if (found) { /* Get the position of COBS; call it STEMP. */ /* The center of motion of COBS becomes the */ /* new COBS. */ if (legs == 0) { spkpvn_(&handle, descr, et, &tmpfrm, sobs, &cobs); } else { spkpvn_(&handle, descr, et, &tmpfrm, stemp, &cobs); } if (nofrm) { nofrm = FALSE_; cframe = tmpfrm; } /* Add STEMP to the position of OBS relative to */ /* the old COBS to get the position of OBS */ /* relative to the new COBS. */ if (cframe == tmpfrm) { /* On the first leg of the position of the observer, we */ /* don't have to add anything, the position of the */ /* observer is already in SOBS. We only have to add when */ /* the number of legs in the observer position is one or */ /* greater. */ if (legs > 0) { vadd_(sobs, stemp, vtemp); vequ_(vtemp, sobs); } } else if (tmpfrm > 0 && tmpfrm <= 21 && cframe > 0 && cframe <= 21) { irfrot_(&cframe, &tmpfrm, rot); mxv_(rot, sobs, vtemp); vadd_(vtemp, stemp, sobs); cframe = tmpfrm; } else { refchg_(&cframe, &tmpfrm, et, psxfrm); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } mxv_(psxfrm, sobs, vtemp); vadd_(vtemp, stemp, sobs); cframe = tmpfrm; } /* Check failed. We don't want to loop */ /* indefinitely. */ if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } /* We now have one more leg of the path for OBS. Set */ /* LEGS to reflect this. Then see if the new center */ /* is a common node. If not, repeat the loop. */ ++legs; ctpos = isrchi_(&cobs, &nct, ctarg); } } /* If CTPOS is zero at this point, it means we */ /* have not found a common node though we have */ /* searched through all the available data. */ if (ctpos == 0) { bodc2n_(targ, tname, &found, (ftnlen)40); if (found) { prefix_("# (", &c__0, tname, (ftnlen)3, (ftnlen)40); suffix_(")", &c__0, tname, (ftnlen)1, (ftnlen)40); repmi_(tname, "#", targ, tname, (ftnlen)40, (ftnlen)1, (ftnlen)40) ; } else { intstr_(targ, tname, (ftnlen)40); } bodc2n_(obs, oname, &found, (ftnlen)40); if (found) { prefix_("# (", &c__0, oname, (ftnlen)3, (ftnlen)40); suffix_(")", &c__0, oname, (ftnlen)1, (ftnlen)40); repmi_(oname, "#", obs, oname, (ftnlen)40, (ftnlen)1, (ftnlen)40); } else { intstr_(obs, oname, (ftnlen)40); } setmsg_("Insufficient ephemeris data has been loaded to compute the " "position of TARG relative to OBS at the ephemeris epoch #. ", (ftnlen)118); etcal_(et, tstring, (ftnlen)80); errch_("TARG", tname, (ftnlen)4, (ftnlen)40); errch_("OBS", oname, (ftnlen)3, (ftnlen)40); errch_("#", tstring, (ftnlen)1, (ftnlen)80); sigerr_("SPICE(SPKINSUFFDATA)", (ftnlen)20); chkout_("SPKGPS", (ftnlen)6); return 0; } /* If CTPOS is not zero, then we have reached a */ /* common node, specifically, */ /* CTARG(CTPOS) = COBS = CENTER */ /* (in diagram below). The POSITION of the target */ /* (TARG) relative to the observer (OBS) is just */ /* STARG(1,CTPOS) - SOBS. */ /* SOBS */ /* CENTER ---------------->OBS */ /* | . */ /* | . N */ /* S | . O */ /* T | . I */ /* A | . T */ /* R | . I */ /* G | . S */ /* | . O */ /* | . P */ /* V L */ /* TARG */ /* And the light-time between them is just */ /* | POSITION | */ /* LT = --------- */ /* c */ /* Compute the position of the target relative to CTARG(CTPOS) */ if (ctpos == 1) { tframe[0] = cframe; } i__1 = ctpos - 1; for (i__ = 2; i__ <= i__1; ++i__) { if (tframe[(i__2 = i__ - 1) < 20 && 0 <= i__2 ? i__2 : s_rnge("tframe" , i__2, "spkgps_", (ftnlen)960)] == tframe[(i__3 = i__) < 20 && 0 <= i__3 ? i__3 : s_rnge("tframe", i__3, "spkgps_", ( ftnlen)960)]) { vadd_(&starg[(i__2 = i__ * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen)962)], &starg[( i__3 = (i__ + 1) * 6 - 6) < 120 && 0 <= i__3 ? i__3 : s_rnge("starg", i__3, "spkgps_", (ftnlen)962)], stemp); moved_(stemp, &c__3, &starg[(i__2 = (i__ + 1) * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen) 963)]); } else if (tframe[(i__3 = i__) < 20 && 0 <= i__3 ? i__3 : s_rnge( "tframe", i__3, "spkgps_", (ftnlen)965)] > 0 && tframe[(i__3 = i__) < 20 && 0 <= i__3 ? i__3 : s_rnge("tframe", i__3, "spk" "gps_", (ftnlen)965)] <= 21 && tframe[(i__2 = i__ - 1) < 20 && 0 <= i__2 ? i__2 : s_rnge("tframe", i__2, "spkgps_", (ftnlen) 965)] > 0 && tframe[(i__2 = i__ - 1) < 20 && 0 <= i__2 ? i__2 : s_rnge("tframe", i__2, "spkgps_", (ftnlen)965)] <= 21) { irfrot_(&tframe[(i__2 = i__ - 1) < 20 && 0 <= i__2 ? i__2 : s_rnge("tframe", i__2, "spkgps_", (ftnlen)967)], &tframe[( i__3 = i__) < 20 && 0 <= i__3 ? i__3 : s_rnge("tframe", i__3, "spkgps_", (ftnlen)967)], rot); mxv_(rot, &starg[(i__2 = i__ * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen)968)], stemp); vadd_(stemp, &starg[(i__2 = (i__ + 1) * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen)969)], vtemp); moved_(vtemp, &c__3, &starg[(i__2 = (i__ + 1) * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen) 970)]); } else { refchg_(&tframe[(i__2 = i__ - 1) < 20 && 0 <= i__2 ? i__2 : s_rnge("tframe", i__2, "spkgps_", (ftnlen)974)], &tframe[( i__3 = i__) < 20 && 0 <= i__3 ? i__3 : s_rnge("tframe", i__3, "spkgps_", (ftnlen)974)], et, psxfrm); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } mxv_(psxfrm, &starg[(i__2 = i__ * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen)981)], stemp); vadd_(stemp, &starg[(i__2 = (i__ + 1) * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen)982)], vtemp); moved_(vtemp, &c__3, &starg[(i__2 = (i__ + 1) * 6 - 6) < 120 && 0 <= i__2 ? i__2 : s_rnge("starg", i__2, "spkgps_", (ftnlen) 983)]); } } /* To avoid unnecessary frame transformations we'll do */ /* a bit of extra decision making here. It's a lot */ /* faster to make logical checks than it is to compute */ /* frame transformations. */ if (tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("tframe", i__1, "spkgps_", (ftnlen)996)] == cframe) { vsub_(&starg[(i__1 = ctpos * 6 - 6) < 120 && 0 <= i__1 ? i__1 : s_rnge("starg", i__1, "spkgps_", (ftnlen)998)], sobs, pos); } else if (tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge( "tframe", i__1, "spkgps_", (ftnlen)1000)] == refid) { /* If the last frame associated with the target is already */ /* in the requested output frame, we convert the position of */ /* the observer to that frame and then subtract the position */ /* of the observer from the position of the target. */ if (refid > 0 && refid <= 21 && cframe > 0 && cframe <= 21) { irfrot_(&cframe, &refid, rot); mxv_(rot, sobs, stemp); } else { refchg_(&cframe, &refid, et, psxfrm); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } mxv_(psxfrm, sobs, stemp); } /* We've now transformed SOBS into the requested reference frame. */ /* Set CFRAME to reflect this. */ cframe = refid; vsub_(&starg[(i__1 = ctpos * 6 - 6) < 120 && 0 <= i__1 ? i__1 : s_rnge("starg", i__1, "spkgps_", (ftnlen)1031)], stemp, pos); } else if (cframe > 0 && cframe <= 21 && tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("tframe", i__1, "spkgps_", (ftnlen) 1034)] > 0 && tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge("tframe", i__1, "spkgps_", (ftnlen)1034)] <= 21) { /* If both frames are inertial we use IRFROT instead of */ /* REFCHG to get things into a common frame. */ irfrot_(&tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge( "tframe", i__1, "spkgps_", (ftnlen)1040)], &cframe, rot); mxv_(rot, &starg[(i__1 = ctpos * 6 - 6) < 120 && 0 <= i__1 ? i__1 : s_rnge("starg", i__1, "spkgps_", (ftnlen)1041)], stemp); vsub_(stemp, sobs, pos); } else { /* Use the more general routine REFCHG to make the transformation. */ refchg_(&tframe[(i__1 = ctpos - 1) < 20 && 0 <= i__1 ? i__1 : s_rnge( "tframe", i__1, "spkgps_", (ftnlen)1048)], &cframe, et, psxfrm); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } mxv_(psxfrm, &starg[(i__1 = ctpos * 6 - 6) < 120 && 0 <= i__1 ? i__1 : s_rnge("starg", i__1, "spkgps_", (ftnlen)1055)], stemp); vsub_(stemp, sobs, pos); } /* Finally, rotate as needed into the requested frame. */ if (cframe == refid) { /* We don't have to do anything in this case. */ } else if (refid > 0 && refid <= 21 && cframe > 0 && cframe <= 21) { /* Since both frames are inertial, we use the more direct */ /* routine IRFROT to get the transformation to REFID. */ irfrot_(&cframe, &refid, rot); mxv_(rot, pos, stemp); moved_(stemp, &c__3, pos); } else { refchg_(&cframe, &refid, et, psxfrm); if (failed_()) { chkout_("SPKGPS", (ftnlen)6); return 0; } mxv_(psxfrm, pos, stemp); moved_(stemp, &c__3, pos); } *lt = vnorm_(pos) / clight_(); chkout_("SPKGPS", (ftnlen)6); return 0; } /* spkgps_ */
/* $Procedure ZZSPKFLT ( SPK function, light time and rate ) */ /* Subroutine */ int zzspkflt_(S_fp trgsub, doublereal *et, char *ref, char * abcorr, doublereal *stobs, doublereal *starg, doublereal *lt, doublereal *dlt, ftnlen ref_len, ftnlen abcorr_len) { /* Initialized data */ static logical pass1 = TRUE_; static char prvcor[5] = " "; /* System generated locals */ doublereal d__1, d__2, d__3, d__4; /* Builtin functions */ integer s_cmp(char *, char *, ftnlen, ftnlen); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ doublereal dist; extern doublereal vdot_(doublereal *, doublereal *); static logical xmit; extern /* Subroutine */ int zzvalcor_(char *, logical *, ftnlen); doublereal a, b, c__; integer i__; extern /* Subroutine */ int vaddg_(doublereal *, doublereal *, integer *, doublereal *); integer refid; extern /* Subroutine */ int chkin_(char *, ftnlen); doublereal epoch; extern /* Subroutine */ int errch_(char *, char *, ftnlen, ftnlen); static logical usecn; extern /* Subroutine */ int vlcom_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *), vsubg_(doublereal *, doublereal *, integer *, doublereal *); doublereal lterr; static logical uselt; extern doublereal vnorm_(doublereal *); doublereal prvlt; extern logical failed_(void); extern doublereal clight_(void); logical attblk[15]; extern doublereal touchd_(doublereal *); extern /* Subroutine */ int sigerr_(char *, ftnlen), chkout_(char *, ftnlen); doublereal ctrssb[6]; integer ltsign; extern /* Subroutine */ int irfnum_(char *, integer *, ftnlen), setmsg_( char *, ftnlen); doublereal ssbtrg[6]; integer trgctr; extern /* Subroutine */ int spkssb_(integer *, doublereal *, char *, doublereal *, ftnlen); integer numitr; extern logical return_(void); logical usestl; doublereal sttctr[6]; /* $ Abstract */ /* SPICE Private routine intended solely for the support of SPICE */ /* routines. Users should not call this routine directly due */ /* to the volatile nature of this routine. */ /* Return the state (position and velocity) of a target body */ /* relative to an observer, optionally corrected for light time, */ /* expressed relative to an inertial reference frame. An input */ /* subroutine provides the state of the target relative to its */ /* center of motion. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* EPHEMERIS */ /* $ Declarations */ /* $ Abstract */ /* Include file zzabcorr.inc */ /* SPICE private file intended solely for the support of SPICE */ /* routines. Users should not include this file directly due */ /* to the volatile nature of this file */ /* The parameters below define the structure of an aberration */ /* correction attribute block. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Parameters */ /* An aberration correction attribute block is an array of logical */ /* flags indicating the attributes of the aberration correction */ /* specified by an aberration correction string. The attributes */ /* are: */ /* - Is the correction "geometric"? */ /* - Is light time correction indicated? */ /* - Is stellar aberration correction indicated? */ /* - Is the light time correction of the "converged */ /* Newtonian" variety? */ /* - Is the correction for the transmission case? */ /* - Is the correction relativistic? */ /* The parameters defining the structure of the block are as */ /* follows: */ /* NABCOR Number of aberration correction choices. */ /* ABATSZ Number of elements in the aberration correction */ /* block. */ /* GEOIDX Index in block of geometric correction flag. */ /* LTIDX Index of light time flag. */ /* STLIDX Index of stellar aberration flag. */ /* CNVIDX Index of converged Newtonian flag. */ /* XMTIDX Index of transmission flag. */ /* RELIDX Index of relativistic flag. */ /* The following parameter is not required to define the block */ /* structure, but it is convenient to include it here: */ /* CORLEN The maximum string length required by any aberration */ /* correction string */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.0, 18-DEC-2004 (NJB) */ /* -& */ /* Number of aberration correction choices: */ /* Aberration correction attribute block size */ /* (number of aberration correction attributes): */ /* Indices of attributes within an aberration correction */ /* attribute block: */ /* Maximum length of an aberration correction string: */ /* End of include file zzabcorr.inc */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* TRGSUB I Target body state subroutine. */ /* ET I Observer epoch. */ /* REF I Inertial reference frame of output state. */ /* ABCORR I Aberration correction flag. */ /* STOBS I State of the observer relative to the SSB. */ /* STARG O State of target. */ /* LT O One way light time between observer and target. */ /* DLT O Derivative of light time with respect to time. */ /* $ Detailed_Input */ /* TRGSUB is the name of an external subroutine that returns */ /* the geometric state of the target body relative to a */ /* center of motion, expressed in the inertial reference */ /* frame REF, at the epoch ET. */ /* The calling sequence of TRGSUB is */ /* SUBROUTINE TRGSUB ( ET, REF, TRGCTR, STATE ) */ /* DOUBLE PRECISION ET */ /* CHARACTER*(*) REF */ /* INTEGER TRGCTR */ /* DOUBLE PRECISION STATE ( 6 ) */ /* The inputs of TRGSUB are ET and REF; the outputs */ /* are TRGCTR and STATE. STATE is the geometric state */ /* of the target relative to the returned center of */ /* motion at ET, expressed in the frame REF. */ /* The target and observer define a state vector whose */ /* position component points from the observer to the */ /* target. */ /* ET is the ephemeris time, expressed as seconds past */ /* J2000 TDB, at which the state of the target body */ /* relative to the observer is to be computed. ET */ /* refers to time at the observer's location. */ /* REF is the inertial reference frame with respect to which */ /* the input state STOBS and the output state STARG are */ /* expressed. REF must be recognized by the SPICE */ /* Toolkit. The acceptable frames are listed in the */ /* Frames Required Reading, as well as in the SPICELIB */ /* routine CHGIRF. */ /* Case and blanks are not significant in the string */ /* REF. */ /* ABCORR indicates the aberration corrections to be applied to */ /* the state of the target body to account for one-way */ /* light time. See the discussion in the Particulars */ /* section for recommendations on how to choose */ /* aberration corrections. */ /* If ABCORR includes the stellar aberration correction */ /* symbol '+S', this flag is simply ignored. Aside from */ /* the possible presence of this symbol, ABCORR may be */ /* any of the following: */ /* 'NONE' Apply no correction. Return the */ /* geometric state of the target body */ /* relative to the observer. */ /* The following values of ABCORR apply to the */ /* "reception" case in which photons depart from the */ /* target's location at the light-time corrected epoch */ /* ET-LT and *arrive* at the observer's location at ET: */ /* 'LT' Correct for one-way light time (also */ /* called "planetary aberration") using a */ /* Newtonian formulation. This correction */ /* yields the state of the target at the */ /* moment it emitted photons arriving at */ /* the observer at ET. */ /* The light time correction involves */ /* iterative solution of the light time */ /* equation. (See the Particulars section */ /* of SPKEZR for details.) The solution */ /* invoked by the 'LT' option uses one */ /* iteration. */ /* 'CN' Converged Newtonian light time */ /* correction. In solving the light time */ /* equation, the 'CN' correction iterates */ /* until the solution converges (three */ /* iterations on all supported platforms). */ /* Whether the 'CN+S' solution is */ /* substantially more accurate than the */ /* 'LT' solution depends on the geometry */ /* of the participating objects and on the */ /* accuracy of the input data. In all */ /* cases this routine will execute more */ /* slowly when a converged solution is */ /* computed. See the Particulars section of */ /* SPKEZR for a discussion of precision of */ /* light time corrections. */ /* The following values of ABCORR apply to the */ /* "transmission" case in which photons *depart* from */ /* the observer's location at ET and arrive at the */ /* target's location at the light-time corrected epoch */ /* ET+LT: */ /* 'XLT' "Transmission" case: correct for */ /* one-way light time using a Newtonian */ /* formulation. This correction yields the */ /* state of the target at the moment it */ /* receives photons emitted from the */ /* observer's location at ET. */ /* 'XCN' "Transmission" case: converged */ /* Newtonian light time correction. */ /* Neither special nor general relativistic effects are */ /* accounted for in the aberration corrections applied */ /* by this routine. */ /* Case and blanks are not significant in the string */ /* ABCORR. */ /* STOBS is the geometric (uncorrected) state of the observer */ /* relative to the solar system barycenter at epoch ET. */ /* STOBS is a 6-vector: the first three components of */ /* STOBS represent a Cartesian position vector; the last */ /* three components represent the corresponding velocity */ /* vector. STOBS is expressed relative to the inertial */ /* reference frame designated by REF. */ /* Units are always km and km/sec. */ /* $ Detailed_Output */ /* STARG is a Cartesian state vector representing the position */ /* and velocity of the target body relative to the */ /* specified observer. STARG is corrected for the */ /* specified aberration, and is expressed with respect */ /* to the specified inertial reference frame. The first */ /* three components of STARG represent the x-, y- and */ /* z-components of the target's position; last three */ /* components form the corresponding velocity vector. */ /* The position component of STARG points from the */ /* observer's location at ET to the aberration-corrected */ /* location of the target. Note that the sense of the */ /* position vector is independent of the direction of */ /* radiation travel implied by the aberration */ /* correction. */ /* Units are always km and km/sec. */ /* LT is the one-way light time between the observer and */ /* target in seconds. If the target state is corrected */ /* for light time, then LT is the one-way light time */ /* between the observer and the light time-corrected */ /* target location. */ /* DLT is the derivative with respect to barycentric */ /* dynamical time of the one way light time between */ /* target and observer: */ /* DLT = d(LT)/d(ET) */ /* DLT can also be described as the rate of change of */ /* one way light time. DLT is unitless, since LT and */ /* ET both have units of TDB seconds. */ /* If the observer and target are at the same position, */ /* then DLT is set to zero. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) For the convenience of the caller, the input aberration */ /* correction flag can call for stellar aberration correction via */ /* inclusion of the '+S' suffix. This portion of the aberration */ /* correction flag is ignored if present. */ /* 2) If ABCORR calls for stellar aberration but not light */ /* time corrections, the error SPICE(NOTSUPPORTED) is */ /* signaled. */ /* 3) If ABCORR calls for relativistic light time corrections, the */ /* error SPICE(NOTSUPPORTED) is signaled. */ /* 4) If the value of ABCORR is not recognized, the error */ /* is diagnosed by a routine in the call tree of this */ /* routine. */ /* 5) If the reference frame requested is not a recognized */ /* inertial reference frame, the error SPICE(UNKNOWNFRAME) */ /* is signaled. */ /* 6) If the state of the target relative to the solar system */ /* barycenter cannot be computed, the error will be diagnosed */ /* by routines in the call tree of this routine. */ /* 7) If the observer and target are at the same position, */ /* then DLT is set to zero. This situation could arise, */ /* for example, when the observer is Mars and the target */ /* is the Mars barycenter. */ /* 8) If a division by zero error would occur in the computation */ /* of DLT, the error SPICE(DIVIDEBYZERO) is signaled. */ /* $ Files */ /* This routine computes states using SPK files that have been */ /* loaded into the SPICE system, normally via the kernel loading */ /* interface routine FURNSH. Application programs typically load */ /* kernels once before this routine is called, for example during */ /* program initialization; kernels need not be loaded repeatedly. */ /* See the routine FURNSH and the SPK and KERNEL Required Reading */ /* for further information on loading (and unloading) kernels. */ /* If any of the ephemeris data used to compute STARG are expressed */ /* relative to a non-inertial frame in the SPK files providing those */ /* data, additional kernels may be needed to enable the reference */ /* frame transformations required to compute the state. Normally */ /* these additional kernels are PCK files or frame kernels. Any */ /* such kernels must already be loaded at the time this routine is */ /* called. */ /* $ Particulars */ /* This routine supports higher-level routines that can */ /* perform both light time and stellar aberration corrections */ /* and that use target states provided by subroutines rather */ /* than by the conventional, public SPK APIs. For example, this */ /* routine can be used for objects having fixed positions */ /* on the surfaces of planets. */ /* $ Examples */ /* See usage in ZZSPKFAP. */ /* $ Restrictions */ /* 1) This routine must not be called by routines of the SPICE */ /* frame subsystem. It must not be called by any portion of */ /* the SPK subsystem other than the private SPK function-based */ /* component. */ /* 2) The input subroutine TRGSUB must not call this routine. */ /* or any of the supporting, private SPK routines */ /* 3) When possible, the routine SPKGEO should be used instead of */ /* this routine to compute geometric states. SPKGEO introduces */ /* less round-off error when the observer and target have common */ /* center that is closer to both objects than is the solar */ /* system barycenter. */ /* 4) Unlike most other SPK state computation routines, this */ /* routine requires that the output state be relative to an */ /* inertial reference frame. */ /* $ Literature_References */ /* None. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Version */ /* - SPICELIB Version 1.0.0, 04-JUL-2014 (NJB) */ /* Discussion of light time corrections was updated. Assertions */ /* that converged light time corrections are unlikely to be */ /* useful were removed. */ /* Last update was 22-FEB-2012 (NJB) */ /* -& */ /* $ Index_Entries */ /* low-level light time correction */ /* light-time corrected state from spk file */ /* get light-time corrected state */ /* -& */ /* $ Revisions */ /* None. */ /* -& */ /* SPICELIB functions */ /* Local parameters */ /* TOL is the tolerance used for a division-by-zero test */ /* performed prior to computation of DLT. */ /* Convergence limit: */ /* Maximum number of light time iterations for any */ /* aberration correction: */ /* Local variables */ /* Saved variables */ /* Initial values */ /* Standard SPICE error handling. */ if (return_()) { return 0; } chkin_("ZZSPKFLT", (ftnlen)8); if (pass1 || s_cmp(abcorr, prvcor, abcorr_len, (ftnlen)5) != 0) { /* The aberration correction flag differs from the value it */ /* had on the previous call, if any. Analyze the new flag. */ zzvalcor_(abcorr, attblk, abcorr_len); if (failed_()) { chkout_("ZZSPKFLT", (ftnlen)8); return 0; } /* The aberration correction flag is recognized; save it. */ s_copy(prvcor, abcorr, (ftnlen)5, abcorr_len); /* Set logical flags indicating the attributes of the requested */ /* correction: */ /* XMIT is .TRUE. when the correction is for transmitted */ /* radiation. */ /* USELT is .TRUE. when any type of light time correction */ /* (normal or converged Newtonian) is specified. */ /* USECN indicates converged Newtonian light time correction. */ /* The above definitions are consistent with those used by */ /* ZZVALCOR. */ xmit = attblk[4]; uselt = attblk[1]; usecn = attblk[3]; usestl = attblk[2]; pass1 = FALSE_; } /* See if the reference frame is a recognized inertial frame. */ irfnum_(ref, &refid, ref_len); if (refid == 0) { setmsg_("The requested frame '#' is not a recognized inertial frame. " , (ftnlen)60); errch_("#", ref, (ftnlen)1, ref_len); sigerr_("SPICE(UNKNOWNFRAME)", (ftnlen)19); chkout_("ZZSPKFLT", (ftnlen)8); return 0; } /* Find the geometric state of the target body with respect to */ /* the solar system barycenter. Subtract the state of the */ /* observer to get the relative state. Use this to compute the */ /* one-way light time. */ (*trgsub)(et, ref, &trgctr, sttctr, ref_len); spkssb_(&trgctr, et, ref, ctrssb, ref_len); if (failed_()) { chkout_("ZZSPKFLT", (ftnlen)8); return 0; } vaddg_(ctrssb, sttctr, &c__6, ssbtrg); vsubg_(ssbtrg, stobs, &c__6, starg); dist = vnorm_(starg); *lt = dist / clight_(); if (*lt == 0.) { /* This can happen only if the observer and target are at the */ /* same position. We don't consider this an error, but we're not */ /* going to compute the light time derivative. */ *dlt = 0.; chkout_("ZZSPKFLT", (ftnlen)8); return 0; } if (! uselt) { /* This is a special case: we're not using light time */ /* corrections, so the derivative */ /* of light time is just */ /* (1/c) * d(VNORM(STARG))/dt */ *dlt = vdot_(starg, &starg[3]) / (dist * clight_()); /* LT and DLT are both set, so we can return. */ chkout_("ZZSPKFLT", (ftnlen)8); return 0; } /* To correct for light time, find the state of the target body */ /* at the current epoch minus the one-way light time. Note that */ /* the observer remains where it is. */ /* Determine the sign of the light time offset. */ if (xmit) { ltsign = 1; } else { ltsign = -1; } /* Let NUMITR be the number of iterations we'll perform to */ /* compute the light time. */ if (usecn) { numitr = 5; } else { numitr = 1; } i__ = 0; lterr = 1.; while(i__ < numitr && lterr > 1e-17) { /* LT was set either prior to this loop or */ /* during the previous loop iteration. */ d__1 = *et + ltsign * *lt; epoch = touchd_(&d__1); (*trgsub)(&epoch, ref, &trgctr, sttctr, ref_len); spkssb_(&trgctr, &epoch, ref, ctrssb, ref_len); if (failed_()) { chkout_("ZZSPKFLT", (ftnlen)8); return 0; } vaddg_(ctrssb, sttctr, &c__6, ssbtrg); vsubg_(ssbtrg, stobs, &c__6, starg); prvlt = *lt; d__1 = vnorm_(starg) / clight_(); *lt = touchd_(&d__1); /* LTERR is the magnitude of the change between the current */ /* estimate of light time and the previous estimate, relative to */ /* the previous light time corrected epoch. */ /* Computing MAX */ d__3 = 1., d__4 = abs(epoch); d__2 = (d__1 = *lt - prvlt, abs(d__1)) / max(d__3,d__4); lterr = touchd_(&d__2); ++i__; } /* At this point, STARG contains the light time corrected */ /* state of the target relative to the observer. */ /* Compute the derivative of light time with respect */ /* to time: dLT/dt. Below we derive the formula for */ /* this quantity for the reception case. Let */ /* POBS be the position of the observer relative to the */ /* solar system barycenter. */ /* VOBS be the velocity of the observer relative to the */ /* solar system barycenter. */ /* PTARG be the position of the target relative to the */ /* solar system barycenter. */ /* VTARG be the velocity of the target relative to the */ /* solar system barycenter. */ /* S be the sign of the light time correction. S is */ /* negative for the reception case. */ /* The light-time corrected position of the target relative to */ /* the observer at observation time ET, given the one-way */ /* light time LT is: */ /* PTARG(ET+S*LT) - POBS(ET) */ /* The light-time corrected velocity of the target relative to */ /* the observer at observation time ET is */ /* VTARG(ET+S*LT)*( 1 + S*d(LT)/d(ET) ) - VOBS(ET) */ /* We need to compute dLT/dt. Below, we use the facts that, */ /* for a time-dependent vector X(t), */ /* ||X|| = <X,X> ** (1/2) */ /* d(||X||)/dt = (1/2)<X,X>**(-1/2) * 2 * <X,dX/dt> */ /* = <X,X>**(-1/2) * <X,dX/dt> */ /* = <X,dX/dt> / ||X|| */ /* Newtonian light time equation: */ /* LT = (1/c) * || PTARG(ET+S*LT) - POBS(ET)|| */ /* Differentiate both sides: */ /* dLT/dt = (1/c) * ( 1 / || PTARG(ET+S*LT) - POBS(ET) || ) */ /* * < PTARG(ET+S*LT) - POBS(ET), */ /* VTARG(ET+S*LT)*(1+S*d(LT)/d(ET)) - VOBS(ET) > */ /* = (1/c) * ( 1 / || PTARG(ET+S*LT) - POBS(ET) || ) */ /* * ( < PTARG(ET+S*LT) - POBS(ET), */ /* VTARG(ET+S*LT) - VOBS(ET) > */ /* + < PTARG(ET+S*LT) - POBS(ET), */ /* VTARG(ET+S*LT) > * (S*d(LT)/d(ET)) ) */ /* Let */ /* A = (1/c) * ( 1 / || PTARG(ET+S*LT) - POBS(ET) || ) */ /* B = < PTARG(ET+S*LT) - POBS(ET), VTARG(ET+S*LT) - VOBS(ET) > */ /* C = < PTARG(ET+S*LT) - POBS(ET), VTARG(ET+S*LT) > */ /* Then */ /* d(LT)/d(ET) = A * ( B + C * S*d(LT)/d(ET) ) */ /* which implies */ /* d(LT)/d(ET) = A*B / ( 1 - S*C*A ) */ a = 1. / (clight_() * vnorm_(starg)); b = vdot_(starg, &starg[3]); c__ = vdot_(starg, &ssbtrg[3]); /* For physically realistic target velocities, S*C*A cannot equal 1. */ /* We'll check for this case anyway. */ if (ltsign * c__ * a > .99999999989999999) { setmsg_("Target range rate magnitude is approximately the speed of l" "ight. The light time derivative cannot be computed.", (ftnlen) 110); sigerr_("SPICE(DIVIDEBYZERO)", (ftnlen)19); chkout_("ZZSPKFLT", (ftnlen)8); return 0; } /* Compute DLT: the rate of change of light time. */ *dlt = a * b / (1. - ltsign * c__ * a); /* Overwrite the velocity portion of the output state */ /* with the light-time corrected velocity. */ d__1 = ltsign * *dlt + 1.; vlcom_(&d__1, &ssbtrg[3], &c_b19, &stobs[3], &starg[3]); chkout_("ZZSPKFLT", (ftnlen)8); return 0; } /* zzspkflt_ */
/* $Procedure ZZSPKFAP ( SPK function, apparent inertial state ) */ /* Subroutine */ int zzspkfap_(U_fp trgsub, doublereal *et, char *ref, char * abcorr, doublereal *stobs, doublereal *accobs, doublereal *starg, doublereal *lt, doublereal *dlt, ftnlen ref_len, ftnlen abcorr_len) { /* Initialized data */ static logical pass1 = TRUE_; static char prvcor[5] = " "; /* Builtin functions */ integer s_cmp(char *, char *, ftnlen, ftnlen); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ extern /* Subroutine */ int vadd_(doublereal *, doublereal *, doublereal * ), vequ_(doublereal *, doublereal *); static logical xmit; extern /* Subroutine */ int zzstelab_(logical *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *), zzvalcor_(char *, logical *, ftnlen), zzspkflt_(U_fp, doublereal *, char *, char *, doublereal *, doublereal *, doublereal *, doublereal *, ftnlen, ftnlen); integer refid; extern /* Subroutine */ int chkin_(char *, ftnlen), errch_(char *, char *, ftnlen, ftnlen); doublereal pcorr[3]; static logical uselt; extern logical failed_(void); logical attblk[15]; doublereal dpcorr[3], corvel[3]; extern /* Subroutine */ int sigerr_(char *, ftnlen), chkout_(char *, ftnlen), irfnum_(char *, integer *, ftnlen), setmsg_(char *, ftnlen); doublereal corpos[3]; extern logical return_(void); static logical usestl; /* $ Abstract */ /* SPICE Private routine intended solely for the support of SPICE */ /* routines. Users should not call this routine directly due */ /* to the volatile nature of this routine. */ /* Given the state and acceleration of an observer relative to the */ /* solar system barycenter, return the state (position and velocity) */ /* of a target body relative to the observer, optionally corrected */ /* for light time and stellar aberration. All input and output */ /* vectors are expressed relative to an inertial reference frame. An */ /* input subroutine provides the state of the target relative to its */ /* center of motion. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* EPHEMERIS */ /* $ Declarations */ /* $ Abstract */ /* Include file zzabcorr.inc */ /* SPICE private file intended solely for the support of SPICE */ /* routines. Users should not include this file directly due */ /* to the volatile nature of this file */ /* The parameters below define the structure of an aberration */ /* correction attribute block. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Parameters */ /* An aberration correction attribute block is an array of logical */ /* flags indicating the attributes of the aberration correction */ /* specified by an aberration correction string. The attributes */ /* are: */ /* - Is the correction "geometric"? */ /* - Is light time correction indicated? */ /* - Is stellar aberration correction indicated? */ /* - Is the light time correction of the "converged */ /* Newtonian" variety? */ /* - Is the correction for the transmission case? */ /* - Is the correction relativistic? */ /* The parameters defining the structure of the block are as */ /* follows: */ /* NABCOR Number of aberration correction choices. */ /* ABATSZ Number of elements in the aberration correction */ /* block. */ /* GEOIDX Index in block of geometric correction flag. */ /* LTIDX Index of light time flag. */ /* STLIDX Index of stellar aberration flag. */ /* CNVIDX Index of converged Newtonian flag. */ /* XMTIDX Index of transmission flag. */ /* RELIDX Index of relativistic flag. */ /* The following parameter is not required to define the block */ /* structure, but it is convenient to include it here: */ /* CORLEN The maximum string length required by any aberration */ /* correction string */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.0, 18-DEC-2004 (NJB) */ /* -& */ /* Number of aberration correction choices: */ /* Aberration correction attribute block size */ /* (number of aberration correction attributes): */ /* Indices of attributes within an aberration correction */ /* attribute block: */ /* Maximum length of an aberration correction string: */ /* End of include file zzabcorr.inc */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* TRGSUB I Target body state subroutine. */ /* ET I Observer epoch. */ /* REF I Inertial reference frame of output state. */ /* ABCORR I Aberration correction flag. */ /* STOBS I State of the observer relative to the SSB. */ /* ACCOBS I Acceleration of the observer relative to the SSB. */ /* STARG O State of target. */ /* LT O One way light time between observer and target. */ /* DLT O Derivative of light time with respect to time. */ /* $ Detailed_Input */ /* TRGSUB is the name of an external subroutine that returns */ /* the geometric state of the target body relative to a */ /* center of motion, expressed in the inertial reference */ /* frame REF, at the epoch ET. */ /* The calling sequence of TRGSUB is */ /* SUBROUTINE TRGSUB ( ET, REF, TRGCTR, STATE ) */ /* DOUBLE PRECISION ET */ /* CHARACTER*(*) REF */ /* INTEGER TRGCTR */ /* DOUBLE PRECISION STATE ( 6 ) */ /* The inputs of TRGSUB are ET and REF; the outputs */ /* are TRGCTR and STATE. STATE is the geometric state */ /* of the target relative to the returned center of */ /* motion at ET, expressed in the frame REF. */ /* The target and observer define a state vector whose */ /* position component points from the observer to the */ /* target. */ /* ET is the ephemeris time, expressed as seconds past */ /* J2000 TDB, at which the state of the target body */ /* relative to the observer is to be computed. ET */ /* refers to time at the observer's location. */ /* REF is the inertial reference frame with respect to which */ /* the input state STOBS, the input acceleration ACCOBS, */ /* and the output state STARG are expressed. REF must be */ /* recognized by the SPICE Toolkit. The acceptable */ /* frames are listed in the Frames Required Reading, as */ /* well as in the SPICELIB routine CHGIRF. */ /* Case and blanks are not significant in the string */ /* REF. */ /* ABCORR indicates the aberration corrections to be applied */ /* to the state of the target body to account for one-way */ /* light time and stellar aberration. See the discussion */ /* in the header of SPKEZR for recommendations on */ /* how to choose aberration corrections. */ /* ABCORR may be any of the following: */ /* 'NONE' Apply no correction. Return the */ /* geometric state of the target body */ /* relative to the observer. */ /* The following values of ABCORR apply to the */ /* "reception" case in which photons depart from the */ /* target's location at the light-time corrected epoch */ /* ET-LT and *arrive* at the observer's location at ET: */ /* 'LT' Correct for one-way light time (also */ /* called "planetary aberration") using a */ /* Newtonian formulation. This correction */ /* yields the state of the target at the */ /* moment it emitted photons arriving at */ /* the observer at ET. */ /* The light time correction uses an */ /* iterative solution of the light time */ /* equation (see Particulars for details). */ /* The solution invoked by the 'LT' option */ /* uses one iteration. */ /* 'LT+S' Correct for one-way light time and */ /* stellar aberration using a Newtonian */ /* formulation. This option modifies the */ /* state obtained with the 'LT' option to */ /* account for the observer's velocity */ /* relative to the solar system */ /* barycenter. The result is the apparent */ /* state of the target---the position and */ /* velocity of the target as seen by the */ /* observer. */ /* 'CN' Converged Newtonian light time */ /* correction. In solving the light time */ /* equation, the 'CN' correction iterates */ /* until the solution converges (three */ /* iterations on all supported platforms). */ /* Whether the 'CN+S' solution is */ /* substantially more accurate than the */ /* 'LT' solution depends on the geometry */ /* of the participating objects and on the */ /* accuracy of the input data. In all */ /* cases this routine will execute more */ /* slowly when a converged solution is */ /* computed. See the Particulars section of */ /* SPKEZR for a discussion of precision of */ /* light time corrections. */ /* 'CN+S' Converged Newtonian light time */ /* correction and stellar aberration */ /* correction. */ /* The following values of ABCORR apply to the */ /* "transmission" case in which photons *depart* from */ /* the observer's location at ET and arrive at the */ /* target's location at the light-time corrected epoch */ /* ET+LT: */ /* 'XLT' "Transmission" case: correct for */ /* one-way light time using a Newtonian */ /* formulation. This correction yields the */ /* state of the target at the moment it */ /* receives photons emitted from the */ /* observer's location at ET. */ /* 'XLT+S' "Transmission" case: correct for */ /* one-way light time and stellar */ /* aberration using a Newtonian */ /* formulation This option modifies the */ /* state obtained with the 'XLT' option to */ /* account for the observer's velocity */ /* relative to the solar system */ /* barycenter. The position component of */ /* the computed target state indicates the */ /* direction that photons emitted from the */ /* observer's location must be "aimed" to */ /* hit the target. */ /* 'XCN' "Transmission" case: converged */ /* Newtonian light time correction. */ /* 'XCN+S' "Transmission" case: converged */ /* Newtonian light time correction and */ /* stellar aberration correction. */ /* Neither special nor general relativistic effects are */ /* accounted for in the aberration corrections applied */ /* by this routine. */ /* Case and blanks are not significant in the string */ /* ABCORR. */ /* STOBS is the geometric state of the observer relative to */ /* the solar system barycenter at ET. STOBS is expressed */ /* relative to the reference frame designated by REF. */ /* The target and observer define a state vector whose */ /* position component points from the observer to the */ /* target. */ /* ACCOBS is the geometric acceleration of the observer */ /* relative to the solar system barycenter at ET. This */ /* is the derivative with respect to time of the */ /* velocity portion of STOBS. ACCOBS is expressed */ /* relative to the reference frame designated by REF. */ /* ACCOBS is used for computing stellar aberration */ /* corrected velocity. If stellar aberration corrections */ /* are not specified by ABCORR, ACCOBS is ignored; the */ /* caller need not provide a valid input value in this */ /* case. */ /* $ Detailed_Output */ /* STARG is a Cartesian state vector representing the position */ /* and velocity of the target body relative to the */ /* specified observer. STARG is corrected for the */ /* specified aberrations, and is expressed with respect */ /* to the inertial reference frame designated by REF. */ /* The first three components of STARG represent the x-, */ /* y- and z-components of the target's position; last */ /* three components form the corresponding velocity */ /* vector. */ /* The position component of STARG points from the */ /* observer's location at ET to the aberration-corrected */ /* location of the target. Note that the sense of the */ /* position vector is independent of the direction of */ /* radiation travel implied by the aberration */ /* correction. */ /* Units are always km and km/sec. */ /* LT is the one-way light time between the observer and */ /* target in seconds. If the target state is corrected */ /* for light time, then LT is the one-way light time */ /* between the observer and the light time-corrected */ /* target location. */ /* DLT is the derivative with respect to barycentric */ /* dynamical time of the one way light time between */ /* target and observer: */ /* DLT = d(LT)/d(ET) */ /* DLT can also be described as the rate of change of */ /* one way light time. DLT is unitless, since LT and */ /* ET both have units of TDB seconds. */ /* If the observer and target are at the same position, */ /* then DLT is set to zero. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If the value of ABCORR is not recognized, the error */ /* is diagnosed by a routine in the call tree of this */ /* routine. */ /* 2) If the reference frame requested is not a recognized */ /* inertial reference frame, the error SPICE(BADFRAME) */ /* is signaled. */ /* 3) If the state of the target relative to the solar system */ /* barycenter cannot be computed, the error will be diagnosed */ /* by routines in the call tree of this routine. */ /* 4) If the observer and target are at the same position, */ /* then DLT is set to zero. This situation could arise, */ /* for example, when the observer is Mars and the target */ /* is the Mars barycenter. */ /* $ Files */ /* This routine computes states using SPK files that have been */ /* loaded into the SPICE system, normally via the kernel loading */ /* interface routine FURNSH. Application programs typically load */ /* kernels once before this routine is called, for example during */ /* program initialization; kernels need not be loaded repeatedly. */ /* See the routine FURNSH and the SPK and KERNEL Required Reading */ /* for further information on loading (and unloading) kernels. */ /* If any of the ephemeris data used to compute STARG are expressed */ /* relative to a non-inertial frame in the SPK files providing those */ /* data, additional kernels may be needed to enable the reference */ /* frame transformations required to compute the state. Normally */ /* these additional kernels are PCK files or frame kernels. Any such */ /* kernels must already be loaded at the time this routine is */ /* called. */ /* $ Particulars */ /* This routine supports higher-level routines that can */ /* perform both light time and stellar aberration corrections */ /* and that use target states provided by subroutines rather */ /* than by the conventional, public SPK APIs. For example, this */ /* routine can be used for objects having fixed positions */ /* on the surfaces of planets. */ /* $ Examples */ /* None. */ /* $ Restrictions */ /* 1) This routine must not be called by routines of the SPICE */ /* frame subsystem. It must not be called by any portion of */ /* the SPK subsystem other than the private SPK function-based */ /* component. */ /* 2) The input subroutine TRGSUB must not call this routine */ /* or any of the supporting, private SPK routines */ /* ZZSPKFAT */ /* ZZSPKFAO */ /* ZZSPKFZO */ /* ZZSPKFZT */ /* 3) When possible, the routine SPKGEO should be used instead of */ /* this routine to compute geometric states. SPKGEO introduces */ /* less round-off error when the observer and target have common */ /* center that is closer to both objects than is the solar */ /* system barycenter. */ /* 4) Unlike most other SPK state computation routines, this */ /* routine requires that the output state be relative to an */ /* inertial reference frame. */ /* $ Literature_References */ /* None. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Version */ /* - SPICELIB Version 1.0.0, 04-JUL-2014 (NJB) */ /* Discussion of light time corrections was updated. Assertions */ /* that converged light time corrections are unlikely to be */ /* useful were removed. */ /* - SPICELIB Version 1.0.0, 09-JAN-2011 (NJB) */ /* -& */ /* $ Index_Entries */ /* low-level aberration-corrected state computation */ /* low-level light time and stellar aberration correction */ /* -& */ /* $ Revisions */ /* None. */ /* -& */ /* SPICELIB functions */ /* Local parameters */ /* Local variables */ /* Saved variables */ /* Initial values */ /* Standard SPICE error handling. */ if (return_()) { return 0; } chkin_("ZZSPKFAP", (ftnlen)8); if (pass1 || s_cmp(abcorr, prvcor, abcorr_len, (ftnlen)5) != 0) { /* The aberration correction flag differs from the value it */ /* had on the previous call, if any. Analyze the new flag. */ zzvalcor_(abcorr, attblk, abcorr_len); if (failed_()) { chkout_("ZZSPKFAP", (ftnlen)8); return 0; } /* The aberration correction flag is recognized; save it. */ s_copy(prvcor, abcorr, (ftnlen)5, abcorr_len); /* Set logical flags indicating the attributes of the requested */ /* correction: */ /* XMIT is .TRUE. when the correction is for transmitted */ /* radiation. */ /* USELT is .TRUE. when any type of light time correction */ /* (normal or converged Newtonian) is specified. */ /* USECN indicates converged Newtonian light time correction. */ /* The above definitions are consistent with those used by */ /* ZZVALCOR. */ xmit = attblk[4]; uselt = attblk[1]; usestl = attblk[2]; pass1 = FALSE_; } /* See if the reference frame is a recognized inertial frame. */ irfnum_(ref, &refid, ref_len); if (refid == 0) { setmsg_("The requested frame '#' is not a recognized inertial frame. " , (ftnlen)60); errch_("#", ref, (ftnlen)1, ref_len); sigerr_("SPICE(BADFRAME)", (ftnlen)15); chkout_("ZZSPKFAP", (ftnlen)8); return 0; } /* Get the state of the target relative to the observer, */ /* optionally corrected for light time. */ zzspkflt_((U_fp)trgsub, et, ref, abcorr, stobs, starg, lt, dlt, ref_len, abcorr_len); if (failed_()) { chkout_("ZZSPKFAP", (ftnlen)8); return 0; } /* If stellar aberration corrections are not needed, we're */ /* already done. */ if (! usestl) { chkout_("ZZSPKFAP", (ftnlen)8); return 0; } /* Get the stellar aberration correction and its time derivative. */ zzstelab_(&xmit, accobs, &stobs[3], starg, pcorr, dpcorr); /* Adding the stellar aberration correction to the light */ /* time-corrected target position yields the position corrected for */ /* both light time and stellar aberration. */ vadd_(pcorr, starg, corpos); vequ_(corpos, starg); /* Velocity is treated in an analogous manner. */ vadd_(dpcorr, &starg[3], corvel); vequ_(corvel, &starg[3]); chkout_("ZZSPKFAP", (ftnlen)8); return 0; } /* zzspkfap_ */
/* $Procedure PCKW02 ( Write PCK segment, type 2 ) */ /* Subroutine */ int pckw02_(integer *handle, integer *body, char *frame, doublereal *first, doublereal *last, char *segid, doublereal *intlen, integer *n, integer *polydg, doublereal *cdata, doublereal *btime, ftnlen frame_len, ftnlen segid_len) { /* System generated locals */ integer i__1; /* Local variables */ integer i__, k; extern /* Subroutine */ int etcal_(doublereal *, char *, ftnlen), chkin_( char *, ftnlen), dafps_(integer *, integer *, doublereal *, integer *, doublereal *); doublereal descr[5]; extern /* Subroutine */ int errch_(char *, char *, ftnlen, ftnlen); doublereal ltime; extern /* Subroutine */ int errdp_(char *, doublereal *, ftnlen); doublereal rsize; char etstr[40]; extern /* Subroutine */ int dafada_(doublereal *, integer *), dafbna_( integer *, doublereal *, char *, ftnlen), dafena_(void); extern logical failed_(void); extern /* Subroutine */ int chckid_(char *, integer *, char *, ftnlen, ftnlen); integer refcod, ninrec; doublereal radius, numrec; extern /* Subroutine */ int sigerr_(char *, ftnlen), chkout_(char *, ftnlen), irfnum_(char *, integer *, ftnlen), setmsg_(char *, ftnlen), errint_(char *, integer *, ftnlen); extern logical return_(void); char netstr[40]; doublereal dcd[2]; integer icd[5]; doublereal mid; /* $ Abstract */ /* Write a type 2 segment to a PCK binary file given */ /* the file handle, body, frame, time range covered by the */ /* segment, and the Chebyshev polynomial coefficeients. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* NAIF_IDS */ /* SPC */ /* PCK */ /* $ Keywords */ /* PCK */ /* $ Declarations */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* HANDLE I Handle of binary PCK file open for writing. */ /* BODY I NAIF code for ephemeris object. */ /* FRAME I Reference frame name. */ /* FIRST I Start time of interval covered by segment. */ /* LAST I End time of interval covered by segment. */ /* SEGID I Segment identifier. */ /* INTLEN I Length of time covered by logical record. */ /* N I Number of logical records in segment. */ /* POLYDG I Chebyshev polynomial degree. */ /* CDATA I Array of Chebyshev coefficients. */ /* BTIME I Begin time of first logical record. */ /* $ Detailed_Input */ /* HANDLE is the DAF handle of an PCK file to which a type 2 */ /* segment is to be added. The PCK file must be open */ /* for writing. */ /* BODY is the NAIF integer code for an ephemeris object */ /* whose orientation is described by the segment to */ /* be created. */ /* FRAME is the NAIF name for a reference frame relative to */ /* which the orientation information for BODY is */ /* specified. */ /* FIRST, */ /* LAST are, respectively, the start and stop times of */ /* the time interval over which the segment defines */ /* the orientation of body. */ /* SEGID is the segment identifier. A PCK segment */ /* identifier may contain up to 40 characters. */ /* INTLEN Length of time, in seconds, covered by each set of */ /* Chebyshev polynomial coefficients (each logical */ /* record). Each set of Chebyshev coefficents must */ /* cover this fixed time interval, INTLEN. */ /* N is the number of sets of Chebyshev polynomial */ /* coefficents (number of logical records) */ /* to be stored in the segment. There is one set */ /* of Chebyshev coefficients for each time period. */ /* POLYDG Degree of each set of Chebyshev polynomials. */ /* CDATA Array containing all the sets of Chebyshev */ /* polynomial coefficients to be contained in the */ /* segment of the PCK file. The coefficients are */ /* stored in CDATA in order as follows: */ /* the (degree + 1) coefficients for the first */ /* Euler angle of the first logical record */ /* the coefficients for the second Euler angle */ /* the coefficients for the third Euler angle */ /* the coefficients for the first Euler angle for */ /* the second logical record, ... */ /* and so on. */ /* BTIME Begin time (seconds past J2000 TDB) of first set */ /* of Chebyshev polynomial coefficients (first */ /* logical record). */ /* $ Detailed_Output */ /* None. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If the number of sets of coefficients is not positive */ /* 'SPICE(NUMCOEFFSNOTPOS)' is signalled. */ /* 2) If the interval length is not positive, 'SPICE(INTLENNOTPOS)' */ /* is signalled. */ /* 3) If the integer code for the reference frame is not recognized, */ /* 'SPICE(INVALIDREFFRAME)' is signalled. */ /* 4) If segment stop time is not greater then the begin time, */ /* 'SPICE(BADDESCRTIMES)' is signalled. */ /* 5) If the time of the first record is not greater than */ /* or equal to the descriptor begin time, 'SPICE(BADDESCRTIMES)' */ /* is signalled. */ /* 6) If the end time of the last record is not greater than */ /* or equal to the descriptor end time, 'SPICE(BADDESCRTIMES)' is */ /* signalled. */ /* $ Files */ /* A new type 2 PCK segment is written to the PCK file attached */ /* to HANDLE. */ /* $ Particulars */ /* This routine writes an PCK type 2 data segment to the designated */ /* PCK file, according to the format described in the PCK Required */ /* Reading. */ /* Each segment can contain data for only one body and reference */ /* frame. The Chebyshev polynomial degree and length of time covered */ /* by each logical record are also fixed. However, an arbitrary */ /* number of logical records of Chebyshev polynomial coefficients can */ /* be written in each segment. Minimizing the number of segments in */ /* a PCK file will help optimize how the SPICE system accesses the */ /* file. */ /* $ Examples */ /* Suppose that you have sets of Chebyshev polynomial coefficients */ /* in an array CDATA pertaining to the position of the moon (NAIF ID */ /* = 301) in the J2000 reference frame, and want to put these into a */ /* type 2 segment in an existing PCK file. The following code could */ /* be used to add one new type 2 segment. To add multiple segments, */ /* put the call to PCKW02 in a loop. */ /* C */ /* C First open the PCK file and get a handle for it. */ /* C */ /* CALL DAFOPW ( PCKNAM, HANDLE ) */ /* C */ /* C Create a segment identifier. */ /* C */ /* SEGID = 'MY_SAMPLE_PCK_TYPE_2_SEGMENT' */ /* C */ /* C Write the segment. */ /* CALL PCKW02 ( HANDLE, 301, 'J2000', */ /* . FIRST, LAST, SEGID, INTLEN, */ /* . N, POLYDG, CDATA, BTIME) */ /* C */ /* C Close the file. */ /* C */ /* CALL DAFCLS ( HANDLE ) */ /* $ Restrictions */ /* None. */ /* $ Literature_References */ /* None. */ /* $ Author_and_Institution */ /* K.S. Zukor (JPL) */ /* $ Version */ /* - SPICELIB Version 2.0.0, 1-AUG-1995 (KSZ) */ /* The calling sequence was corrected so that REF is */ /* a character string and BTIME contains only the start */ /* time of the first record. Comments updated, and new */ /* routine CHCKID is called to check segment identifier. */ /* - SPICELIB Version 1.0.0, 11-MAR-1994 (KSZ) */ /* -& */ /* $ Index_Entries */ /* write pck type_2 data segment */ /* -& */ /* $ Revisions */ /* - SPICELIB Version 2.0.0, 1-AUG-1995 (KSZ) */ /* The calling sequence was corrected so that REF is */ /* a character string and BTIME contains only the start */ /* time of the first record. Comments updated, and new */ /* routine CHCKID is called to check segment identifier. */ /* -& */ /* SPICELIB functions */ /* Local Parameters */ /* DTYPE is the PCK data type. */ /* NS is the size of a packed PCK segment descriptor. */ /* ND is the number of double precision components in an PCK */ /* segment descriptor. PCK uses ND = 2. */ /* NI is the number of integer components in an PCK segment */ /* descriptor. PCK uses NI = 5. */ /* SIDLEN is the maximum number of characters allowed in an */ /* PCK segment identifier. */ /* Local variables */ /* Standard SPICE error handling. */ if (return_()) { return 0; } else { chkin_("PCKW02", (ftnlen)6); } /* The number of sets of coefficients must be positive. */ if (*n <= 0) { setmsg_("The number of sets of Euler anglecoefficients is not positi" "ve. N = #", (ftnlen)68); errint_("#", n, (ftnlen)1); sigerr_("SPICE(NUMCOEFFSNOTPOS)", (ftnlen)22); chkout_("PCKW02", (ftnlen)6); return 0; } /* The interval length must be positive. */ if (*intlen <= 0.) { setmsg_("The interval length is not positive.N = #", (ftnlen)41); errdp_("#", intlen, (ftnlen)1); sigerr_("SPICE(INTLENNOTPOS)", (ftnlen)19); chkout_("PCKW02", (ftnlen)6); return 0; } /* Get the NAIF integer code for the reference frame. */ irfnum_(frame, &refcod, frame_len); if (refcod == 0) { setmsg_("The reference frame # is not supported.", (ftnlen)39); errch_("#", frame, (ftnlen)1, frame_len); sigerr_("SPICE(INVALIDREFFRAME)", (ftnlen)22); chkout_("PCKW02", (ftnlen)6); return 0; } /* The segment stop time must be greater than the begin time. */ if (*first > *last) { setmsg_("The segment start time: # is greater than the segment end t" "ime: #", (ftnlen)65); etcal_(first, etstr, (ftnlen)40); errch_("#", etstr, (ftnlen)1, (ftnlen)40); etcal_(last, netstr, (ftnlen)40); errch_("#", netstr, (ftnlen)1, (ftnlen)40); sigerr_("SPICE(BADDESCRTIMES)", (ftnlen)20); chkout_("PCKW02", (ftnlen)6); return 0; } /* The begin time of the first record must be less than or equal */ /* to the begin time of the segment. */ if (*first < *btime) { setmsg_("The segment descriptor start time: # is less than the begin" "ning time of the segment data: #", (ftnlen)91); etcal_(first, etstr, (ftnlen)40); errch_("#", etstr, (ftnlen)1, (ftnlen)40); etcal_(btime, etstr, (ftnlen)40); errch_("#", etstr, (ftnlen)1, (ftnlen)40); sigerr_("SPICE(BADDESCRTIMES)", (ftnlen)20); chkout_("PCKW02", (ftnlen)6); return 0; } /* The end time of the final record must be greater than or */ /* equal to the end time of the segment. */ ltime = *btime + *n * *intlen; if (*last > ltime) { setmsg_("The segment descriptor end time: # is greater than the end " "time of the segment data: #", (ftnlen)86); etcal_(last, etstr, (ftnlen)40); errch_("#", etstr, (ftnlen)1, (ftnlen)40); etcal_(<ime, etstr, (ftnlen)40); errch_("#", etstr, (ftnlen)1, (ftnlen)40); sigerr_("SPICE(BADDESCRTIMES)", (ftnlen)20); chkout_("PCKW02", (ftnlen)6); return 0; } /* Now check the validity of the segment identifier. */ chckid_("PCK segment identifier", &c__40, segid, (ftnlen)22, segid_len); if (failed_()) { chkout_("PCKW02", (ftnlen)6); return 0; } /* Store the start and end times to be associated */ /* with this segment. */ dcd[0] = *first; dcd[1] = *last; /* Create the integer portion of the descriptor. */ icd[0] = *body; icd[1] = refcod; icd[2] = 2; /* Pack the segment descriptor. */ dafps_(&c__2, &c__5, dcd, icd, descr); /* Begin a new segment of PCK type 2 form: */ /* Record 1 */ /* Record 2 */ /* ... */ /* Record N */ /* INIT ( initial epoch of first record ) */ /* INTLEN ( length of interval covered by each record ) */ /* RSIZE ( number of data elements in each record ) */ /* N ( number of records in segment ) */ /* Each record will have the form: */ /* MID ( midpoint of time interval ) */ /* RADIUS ( radius of time interval ) */ /* X coefficients, Y coefficients, Z coefficients */ dafbna_(handle, descr, segid, segid_len); /* Calculate the number of entries in a record. */ ninrec = (*polydg + 1) * 3; /* Fill segment with N records of data. */ i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { /* Calculate the midpoint and radius of the time of each */ /* record, and put that at the beginning of each record. */ radius = *intlen / 2; mid = *btime + radius + (i__ - 1) * *intlen; dafada_(&mid, &c__1); dafada_(&radius, &c__1); /* Put one set of coefficients into the segment. */ k = (i__ - 1) * ninrec + 1; dafada_(&cdata[k - 1], &ninrec); } /* Store the initial epoch of the first record. */ dafada_(btime, &c__1); /* Store the length of interval covered by each record. */ dafada_(intlen, &c__1); /* Store the size of each record (total number of array elements). */ rsize = (doublereal) (ninrec + 2); dafada_(&rsize, &c__1); /* Store the number of records contained in the segment. */ numrec = (doublereal) (*n); dafada_(&numrec, &c__1); /* End this segment. */ dafena_(); chkout_("PCKW02", (ftnlen)6); return 0; } /* pckw02_ */
/* $Procedure SPKLTC ( S/P Kernel, light time corrected state ) */ /* Subroutine */ int spkltc_(integer *targ, doublereal *et, char *ref, char * abcorr, doublereal *stobs, doublereal *starg, doublereal *lt, doublereal *dlt, ftnlen ref_len, ftnlen abcorr_len) { /* Initialized data */ static logical pass1 = TRUE_; static char prvcor[5] = " "; /* System generated locals */ doublereal d__1, d__2, d__3, d__4; /* Builtin functions */ integer s_cmp(char *, char *, ftnlen, ftnlen); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ doublereal dist; extern doublereal vdot_(doublereal *, doublereal *); static logical xmit; extern /* Subroutine */ int zzvalcor_(char *, logical *, ftnlen); doublereal a, b, c__; integer i__, refid; extern /* Subroutine */ int chkin_(char *, ftnlen); doublereal epoch; extern /* Subroutine */ int errch_(char *, char *, ftnlen, ftnlen); static logical usecn; extern /* Subroutine */ int vlcom_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *), vsubg_(doublereal *, doublereal *, integer *, doublereal *); doublereal ssblt, lterr; static logical uselt; extern doublereal vnorm_(doublereal *); doublereal prvlt; extern logical failed_(void); extern doublereal clight_(void); logical attblk[15]; extern doublereal touchd_(doublereal *); extern /* Subroutine */ int spkgeo_(integer *, doublereal *, char *, integer *, doublereal *, doublereal *, ftnlen), sigerr_(char *, ftnlen), chkout_(char *, ftnlen); integer ltsign; extern /* Subroutine */ int irfnum_(char *, integer *, ftnlen), setmsg_( char *, ftnlen); doublereal ssbtrg[6]; integer numitr; extern logical return_(void); logical usestl; /* $ Abstract */ /* Return the state (position and velocity) of a target body */ /* relative to an observer, optionally corrected for light time, */ /* expressed relative to an inertial reference frame. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* EPHEMERIS */ /* $ Declarations */ /* $ Abstract */ /* Include file zzabcorr.inc */ /* SPICE private file intended solely for the support of SPICE */ /* routines. Users should not include this file directly due */ /* to the volatile nature of this file */ /* The parameters below define the structure of an aberration */ /* correction attribute block. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Parameters */ /* An aberration correction attribute block is an array of logical */ /* flags indicating the attributes of the aberration correction */ /* specified by an aberration correction string. The attributes */ /* are: */ /* - Is the correction "geometric"? */ /* - Is light time correction indicated? */ /* - Is stellar aberration correction indicated? */ /* - Is the light time correction of the "converged */ /* Newtonian" variety? */ /* - Is the correction for the transmission case? */ /* - Is the correction relativistic? */ /* The parameters defining the structure of the block are as */ /* follows: */ /* NABCOR Number of aberration correction choices. */ /* ABATSZ Number of elements in the aberration correction */ /* block. */ /* GEOIDX Index in block of geometric correction flag. */ /* LTIDX Index of light time flag. */ /* STLIDX Index of stellar aberration flag. */ /* CNVIDX Index of converged Newtonian flag. */ /* XMTIDX Index of transmission flag. */ /* RELIDX Index of relativistic flag. */ /* The following parameter is not required to define the block */ /* structure, but it is convenient to include it here: */ /* CORLEN The maximum string length required by any aberration */ /* correction string */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.0, 18-DEC-2004 (NJB) */ /* -& */ /* Number of aberration correction choices: */ /* Aberration correction attribute block size */ /* (number of aberration correction attributes): */ /* Indices of attributes within an aberration correction */ /* attribute block: */ /* Maximum length of an aberration correction string: */ /* End of include file zzabcorr.inc */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* TARG I Target body. */ /* ET I Observer epoch. */ /* REF I Inertial reference frame of output state. */ /* ABCORR I Aberration correction flag. */ /* STOBS I State of the observer relative to the SSB. */ /* STARG O State of target. */ /* LT O One way light time between observer and target. */ /* DLT O Derivative of light time with respect to time. */ /* $ Detailed_Input */ /* TARG is the NAIF ID code for a target body. The target */ /* and observer define a state vector whose position */ /* component points from the observer to the target. */ /* ET is the ephemeris time, expressed as seconds past */ /* J2000 TDB, at which the state of the target body */ /* relative to the observer is to be computed. ET */ /* refers to time at the observer's location. */ /* REF is the inertial reference frame with respect to which */ /* the input state STOBS and the output state STARG are */ /* expressed. REF must be recognized by the SPICE */ /* Toolkit. The acceptable frames are listed in the */ /* Frames Required Reading, as well as in the SPICELIB */ /* routine CHGIRF. */ /* Case and blanks are not significant in the string */ /* REF. */ /* ABCORR indicates the aberration corrections to be applied to */ /* the state of the target body to account for one-way */ /* light time. See the discussion in the Particulars */ /* section for recommendations on how to choose */ /* aberration corrections. */ /* If ABCORR includes the stellar aberration correction */ /* symbol '+S', this flag is simply ignored. Aside from */ /* the possible presence of this symbol, ABCORR may be */ /* any of the following: */ /* 'NONE' Apply no correction. Return the */ /* geometric state of the target body */ /* relative to the observer. */ /* The following values of ABCORR apply to the */ /* "reception" case in which photons depart from the */ /* target's location at the light-time corrected epoch */ /* ET-LT and *arrive* at the observer's location at ET: */ /* 'LT' Correct for one-way light time (also */ /* called "planetary aberration") using a */ /* Newtonian formulation. This correction */ /* yields the state of the target at the */ /* moment it emitted photons arriving at */ /* the observer at ET. */ /* The light time correction involves */ /* iterative solution of the light time */ /* equation (see Particulars for details). */ /* The solution invoked by the 'LT' option */ /* uses one iteration. */ /* 'CN' Converged Newtonian light time */ /* correction. In solving the light time */ /* equation, the 'CN' correction iterates */ /* until the solution converges (three */ /* iterations on all supported platforms). */ /* Whether the 'CN+S' solution is */ /* substantially more accurate than the */ /* 'LT' solution depends on the geometry */ /* of the participating objects and on the */ /* accuracy of the input data. In all */ /* cases this routine will execute more */ /* slowly when a converged solution is */ /* computed. See the Particulars section of */ /* SPKEZR for a discussion of precision of */ /* light time corrections. */ /* The following values of ABCORR apply to the */ /* "transmission" case in which photons *depart* from */ /* the observer's location at ET and arrive at the */ /* target's location at the light-time corrected epoch */ /* ET+LT: */ /* 'XLT' "Transmission" case: correct for */ /* one-way light time using a Newtonian */ /* formulation. This correction yields the */ /* state of the target at the moment it */ /* receives photons emitted from the */ /* observer's location at ET. */ /* 'XCN' "Transmission" case: converged */ /* Newtonian light time correction. */ /* Neither special nor general relativistic effects are */ /* accounted for in the aberration corrections applied */ /* by this routine. */ /* Case and blanks are not significant in the string */ /* ABCORR. */ /* STOBS is the geometric (uncorrected) state of the observer */ /* relative to the solar system barycenter at epoch ET. */ /* STOBS is a 6-vector: the first three components of */ /* STOBS represent a Cartesian position vector; the last */ /* three components represent the corresponding velocity */ /* vector. STOBS is expressed relative to the inertial */ /* reference frame designated by REF. */ /* Units are always km and km/sec. */ /* $ Detailed_Output */ /* STARG is a Cartesian state vector representing the position */ /* and velocity of the target body relative to the */ /* specified observer. STARG is corrected for the */ /* specified aberration, and is expressed with respect */ /* to the specified inertial reference frame. The first */ /* three components of STARG represent the x-, y- and */ /* z-components of the target's position; last three */ /* components form the corresponding velocity vector. */ /* The position component of STARG points from the */ /* observer's location at ET to the aberration-corrected */ /* location of the target. Note that the sense of the */ /* position vector is independent of the direction of */ /* radiation travel implied by the aberration */ /* correction. */ /* Units are always km and km/sec. */ /* LT is the one-way light time between the observer and */ /* target in seconds. If the target state is corrected */ /* for light time, then LT is the one-way light time */ /* between the observer and the light time-corrected */ /* target location. */ /* DLT is the derivative with respect to barycentric */ /* dynamical time of the one way light time between */ /* target and observer: */ /* DLT = d(LT)/d(ET) */ /* DLT can also be described as the rate of change of */ /* one way light time. DLT is unitless, since LT and */ /* ET both have units of TDB seconds. */ /* If the observer and target are at the same position, */ /* then DLT is set to zero. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) For the convenience of the caller, the input aberration */ /* correction flag can call for stellar aberration correction via */ /* inclusion of the '+S' suffix. This portion of the aberration */ /* correction flag is ignored if present. */ /* 2) If the value of ABCORR is not recognized, the error */ /* is diagnosed by a routine in the call tree of this */ /* routine. */ /* 3) If the reference frame requested is not a recognized */ /* inertial reference frame, the error SPICE(BADFRAME) */ /* is signaled. */ /* 4) If the state of the target relative to the solar system */ /* barycenter cannot be computed, the error will be diagnosed */ /* by routines in the call tree of this routine. */ /* 5) If the observer and target are at the same position, */ /* then DLT is set to zero. This situation could arise, */ /* for example, when the observer is Mars and the target */ /* is the Mars barycenter. */ /* 6) If a division by zero error would occur in the computation */ /* of DLT, the error SPICE(DIVIDEBYZERO) is signaled. */ /* $ Files */ /* This routine computes states using SPK files that have been */ /* loaded into the SPICE system, normally via the kernel loading */ /* interface routine FURNSH. Application programs typically load */ /* kernels once before this routine is called, for example during */ /* program initialization; kernels need not be loaded repeatedly. */ /* See the routine FURNSH and the SPK and KERNEL Required Reading */ /* for further information on loading (and unloading) kernels. */ /* If any of the ephemeris data used to compute STARG are expressed */ /* relative to a non-inertial frame in the SPK files providing those */ /* data, additional kernels may be needed to enable the reference */ /* frame transformations required to compute the state. Normally */ /* these additional kernels are PCK files or frame kernels. Any */ /* such kernels must already be loaded at the time this routine is */ /* called. */ /* $ Particulars */ /* This routine supports higher-level SPK API routines that can */ /* perform both light time and stellar aberration corrections. */ /* User applications normally will not need to call this routine */ /* directly. */ /* See the header of the routine SPKEZR for a detailed discussion */ /* of aberration corrections. */ /* $ Examples */ /* The numerical results shown for this example may differ across */ /* platforms. The results depend on the SPICE kernels used as */ /* input, the compiler and supporting libraries, and the machine */ /* specific arithmetic implementation. */ /* 1) Look up a sequence of states of the Moon as seen from the */ /* Earth. Use light time corrections. Compute the first state for */ /* the epoch 2000 JAN 1 12:00:00 TDB; compute subsequent states at */ /* intervals of 1 hour. For each epoch, display the states, the */ /* one way light time between target and observer, and the rate of */ /* change of the one way light time. */ /* Use the following meta-kernel to specify the kernels to */ /* load: */ /* KPL/MK */ /* File name: spkltc.tm */ /* This meta-kernel is intended to support operation of SPICE */ /* example programs. The kernels shown here should not be */ /* assumed to contain adequate or correct versions of data */ /* required by SPICE-based user applications. */ /* In order for an application to use this meta-kernel, the */ /* kernels referenced here must be present in the user's */ /* current working directory. */ /* \begindata */ /* KERNELS_TO_LOAD = ( 'de421.bsp', */ /* 'pck00010.tpc', */ /* 'naif0010.tls' ) */ /* \begintext */ /* The code example follows: */ /* PROGRAM EX1 */ /* IMPLICIT NONE */ /* C */ /* C Local constants */ /* C */ /* C The meta-kernel name shown here refers to a file whose */ /* C contents are those shown above. This file and the kernels */ /* C it references must exist in your current working directory. */ /* C */ /* CHARACTER*(*) META */ /* PARAMETER ( META = 'spkltc.tm' ) */ /* C */ /* C Use a time step of 1 hour; look up 5 states. */ /* C */ /* DOUBLE PRECISION STEP */ /* PARAMETER ( STEP = 3600.0D0 ) */ /* INTEGER MAXITR */ /* PARAMETER ( MAXITR = 5 ) */ /* C */ /* C Local variables */ /* C */ /* DOUBLE PRECISION DLT */ /* DOUBLE PRECISION ET */ /* DOUBLE PRECISION ET0 */ /* DOUBLE PRECISION LT */ /* DOUBLE PRECISION STATE ( 6 ) */ /* DOUBLE PRECISION STOBS ( 6 ) */ /* INTEGER I */ /* C */ /* C Load the SPK and LSK kernels via the meta-kernel. */ /* C */ /* CALL FURNSH ( META ) */ /* C */ /* C Convert the start time to seconds past J2000 TDB. */ /* C */ /* CALL STR2ET ( '2000 JAN 1 12:00:00 TDB', ET0 ) */ /* C */ /* C Step through a series of epochs, looking up a */ /* C state vector at each one. */ /* C */ /* DO I = 1, MAXITR */ /* ET = ET0 + (I-1)*STEP */ /* C */ /* C Look up a state vector at epoch ET using the */ /* C following inputs: */ /* C */ /* C Target: Moon (NAIF ID code 301) */ /* C Reference frame: J2000 */ /* C Aberration correction: Light time ('LT') */ /* C Observer: Earth (NAIF ID code 399) */ /* C */ /* C Before we can execute this computation, we'll need the */ /* C geometric state of the observer relative to the solar */ /* C system barycenter at ET, expressed relative to the */ /* C J2000 reference frame: */ /* C */ /* CALL SPKSSB ( 399, ET, 'J2000', STOBS ) */ /* C */ /* C Now compute the desired state vector: */ /* C */ /* CALL SPKLTC ( 301, ET, 'J2000', 'LT', */ /* . STOBS, STATE, LT, DLT ) */ /* WRITE (*,*) 'ET = ', ET */ /* WRITE (*,*) 'J2000 x-position (km): ', STATE(1) */ /* WRITE (*,*) 'J2000 y-position (km): ', STATE(2) */ /* WRITE (*,*) 'J2000 z-position (km): ', STATE(3) */ /* WRITE (*,*) 'J2000 x-velocity (km/s): ', STATE(4) */ /* WRITE (*,*) 'J2000 y-velocity (km/s): ', STATE(5) */ /* WRITE (*,*) 'J2000 z-velocity (km/s): ', STATE(6) */ /* WRITE (*,*) 'One-way light time (s): ', LT */ /* WRITE (*,*) 'Light time rate: ', DLT */ /* WRITE (*,*) ' ' */ /* END DO */ /* END */ /* On a PC/Linux/gfortran platform, the following output was */ /* produced: */ /* ET = 0.0000000000000000 */ /* J2000 x-position (km): -291569.26541282982 */ /* J2000 y-position (km): -266709.18647825718 */ /* J2000 z-position (km): -76099.155118763447 */ /* J2000 x-velocity (km/s): 0.64353061322177041 */ /* J2000 y-velocity (km/s): -0.66608181700820079 */ /* J2000 z-velocity (km/s): -0.30132283179625752 */ /* One-way light time (s): 1.3423106103251679 */ /* Light time rate: 1.07316908698977495E-007 */ /* ET = 3600.0000000000000 */ /* J2000 x-position (km): -289240.78128184378 */ /* J2000 y-position (km): -269096.44087958336 */ /* J2000 z-position (km): -77180.899725757539 */ /* J2000 x-velocity (km/s): 0.65006211520087476 */ /* J2000 y-velocity (km/s): -0.66016273921695667 */ /* J2000 z-velocity (km/s): -0.29964267390571342 */ /* One-way light time (s): 1.3426939548635302 */ /* Light time rate: 1.05652598952224259E-007 */ /* ET = 7200.0000000000000 */ /* J2000 x-position (km): -286888.88736709207 */ /* J2000 y-position (km): -271462.30170547962 */ /* J2000 z-position (km): -78256.555682137609 */ /* J2000 x-velocity (km/s): 0.65653599154284592 */ /* J2000 y-velocity (km/s): -0.65419657680401588 */ /* J2000 z-velocity (km/s): -0.29794027307420823 */ /* One-way light time (s): 1.3430713117337547 */ /* Light time rate: 1.03990456898758609E-007 */ /* ET = 10800.000000000000 */ /* J2000 x-position (km): -284513.79173691198 */ /* J2000 y-position (km): -273806.60031034052 */ /* J2000 z-position (km): -79326.043183274567 */ /* J2000 x-velocity (km/s): 0.66295190054599118 */ /* J2000 y-velocity (km/s): -0.64818380709706158 */ /* J2000 z-velocity (km/s): -0.29621577937090349 */ /* One-way light time (s): 1.3434426890693671 */ /* Light time rate: 1.02330665243423737E-007 */ /* ET = 14400.000000000000 */ /* J2000 x-position (km): -282115.70368389413 */ /* J2000 y-position (km): -276129.16976799071 */ /* J2000 z-position (km): -80389.282965712249 */ /* J2000 x-velocity (km/s): 0.66930950377548726 */ /* J2000 y-velocity (km/s): -0.64212490805688027 */ /* J2000 z-velocity (km/s): -0.29446934336246899 */ /* One-way light time (s): 1.3438080956559786 */ /* Light time rate: 1.00673403630050830E-007 */ /* $ Restrictions */ /* 1) The routine SPKGEO should be used instead of this routine */ /* to compute geometric states. SPKGEO introduces less */ /* round-off error when the observer and target have common */ /* center that is closer to both objects than is the solar */ /* system barycenter. */ /* 2) The kernel files to be used by SPKLTC must be loaded */ /* (normally by the SPICELIB kernel loader FURNSH) before */ /* this routine is called. */ /* 3) Unlike most other SPK state computation routines, this */ /* routine requires that the output state be relative to an */ /* inertial reference frame. */ /* $ Literature_References */ /* None. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Version */ /* - SPICELIB Version 2.0.0, 04-JUL-2014 (NJB) */ /* Discussion of light time corrections was updated. Assertions */ /* that converged light time corrections are unlikely to be */ /* useful were removed. */ /* Last update was 02-MAY-2012 (NJB) */ /* Updated to ensure convergence when CN or XCN light time */ /* corrections are used. The new algorithm also terminates early */ /* (after fewer than three iterations) when convergence is */ /* attained. */ /* Call to ZZPRSCOR was replaced by a call to ZZVALCOR. */ /* - SPICELIB Version 1.0.0, 11-JAN-2008 (NJB) */ /* -& */ /* $ Index_Entries */ /* low-level light time correction */ /* light-time corrected state from spk file */ /* get light-time corrected state */ /* -& */ /* $ Revisions */ /* None. */ /* -& */ /* SPICELIB functions */ /* Local parameters */ /* TOL is the tolerance used for a division-by-zero test */ /* performed prior to computation of DLT. */ /* Convergence limit: */ /* Maximum number of light time iterations for any */ /* aberration correction: */ /* Local variables */ /* Saved variables */ /* Initial values */ /* Standard SPICE error handling. */ if (return_()) { return 0; } else { chkin_("SPKLTC", (ftnlen)6); } if (pass1 || s_cmp(abcorr, prvcor, abcorr_len, (ftnlen)5) != 0) { /* The aberration correction flag differs from the value it */ /* had on the previous call, if any. Analyze the new flag. */ zzvalcor_(abcorr, attblk, abcorr_len); if (failed_()) { chkout_("SPKLTC", (ftnlen)6); return 0; } /* The aberration correction flag is recognized; save it. */ s_copy(prvcor, abcorr, (ftnlen)5, abcorr_len); /* Set logical flags indicating the attributes of the requested */ /* correction: */ /* XMIT is .TRUE. when the correction is for transmitted */ /* radiation. */ /* USELT is .TRUE. when any type of light time correction */ /* (normal or converged Newtonian) is specified. */ /* USECN indicates converged Newtonian light time correction. */ /* The above definitions are consistent with those used by */ /* ZZVALCOR. */ xmit = attblk[4]; uselt = attblk[1]; usecn = attblk[3]; usestl = attblk[2]; pass1 = FALSE_; } /* See if the reference frame is a recognized inertial frame. */ irfnum_(ref, &refid, ref_len); if (refid == 0) { setmsg_("The requested frame '#' is not a recognized inertial frame. " , (ftnlen)60); errch_("#", ref, (ftnlen)1, ref_len); sigerr_("SPICE(BADFRAME)", (ftnlen)15); chkout_("SPKLTC", (ftnlen)6); return 0; } /* Find the geometric state of the target body with respect to */ /* the solar system barycenter. Subtract the state of the */ /* observer to get the relative state. Use this to compute the */ /* one-way light time. */ spkgeo_(targ, et, ref, &c__0, ssbtrg, &ssblt, ref_len); if (failed_()) { chkout_("SPKLTC", (ftnlen)6); return 0; } vsubg_(ssbtrg, stobs, &c__6, starg); dist = vnorm_(starg); *lt = dist / clight_(); if (*lt == 0.) { /* This can happen only if the observer and target are at the */ /* same position. We don't consider this an error, but we're not */ /* going to compute the light time derivative. */ *dlt = 0.; chkout_("SPKLTC", (ftnlen)6); return 0; } if (! uselt) { /* This is a special case: we're not using light time */ /* corrections, so the derivative */ /* of light time is just */ /* (1/c) * d(VNORM(STARG))/dt */ *dlt = vdot_(starg, &starg[3]) / (dist * clight_()); /* LT and DLT are both set, so we can return. */ chkout_("SPKLTC", (ftnlen)6); return 0; } /* To correct for light time, find the state of the target body */ /* at the current epoch minus the one-way light time. Note that */ /* the observer remains where it is. */ /* Determine the sign of the light time offset. */ if (xmit) { ltsign = 1; } else { ltsign = -1; } /* Let NUMITR be the number of iterations we'll perform to */ /* compute the light time. */ if (usecn) { numitr = 5; } else { numitr = 1; } i__ = 0; lterr = 1.; while(i__ < numitr && lterr > 1e-17) { /* LT was set either prior to this loop or */ /* during the previous loop iteration. */ epoch = *et + ltsign * *lt; spkgeo_(targ, &epoch, ref, &c__0, ssbtrg, &ssblt, ref_len); if (failed_()) { chkout_("SPKLTC", (ftnlen)6); return 0; } vsubg_(ssbtrg, stobs, &c__6, starg); prvlt = *lt; d__1 = vnorm_(starg) / clight_(); *lt = touchd_(&d__1); /* LTERR is the magnitude of the change between the current */ /* estimate of light time and the previous estimate, relative to */ /* the previous light time corrected epoch. */ /* Computing MAX */ d__3 = 1., d__4 = abs(epoch); d__2 = (d__1 = *lt - prvlt, abs(d__1)) / max(d__3,d__4); lterr = touchd_(&d__2); ++i__; } /* At this point, STARG contains the light time corrected */ /* state of the target relative to the observer. */ /* Compute the derivative of light time with respect */ /* to time: dLT/dt. Below we derive the formula for */ /* this quantity for the reception case. Let */ /* POBS be the position of the observer relative to the */ /* solar system barycenter. */ /* VOBS be the velocity of the observer relative to the */ /* solar system barycenter. */ /* PTARG be the position of the target relative to the */ /* solar system barycenter. */ /* VTARG be the velocity of the target relative to the */ /* solar system barycenter. */ /* S be the sign of the light time correction. S is */ /* negative for the reception case. */ /* The light-time corrected position of the target relative to */ /* the observer at observation time ET, given the one-way */ /* light time LT is: */ /* PTARG(ET+S*LT) - POBS(ET) */ /* The light-time corrected velocity of the target relative to */ /* the observer at observation time ET is */ /* VTARG(ET+S*LT)*( 1 + S*d(LT)/d(ET) ) - VOBS(ET) */ /* We need to compute dLT/dt. Below, we use the facts that, */ /* for a time-dependent vector X(t), */ /* ||X|| = <X,X> ** (1/2) */ /* d(||X||)/dt = (1/2)<X,X>**(-1/2) * 2 * <X,dX/dt> */ /* = <X,X>**(-1/2) * <X,dX/dt> */ /* = <X,dX/dt> / ||X|| */ /* Newtonian light time equation: */ /* LT = (1/c) * || PTARG(ET+S*LT) - POBS(ET)|| */ /* Differentiate both sides: */ /* dLT/dt = (1/c) * ( 1 / || PTARG(ET+S*LT) - POBS(ET) || ) */ /* * < PTARG(ET+S*LT) - POBS(ET), */ /* VTARG(ET+S*LT)*(1+S*d(LT)/d(ET)) - VOBS(ET) > */ /* = (1/c) * ( 1 / || PTARG(ET+S*LT) - POBS(ET) || ) */ /* * ( < PTARG(ET+S*LT) - POBS(ET), */ /* VTARG(ET+S*LT) - VOBS(ET) > */ /* + < PTARG(ET+S*LT) - POBS(ET), */ /* VTARG(ET+S*LT) > * (S*d(LT)/d(ET)) ) */ /* Let */ /* A = (1/c) * ( 1 / || PTARG(ET+S*LT) - POBS(ET) || ) */ /* B = < PTARG(ET+S*LT) - POBS(ET), VTARG(ET+S*LT) - VOBS(ET) > */ /* C = < PTARG(ET+S*LT) - POBS(ET), VTARG(ET+S*LT) > */ /* Then */ /* d(LT)/d(ET) = A * ( B + C * S*d(LT)/d(ET) ) */ /* which implies */ /* d(LT)/d(ET) = A*B / ( 1 - S*C*A ) */ a = 1. / (clight_() * vnorm_(starg)); b = vdot_(starg, &starg[3]); c__ = vdot_(starg, &ssbtrg[3]); /* For physically realistic target velocities, S*C*A cannot equal 1. */ /* We'll check for this case anyway. */ if (ltsign * c__ * a > .99999999989999999) { setmsg_("Target range rate magnitude is approximately the speed of l" "ight. The light time derivative cannot be computed.", (ftnlen) 110); sigerr_("SPICE(DIVIDEBYZERO)", (ftnlen)19); chkout_("SPKLTC", (ftnlen)6); return 0; } /* Compute DLT: the rate of change of light time. */ *dlt = a * b / (1. - ltsign * c__ * a); /* Overwrite the velocity portion of the output state */ /* with the light-time corrected velocity. */ d__1 = ltsign * *dlt + 1.; vlcom_(&d__1, &ssbtrg[3], &c_b19, &stobs[3], &starg[3]); chkout_("SPKLTC", (ftnlen)6); return 0; } /* spkltc_ */
/* $Procedure IRFTRN ( Inertial reference frame transformation ) */ /* Subroutine */ int irftrn_(char *refa, char *refb, doublereal *rotab, ftnlen refa_len, ftnlen refb_len) { integer codea, codeb; extern /* Subroutine */ int chkin_(char *, ftnlen), chkout_(char *, ftnlen), irfnum_(char *, integer *, ftnlen), irfrot_(integer *, integer *, doublereal *); extern logical return_(void); /* $ Abstract */ /* Return the matrix that transforms vectors from one specified */ /* inertial reference frame to another. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* SPK */ /* $ Keywords */ /* CONVERSION */ /* COORDINATES */ /* FRAMES */ /* MATRIX */ /* ROTATION */ /* TRANSFORMATION */ /* $ Declarations */ /* $ Brief_I/O */ /* Variable I/O Description */ /* -------- --- -------------------------------------------------- */ /* REFA I Name of reference frame to transform vectors FROM. */ /* REFB I Name of reference frame to transform vectors TO. */ /* ROTAB O REFA-to-REFB transformation matrix. */ /* $ Detailed_Input */ /* REFA, */ /* REFB Names of two inertial reference frames. Any names */ /* accepted by the routine IRFNUM may be used. See */ /* $Particulars for a list of some of the more */ /* commonly used inertial reference frame names. */ /* $ Detailed_Output */ /* ROTAB is a rotation matrix that transforms the */ /* coordinates of a vector V relative to the */ /* reference frame specified by REFA to the */ /* coordinates of V relative to the reference frame */ /* specified by REFB. The transformation is carried */ /* out by the matrix multiplication */ /* V = ROTAB * V. */ /* $ Parameters */ /* None. */ /* $ Exceptions */ /* 1) If either of the input reference frame names is invalid, the */ /* error will be diagnosed by routines called by this routine. */ /* $ Files */ /* None. */ /* $ Particulars */ /* Normally applications should call the more general, higher level */ /* routine PXFORM instead of this routine. */ /* This routine is a macro that replaces the code fragment */ /* CALL IRFNUM ( REFA, CODEA ) */ /* CALL IRFNUM ( REFB, CODEB ) */ /* CALL IRFROT ( CODEA, CODEB, ROTAB ) */ /* Among the reference frame names accepted by IRFNUM are: */ /* 'J2000' */ /* 'B1950' */ /* 'FK4' */ /* 'DE-96' */ /* 'DE-102' */ /* 'DE-108' */ /* 'DE-111' */ /* 'DE-114' */ /* 'DE-118' */ /* 'DE-122' */ /* 'DE-125' */ /* 'DE-130' */ /* 'DE-200' */ /* 'DE-202' */ /* 'GALACTIC' */ /* See the SPICELIB routine GHGIRF for details. */ /* $ Examples */ /* 1) Transform a vector V1950 from the B1950 to the J2000 */ /* reference frame. */ /* C */ /* C Ask IRFTRN for the matrix that transforms vectors */ /* C from the B1950 to the J2000 reference frame. */ /* C */ /* CALL IRFTRN ( 'B1950', 'J2000', TRANS ) */ /* C */ /* C Now transform V1950 to the J2000 reference frame. */ /* C */ /* CALL MXV ( TRANS, V1950, V2000 ) */ /* $ Restrictions */ /* None. */ /* $ Literature_References */ /* None. */ /* $ Author_and_Institution */ /* N.J. Bachman (JPL) */ /* $ Version */ /* - SPICELIB Version 1.0.2, 28-SEP-2004 (NJB) */ /* Corrected comment in code example in header. Made other minor */ /* updates to header. */ /* - SPICELIB Version 1.0.1, 10-MAR-1992 (WLT) */ /* Comment section for permuted index source lines was added */ /* following the header. */ /* - SPICELIB Version 1.0.0, 30-AUG-1991 (NJB) */ /* -& */ /* $ Index_Entries */ /* tranformation from one inertial frame to another */ /* -& */ /* SPICELIB functions */ /* Local variables */ /* Standard SPICE error handling. */ if (return_()) { return 0; } else { chkin_("IRFTRN", (ftnlen)6); } /* Encode the reference frame names, and find the transformation */ /* matrix. */ irfnum_(refa, &codea, refa_len); irfnum_(refb, &codeb, refb_len); irfrot_(&codea, &codeb, rotab); chkout_("IRFTRN", (ftnlen)6); return 0; } /* irftrn_ */