/* $Procedure LS ( Return L_s, planetocentric longitude of the sun ) */
doublereal ls_(integer *body, doublereal *et, char *corr, ftnlen corr_len)
{
/* System generated locals */
integer i__1, i__2;
doublereal ret_val;
/* Builtin functions */
integer s_rnge(char *, integer, char *, integer);
/* Local variables */
doublereal tipm[9] /* was [3][3] */;
extern /* Subroutine */ int vequ_(doublereal *, doublereal *);
integer i__;
doublereal x[3], y[3], z__[3];
extern /* Subroutine */ int chkin_(char *, ftnlen);
doublereal uavel[3], npole[3], state[6], trans[9] /* was [3][3] */;
extern /* Subroutine */ int spkez_(integer *, doublereal *, char *, char *
, integer *, doublereal *, doublereal *, ftnlen, ftnlen), ucrss_(
doublereal *, doublereal *, doublereal *);
doublereal lt;
extern /* Subroutine */ int reclat_(doublereal *, doublereal *,
doublereal *, doublereal *), tipbod_(char *, integer *,
doublereal *, doublereal *, ftnlen);
doublereal radius;
extern /* Subroutine */ int chkout_(char *, ftnlen);
extern logical return_(void);
doublereal lat, pos[3];
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
/* $ Abstract */
/* Compute L_s, the planetocentric longitude of the sun, as seen */
/* from 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 */
/* None. */
/* $ Keywords */
/* GEOMETRY */
/* $ Declarations */
/* $ Brief_I/O */
/* Variable I/O Description */
/* -------- --- -------------------------------------------------- */
/* BODY I NAIF integer code of central body. */
/* ET I Epoch in ephemeris seconds past J2000. */
/* CORR I Aberration correction. */
/* The function returns the value of L_s for the specified body */
/* at the specified time. */
/* $ Detailed_Input */
/* BODY is the NAIF integer code of the central body, */
/* typically a planet. */
/* ET is the epoch in ephemeris seconds past J2000 at which */
/* the longitude of the sun (L_s) is to be computed. */
/* CORR indicates the aberration corrections to be applied */
/* when computing the longitude of the sun. CORR */
/* may be any of the following. */
/* 'NONE' Apply no correction. */
/* 'LT' Correct the position of the sun, */
/* relative to the central body, for */
/* planetary (light time) aberration. */
/* 'LT+S' Correct the position of the sun, */
/* relative to the central body, for */
/* planetary and stellar aberrations. */
/* $ Detailed_Output */
/* The function returns the value of L_s for the specified body */
/* at the specified time. This is the longitude of the Sun, */
/* relative to the central body, in a right-handed frame whose */
/* basis vectors are defined as follows: */
/* - The positive Z direction is given by the instantaneous */
/* angular velocity vector of the orbit of the body about */
/* the sun. */
/* - The positive X direction is that of the cross product of the */
/* instantaneous north spin axis of the body with the positive */
/* Z direction. */
/* - The positive Y direction is Z x X. */
/* Units are radians; the range is -pi to pi. Longitudes are */
/* positive east. */
/* $ Parameters */
/* None. */
/* $ Exceptions */
/* 1) If no SPK (ephemeris) file has been loaded prior to calling */
/* this routine, or if the SPK data has insufficient coverage, an */
/* error will be diagnosed and signaled by a routine in the call */
/* tree of this routine. */
/* 2) If a PCK file containing rotational elements for the central */
/* body has not been loaded prior to calling this routine, an */
/* error will be diagnosed and signaled by a routine called by a */
/* routine in the call tree of this routine. */
/* 3) If the instantaneous angular velocity and spin axis of BODY */
/* are parallel, the return value is unspecified. */
/* $ Files */
/* 1) An SPK file (or file) containing ephemeris data sufficient to */
/* compute the geometric state of the central body relative to */
/* the sun at ET must be loaded before this routine is called. If */
/* light time correction is used, data must be available that */
/* enable computation of the state the sun relative to the solar */
/* system barycenter at the light-time corrected epoch. If */
/* stellar aberration correction is used, data must be available */
/* that enable computation of the state the central body relative */
/* to the solar system barycenter at ET. */
/* 2) A PCK file containing rotational elements for the central body */
/* must be loaded before this routine is called. */
/* $ Particulars */
/* The direction of the vernal equinox for the central body is */
/* determined from the instantaneous equatorial and orbital planes */
/* of the central body. This equinox definition is specified in */
/* reference [1]. The "instantaneous orbital plane" is interpreted */
/* in this routine as the plane normal to the cross product of the */
/* position and velocity of the central body relative to the sun. */
/* A geometric state is used for this normal vector computation. */
/* The "instantaneous equatorial plane" is that normal to the */
/* central body's north pole at the requested epoch. The pole */
/* direction is determined from rotational elements loaded via */
/* a PCK file. */
/* The result returned by this routine will depend on the */
/* ephemeris data and rotational elements used. The result may */
/* differ from that given in any particular version of the */
/* Astronomical Almanac, due to differences in these input data, */
/* and due to differences in precision of the computations. */
/* $ Examples */
/* 1) A simple program that computes L_s for Mars. The geometric */
/* state of the sun is used. */
/* PROGRAM MARS_LS */
/* IMPLICIT NONE */
/* DOUBLE PRECISION DPR */
/* INTEGER FILSIZ */
/* PARAMETER ( FILSIZ = 255 ) */
/* CHARACTER*(FILSIZ) PCK */
/* CHARACTER*(FILSIZ) SPK */
/* CHARACTER*(FILSIZ) LEAP */
/* CHARACTER*(30) UTC */
/* CHARACTER*(15) CORR */
/* DOUBLE PRECISION ET */
/* DOUBLE PRECISION LONG */
/* DOUBLE PRECISION LS */
/* INTEGER BODY */
/* INTEGER HANDLE */
/* DATA BODY / 499 / */
/* DATA CORR / 'NONE' / */
/* CALL PROMPT ( 'Enter name of leapseconds kernel > ', LEAP ) */
/* CALL PROMPT ( 'Enter name of PCK file > ', PCK ) */
/* CALL PROMPT ( 'Enter name of SPK file > ', SPK ) */
/* CALL FURNSH ( LEAP ) */
/* CALL FURNSH ( PCK ) */
/* CALL FURNSH ( SPK ) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Kernels have been loaded.' */
/* WRITE (*,*) ' ' */
/* DO WHILE ( .TRUE. ) */
/* CALL PROMPT ( 'Enter UTC time > ', UTC ) */
/* CALL UTC2ET ( UTC, ET ) */
/* C */
/* C Convert longitude to degrees and move it into the range */
/* C [0, 360). */
/* C */
/* LONG = DPR() * LS ( BODY, ET, CORR ) */
/* IF ( LONG .LT. 0.D0 ) THEN */
/* LONG = LONG + 360.D0 */
/* END IF */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Mars L_s (deg.) = ', LONG */
/* WRITE (*,*) ' ' */
/* END DO */
/* END */
/* $ Restrictions */
/* None. */
/* $ Literature_References */
/* [1] "The Astronomical Almanac for the Year 2005." U.S. Government */
/* Printing Office, Washington, D.C., 1984, page L9. */
/* $ Author_and_Institution */
/* N.J. Bachman (JPL) */
/* $ Version */
/* - Chronos Version 1.1.2, 02-OCT-2006 (BVS) */
/* Replaced LDPOOL and SPKELF with FURNSH in the Examples */
/* section. */
/* - Chronos Version 1.1.1, 07-JAN-2005 (NJB) */
/* Description of reference frame in Detailed_Output header */
/* section was corrected. Miscellaneous other header updates */
/* were made. */
/* - Beta Version 1.1.0, 14-DEC-1996 (NJB) */
/* -& */
/* SPICELIB functions */
/* Local parameters */
/* Local variables */
/* Standard SPICE error handling. */
if (return_()) {
ret_val = 0.;
return ret_val;
} else {
chkin_("LS", (ftnlen)2);
}
/* Look up the direction of the North pole of the central body. */
tipbod_("J2000", body, et, tipm, (ftnlen)5);
for (i__ = 1; i__ <= 3; ++i__) {
npole[(i__1 = i__ - 1) < 3 && 0 <= i__1 ? i__1 : s_rnge("npole", i__1,
"ls_", (ftnlen)302)] = tipm[(i__2 = i__ * 3 - 1) < 9 && 0 <=
i__2 ? i__2 : s_rnge("tipm", i__2, "ls_", (ftnlen)302)];
}
/* Get the geometric state of the body relative to the sun. */
spkez_(body, et, "J2000", "NONE", &c__10, state, <, (ftnlen)5, (ftnlen)
4);
/* Get the unit direction vector parallel to the angular velocity */
/* vector of the orbit. This is just the unitized cross product of */
/* position and velocity. */
ucrss_(state, &state[3], uavel);
/* We want to form a transformation matrix that maps vectors from */
/* basis REF to the following frame: */
/* Z = UAVEL */
/* X = NPOLE x UAVEL */
/* Y = Z x X */
/* We'll find the position of the Sun relative to this frame. In */
/* our computations, we want our basis vectors to have unit length. */
vequ_(uavel, z__);
ucrss_(npole, z__, x);
ucrss_(z__, x, y);
for (i__ = 1; i__ <= 3; ++i__) {
trans[(i__1 = i__ * 3 - 3) < 9 && 0 <= i__1 ? i__1 : s_rnge("trans",
i__1, "ls_", (ftnlen)335)] = x[(i__2 = i__ - 1) < 3 && 0 <=
i__2 ? i__2 : s_rnge("x", i__2, "ls_", (ftnlen)335)];
trans[(i__1 = i__ * 3 - 2) < 9 && 0 <= i__1 ? i__1 : s_rnge("trans",
i__1, "ls_", (ftnlen)336)] = y[(i__2 = i__ - 1) < 3 && 0 <=
i__2 ? i__2 : s_rnge("y", i__2, "ls_", (ftnlen)336)];
trans[(i__1 = i__ * 3 - 1) < 9 && 0 <= i__1 ? i__1 : s_rnge("trans",
i__1, "ls_", (ftnlen)337)] = z__[(i__2 = i__ - 1) < 3 && 0 <=
i__2 ? i__2 : s_rnge("z", i__2, "ls_", (ftnlen)337)];
}
/* Get the state of the sun in frame REF. Since we may be using */
/* aberration corrections, this is not necessarily the negative of */
/* the state we've just found. */
spkez_(&c__10, et, "J2000", corr, body, state, <, (ftnlen)5, corr_len);
/* Now transform the position of the Sun into the "equator and */
/* equinox" frame. */
mxv_(trans, state, pos);
/* Let RECLAT find the longitude LS for us. */
reclat_(pos, &radius, &ret_val, &lat);
chkout_("LS", (ftnlen)2);
return ret_val;
} /* ls_ */
/* $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 XFMSTA ( Transform state between coordinate systems) */
/* Subroutine */ int xfmsta_(doublereal *istate, char *icosys, char *ocosys,
char *body, doublereal *ostate, ftnlen icosys_len, ftnlen ocosys_len,
ftnlen body_len)
{
/* Initialized data */
static char cosys[40*6] = "RECTANGULAR "
"CYLINDRICAL " "LATITUDINAL "
" " "SPHERICAL "
"GEODETIC " "PLANETOGRAPHIC "
" ";
static logical first = TRUE_;
/* System generated locals */
integer i__1, i__2;
doublereal d__1, d__2;
/* Builtin functions */
double sqrt(doublereal);
integer s_rnge(char *, integer, char *, integer);
/* Local variables */
extern /* Subroutine */ int zzbods2c_(integer *, char *, integer *,
logical *, char *, integer *, logical *, ftnlen, ftnlen);
doublereal ivel[3], ipos[3];
extern /* Subroutine */ int vequ_(doublereal *, doublereal *);
integer isys, osys;
doublereal f;
extern /* Subroutine */ int zzctruin_(integer *);
integer i__, j;
doublereal radii[3];
extern /* Subroutine */ int chkin_(char *, ftnlen), errch_(char *, char *,
ftnlen, ftnlen), vpack_(doublereal *, doublereal *, doublereal *,
doublereal *);
extern doublereal dpmax_(void);
logical found;
extern /* Subroutine */ int errdp_(char *, doublereal *, ftnlen), vequg_(
doublereal *, integer *, doublereal *);
doublereal sqtmp;
char isysu[40], osysu[40];
static logical svfnd1;
static integer svctr1[2];
extern logical failed_(void);
doublereal jacobi[9] /* was [3][3] */;
extern /* Subroutine */ int bodvcd_(integer *, char *, integer *, integer
*, doublereal *, ftnlen), georec_(doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *), drdgeo_(
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *), recgeo_(doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *), dgeodr_(
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *);
integer bodyid;
extern integer isrchc_(char *, integer *, char *, ftnlen, ftnlen);
static integer svbdid;
extern /* Subroutine */ int latrec_(doublereal *, doublereal *,
doublereal *, doublereal *), drdlat_(doublereal *, doublereal *,
doublereal *, doublereal *), cylrec_(doublereal *, doublereal *,
doublereal *, doublereal *), drdcyl_(doublereal *, doublereal *,
doublereal *, doublereal *);
doublereal toobig;
extern /* Subroutine */ int sphrec_(doublereal *, doublereal *,
doublereal *, doublereal *), drdsph_(doublereal *, doublereal *,
doublereal *, doublereal *), pgrrec_(char *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, ftnlen), drdpgr_(char *, doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *, ftnlen),
reccyl_(doublereal *, doublereal *, doublereal *, doublereal *),
reclat_(doublereal *, doublereal *, doublereal *, doublereal *),
sigerr_(char *, ftnlen), recsph_(doublereal *, doublereal *,
doublereal *, doublereal *), chkout_(char *, ftnlen), recpgr_(
char *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *, ftnlen), dcyldr_(doublereal *,
doublereal *, doublereal *, doublereal *), dlatdr_(doublereal *,
doublereal *, doublereal *, doublereal *), ljucrs_(integer *,
char *, char *, ftnlen, ftnlen), setmsg_(char *, ftnlen), dsphdr_(
doublereal *, doublereal *, doublereal *, doublereal *);
static char svbody[36];
extern /* Subroutine */ int dpgrdr_(char *, doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *, ftnlen);
extern logical return_(void);
integer dim;
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
/* $ Abstract */
/* Transform a state between coordinate systems. */
/* $ 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 */
/* CONVERSION */
/* COORDINATE */
/* EPHEMERIS */
/* STATE */
/* $ Declarations */
/* $ 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 */
/* -------- --- ------------------------------------------------- */
/* ISTATE I Input state. */
/* ICOSYS I Current (input) coordinate system. */
/* OCOSYS I Desired (output) coordinate system. */
/* BODY I Name or NAIF ID of body with which */
/* coordinates are associated (if applicable). */
/* OSTATE O Converted output state. */
/* $ Detailed_Input */
/* ISTATE is a state vector in the input (ICOSYS) coordinate */
/* system representing position and velocity. */
/* All angular measurements must be in radians. */
/* Note: body radii values taken from the kernel */
/* pool are used when converting to or from geodetic or */
/* planetographic coordinates. It is the user's */
/* responsibility to verify the distance inputs are in */
/* the same units as the radii in the kernel pool, */
/* typically kilometers. */
/* ICOSYS is the name of the coordinate system that the input */
/* state vector (ISTATE) is currently in. */
/* ICOSYS may be any of the following: */
/* 'RECTANGULAR' */
/* 'CYLINDRICAL' */
/* 'LATITUDINAL' */
/* 'SPHERICAL' */
/* 'GEODETIC' */
/* 'PLANETOGRAPHIC' */
/* Leading spaces, trailing spaces, and letter case */
/* are ignored. For example, ' cyLindRical ' would be */
/* accepted. */
/* OCOSYS is the name of the coordinate system that the state */
/* should be converted to. */
/* Please see the description of ICOSYS for details. */
/* BODY is the name or NAIF ID of the body associated with the */
/* planetographic or geodetic coordinate system. */
/* If neither of the coordinate system choices are */
/* geodetic or planetographic, BODY may be an empty */
/* string (' '). */
/* Examples of accepted body names or IDs are: */
/* 'Earth' */
/* '399' */
/* Leading spaces, trailing spaces, and letter case are */
/* ignored. */
/* $ Detailed_Output */
/* OSTATE is the state vector that has been converted to the */
/* output coordinate system (OCOSYS). */
/* $ Parameters */
/* None. */
/* $ Exceptions */
/* 1) If either the input or output coordinate system is not */
/* recognized, the error SPICE(COORDSYSNOTREC) is signaled. */
/* 2) If the input body name cannot be converted to a NAIF ID */
/* (applies to geodetic and planetographic coordinate */
/* systems), the error 'SPICE(IDCODENOTFOUND)' is signaled. */
/* 3) If the input state ISTATE is not valid, meaning the position */
/* but not the velocity is along the z-axis, the error */
/* 'SPICE(INVALIDSTATE)' is signaled. */
/* Note: If both the input position and velocity are along */
/* the z-axis and the output coordinate system is not */
/* rectangular, the velocity can still be calculated even */
/* though the Jacobian is undefined. This case will not */
/* signal an error. An example of the input position and */
/* velocity along the z-axis is below. */
/* Term Value */
/* ----- ------ */
/* x 0 */
/* y 0 */
/* z z */
/* dx/dt 0 */
/* dy/dt 0 */
/* dz/dt dz_dt */
/* 4) If either the input or output coordinate system is */
/* geodetic or planetographic and at least one of the body's */
/* radii is less than or equal to zero, the error */
/* SPICE(INVALIDRADIUS) will be signaled. */
/* 5) If either the input or output coordinate system is */
/* geodetic or planetographic and the difference of the */
/* equatorial and polar radii divided by the equatorial radius */
/* would produce numeric overflow, the error */
/* 'SPICE(INVALIDRADIUS)' will be signaled. */
/* 6) If the product of the Jacobian and velocity components */
/* may lead to numeric overflow, the error */
/* 'SPICE(NUMERICOVERFLOW)' is signaled. */
/* $ Files */
/* SPK, PCK, CK, and FK kernels may be required. */
/* If the input or output coordinate systems are either geodetic or */
/* planetographic, a PCK providing the radii of the body */
/* name BODY must be loaded via FURNSH. */
/* Kernel data are normally loaded once per program run, NOT every */
/* time this routine is called. */
/* $ Particulars */
/* Input Order */
/* ------------------------------------------- */
/* The input and output states will be structured by the */
/* following descriptions. */
/* For rectangular coordinates, the state vector is the following */
/* in which X, Y, and Z are the rectangular position components and */
/* DX, DY, and DZ are the time derivatives of each position */
/* component. */
/* ISTATE = ( X, Y, Z, DX, DY, DZ ) */
/* For cylindrical coordinates, the state vector is the following */
/* in which R is the radius, LONG is the longitudes, Z is the */
/* height, and DR, DLONG, and DZ are the time derivatives of each */
/* position component. */
/* ISTATE = ( R, LONG, Z, DR, DLONG, DZ ) */
/* For latitudinal coordinates, the state vector is the following */
/* in which R is the radius, LONG is the longitude, LAT is the */
/* latitude, and DR, DLONG, and DLAT are the time derivatives of */
/* each position component. */
/* ISTATE = ( R, LONG, LAT, DR, DLONG, DLAT ) */
/* For spherical coordinates, the state vector is the following in */
/* which R is the radius, COLAT is the colatitude, LONG is the */
/* longitude, and DR, DCOLAT, and DLONG are the time derivatives of */
/* each position component. */
/* ISTATE = ( R, COLAT, LONG, DR, DCOLAT, DLONG ) */
/* For geodetic coordinates, the state vector is the following in */
/* which LONG is the longitude, LAT is the latitude, ALT is the */
/* altitude, and DLONG, DLAT, and DALT are the time derivatives of */
/* each position component. */
/* ISTATE = ( LONG, LAT, ALT, DLONG, DLAT, DALT ) */
/* For planetographic coordinates, the state vector is the */
/* following in which LONG is the longitude, LAT is the latitude, */
/* ALT is the altitude, and DLONG, DLAT, and DALT are the time */
/* derivatives of each position component. */
/* ISTATE = ( LONG, LAT, ALT, DLONG, DLAT, DALT ) */
/* Input Boundaries */
/* ------------------------------------------- */
/* There are intervals the input angles must fall within if */
/* the input coordinate system is not rectangular. These */
/* intervals are provided below. */
/* Input variable Input meaning Input interval [rad] */
/* -------------- ------------- ------------------------ */
/* LONG Longitude 0 <= LONG < 2*pi */
/* LAT Latitude -pi/2 <= LAT <= pi/2 */
/* COLAT Colatitude 0 <= COLAT <= pi */
/* $ Examples */
/* The numerical results shown for these examples 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) Find the apparent state of Phoebe as seen by CASSINI in the */
/* J2000 frame at 2004 Jun 11 19:32:00. Transform the state */
/* from rectangular to latitudinal coordinates. For verification, */
/* transform the state back from latitudinal to rectangular */
/* coordinates. */
/* Use the meta-kernel shown below to load the required SPICE */
/* kernels. */
/* KPL/MK */
/* File name: xfmsta_ex1.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. */
/* The names and contents of the kernels referenced */
/* by this meta-kernel are as follows: */
/* File name Contents */
/* --------- -------- */
/* cpck05Mar2004.tpc Planet orientation and */
/* radii */
/* naif0009.tls Leapseconds */
/* 020514_SE_SAT105.bsp Satellite ephemeris for */
/* Saturn */
/* 030201AP_SK_SM546_T45.bsp CASSINI ephemeris */
/* 981005_PLTEPH-DE405S.bsp Planetary ephemeris */
/* \begindata */
/* KERNELS_TO_LOAD = ( 'naif0009.tls' , */
/* '020514_SE_SAT105.bsp' , */
/* '030201AP_SK_SM546_T45.bsp' , */
/* '981005_PLTEPH-DE405S.bsp', */
/* 'cpck05Mar2004.tpc' ) */
/* End of meta-kernel */
/* Example code begins here. */
/* PROGRAM EX1_XFMSTA */
/* IMPLICIT NONE */
/* C */
/* C Local parameters */
/* C */
/* C METAKR is the meta-kernel's filename. */
/* C */
/* CHARACTER*(*) METAKR */
/* PARAMETER ( METAKR = 'xfmsta_ex1.tm' ) */
/* CHARACTER*(*) FORM */
/* PARAMETER ( FORM = '(F16.6, F16.6, F16.6)' ) */
/* C */
/* C Local variables */
/* C */
/* C STAREC is the state of Phoebe with respect to CASSINI in */
/* C rectangular coordinates. STALAT is the state rotated into */
/* C latitudinal coordinates. STREC2 is the state transformed */
/* C back into rectangular coordinates from latitudinal. */
/* C */
/* DOUBLE PRECISION STAREC (6) */
/* DOUBLE PRECISION STALAT (6) */
/* DOUBLE PRECISION STREC2 (6) */
/* C */
/* C ET is the ephemeris time (TDB) corresponding to the */
/* C observation. */
/* C */
/* DOUBLE PRECISION ET */
/* DOUBLE PRECISION LT */
/* INTEGER I */
/* C */
/* C The required kernels must be loaded. */
/* C */
/* CALL FURNSH ( METAKR ) */
/* C */
/* C Calculate the state at 2004 Jun 11 19:32:00 UTC. */
/* C */
/* CALL STR2ET ( '2004-JUN-11-19:32:00', ET ) */
/* C */
/* C Calculate the apparent state of Phoebe as seen by */
/* C CASSINI in the J2000 frame. */
/* C */
/* CALL SPKEZR ( 'PHOEBE', ET, 'IAU_PHOEBE', 'LT+S', */
/* . 'CASSINI', STAREC, LT ) */
/* C */
/* C Transform the state from rectangular to latitudinal. */
/* C Notice that since neither the input nor output */
/* C coordinate frames are 'geodetic' or 'planetographic', */
/* C the input for the body name is a blank string. */
/* C */
/* CALL XFMSTA ( STAREC, 'RECTANGULAR', 'LATITUDINAL', ' ', */
/* . STALAT ) */
/* C */
/* C Transform the state back to rectangular from latitudinal */
/* C for verification. This result should be very similar to */
/* C STAREC. */
/* C */
/* CALL XFMSTA ( STALAT, 'LATITUDINAL', 'RECTANGULAR',' ', */
/* . STREC2 ) */
/* C */
/* C Report the results. */
/* C */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Phoebe as seen by CASSINI - rectangular' */
/* WRITE (*,*) ' Position [km]:' */
/* WRITE (*,FORM) (STAREC(I), I = 1, 3) */
/* WRITE (*,*) ' Velocity [km/s]:' */
/* WRITE (*,FORM) (STAREC(I), I = 4, 6) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Phoebe as seen by CASSINI - latitudinal' */
/* WRITE (*,*) ' Position [km, rad, rad]:' */
/* WRITE (*,FORM) (STALAT(I), I = 1, 3) */
/* WRITE (*,*) ' Velocity [km/s, rad/s, rad/s]:' */
/* WRITE (*,FORM) (STALAT(I), I = 4, 6) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Verification: ' */
/* WRITE (*,*) 'Phoebe as seen by CASSINI - rectangular' */
/* WRITE (*,*) ' Position [km]:' */
/* WRITE (*,FORM) (STREC2(I), I = 1, 3) */
/* WRITE (*,*) ' Velocity [km/s]:' */
/* WRITE (*,FORM) (STREC2(I), I = 4, 6) */
/* END */
/* When this program was executed using gfortran on a PC Linux */
/* 64 bit environment, the output was: */
/* Phoebe as seen by CASSINI - rectangular */
/* Position [km]: */
/* -1982.639762 -934.530471 -166.562595 */
/* Velocity [km/s]: */
/* 3.970832 -3.812496 -2.371663 */
/* Phoebe as seen by CASSINI - latitudinal */
/* Position [km, rad, rad]: */
/* 2198.169858 -2.701121 -0.075846 */
/* Velocity [km/s, rad/s, rad/s]: */
/* -1.780939 0.002346 -0.001144 */
/* Verification: */
/* Phoebe as seen by CASSINI - rectangular */
/* Position [km]: */
/* -1982.639762 -934.530471 -166.562595 */
/* Velocity [km/s]: */
/* 3.970832 -3.812496 -2.371663 */
/* 2) Transform a given state from cylindrical to planetographic */
/* coordinates with respect to Earth. */
/* Use the meta-kernel shown below to load the required SPICE */
/* kernels. */
/* KPL/MK */
/* File name: xfmsta_ex2.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. */
/* The names and contents of the kernels referenced */
/* by this meta-kernel are as follows: */
/* File name Contents */
/* --------- -------- */
/* cpck05Mar2004.tpc Planet orientation and */
/* radii */
/* \begindata */
/* KERNELS_TO_LOAD = ( 'cpck05Mar2004.tpc' ) */
/* \begintext */
/* End of meta-kernel */
/* Example code begins here. */
/* PROGRAM EX2_XFMSTA */
/* IMPLICIT NONE */
/* C */
/* C Local parameters */
/* C */
/* C METAKR is the meta-kernel's filename. */
/* C */
/* CHARACTER*(*) METAKR */
/* PARAMETER ( METAKR = 'xfmsta_ex2.tm' ) */
/* CHARACTER*(*) FORM */
/* PARAMETER ( FORM = '(F16.6, F16.6, F16.6)' ) */
/* C */
/* C Local variables */
/* C */
/* C STACYL is the state in cylindrical coordinates. */
/* C */
/* DOUBLE PRECISION STACYL (6) */
/* C */
/* C STAPLN is the state transformed into planetographic */
/* C coordinates. */
/* C */
/* DOUBLE PRECISION STAPLN (6) */
/* C */
/* C STCYL2 is the state transformed back into */
/* C cylindrical coordinates from planetographic. */
/* C */
/* DOUBLE PRECISION STCYL2 (6) */
/* INTEGER I */
/* DATA STACYL / 1.0D0, 0.5D0, 0.5D0, 0.2D0, 0.1D0, -0.2D0 / */
/* C */
/* C The required kernels must be loaded. */
/* C */
/* CALL FURNSH ( METAKR ) */
/* C */
/* C Transform the state from cylindrical to planetographic. */
/* C Note that since one of the coordinate systems is */
/* C planetographic, the body name must be input. */
/* C */
/* CALL XFMSTA ( STACYL, 'CYLINDRICAL', 'PLANETOGRAPHIC', */
/* . 'EARTH', STAPLN ) */
/* C */
/* C Transform the state back to cylindrical from */
/* C planetographic for verification. The result should be very */
/* C close to STACYL. */
/* C */
/* CALL XFMSTA ( STAPLN, 'PLANETOGRAPHIC', 'CYLINDRICAL', */
/* . 'EARTH', STCYL2 ) */
/* C */
/* C Report the results. */
/* C */
/* WRITE (*,*) 'Cylindrical state' */
/* WRITE (*,*) ' Position [km, rad, km]:' */
/* WRITE (*,FORM) (STACYL(I), I = 1, 3) */
/* WRITE (*,*) ' Velocity [km/s, rad/s, km/s]:' */
/* WRITE (*,FORM) (STACYL(I), I = 4, 6) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Planetographic state' */
/* WRITE (*,*) ' Position [rad, rad, km]:' */
/* WRITE (*,FORM) (STAPLN(I), I = 1, 3) */
/* WRITE (*,*) ' Velocity [rad/s, rad/s, km/s]:' */
/* WRITE (*,FORM) (STAPLN(I), I = 4, 6) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Verification: Cylindrical state' */
/* WRITE (*,*) ' Position [km, rad, km]:' */
/* WRITE (*,FORM) (STCYL2(I), I = 1, 3) */
/* WRITE (*,*) ' Velocity [km/s, rad/s, km/s]:' */
/* WRITE (*,FORM) (STCYL2(I), I = 4, 6) */
/* END */
/* When this program was executed using gfortran on a PC Linux */
/* 64 bit environment, the output was: */
/* Cylindrical state */
/* Position [km, rad, km]: */
/* 1.000000 0.500000 0.500000 */
/* Velocity [km/s, rad/s, km/s]: */
/* 0.200000 0.100000 -0.200000 */
/* Planetographic state */
/* Position [rad, rad, km]: */
/* 0.500000 1.547727 -6356.238467 */
/* Velocity [rad/s, rad/s, km/s]: */
/* 0.100000 -0.004721 -0.195333 */
/* Verification: Cylindrical state */
/* Position [km, rad, km]: */
/* 1.000000 0.500000 0.500000 */
/* Velocity [km/s, rad/s, km/s]: */
/* 0.200000 0.100000 -0.200000 */
/* $ Restrictions */
/* None. */
/* $ Literature_References */
/* None. */
/* $ Author_and_Institution */
/* S.C. Krening (JPL) */
/* B.V. Semenov (JPL) */
/* $ Version */
/* - SPICELIB Version 1.0.0 22-APR-2014 (SCK)(BVS) */
/* -& */
/* $ Index_Entries */
/* state transformation between coordinate systems */
/* convert state */
/* -& */
/* SPICELIB functions */
/* Local parameters */
/* Potentially large numbers produced by transforming the */
/* velocity using the Jacobian must not exceed DPMAX()/MARGIN: */
/* The size of each coordinate system name must not exceed */
/* CHSIZ characters. */
/* NCOSYS is the number of coordinate systems supported by */
/* this routine. */
/* The following integer parameters represent the coordinate */
/* systems supported by this routine. */
/* Saved body name length. */
/* Local variables */
/* COSYS is the array of supported coordinate system names. */
/* ISYSU and OSYSU are the input and output coordinate systems */
/* from the user that are made insensitive to case or leading and */
/* trailing spaces. */
/* IPOS and IVEL are the input position and velocity translated */
/* into rectangular. */
/* For transformations including either geodetic or planetographic */
/* coordinate systems, RADII is an array of the radii values */
/* associated with the input body. These values will be loaded */
/* from the kernel pool. */
/* JACOBI is the Jacobian matrix that converts the velocity */
/* coordinates between systems. */
/* The flattening coefficient, F, is calculated when either */
/* geodetic or planetographic coordinate systems are included */
/* in the transformation. */
/* SQTMP and TOOBIG are used to check for possible numeric */
/* overflow situations. */
/* BODYID and DIM are only used when the input or output coordinate */
/* systems are geodetic or planetographic. The BODYID is the NAID ID */
/* associated with the input body name. DIM is used while retrieving */
/* the radii from the kernel pool. */
/* ISYS and OSYS are the integer codes corresponding to the */
/* input and output coordinate systems. I and J are iterators. */
/* Saved name/ID item declarations. */
/* Saved variables */
/* Saved name/ID items. */
/* Assign the names of the coordinate systems to a character */
/* array in which each coordinate system name is located at */
/* the index of the integer ID of the coordinate system. */
/* Initial values. */
/* There are three main sections of this routine: */
/* 1) Error handling and initialization. */
/* 2) Conversion of the input to rectangular coordinates. */
/* 3) Conversion from rectangular to the output coordinates. */
/* Error handling and initialization */
/* ---------------------------------------------------------------- */
/* Standard SPICE error handling. */
if (return_()) {
return 0;
}
chkin_("XFMSTA", (ftnlen)6);
/* Initialization. */
if (first) {
/* Initialize counter. */
zzctruin_(svctr1);
first = FALSE_;
}
/* Remove initial and trailing spaces. */
/* Convert the input coordinate systems to upper case. */
ljucrs_(&c__0, icosys, isysu, icosys_len, (ftnlen)40);
ljucrs_(&c__0, ocosys, osysu, ocosys_len, (ftnlen)40);
/* Check to see if the input and output coordinate systems */
/* provided by the user are acceptable. Store the integer */
/* code of the input and output coordinate systems into */
/* ISYS and OSYS. */
isys = isrchc_(isysu, &c__6, cosys, (ftnlen)40, (ftnlen)40);
osys = isrchc_(osysu, &c__6, cosys, (ftnlen)40, (ftnlen)40);
/* If the coordinate systems are not acceptable, an error is */
/* signaled. */
if (isys == 0 || osys == 0) {
if (isys == 0 && osys == 0) {
/* Both the input and the output coordinate systems were not */
/* recognized. */
setmsg_("Input coordinate system # and output coordinate system "
"# are not recognized.", (ftnlen)76);
errch_("#", icosys, (ftnlen)1, icosys_len);
errch_("#", ocosys, (ftnlen)1, ocosys_len);
sigerr_("SPICE(COORDSYSNOTREC)", (ftnlen)21);
chkout_("XFMSTA", (ftnlen)6);
return 0;
} else if (isys == 0) {
/* The input coordinate system was not recognized. */
setmsg_("Input coordinate system # was not recognized", (ftnlen)
44);
errch_("#", icosys, (ftnlen)1, icosys_len);
sigerr_("SPICE(COORDSYSNOTREC)", (ftnlen)21);
chkout_("XFMSTA", (ftnlen)6);
return 0;
} else {
/* The output coordinate system was not recognized. */
setmsg_("Output coordinate system # was not recognized", (ftnlen)
45);
errch_("#", ocosys, (ftnlen)1, ocosys_len);
sigerr_("SPICE(COORDSYSNOTREC)", (ftnlen)21);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
}
/* If the input and output coordinate systems are equal, set the */
/* output equal to the input since no conversion needs to take */
/* place. */
if (isys == osys) {
vequg_(istate, &c__6, ostate);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* If converting to or from either geodetic or planetographic, the */
/* NAIF ID must be found from the input body name BODY. If the */
/* body name does not have a valid NAIF ID code, an error is */
/* signaled. If the NAIF ID is valid, the radii of the body are */
/* located and the flattening coefficient is calculated. */
if (osys == 5 || osys == 6 || isys == 5 || isys == 6) {
/* Find the NAIF ID code */
zzbods2c_(svctr1, svbody, &svbdid, &svfnd1, body, &bodyid, &found, (
ftnlen)36, body_len);
/* If the body's name was found, find the body's radii and */
/* compute flattening coefficient. Otherwise, signal an error. */
if (found) {
bodvcd_(&bodyid, "RADII", &c__3, &dim, radii, (ftnlen)5);
if (failed_()) {
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* If either radius is less than or equal to zero, an error is */
/* signaled. */
if (radii[2] <= 0. || radii[0] <= 0.) {
setmsg_("At least one radii is less than or equal to zero. T"
"he equatorial radius has a value of # and the polar "
"radius has has a value of #.", (ftnlen)131);
errdp_("#", radii, (ftnlen)1);
errdp_("#", &radii[2], (ftnlen)1);
sigerr_("SPICE(INVALIDRADIUS)", (ftnlen)20);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* If the difference of the equatorial and polar radii */
/* divided by the equatorial radius is greater than DPMAX, */
/* a numeric overflow may occur, so an error is signaled. */
if (sqrt((d__1 = radii[0] - radii[2], abs(d__1))) / sqrt((abs(
radii[0]))) >= sqrt(dpmax_())) {
setmsg_("The equatorial radius for # has a value of # and a "
"polar radius of #. The flattening coefficient cannot"
" be calculated due to numeric overflow.", (ftnlen)142)
;
errch_("#", body, (ftnlen)1, body_len);
errdp_("#", radii, (ftnlen)1);
errdp_("#", &radii[2], (ftnlen)1);
sigerr_("SPICE(INVALIDRADIUS)", (ftnlen)20);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
f = (radii[0] - radii[2]) / radii[0];
} else {
setmsg_("The input body name # does not have a valid NAIF ID cod"
"e.", (ftnlen)57);
errch_("#", body, (ftnlen)1, body_len);
sigerr_("SPICE(IDCODENOTFOUND)", (ftnlen)21);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
}
/* Conversion of the input to rectangular coordinates */
/* ---------------------------------------------------------------- */
/* First, the position and velocity coordinates will be converted */
/* into rectangular coordinates. If the input system is not */
/* rectangular, then the velocity coordinates must be translated */
/* into rectangular using the Jacobian. If the input system is */
/* rectangular, then the input state must simply be saved into IPOS */
/* and IVEL. */
/* TOOBIG is used for preventing numerical overflow. The square */
/* roots of values are used to safely check if overflow will occur. */
toobig = sqrt(dpmax_() / 100.);
if (isys != 1) {
/* To rectangular... */
if (isys == 2) {
/* ... from cylindrical */
cylrec_(istate, &istate[1], &istate[2], ipos);
drdcyl_(istate, &istate[1], &istate[2], jacobi);
} else if (isys == 3) {
/* ... from latitudinal */
latrec_(istate, &istate[1], &istate[2], ipos);
drdlat_(istate, &istate[1], &istate[2], jacobi);
} else if (isys == 4) {
/* ... from spherical */
sphrec_(istate, &istate[1], &istate[2], ipos);
drdsph_(istate, &istate[1], &istate[2], jacobi);
} else if (isys == 5) {
/* ... from geodetic */
georec_(istate, &istate[1], &istate[2], radii, &f, ipos);
if (failed_()) {
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
drdgeo_(istate, &istate[1], &istate[2], radii, &f, jacobi);
} else if (isys == 6) {
/* ... from planetographic */
pgrrec_(body, istate, &istate[1], &istate[2], radii, &f, ipos,
body_len);
if (failed_()) {
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
drdpgr_(body, istate, &istate[1], &istate[2], radii, &f, jacobi,
body_len);
} else {
setmsg_("This error should never occur. This is an intermediate "
"step in which a non-rectangular input state should be tr"
"ansferred to rectangular. The input coordinate system i"
"s not recognized, yet was not caught by an earlier check."
, (ftnlen)224);
sigerr_("SPICE(BUG1)", (ftnlen)11);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* Some DRD* routines are not error free. Be safe and check */
/* FAILED to not use un-initialized JACOBI. */
if (failed_()) {
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* If the multiplication of the Jacobian and velocity can cause */
/* overflow, signal an error. */
for (i__ = 1; i__ <= 3; ++i__) {
for (j = 1; j <= 3; ++j) {
sqtmp = sqrt((d__1 = jacobi[(i__1 = i__ + j * 3 - 4) < 9 && 0
<= i__1 ? i__1 : s_rnge("jacobi", i__1, "xfmsta_", (
ftnlen)1054)], abs(d__1))) * sqrt((d__2 = istate[(
i__2 = j + 2) < 6 && 0 <= i__2 ? i__2 : s_rnge("ista"
"te", i__2, "xfmsta_", (ftnlen)1054)], abs(d__2)));
if (sqtmp > toobig) {
setmsg_("The product of the Jacobian and velocity may ca"
"use numeric overflow.", (ftnlen)68);
sigerr_("SPICE(NUMERICOVERFLOW)", (ftnlen)22);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
}
}
/* Transform the velocity into rectangular coordinates. */
mxv_(jacobi, &istate[3], ivel);
} else if (isys == 1) {
/* If the input coordinate system is rectangular, the input */
/* position does not need to be translated into rectangular. */
vequ_(istate, ipos);
vequ_(&istate[3], ivel);
} else {
setmsg_("This error should never occur. This is an ELSE statement. I"
"f the input coordinate system is not rectangular, the IF sho"
"uld be executed. If the input coordinate system is rectangul"
"ar, the ELSE IF should be executed.", (ftnlen)214);
sigerr_("SPICE(BUG2)", (ftnlen)11);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* Conversion from rectangular into the output coordinates */
/* ---------------------------------------------------------------- */
/* Convert to the output coordinate system. If the output */
/* coordinate system is not rectangular, four calculations must */
/* be made: */
/* 1) Verify the position and velocity are not along the z-axis. */
/* If the position and velocity are along the z-axis, the */
/* velocity can still be converted even though the */
/* Jacobian is not defined. If the position is along the */
/* z-axis but the velocity is not, the velocity cannot be */
/* converted to the output coordinate system. */
/* 2) Calculate the Jacobian from rectangular to the output */
/* coordinate system and verify the product of the Jacobian */
/* and velocity will not cause numeric overflow. */
/* 3) Transform the position to the output coordinate system. */
/* 4) Transform the velocity to the output coordinates using */
/* the Jacobian and the rectangular velocity IVEL. */
if (osys != 1) {
/* From rectangular for the case when the input position is along */
/* the z-axis ... */
if (abs(ipos[0]) + abs(ipos[1]) == 0.) {
if (abs(ivel[0]) + abs(ivel[1]) == 0.) {
/* If the velocity is along the z-axis, then the velocity */
/* can be computed in the output coordinate frame even */
/* though the Jacobian is not defined. */
if (osys == 2) {
/* ... to cylindrical */
vpack_(&c_b56, &c_b56, &ivel[2], &ostate[3]);
reccyl_(ipos, ostate, &ostate[1], &ostate[2]);
} else if (osys == 3) {
/* ... to latitudinal */
vpack_(&ivel[2], &c_b56, &c_b56, &ostate[3]);
reclat_(ipos, ostate, &ostate[1], &ostate[2]);
} else if (osys == 4) {
/* ... to spherical */
vpack_(&ivel[2], &c_b56, &c_b56, &ostate[3]);
recsph_(ipos, ostate, &ostate[1], &ostate[2]);
} else if (osys == 5) {
/* ... to geodetic */
vpack_(&c_b56, &c_b56, &ivel[2], &ostate[3]);
recgeo_(ipos, radii, &f, ostate, &ostate[1], &ostate[2]);
} else if (osys == 6) {
/* ... to planetographic */
vpack_(&c_b56, &c_b56, &ivel[2], &ostate[3]);
recpgr_(body, ipos, radii, &f, ostate, &ostate[1], &
ostate[2], body_len);
} else {
setmsg_("This error should never occur. This is an inter"
"mediate step in which a position and velocity al"
"ong the z-axis are converted to a non-rectangula"
"r coordinate system from rectangular. The output"
" coordinate system is not recognized, yet was no"
"t caught by an earlier check.", (ftnlen)268);
sigerr_("SPICE(BUG3)", (ftnlen)11);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* The output state has been calculated for the special */
/* case of the position and velocity existing along the */
/* z-axis. */
chkout_("XFMSTA", (ftnlen)6);
return 0;
} else {
/* The Jacobian is undefined and the velocity cannot be */
/* converted since it is not along the z-axis. */
/* Signal an error. */
setmsg_("Invalid input state: z axis.", (ftnlen)28);
sigerr_("SPICE(INVALIDSTATE)", (ftnlen)19);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
}
/* From rectangular for cases when the input position is not along */
/* the z-axis ... */
if (osys == 2) {
/* ... to cylindrical */
dcyldr_(ipos, &ipos[1], &ipos[2], jacobi);
reccyl_(ipos, ostate, &ostate[1], &ostate[2]);
} else if (osys == 3) {
/* ... to latitudinal */
dlatdr_(ipos, &ipos[1], &ipos[2], jacobi);
reclat_(ipos, ostate, &ostate[1], &ostate[2]);
} else if (osys == 4) {
/* ... to spherical */
dsphdr_(ipos, &ipos[1], &ipos[2], jacobi);
recsph_(ipos, ostate, &ostate[1], &ostate[2]);
} else if (osys == 5) {
/* ... to geodetic */
dgeodr_(ipos, &ipos[1], &ipos[2], radii, &f, jacobi);
recgeo_(ipos, radii, &f, ostate, &ostate[1], &ostate[2]);
} else if (osys == 6) {
/* ... to planetographic */
dpgrdr_(body, ipos, &ipos[1], &ipos[2], radii, &f, jacobi,
body_len);
recpgr_(body, ipos, radii, &f, ostate, &ostate[1], &ostate[2],
body_len);
} else {
setmsg_("This error should never occur. This is an intermediate "
"step in which a state is converted to a non-rectangular "
"coordinate system from rectangular. The output coordinat"
"e system is not recognized, yet was not caught by an ear"
"lier check.", (ftnlen)234);
sigerr_("SPICE(BUG4)", (ftnlen)11);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* Many D*DR and REC* routines are not error free. Be safe and */
/* check FAILED to not use un-initialized JACOBI. */
if (failed_()) {
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
/* If the multiplication of the Jacobian and velocity can cause */
/* overflow, signal an error. */
for (i__ = 1; i__ <= 3; ++i__) {
for (j = 1; j <= 3; ++j) {
sqtmp = sqrt((d__1 = jacobi[(i__1 = i__ + j * 3 - 4) < 9 && 0
<= i__1 ? i__1 : s_rnge("jacobi", i__1, "xfmsta_", (
ftnlen)1314)], abs(d__1))) * sqrt((d__2 = ivel[(i__2 =
j - 1) < 3 && 0 <= i__2 ? i__2 : s_rnge("ivel", i__2,
"xfmsta_", (ftnlen)1314)], abs(d__2)));
if (sqtmp > toobig) {
setmsg_("The product of the Jacobian and velocity may ca"
"use numeric overflow.", (ftnlen)68);
sigerr_("SPICE(NUMERICOVERFLOW)", (ftnlen)22);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
}
}
/* Calculate the velocity in the output coordinate system. */
mxv_(jacobi, ivel, &ostate[3]);
} else if (osys == 1) {
/* If the output coordinate system is rectangular, the position */
/* and velocity components of the output state are set equal to */
/* the rectangular IPOS and IVEL, respectively, because the */
/* components have already been converted to rectangular. */
vequ_(ipos, ostate);
vequ_(ivel, &ostate[3]);
} else {
setmsg_("This error should never occur. This is an ELSE statement. I"
"f the output coordinate system is not rectangular, the IF sh"
"ould be executed. If the output coordinate system is rectang"
"ular, the ELSE IF should be executed.", (ftnlen)216);
sigerr_("SPICE(BUG5)", (ftnlen)11);
chkout_("XFMSTA", (ftnlen)6);
return 0;
}
chkout_("XFMSTA", (ftnlen)6);
return 0;
} /* xfmsta_ */
/* $Procedure ZZSPKZP0 ( S/P Kernel, easy position ) */
/* Subroutine */ int zzspkzp0_(integer *targ, doublereal *et, char *ref, char
*abcorr, integer *obs, doublereal *ptarg, doublereal *lt, ftnlen
ref_len, ftnlen abcorr_len)
{
/* Initialized data */
static logical first = TRUE_;
/* System generated locals */
doublereal d__1;
/* Local variables */
static integer fj2000;
extern /* Subroutine */ int zzrefch0_(integer *, integer *, doublereal *,
doublereal *), zzspkpa0_(integer *, doublereal *, char *,
doublereal *, char *, doublereal *, doublereal *, ftnlen, ftnlen);
static doublereal temp[3], sobs[6];
extern /* Subroutine */ int zzspkgp0_(integer *, doublereal *, char *,
integer *, doublereal *, doublereal *, ftnlen), zzspksb0_(integer
*, doublereal *, char *, doublereal *, ftnlen);
static integer type__;
static logical xmit;
static integer i__;
extern /* Subroutine */ int chkin_(char *, ftnlen);
extern logical eqchr_(char *, char *, ftnlen, ftnlen);
extern /* Subroutine */ int errch_(char *, char *, ftnlen, ftnlen);
static logical found;
extern integer ltrim_(char *, ftnlen);
static doublereal xform[9] /* was [3][3] */;
extern logical eqstr_(char *, char *, ftnlen, ftnlen);
static doublereal postn[3];
extern logical failed_(void);
static integer center;
extern /* Subroutine */ int namfrm_(char *, integer *, ftnlen), frinfo_(
integer *, integer *, integer *, integer *, logical *);
static doublereal ltcent;
extern /* Subroutine */ int sigerr_(char *, ftnlen);
static integer reqfrm, typeid;
extern /* Subroutine */ int chkout_(char *, ftnlen), setmsg_(char *,
ftnlen);
extern logical return_(void);
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
/* $ 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 position of a target body relative to an observing */
/* body, optionally corrected for light time (planetary aberration) */
/* 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 */
/* NAIF_IDS */
/* FRAMES */
/* TIME */
/* $ Keywords */
/* EPHEMERIS */
/* $ Declarations */
/* $ 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 */
/* -------- --- -------------------------------------------------- */
/* TARG I Target body NAIF ID code. */
/* ET I Observer epoch. */
/* REF I Reference frame of output position vector. */
/* ABCORR I Aberration correction flag. */
/* OBS I Observing body NAIF ID code. */
/* PTARG O Position 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 position vector which points */
/* from the observer to the target. */
/* ET is the ephemeris time, expressed as seconds past */
/* J2000 TDB, at which the position of the target body */
/* relative to the observer is to be computed. ET */
/* refers to time at the observer's location. */
/* REF is the name of the reference frame relative to which */
/* the output position vector should be expressed. This */
/* may be any frame supported by the SPICE system, */
/* including built-in frames (documented in the Frames */
/* Required Reading) and frames defined by a loaded */
/* frame kernel (FK). */
/* When REF designates a non-inertial frame, the */
/* orientation of the frame is evaluated at an epoch */
/* dependent on the selected aberration correction. See */
/* the description of the output position vector PTARG */
/* for details. */
/* ABCORR indicates the aberration corrections to be applied to */
/* the position 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 position 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 position 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 */
/* position obtained with the 'LT' option */
/* to account for the observer's velocity */
/* relative to the solar system */
/* barycenter. The result is the apparent */
/* position of the target---the position */
/* 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 */
/* position 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 */
/* position 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 position 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. */
/* OBS is the NAIF ID code for the observing body. */
/* $ Detailed_Output */
/* PTARG is a Cartesian 3-vector representing the position of */
/* the target body relative to the specified observer. */
/* PTARG is corrected for the specified aberrations, and */
/* is expressed with respect to the reference frame */
/* specified by REF. The three components of PTARG */
/* represent the x-, y- and z-components of the target's */
/* position. */
/* PTARG points from the observer's location at ET to */
/* the aberration-corrected location of the target. */
/* Note that the sense of this position vector is */
/* independent of the direction of radiation travel */
/* implied by the aberration correction. */
/* Units are always km. */
/* Non-inertial frames are treated as follows: letting */
/* LTCENT be the one-way light time between the observer */
/* and the central body associated with the frame, the */
/* orientation of the frame is evaluated at ET-LTCENT, */
/* ET+LTCENT, or ET depending on whether the requested */
/* aberration correction is, respectively, for received */
/* radiation, transmitted radiation, or is omitted. */
/* LTCENT is computed using the method indicated by */
/* ABCORR. */
/* LT is the one-way light time between the observer and */
/* target in seconds. If the target position 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 name of target or observer cannot be translated to its */
/* NAIF ID code, the error SPICE(IDCODENOTFOUND) is signaled. */
/* 2) If the reference frame REF is not a recognized reference */
/* frame the error 'SPICE(UNKNOWNFRAME)' is signaled. */
/* 3) If the loaded kernels provide insufficient data to */
/* compute the requested position vector, the deficiency will */
/* be diagnosed by a routine in the call tree of this routine. */
/* 4) If an error occurs while reading an SPK or other kernel file, */
/* the error will be diagnosed by a routine in the call tree */
/* of this routine. */
/* $ Files */
/* This routine computes positions using SPK files that have been */
/* loaded into the SPICE system, normally via the kernel loading */
/* interface routine FURNSH. See the routine FURNSH and the SPK */
/* and KERNEL Required Reading for further information on loading */
/* (and unloading) kernels. */
/* If the output position PTARG is to be expressed relative to a */
/* non-inertial frame, or if any of the ephemeris data used to */
/* compute PTARG 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 position. 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 is part of the user interface to the SPICE ephemeris */
/* system. It allows you to retrieve position information for any */
/* ephemeris object relative to any other in a reference frame that */
/* is convenient for further computations. */
/* Aberration corrections */
/* ====================== */
/* 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. */
/* One-way light time */
/* ------------------ */
/* 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 relative to the solar system barycenter, 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. */
/* Stellar aberration */
/* ------------------ */
/* 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 does not include (the much smaller) */
/* relativistic effects. */
/* 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 also 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. */
/* One may 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': apply both light time and stellar */
/* aberration corrections. */
/* Note that using light time corrections alone ('LT') 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': 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' or 'LT+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 position vector derived directly from */
/* data in an SPK file. */
/* Use 'NONE'. */
/* 5) Use a geometric position vector as a low-accuracy estimate */
/* of the apparent position for an application where execution */
/* speed is critical. */
/* Use 'NONE'. */
/* 6) While this routine cannot perform the relativistic */
/* aberration corrections required to compute positions */
/* with the highest possible accuracy, it can supply the */
/* geometric positions 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 */
/* ============== */
/* ZZSPKZP0 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 position vector is */
/* T(ET) - O(ET) */
/* Reception case */
/* ============== */
/* When any of the options 'LT', 'CN', 'LT+S', 'CN+S' is selected */
/* for ABCORR, ZZSPKZP0 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 */
/* right hand side of the light-time equation (1) yields the */
/* "one-iteration" estimate of the one-way light time ("LT"). */
/* Repeating the process until the estimates of LT converge */
/* yields the "converged Newtonian" light time estimate ("CN"). */
/* 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 light time corrected position vector is */
/* T(ET-LT) - O(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. */
/* Transmission case */
/* ================== */
/* When any of the options 'XLT', 'XCN', 'XLT+S', 'XCN+S' is */
/* selected, ZZSPKZP0 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 light-time corrected position vector is */
/* T(ET+LT) - O(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. */
/* Precision of light time corrections */
/* =================================== */
/* Corrections using one iteration of the light time solution */
/* ---------------------------------------------------------- */
/* When the requested aberration correction is 'LT', 'LT+S', */
/* 'XLT', or 'XLT+S', only one iteration is performed in the */
/* algorithm used to compute LT. */
/* The relative error in this computation */
/* | LT_ACTUAL - LT_COMPUTED | / LT_ACTUAL */
/* is at most */
/* (V/C)**2 */
/* ---------- */
/* 1 - (V/C) */
/* which is well approximated by (V/C)**2, where V is the */
/* velocity of the target relative to an inertial frame and C is */
/* the speed of light. */
/* For nearly all objects in the solar system V is less than 60 */
/* km/sec. The value of C is 300000 km/sec. Thus the one */
/* iteration solution for LT has a potential relative error of */
/* not more than 4*10**-8. This is a potential light time error */
/* of approximately 2*10**-5 seconds per astronomical unit of */
/* distance separating the observer and target. Given the bound */
/* on V cited above: */
/* As long as the observer and target are */
/* separated by less than 50 astronomical units, */
/* the error in the light time returned using */
/* the one-iteration light time corrections */
/* is less than 1 millisecond. */
/* Converged corrections */
/* --------------------- */
/* When the requested aberration correction is 'CN', 'CN+S', */
/* 'XCN', or 'XCN+S', three iterations are performed in the */
/* computation of LT. The relative error present in this */
/* solution is at most */
/* (V/C)**4 */
/* ---------- */
/* 1 - (V/C) */
/* which is well approximated by (V/C)**4. Mathematically the */
/* precision of this computation is better than a nanosecond for */
/* any pair of objects in the solar system. */
/* However, to model the actual light time between target and */
/* observer one must take into account effects due to general */
/* relativity. These may be as high as a few hundredths of a */
/* millisecond for some objects. */
/* When one considers the extra time required to compute the */
/* converged Newtonian light time (the state of the target */
/* relative to the solar system barycenter is looked up three */
/* times instead of once) together with the real gain in */
/* accuracy, it seems unlikely that you will want to request */
/* either the "CN" or "CN+S" light time corrections. However, */
/* these corrections can be useful for testing situations where */
/* high precision (as opposed to accuracy) is required. */
/* Relativistic Corrections */
/* ========================= */
/* This routine does not attempt to perform either general or */
/* special relativistic corrections in computing the various */
/* aberration corrections. For many applications relativistic */
/* corrections are not worth the expense of added computation */
/* cycles. If however, your application requires these additional */
/* corrections we suggest you consult the astronomical almanac (page */
/* B36) for a discussion of how to carry out these corrections. */
/* $ Examples */
/* 1) Load a planetary ephemeris SPK, then look up a series of */
/* geometric positions of the moon relative to the earth, */
/* referenced to the J2000 frame. */
/* IMPLICIT NONE */
/* C */
/* C Local constants */
/* C */
/* CHARACTER*(*) FRAME */
/* PARAMETER ( FRAME = 'J2000' ) */
/* CHARACTER*(*) ABCORR */
/* PARAMETER ( ABCORR = 'NONE' ) */
/* C */
/* C The name of the SPK file shown here is fictitious; */
/* C you must supply the name of an SPK file available */
/* C on your own computer system. */
/* C */
/* CHARACTER*(*) SPK */
/* PARAMETER ( SPK = 'planet.bsp' ) */
/* C */
/* C ET0 represents the date 2000 Jan 1 12:00:00 TDB. */
/* C */
/* DOUBLE PRECISION ET0 */
/* PARAMETER ( ET0 = 0.0D0 ) */
/* C */
/* C Use a time step of 1 hour; look up 100 positions. */
/* C */
/* DOUBLE PRECISION STEP */
/* PARAMETER ( STEP = 3600.0D0 ) */
/* INTEGER MAXITR */
/* PARAMETER ( MAXITR = 100 ) */
/* C */
/* C The NAIF IDs of the earth and moon are 399 and 301 */
/* C respectively. */
/* C */
/* INTEGER OBSRVR */
/* PARAMETER ( OBSRVR = 399 ) */
/* INTEGER TARGET */
/* PARAMETER ( TARGET = 301 ) */
/* C */
/* C Local variables */
/* C */
/* DOUBLE PRECISION ET */
/* DOUBLE PRECISION LT */
/* DOUBLE PRECISION POS ( 3 ) */
/* INTEGER I */
/* C */
/* C Load the SPK file. */
/* C */
/* CALL FURNSH ( SPK ) */
/* C */
/* C Step through a series of epochs, looking up a */
/* C position vector at each one. */
/* C */
/* DO I = 1, MAXITR */
/* ET = ET0 + (I-1)*STEP */
/* CALL ZZSPKZP0 ( TARGET, ET, FRAME, ABCORR, OBSRVR, */
/* . POS, LT ) */
/* WRITE (*,*) 'ET = ', ET */
/* WRITE (*,*) 'J2000 x-position (km): ', POS(1) */
/* WRITE (*,*) 'J2000 y-position (km): ', POS(2) */
/* WRITE (*,*) 'J2000 z-position (km): ', POS(3) */
/* WRITE (*,*) ' ' */
/* END DO */
/* END */
/* $ Restrictions */
/* 1) SPICE Private routine. */
/* $ Literature_References */
/* SPK Required Reading. */
/* $ Author_and_Institution */
/* C.H. Acton (JPL) */
/* B.V. Semenov (JPL) */
/* N.J. Bachman (JPL) */
/* W.L. Taber (JPL) */
/* $ Version */
/* - SPICELIB Version 1.0.0, 05-JAN-2005 (NJB) */
/* Based on SPICELIB Version 3.1.0, 05-JAN-2005 (NJB) */
/* -& */
/* $ Index_Entries */
/* using body names get position relative to an observer */
/* get position relative observer corrected for aberrations */
/* read ephemeris data */
/* read trajectory data */
/* -& */
/* $ Revisions */
/* -& */
/* SPICELIB functions */
/* Local parameters */
/* Local variables */
/* Saved variables */
/* Initial values */
/* Standard SPICE error handling. */
if (return_()) {
return 0;
} else {
chkin_("ZZSPKZP0", (ftnlen)8);
}
/* Get the frame id for J2000 on the first call to this routine. */
if (first) {
first = FALSE_;
namfrm_("J2000", &fj2000, (ftnlen)5);
}
/* Decide whether the aberration correction is for received or */
/* transmitted radiation. */
i__ = ltrim_(abcorr, abcorr_len);
xmit = eqchr_(abcorr + (i__ - 1), "X", (ftnlen)1, (ftnlen)1);
/* If we only want geometric positions, then compute just that. */
/* Otherwise, compute the state of the observer relative to */
/* the SSB. Then feed that position into ZZSPKPA0 to compute the */
/* apparent position of the target body relative to the observer */
/* with the requested aberration corrections. */
if (eqstr_(abcorr, "NONE", abcorr_len, (ftnlen)4)) {
zzspkgp0_(targ, et, ref, obs, ptarg, lt, ref_len);
} else {
/* Get the auxiliary information about the requested output */
/* frame. */
namfrm_(ref, &reqfrm, ref_len);
if (reqfrm == 0) {
setmsg_("The requested output frame '#' is not recognized by the"
" reference frame subsystem. Please check that the appro"
"priate kernels have been loaded and that you have correc"
"tly entered the name of the output frame. ", (ftnlen)209);
errch_("#", ref, (ftnlen)1, ref_len);
sigerr_("SPICE(UNKNOWNFRAME)", (ftnlen)19);
chkout_("ZZSPKZP0", (ftnlen)8);
return 0;
}
frinfo_(&reqfrm, ¢er, &type__, &typeid, &found);
/* If we are dealing with an inertial frame, we can simply */
/* call ZZSPKSB0, ZZSPKPA0 and return. */
if (type__ == 1) {
zzspksb0_(obs, et, ref, sobs, ref_len);
zzspkpa0_(targ, et, ref, sobs, abcorr, ptarg, lt, ref_len,
abcorr_len);
chkout_("ZZSPKZP0", (ftnlen)8);
return 0;
}
/* Still here? */
/* We are dealing with a non-inertial frame. But we need to */
/* do light time and stellar aberration in an inertial frame. */
/* Get the "apparent" position of TARG in the intermediary */
/* inertial reference frame J2000. */
/* We also need the light time to the center of the frame. */
zzspksb0_(obs, et, "J2000", sobs, (ftnlen)5);
zzspkpa0_(targ, et, "J2000", sobs, abcorr, postn, lt, (ftnlen)5,
abcorr_len);
if (failed_()) {
chkout_("ZZSPKZP0", (ftnlen)8);
return 0;
}
if (center == *obs) {
ltcent = 0.;
} else if (center == *targ) {
ltcent = *lt;
} else {
zzspkpa0_(¢er, et, "J2000", sobs, abcorr, temp, <cent, (
ftnlen)5, abcorr_len);
}
/* If something went wrong (like we couldn't get the position of */
/* the center relative to the observer) now it is time to quit. */
if (failed_()) {
chkout_("ZZSPKZP0", (ftnlen)8);
return 0;
}
/* If the aberration corrections are for transmission, negate */
/* the light time, since we wish to compute the orientation */
/* of the non-inertial frame at an epoch later than ET by */
/* the one-way light time. */
if (xmit) {
ltcent = -ltcent;
}
/* Get the rotation from J2000 to the requested frame */
/* and convert the position. */
d__1 = *et - ltcent;
zzrefch0_(&fj2000, &reqfrm, &d__1, xform);
if (failed_()) {
chkout_("ZZSPKZP0", (ftnlen)8);
return 0;
}
mxv_(xform, postn, ptarg);
}
chkout_("ZZSPKZP0", (ftnlen)8);
return 0;
} /* zzspkzp0_ */
/* $Procedure LSPCN ( Longitude of the sun, planetocentric ) */
doublereal lspcn_(char *body, doublereal *et, char *abcorr, ftnlen body_len,
ftnlen abcorr_len)
{
/* Initialized data */
static logical first = TRUE_;
/* System generated locals */
integer i__1, i__2;
doublereal ret_val;
/* Builtin functions */
integer s_rnge(char *, integer, char *, integer);
/* Local variables */
extern /* Subroutine */ int zzbods2c_(integer *, char *, integer *,
logical *, char *, integer *, logical *, ftnlen, ftnlen);
doublereal tipm[9] /* was [3][3] */;
extern /* Subroutine */ int zzctruin_(integer *);
integer i__;
extern /* Subroutine */ int chkin_(char *, ftnlen), errch_(char *, char *,
ftnlen, ftnlen);
logical found;
doublereal uavel[3], npole[3], trans[9] /* was [3][3] */;
extern /* Subroutine */ int ucrss_(doublereal *, doublereal *, doublereal
*);
static logical svfnd1;
static integer svctr1[2];
extern logical failed_(void);
integer idcode;
doublereal lt;
extern /* Subroutine */ int recrad_(doublereal *, doublereal *,
doublereal *, doublereal *);
static integer svidcd;
extern /* Subroutine */ int tipbod_(char *, integer *, doublereal *,
doublereal *, ftnlen);
doublereal bstate[6], radius;
extern /* Subroutine */ int spkgeo_(integer *, doublereal *, char *,
integer *, doublereal *, doublereal *, ftnlen), sigerr_(char *,
ftnlen), chkout_(char *, ftnlen), setmsg_(char *, ftnlen);
doublereal sstate[6];
static char svbody[36];
extern /* Subroutine */ int twovec_(doublereal *, integer *, doublereal *,
integer *, doublereal *);
extern logical return_(void);
extern /* Subroutine */ int spkezr_(char *, doublereal *, char *, char *,
char *, doublereal *, doublereal *, ftnlen, ftnlen, ftnlen,
ftnlen);
doublereal lat, pos[3];
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
/* $ Abstract */
/* Compute L_s, the planetocentric longitude of the sun, as seen */
/* from 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 */
/* NAIF_IDS */
/* PCK */
/* TIME */
/* SPK */
/* $ Keywords */
/* GEOMETRY */
/* TIME */
/* $ Declarations */
/* $ 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 */
/* -------- --- -------------------------------------------------- */
/* BODY I Name of central body. */
/* ET I Epoch in seconds past J2000 TDB. */
/* ABCORR I Aberration correction. */
/* The function returns the value of L_s for the specified body */
/* at the specified time. */
/* $ Detailed_Input */
/* BODY is the name of the central body, typically a planet. */
/* ET is the epoch at which the longitude of the sun (L_s) */
/* is to be computed. ET is expressed as seconds past */
/* J2000 TDB (Barycentric Dynamical Time). */
/* ABCORR indicates the aberration corrections to be applied */
/* when computing the longitude of the sun. ABCORR may */
/* be any of the following. */
/* 'NONE' Apply no correction. */
/* 'LT' Correct the position of the sun, */
/* relative to the central body, for */
/* planetary (light time) aberration. */
/* 'LT+S' Correct the position of the sun, */
/* relative to the central body, for */
/* planetary and stellar aberrations. */
/* $ Detailed_Output */
/* The function returns the planetocentric longitude of the sun, */
/* often called "L_s," for the specified body at the specified time. */
/* This is the longitude of the body-sun vector in a right-handed */
/* frame whose basis vectors are defined as follows: */
/* - The positive Z direction is given by the instantaneous */
/* angular velocity vector of the orbit of the body about */
/* the sun. */
/* - The positive X direction is that of the cross product of the */
/* instantaneous north spin axis of the body with the positive */
/* Z direction. */
/* - The positive Y direction is Z x X. */
/* Units are radians; the range is 0 to 2*pi. Longitudes are */
/* positive to the east. */
/* $ Parameters */
/* None. */
/* $ Exceptions */
/* 1) If the input body name cannot be translated to an ID code, */
/* and if the name is not a string representation of an integer */
/* (for example, '399'), the error SPICE(NOTRANSLATION) is */
/* signaled. */
/* 2) If no SPK (ephemeris) file has been loaded prior to calling */
/* this routine, or if the SPK data has insufficient coverage, an */
/* error will be diagnosed and signaled by a routine in the call */
/* tree of this routine. */
/* 3) If a PCK file containing rotational elements for the central */
/* body has not been loaded prior to calling this routine, an */
/* error will be diagnosed and signaled by a routine called by a */
/* routine in the call tree of this routine. */
/* 4) If the instantaneous angular velocity and spin axis of BODY */
/* are parallel, the error will be diagnosed and signaled by a */
/* routine in the call tree of this routine. */
/* $ Files */
/* 1) An SPK file (or file) containing ephemeris data sufficient to */
/* compute the geometric state of the central body relative to */
/* the sun at ET must be loaded before this routine is called. If */
/* light time correction is used, data must be available that */
/* enable computation of the state the sun relative to the solar */
/* system barycenter at the light-time corrected epoch. If */
/* stellar aberration correction is used, data must be available */
/* that enable computation of the state the central body relative */
/* to the solar system barycenter at ET. */
/* 2) A PCK file containing rotational elements for the central body */
/* must be loaded before this routine is called. */
/* $ Particulars */
/* The direction of the vernal equinox for the central body is */
/* determined from the instantaneous equatorial and orbital planes */
/* of the central body. This equinox definition is specified in */
/* reference [1]. The "instantaneous orbital plane" is interpreted */
/* in this routine as the plane normal to the cross product of the */
/* position and velocity of the central body relative to the sun. */
/* The geometric state of the central body relative to the sun is */
/* used for this normal vector computation. The "instantaneous */
/* equatorial plane" is normal to the central body's north pole */
/* at the requested epoch. The pole direction is determined from */
/* rotational elements loaded via a PCK file. */
/* The result returned by this routine will depend on the */
/* ephemeris data and rotational elements used. The result may */
/* differ from that given in any particular version of the */
/* Astronomical Almanac, due to differences in these input data, */
/* and due to differences in precision of the computations. */
/* $ Examples */
/* 1) A simple program that computes L_s for a body and time */
/* supplied interactively. The geometric state of the sun is */
/* used. */
/* PROGRAM EX1 */
/* IMPLICIT NONE */
/* DOUBLE PRECISION DPR */
/* DOUBLE PRECISION LSPCN */
/* CHARACTER*(*) ABCORR */
/* PARAMETER ( ABCORR = 'NONE' ) */
/* INTEGER FILSIZ */
/* PARAMETER ( FILSIZ = 255 ) */
/* INTEGER NAMLEN */
/* PARAMETER ( NAMLEN = 36 ) */
/* INTEGER TIMLEN */
/* PARAMETER ( TIMLEN = 40 ) */
/* CHARACTER*(NAMLEN) BODY */
/* CHARACTER*(FILSIZ) LSK */
/* CHARACTER*(FILSIZ) PCK */
/* CHARACTER*(FILSIZ) SPK */
/* CHARACTER*(TIMLEN) TIMSTR */
/* DOUBLE PRECISION ET */
/* DOUBLE PRECISION LON */
/* CALL PROMPT ( 'Enter name of leapseconds kernel > ', LSK ) */
/* CALL PROMPT ( 'Enter name of PCK file > ', PCK ) */
/* CALL PROMPT ( 'Enter name of SPK file > ', SPK ) */
/* CALL FURNSH ( LSK ) */
/* CALL FURNSH ( PCK ) */
/* CALL FURNSH ( SPK ) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Kernels have been loaded.' */
/* WRITE (*,*) ' ' */
/* DO WHILE ( .TRUE. ) */
/* CALL PROMPT ( 'Enter name of central body > ', */
/* . BODY ) */
/* CALL PROMPT ( 'Enter calendar, JD, or DOY time > ', */
/* . TIMSTR ) */
/* CALL STR2ET ( TIMSTR, ET ) */
/* C */
/* C Convert longitude to degrees. */
/* C */
/* LON = DPR() * LSPCN ( BODY, ET, ABCORR ) */
/* WRITE (*,*) ' ' */
/* WRITE (*,*) 'Central body = ', BODY */
/* WRITE (*,*) 'Time = ', TIMSTR */
/* WRITE (*,*) 'Planetocentric L_s (deg.) = ', LON */
/* WRITE (*,*) ' ' */
/* END DO */
/* END */
/* $ Restrictions */
/* None. */
/* $ Literature_References */
/* [1] "The Astronomical Almanac for the Year 2005." U.S. Government */
/* Printing Office, Washington, D.C., 1984, page L9. */
/* $ Author_and_Institution */
/* N.J. Bachman (JPL) */
/* B.V. Semenov (JPL) */
/* $ Version */
/* - SPICELIB Version 1.1.0, 19-SEP-2013 (BVS) */
/* Updated to save the input body name and ZZBODTRN state */
/* counter and to do name-ID conversion only if the counter */
/* has changed. */
/* - SPICELIB Version 1.0.0, 07-JAN-2005 (NJB) */
/* -& */
/* $ Index_Entries */
/* planetocentric longitude of sun */
/* compute L_s */
/* compute Ls */
/* compute L_sub_s */
/* -& */
/* SPICELIB functions */
/* Local parameters */
/* Saved body name length. */
/* Local variables */
/* Saved name/ID item declarations. */
/* Saved name/ID items. */
/* Initial values. */
/* Give the function an initial value. */
ret_val = 0.;
/* Standard SPICE error handling. */
if (return_()) {
return ret_val;
}
chkin_("LSPCN", (ftnlen)5);
/* Initialization. */
if (first) {
/* Initialize counters */
zzctruin_(svctr1);
first = FALSE_;
}
/* Map the body name to an ID code. */
zzbods2c_(svctr1, svbody, &svidcd, &svfnd1, body, &idcode, &found, (
ftnlen)36, body_len);
if (! found) {
setmsg_("The body name # could not be translated to a NAIF ID code. "
" The cause of this problem may be that you need an updated v"
"ersion of the SPICE Toolkit.", (ftnlen)147);
errch_("#", body, (ftnlen)1, body_len);
sigerr_("SPICE(NOTRANSLATION)", (ftnlen)20);
chkout_("LSPCN", (ftnlen)5);
return ret_val;
}
/* Look up the direction of the North pole of the central body. */
/* Note that TIPBOD does make use of binary PCK data if available. */
tipbod_("J2000", &idcode, et, tipm, (ftnlen)5);
for (i__ = 1; i__ <= 3; ++i__) {
npole[(i__1 = i__ - 1) < 3 && 0 <= i__1 ? i__1 : s_rnge("npole", i__1,
"lspcn_", (ftnlen)397)] = tipm[(i__2 = i__ * 3 - 1) < 9 && 0
<= i__2 ? i__2 : s_rnge("tipm", i__2, "lspcn_", (ftnlen)397)];
}
/* Get the geometric state of the body relative to the sun. */
spkgeo_(&idcode, et, "J2000", &c__10, bstate, <, (ftnlen)5);
/* Get the unit direction vector parallel to the angular velocity */
/* vector of the orbit. This is just the unitized cross product of */
/* position and velocity. */
ucrss_(bstate, &bstate[3], uavel);
/* We want to create a transformation matrix that maps vectors from */
/* basis REF to the following frame: */
/* Z = UAVEL */
/* X = NPOLE x UAVEL */
/* Y = Z x X */
/* This is a "two-vector" frame with the unit orbital */
/* angular velocity vector UAVEL as the primary vector and the */
/* spin axis NPOLE as the secondary vector. The primary */
/* vector is associated with the +Z axis; the secondary vector */
/* is associated with the +Y axis. */
twovec_(uavel, &c__3, npole, &c__2, trans);
if (failed_()) {
chkout_("LSPCN", (ftnlen)5);
return ret_val;
}
/* We'll find the position of the Sun relative to this frame. */
/* Get the state of the sun in frame REF. Since we may be using */
/* aberration corrections, this is not necessarily the negative of */
/* the state we've just found. */
spkezr_("SUN", et, "J2000", abcorr, body, sstate, <, (ftnlen)3, (ftnlen)
5, abcorr_len, body_len);
/* Now transform the position of the Sun into the "orbit plane */
/* and equinox" frame. */
mxv_(trans, sstate, pos);
/* Let RECRAD find the longitude LS for us. RECRAD performs */
/* the same coordinate transformation as the more commonly used */
/* RECLAT, but the range of right ascension is 0:2*pi, which is */
/* what we want for Ls. */
recrad_(pos, &radius, &ret_val, &lat);
chkout_("LSPCN", (ftnlen)5);
return ret_val;
} /* lspcn_ */
/* $Procedure ZZHULLAX ( Pyramidal FOV convex hull to FOV axis ) */
/* Subroutine */ int zzhullax_(char *inst, integer *n, doublereal *bounds,
doublereal *axis, ftnlen inst_len)
{
/* System generated locals */
integer bounds_dim2, i__1, i__2;
doublereal d__1;
/* Builtin functions */
integer s_rnge(char *, integer, char *, integer);
/* Local variables */
extern /* Subroutine */ int vhat_(doublereal *, doublereal *);
doublereal xvec[3], yvec[3], zvec[3];
integer xidx;
extern doublereal vsep_(doublereal *, doublereal *);
integer next;
logical pass1;
integer i__, m;
doublereal r__, v[3], delta;
extern /* Subroutine */ int chkin_(char *, ftnlen), errch_(char *, char *,
ftnlen, ftnlen);
logical found;
extern /* Subroutine */ int errdp_(char *, doublereal *, ftnlen), vlcom_(
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *);
integer minix, maxix;
doublereal trans[9] /* was [3][3] */;
extern /* Subroutine */ int ucrss_(doublereal *, doublereal *, doublereal
*), vcrss_(doublereal *, doublereal *, doublereal *);
extern logical vzero_(doublereal *);
extern /* Subroutine */ int vrotv_(doublereal *, doublereal *, doublereal
*, doublereal *);
doublereal cp[3];
extern doublereal pi_(void);
logical ok;
extern doublereal halfpi_(void);
extern /* Subroutine */ int reclat_(doublereal *, doublereal *,
doublereal *, doublereal *), sigerr_(char *, ftnlen);
doublereal minlon;
extern /* Subroutine */ int chkout_(char *, ftnlen);
doublereal maxlon;
extern /* Subroutine */ int vhatip_(doublereal *), vsclip_(doublereal *,
doublereal *), setmsg_(char *, ftnlen), errint_(char *, integer *,
ftnlen);
extern logical return_(void);
doublereal lat, sep, lon;
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
doublereal ray1[3], ray2[3];
/* $ 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. */
/* Identify a face of the convex hull of an instrument's */
/* polygonal FOV, and use this face to generate an axis of the */
/* FOV. */
/* $ 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 */
/* CK */
/* FRAMES */
/* GF */
/* IK */
/* KERNEL */
/* $ Keywords */
/* FOV */
/* GEOMETRY */
/* INSTRUMENT */
/* $ Declarations */
/* $ Brief_I/O */
/* VARIABLE I/O DESCRIPTION */
/* -------- --- -------------------------------------------------- */
/* MARGIN P Minimum complement of FOV cone angle. */
/* INST I Instrument name. */
/* N I Number of FOV boundary vectors. */
/* BOUNDS I FOV boundary vectors. */
/* AXIS O Instrument FOV axis vector. */
/* $ Detailed_Input */
/* INST is the name of an instrument with which the field of */
/* view (FOV) of interest is associated. This name is */
/* used only to generate long error messages. */
/* N is the number of boundary vectors in the array */
/* BOUNDS. */
/* BOUNDS is an array of N vectors emanating from a common */
/* vertex and defining the edges of a pyramidal region in */
/* three-dimensional space: this the region within the */
/* FOV of the instrument designated by INST. The Ith */
/* vector of BOUNDS resides in elements (1:3,I) of this */
/* array. */
/* The vectors contained in BOUNDS are called the */
/* "boundary vectors" of the FOV. */
/* The boundary vectors must satisfy the constraints: */
/* 1) The boundary vectors must be contained within */
/* a right circular cone of angular radius less */
/* than than (pi/2) - MARGIN radians; in other */
/* words, there must be a vector A such that all */
/* boundary vectors have angular separation from */
/* A of less than (pi/2)-MARGIN radians. */
/* 2) There must be a pair of vectors U, V in BOUNDS */
/* such that all other boundary vectors lie in */
/* the same half space bounded by the plane */
/* containing U and V. Furthermore, all other */
/* boundary vectors must have orthogonal */
/* projections onto a plane normal to this plane */
/* such that the projections have angular */
/* separation of at least 2*MARGIN radians from */
/* the plane spanned by U and V. */
/* Given the first constraint above, there is plane PL */
/* such that each of the set of rays extending the */
/* boundary vectors intersects PL. (In fact, there is an */
/* infinite set of such planes.) The boundary vectors */
/* must be ordered so that the set of line segments */
/* connecting the intercept on PL of the ray extending */
/* the Ith vector to that of the (I+1)st, with the Nth */
/* intercept connected to the first, form a polygon (the */
/* "FOV polygon") constituting the intersection of the */
/* FOV pyramid with PL. This polygon may wrap in either */
/* the positive or negative sense about a ray emanating */
/* from the FOV vertex and passing through the plane */
/* region bounded by the FOV polygon. */
/* The FOV polygon need not be convex; it may be */
/* self-intersecting as well. */
/* No pair of consecutive vectors in BOUNDS may be */
/* linearly dependent. */
/* The boundary vectors need not have unit length. */
/* $ Detailed_Output */
/* AXIS is a unit vector normal to a plane containing the */
/* FOV polygon. All boundary vectors have angular */
/* separation from AXIS of not more than */
/* ( pi/2 ) - MARGIN */
/* radians. */
/* This routine signals an error if it cannot find */
/* a satisfactory value of AXIS. */
/* $ Parameters */
/* MARGIN is a small positive number used to constrain the */
/* orientation of the boundary vectors. See the two */
/* constraints described in the Detailed_Input section */
/* above for specifics. */
/* $ Exceptions */
/* 1) In the input vector count N is not at least 3, the error */
/* SPICE(INVALIDCOUNT) is signaled. */
/* 2) If any pair of consecutive boundary vectors has cross */
/* product zero, the error SPICE(DEGENERATECASE) is signaled. */
/* For this test, the first vector is considered the successor */
/* of the Nth. */
/* 3) If this routine can't find a face of the convex hull of */
/* the set of boundary vectors such that this face satisfies */
/* constraint (2) of the Detailed_Input section above, the */
/* error SPICE(FACENOTFOUND) is signaled. */
/* 4) If any boundary vectors have longitude too close to 0 */
/* or too close to pi radians in the face frame (see discussion */
/* of the search algorithm's steps 3 and 4 in Particulars */
/* below), the respective errors SPICE(NOTSUPPORTED) or */
/* SPICE(FOVTOOWIDE) are signaled. */
/* 5) If any boundary vectors have angular separation of more than */
/* (pi/2)-MARGIN radians from the candidate FOV axis, the */
/* error SPICE(FOVTOOWIDE) is signaled. */
/* $ Files */
/* The boundary vectors input to this routine are typically */
/* obtained from an IK file. */
/* $ Particulars */
/* Normally implementation is not discussed in SPICE headers, but we */
/* make an exception here because this routine's implementation and */
/* specification are deeply intertwined. */
/* This routine produces an "axis" for a polygonal FOV using the */
/* following approach: */
/* 1) Test pairs of consecutive FOV boundary vectors to see */
/* whether there's a pair such that the plane region bounded */
/* by these vectors is */
/* a) part of the convex hull of the set of boundary vectors */
/* b) such that all other boundary vectors have angular */
/* separation of at least MARGIN from the plane */
/* containing these vectors */
/* This search has O(N**2) run time dependency on N. */
/* If this test produces a candidate face of the convex hull, */
/* proceed to step 3. */
/* 2) If step (1) fails, repeat the search for a candidate */
/* convex hull face, but this time search over every pair of */
/* distinct boundary vectors. */
/* This search has O(N**3) run time dependency on N. */
/* If this search fails, signal an error. */
/* 3) Produce a set of basis vectors for a reference frame, */
/* which we'll call the "face frame," using as the +X axis */
/* the angle bisector of the vectors bounding the candidate */
/* face, the +Y axis the inward normal vector to this face, */
/* and the +Z axis completing a right-handed basis. */
/* 4) Transform each boundary vector, other than the two vectors */
/* defining the selected convex hull face, to the face frame */
/* and compute the vector's longitude in that frame. Find the */
/* maximum and minimum longitudes of the vectors in the face */
/* frame. */
/* If any vector's longitude is less than 2*MARGIN or greater */
/* than pi - 2*MARGIN radians, signal an error. */
/* 5) Let DELTA be the difference between pi and the maximum */
/* longitude found in step (4). Rotate the +Y axis (which */
/* points in the inward normal direction relative to the */
/* selected face) by -DELTA/2 radians about the +Z axis of */
/* the face frame. This rotation aligns the +Y axis with the */
/* central longitude of the set of boundary vectors. The */
/* resulting vector is our candidate FOV axis. */
/* 6) Check the angular separation of the candidate FOV axis */
/* against each boundary vector. If any vector has angular */
/* separation of more than (pi/2)-MARGIN radians from the */
/* axis, signal an error. */
/* Note that there are reasonable FOVs that cannot be handled by the */
/* algorithm described here. For example, any FOV whose cross */
/* section is a regular convex polygon can be made unusable by */
/* adding boundary vectors aligned with the angle bisectors of each */
/* face of the pyramid defined by the FOV's boundary vectors. The */
/* resulting set of boundary vectors has no face in its convex hull */
/* such that all other boundary vectors have positive angular */
/* separation from that face. */
/* Because of this limitation, this algorithm should be used only */
/* after a simple FOV axis-finding approach, such as using as the */
/* FOV axis the average of the boundary vectors, has been tried */
/* unsuccessfully. */
/* Note that it's easy to construct FOVs where the average of the */
/* boundary vectors doesn't yield a viable axis: a FOV of angular */
/* width nearly equal to pi radians, with a sufficiently large */
/* number of boundary vectors on one side and few boundary vectors */
/* on the other, is one such example. This routine can find an */
/* axis for many such intractable FOVs---that's why this routine */
/* should be called after the simple approach fails. */
/* $ Examples */
/* See SPICELIB private routine ZZFOVAXI. */
/* $ Restrictions */
/* 1) This is a SPICE private routine. User applications should not */
/* call this routine. */
/* 2) There are "reasonable" polygonal FOVs that cannot be handled */
/* by this routine. See the discussion in Particulars above. */
/* $ Literature_References */
/* None. */
/* $ Author_and_Institution */
/* N.J. Bachman (JPL) */
/* $ Version */
/* - SPICELIB 1.0.0, 05-MAR-2009 (NJB) */
/* -& */
/* $ Index_Entries */
/* Create axis vector for polygonal FOV */
/* -& */
/* SPICELIB functions */
/* Local parameters */
/* Local variables */
/* Parameter adjustments */
bounds_dim2 = *n;
/* Function Body */
if (return_()) {
return 0;
}
chkin_("ZZHULLAX", (ftnlen)8);
/* Nothing found yet. */
found = FALSE_;
xidx = 0;
/* We must have at least 3 boundary vectors. */
if (*n < 3) {
setmsg_("Polygonal FOV requires at least 3 boundary vectors but numb"
"er supplied for # was #.", (ftnlen)83);
errch_("#", inst, (ftnlen)1, inst_len);
errint_("#", n, (ftnlen)1);
sigerr_("SPICE(INVALIDCOUNT)", (ftnlen)19);
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
}
/* Find an exterior face of the pyramid defined by the */
/* input boundary vectors. Since most polygonal FOVs will have */
/* an exterior face bounded by two consecutive rays, we'll */
/* try pairs of consecutive rays first. If this fails, we'll */
/* try each pair of rays. */
i__ = 1;
while(i__ <= *n && ! found) {
/* Set the index of the next ray. When we get to the */
/* last boundary vector, the next ray is the first. */
if (i__ == *n) {
next = 1;
} else {
next = i__ + 1;
}
/* Find the cross product of the first ray with the */
/* second. Depending on the ordering of the boundary */
/* vectors, this could be an inward or outward normal, */
/* in the case the current face is exterior. */
vcrss_(&bounds[(i__1 = i__ * 3 - 3) < bounds_dim2 * 3 && 0 <= i__1 ?
i__1 : s_rnge("bounds", i__1, "zzhullax_", (ftnlen)408)], &
bounds[(i__2 = next * 3 - 3) < bounds_dim2 * 3 && 0 <= i__2 ?
i__2 : s_rnge("bounds", i__2, "zzhullax_", (ftnlen)408)], cp);
/* We insist on consecutive boundary vectors being */
/* linearly independent. */
if (vzero_(cp)) {
setmsg_("Polygonal FOV must have linearly independent consecutiv"
"e boundary but vectors at indices # and # have cross pro"
"duct equal to the zero vector. Instrument is #.", (ftnlen)
158);
errint_("#", &i__, (ftnlen)1);
errint_("#", &next, (ftnlen)1);
errch_("#", inst, (ftnlen)1, inst_len);
sigerr_("SPICE(DEGENERATECASE)", (ftnlen)21);
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
}
/* See whether the other boundary vectors have angular */
/* separation of at least MARGIN from the plane containing */
/* the current face. */
pass1 = TRUE_;
ok = TRUE_;
m = 1;
while(m <= *n && ok) {
/* Find the angular separation of CP and the Mth vector if the */
/* latter is not an edge of the current face. */
if (m != i__ && m != next) {
sep = vsep_(cp, &bounds[(i__1 = m * 3 - 3) < bounds_dim2 * 3
&& 0 <= i__1 ? i__1 : s_rnge("bounds", i__1, "zzhull"
"ax_", (ftnlen)446)]);
if (pass1) {
/* Adjust CP if necessary so that it points */
/* toward the interior of the pyramid. */
if (sep > halfpi_()) {
/* Invert the cross product vector and adjust SEP */
/* accordingly. Within this "M" loop, all other */
/* angular separations will be computed using the new */
/* value of CP. */
vsclip_(&c_b20, cp);
sep = pi_() - sep;
}
pass1 = FALSE_;
}
ok = sep < halfpi_() - 1e-12;
}
if (ok) {
/* Consider the next boundary vector. */
++m;
}
}
/* We've tested each boundary vector against the current face, or */
/* else the loop terminated early because a vector with */
/* insufficient angular separation from the plane containing the */
/* face was found. */
if (ok) {
/* The current face is exterior. It's bounded by rays I and */
/* NEXT. */
xidx = i__;
found = TRUE_;
} else {
/* Look at the next face of the pyramid. */
++i__;
}
}
/* If we didn't find an exterior face, we'll have to look at each */
/* face bounded by a pair of rays, even if those rays are not */
/* adjacent. (This can be a very slow process is N is large.) */
if (! found) {
i__ = 1;
while(i__ <= *n && ! found) {
/* Consider all ray pairs (I,NEXT) where NEXT > I. */
next = i__ + 1;
while(next <= *n && ! found) {
/* Find the cross product of the first ray with the second. */
/* If the current face is exterior, CP could be an inward */
/* or outward normal, depending on the ordering of the */
/* boundary vectors. */
vcrss_(&bounds[(i__1 = i__ * 3 - 3) < bounds_dim2 * 3 && 0 <=
i__1 ? i__1 : s_rnge("bounds", i__1, "zzhullax_", (
ftnlen)530)], &bounds[(i__2 = next * 3 - 3) <
bounds_dim2 * 3 && 0 <= i__2 ? i__2 : s_rnge("bounds",
i__2, "zzhullax_", (ftnlen)530)], cp);
/* It's allowable for non-consecutive boundary vectors to */
/* be linearly dependent, but if we have such a pair, */
/* it doesn't define an exterior face. */
if (! vzero_(cp)) {
/* The rays having direction vectors indexed I and NEXT */
/* define a semi-infinite sector of a plane that might */
/* be of interest. */
/* Check whether all of the boundary vectors that are */
/* not edges of the current face have angular separation */
/* of at least MARGIN from the plane containing the */
/* current face. */
pass1 = TRUE_;
ok = TRUE_;
m = 1;
while(m <= *n && ok) {
/* Find the angular separation of CP and the Mth */
/* vector if the latter is not an edge of the current */
/* face. */
if (m != i__ && m != next) {
sep = vsep_(cp, &bounds[(i__1 = m * 3 - 3) <
bounds_dim2 * 3 && 0 <= i__1 ? i__1 :
s_rnge("bounds", i__1, "zzhullax_", (
ftnlen)560)]);
if (pass1) {
/* Adjust CP if necessary so that it points */
/* toward the interior of the pyramid. */
if (sep > halfpi_()) {
/* Invert the cross product vector and */
/* adjust SEP accordingly. Within this "M" */
/* loop, all other angular separations will */
/* be computed using the new value of CP. */
vsclip_(&c_b20, cp);
sep = pi_() - sep;
}
pass1 = FALSE_;
}
ok = sep < halfpi_() - 1e-12;
}
if (ok) {
/* Consider the next boundary vector. */
++m;
}
}
/* We've tested each boundary vector against the current */
/* face, or else the loop terminated early because a */
/* vector with insufficient angular separation from the */
/* plane containing the face was found. */
if (ok) {
/* The current face is exterior. It's bounded by rays */
/* I and NEXT. */
xidx = i__;
found = TRUE_;
}
/* End of angular separation test block. */
}
/* End of non-zero cross product block. */
if (! found) {
/* Look at the face bounded by the rays */
/* at indices I and NEXT+1. */
++next;
}
}
/* End of NEXT loop. */
if (! found) {
/* Look at the face bounded by the pairs of rays */
/* including the ray at index I+1. */
++i__;
}
}
/* End of I loop. */
}
/* End of search for exterior face using each pair of rays. */
/* If we still haven't found an exterior face, we can't continue. */
if (! found) {
setmsg_("Unable to find face of convex hull of FOV of instrument #.",
(ftnlen)58);
errch_("#", inst, (ftnlen)1, inst_len);
sigerr_("SPICE(FACENOTFOUND)", (ftnlen)19);
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
}
/* Arrival at this point means that the rays at indices */
/* XIDX and NEXT define a plane such that all boundary */
/* vectors lie in a half-space bounded by that plane. */
/* We're now going to define a set of orthonormal basis vectors: */
/* +X points along the angle bisector of the bounding vectors */
/* of the exterior face. */
/* +Y points along CP. */
/* +Z is the cross product of +X and +Y. */
/* We'll call the reference frame having these basis vectors */
/* the "face frame." */
vhat_(&bounds[(i__1 = i__ * 3 - 3) < bounds_dim2 * 3 && 0 <= i__1 ? i__1 :
s_rnge("bounds", i__1, "zzhullax_", (ftnlen)683)], ray1);
vhat_(&bounds[(i__1 = next * 3 - 3) < bounds_dim2 * 3 && 0 <= i__1 ? i__1
: s_rnge("bounds", i__1, "zzhullax_", (ftnlen)684)], ray2);
vlcom_(&c_b36, ray1, &c_b36, ray2, xvec);
vhatip_(xvec);
vhat_(cp, yvec);
ucrss_(xvec, yvec, zvec);
/* Create a transformation matrix to map the input boundary */
/* vectors into the face frame. */
for (i__ = 1; i__ <= 3; ++i__) {
trans[(i__1 = i__ * 3 - 3) < 9 && 0 <= i__1 ? i__1 : s_rnge("trans",
i__1, "zzhullax_", (ftnlen)698)] = xvec[(i__2 = i__ - 1) < 3
&& 0 <= i__2 ? i__2 : s_rnge("xvec", i__2, "zzhullax_", (
ftnlen)698)];
trans[(i__1 = i__ * 3 - 2) < 9 && 0 <= i__1 ? i__1 : s_rnge("trans",
i__1, "zzhullax_", (ftnlen)699)] = yvec[(i__2 = i__ - 1) < 3
&& 0 <= i__2 ? i__2 : s_rnge("yvec", i__2, "zzhullax_", (
ftnlen)699)];
trans[(i__1 = i__ * 3 - 1) < 9 && 0 <= i__1 ? i__1 : s_rnge("trans",
i__1, "zzhullax_", (ftnlen)700)] = zvec[(i__2 = i__ - 1) < 3
&& 0 <= i__2 ? i__2 : s_rnge("zvec", i__2, "zzhullax_", (
ftnlen)700)];
}
/* Now we're going to compute the longitude of each boundary in the */
/* face frame. The vectors with indices XIDX and NEXT are excluded. */
/* We expect all longitudes to be between MARGIN and pi - MARGIN. */
minlon = pi_();
maxlon = 0.;
minix = 1;
maxix = 1;
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (i__ != xidx && i__ != next) {
/* The current vector is not a boundary of our edge, */
/* so find its longitude. */
mxv_(trans, &bounds[(i__2 = i__ * 3 - 3) < bounds_dim2 * 3 && 0 <=
i__2 ? i__2 : s_rnge("bounds", i__2, "zzhullax_", (
ftnlen)720)], v);
reclat_(v, &r__, &lon, &lat);
/* Update the longitude bounds. */
if (lon < minlon) {
minix = i__;
minlon = lon;
}
if (lon > maxlon) {
maxix = i__;
maxlon = lon;
}
}
}
/* If the longitude bounds are not as expected, don't try */
/* to continue. */
if (minlon < 2e-12) {
setmsg_("Minimum boundary vector longitude in exterior face frame is"
" # radians. Minimum occurs at index #. This FOV does not con"
"form to the requirements of this routine. Instrument is #.", (
ftnlen)177);
errdp_("#", &minlon, (ftnlen)1);
errint_("#", &minix, (ftnlen)1);
errch_("#", inst, (ftnlen)1, inst_len);
sigerr_("SPICE(NOTSUPPORTED)", (ftnlen)19);
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
} else if (maxlon > pi_() - 2e-12) {
setmsg_("Maximum boundary vector longitude in exterior face frame is"
" # radians. Maximum occurs at index #. This FOV does not con"
"form to the requirements of this routine. Instrument is #.", (
ftnlen)177);
errdp_("#", &maxlon, (ftnlen)1);
errint_("#", &maxix, (ftnlen)1);
errch_("#", inst, (ftnlen)1, inst_len);
sigerr_("SPICE(FOVTOOWIDE)", (ftnlen)17);
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
}
/* Let delta represent the amount we can rotate the exterior */
/* face clockwise about +Z without contacting another boundary */
/* vector. */
delta = pi_() - maxlon;
/* Rotate +Y by -DELTA/2 about +Z. The result is our candidate */
/* FOV axis. Make the axis vector unit length. */
d__1 = -delta / 2;
vrotv_(yvec, zvec, &d__1, axis);
vhatip_(axis);
/* If we have a viable result, ALL boundary vectors have */
/* angular separation less than HALFPI-MARGIN from AXIS. */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
sep = vsep_(&bounds[(i__2 = i__ * 3 - 3) < bounds_dim2 * 3 && 0 <=
i__2 ? i__2 : s_rnge("bounds", i__2, "zzhullax_", (ftnlen)794)
], axis);
if (sep > halfpi_() - 1e-12) {
setmsg_("Boundary vector at index # has angular separation of # "
"radians from candidate FOV axis. This FOV does not confo"
"rm to the requirements of this routine. Instrument is #.",
(ftnlen)167);
errint_("#", &i__, (ftnlen)1);
errdp_("#", &sep, (ftnlen)1);
errch_("#", inst, (ftnlen)1, inst_len);
sigerr_("SPICE(FOVTOOWIDE)", (ftnlen)17);
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
}
}
chkout_("ZZHULLAX", (ftnlen)8);
return 0;
} /* zzhullax_ */
/* $Procedure ZZEDTERM ( Ellipsoid terminator ) */
/* Subroutine */ int zzedterm_(char *type__, doublereal *a, doublereal *b,
doublereal *c__, doublereal *srcrad, doublereal *srcpos, integer *
npts, doublereal *trmpts, ftnlen type_len)
{
/* System generated locals */
integer trmpts_dim2, i__1, i__2;
doublereal d__1, d__2, d__3;
/* Builtin functions */
integer s_cmp(char *, char *, ftnlen, ftnlen);
double asin(doublereal);
integer s_rnge(char *, integer, char *, integer);
double d_sign(doublereal *, doublereal *);
/* Local variables */
extern /* Subroutine */ int vadd_(doublereal *, doublereal *, doublereal *
);
doublereal rmin, rmax;
extern /* Subroutine */ int vscl_(doublereal *, doublereal *, doublereal *
);
extern doublereal vdot_(doublereal *, doublereal *), vsep_(doublereal *,
doublereal *);
integer nitr;
extern /* Subroutine */ int vsub_(doublereal *, doublereal *, doublereal *
), vequ_(doublereal *, doublereal *);
doublereal d__, e[3];
integer i__;
doublereal s, angle, v[3], x[3], delta, y[3], z__[3], inang;
extern /* Subroutine */ int chkin_(char *, ftnlen), frame_(doublereal *,
doublereal *, doublereal *);
doublereal plane[4];
extern /* Subroutine */ int ucase_(char *, char *, ftnlen, ftnlen),
errch_(char *, char *, ftnlen, ftnlen), vpack_(doublereal *,
doublereal *, doublereal *, doublereal *);
doublereal theta;
extern /* Subroutine */ int errdp_(char *, doublereal *, ftnlen);
doublereal trans[9] /* was [3][3] */, srcpt[3], vtemp[3];
extern doublereal vnorm_(doublereal *), twopi_(void);
extern /* Subroutine */ int ljust_(char *, char *, ftnlen, ftnlen),
pl2nvc_(doublereal *, doublereal *, doublereal *);
doublereal lambda;
extern /* Subroutine */ int nvp2pl_(doublereal *, doublereal *,
doublereal *);
extern doublereal halfpi_(void);
doublereal minang, minrad, maxang, maxrad;
extern /* Subroutine */ int latrec_(doublereal *, doublereal *,
doublereal *, doublereal *);
doublereal angerr;
logical umbral;
extern doublereal touchd_(doublereal *);
doublereal offset[3], prvdif;
extern /* Subroutine */ int sigerr_(char *, ftnlen);
doublereal outang, plcons, prvang;
extern /* Subroutine */ int chkout_(char *, ftnlen), setmsg_(char *,
ftnlen), errint_(char *, integer *, ftnlen);
char loctyp[50];
extern logical return_(void);
extern /* Subroutine */ int vminus_(doublereal *, doublereal *);
doublereal dir[3];
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
doublereal vtx[3];
/* $ 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. */
/* Compute a set of points on the umbral or penumbral terminator of */
/* a specified ellipsoid, given a spherical light source. */
/* $ 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 */
/* ELLIPSES */
/* $ Keywords */
/* BODY */
/* GEOMETRY */
/* MATH */
/* $ Declarations */
/* $ Brief_I/O */
/* Variable I/O Description */
/* -------- --- -------------------------------------------------- */
/* TYPE I Terminator type. */
/* A I Length of ellipsoid semi-axis lying on the x-axis. */
/* B I Length of ellipsoid semi-axis lying on the y-axis. */
/* C I Length of ellipsoid semi-axis lying on the z-axis. */
/* SRCRAD I Radius of light source. */
/* SRCPOS I Position of center of light source. */
/* NPTS I Number of points in terminator point set. */
/* TRMPTS O Terminator point set. */
/* $ Detailed_Input */
/* TYPE is a string indicating the type of terminator to */
/* compute: umbral or penumbral. The umbral */
/* terminator is the boundary of the portion of the */
/* ellipsoid surface in total shadow. The penumbral */
/* terminator is the boundary of the portion of the */
/* surface that is completely illuminated. Possible */
/* values of TYPE are */
/* 'UMBRAL' */
/* 'PENUMBRAL' */
/* Case and leading or trailing blanks in TYPE are */
/* not significant. */
/* A, */
/* B, */
/* C are the lengths of the semi-axes of a triaxial */
/* ellipsoid. The ellipsoid is centered at the */
/* origin and oriented so that its axes lie on the */
/* x, y and z axes. A, B, and C are the lengths of */
/* the semi-axes that point in the x, y, and z */
/* directions respectively. */
/* Length units associated with A, B, and C must */
/* match those associated with SRCRAD, SRCPOS, */
/* and the output TRMPTS. */
/* SRCRAD is the radius of the spherical light source. */
/* SRCPOS is the position of the center of the light source */
/* relative to the center of the ellipsoid. */
/* NPTS is the number of terminator points to compute. */
/* $ Detailed_Output */
/* TRMPTS is an array of points on the umbral or penumbral */
/* terminator of the ellipsoid, as specified by the */
/* input argument TYPE. The Ith point is contained */
/* in the array elements */
/* TRMPTS(J,I), J = 1, 2, 3 */
/* The terminator points are expressed in the */
/* body-fixed reference frame associated with the */
/* ellipsoid. Units are those associated with */
/* the input axis lengths. */
/* Each terminator point is the point of tangency of */
/* a plane that is also tangent to the light source. */
/* These associated points of tangency on the light */
/* source have uniform distribution in longitude when */
/* expressed in a cylindrical coordinate system whose */
/* Z-axis is SRCPOS. The magnitude of the separation */
/* in longitude between these tangency points on the */
/* light source is */
/* 2*Pi / NPTS */
/* If the target is spherical, the terminator points */
/* also are uniformly distributed in longitude in the */
/* cylindrical system described above. If the target */
/* is non-spherical, the longitude distribution of */
/* the points generally is not uniform. */
/* $ Parameters */
/* None. */
/* $ Exceptions */
/* 1) If the terminator type is not recognized, the error */
/* SPICE(NOTSUPPORTED) is signaled. */
/* 2) If the set size NPTS is not at least 1, the error */
/* SPICE(INVALIDSIZE) is signaled. */
/* 3) If any of the ellipsoid's semi-axis lengths is non-positive, */
/* the error SPICE(INVALIDAXISLENGTH) is signaled. */
/* 4) If the light source has non-positive radius, the error */
/* SPICE(INVALIDRADIUS) is signaled. */
/* 5) If the light source intersects the smallest sphere */
/* centered at the origin and containing the ellipsoid, the */
/* error SPICE(OBJECTSTOOCLOSE) is signaled. */
/* $ Files */
/* None. */
/* $ Particulars */
/* This routine models the boundaries of shadow regions on an */
/* ellipsoid "illuminated" by a spherical light source. Light rays */
/* are assumed to travel along straight lines; refraction is not */
/* modeled. */
/* Points on the ellipsoid at which the entire cap of the light */
/* source is visible are considered to be completely illuminated. */
/* Points on the ellipsoid at which some portion (or all) of the cap */
/* of the light source are blocked are considered to be in partial */
/* (or total) shadow. */
/* In this routine, we use the term "umbral terminator" to denote */
/* the curve ususally called the "terminator": this curve is the */
/* boundary of the portion of the surface that lies in total shadow. */
/* We use the term "penumbral terminator" to denote the boundary of */
/* the completely illuminated portion of the surface. */
/* In general, the terminator on an ellipsoid is a more complicated */
/* curve than the limb (which is always an ellipse). Aside from */
/* various special cases, the terminator does not lie in a plane. */
/* However, the condition for a point X on the ellipsoid to lie on */
/* the terminator is simple: a plane tangent to the ellipsoid at X */
/* must also be tangent to the light source. If this tangent plane */
/* does not intersect the vector from the center of the ellipsoid to */
/* the center of the light source, then X lies on the umbral */
/* terminator; otherwise X lies on the penumbral terminator. */
/* $ Examples */
/* See the SPICELIB routine EDTERM. */
/* $ Restrictions */
/* This is a private SPICELIB routine. User applications should not */
/* call this routine. */
/* $ Literature_References */
/* None. */
/* $ Author_and_Institution */
/* N.J. Bachman (JPL) */
/* $ Version */
/* - SPICELIB Version 1.0.0, 03-FEB-2007 (NJB) */
/* -& */
/* $ Index_Entries */
/* find terminator on ellipsoid */
/* find umbral terminator on ellipsoid */
/* find penumbral terminator on ellipsoid */
/* -& */
/* SPICELIB functions */
/* Local parameters */
/* Local variables */
/* Standard SPICELIB error handling. */
/* Parameter adjustments */
trmpts_dim2 = *npts;
/* Function Body */
if (return_()) {
return 0;
}
chkin_("ZZEDTERM", (ftnlen)8);
/* Check the terminator type. */
ljust_(type__, loctyp, type_len, (ftnlen)50);
ucase_(loctyp, loctyp, (ftnlen)50, (ftnlen)50);
if (s_cmp(loctyp, "UMBRAL", (ftnlen)50, (ftnlen)6) == 0) {
umbral = TRUE_;
} else if (s_cmp(loctyp, "PENUMBRAL", (ftnlen)50, (ftnlen)9) == 0) {
umbral = FALSE_;
} else {
setmsg_("Terminator type must be UMBRAL or PENUMBRAL but was actuall"
"y #.", (ftnlen)63);
errch_("#", type__, (ftnlen)1, type_len);
sigerr_("SPICE(NOTSUPPORTED)", (ftnlen)19);
chkout_("ZZEDTERM", (ftnlen)8);
return 0;
}
/* Check the terminator set dimension. */
if (*npts < 1) {
setmsg_("Set must contain at least one point; NPTS = #.", (ftnlen)47)
;
errint_("#", npts, (ftnlen)1);
sigerr_("SPICE(INVALIDSIZE)", (ftnlen)18);
chkout_("ZZEDTERM", (ftnlen)8);
return 0;
}
/* The ellipsoid semi-axes must have positive length. */
if (*a <= 0. || *b <= 0. || *c__ <= 0.) {
setmsg_("Semi-axis lengths: A = #, B = #, C = #. ", (ftnlen)41);
errdp_("#", a, (ftnlen)1);
errdp_("#", b, (ftnlen)1);
errdp_("#", c__, (ftnlen)1);
sigerr_("SPICE(INVALIDAXISLENGTH)", (ftnlen)24);
chkout_("ZZEDTERM", (ftnlen)8);
return 0;
}
/* Check the input light source radius. */
if (*srcrad <= 0.) {
setmsg_("Light source must have positive radius; actual radius was #."
, (ftnlen)60);
errdp_("#", srcrad, (ftnlen)1);
sigerr_("SPICE(INVALIDRADIUS)", (ftnlen)20);
chkout_("ZZEDTERM", (ftnlen)8);
return 0;
}
/* The light source must not intersect the outer bounding */
/* sphere of the ellipsoid. */
d__ = vnorm_(srcpos);
/* Computing MAX */
d__1 = max(*a,*b);
rmax = max(d__1,*c__);
/* Computing MIN */
d__1 = min(*a,*b);
rmin = min(d__1,*c__);
if (*srcrad + rmax >= d__) {
/* The light source is too close. */
setmsg_("Light source intersects outer bounding sphere of the ellips"
"oid. Light source radius = #; ellipsoid's longest axis = #;"
" sum = #; distance between centers = #.", (ftnlen)158);
errdp_("#", srcrad, (ftnlen)1);
errdp_("#", &rmax, (ftnlen)1);
d__1 = *srcrad + rmax;
errdp_("#", &d__1, (ftnlen)1);
errdp_("#", &d__, (ftnlen)1);
sigerr_("SPICE(OBJECTSTOOCLOSE)", (ftnlen)22);
chkout_("ZZEDTERM", (ftnlen)8);
return 0;
}
/* Find bounds on the angular size of the target as seen */
/* from the source. */
/* Computing MIN */
d__1 = rmax / d__;
minang = asin((min(d__1,1.)));
/* Computing MIN */
d__1 = rmin / d__;
maxang = asin((min(d__1,1.)));
/* Let the inverse of the ellipsoid-light source vector be the */
/* Z-axis of a frame we'll use to generate the terminator set. */
vminus_(srcpos, z__);
frame_(z__, x, y);
/* Create the rotation matrix required to convert vectors */
/* from the source-centered frame back to the target body-fixed */
/* frame. */
vequ_(x, trans);
vequ_(y, &trans[3]);
vequ_(z__, &trans[6]);
/* Find the maximum and minimum target radii. */
/* Computing MAX */
d__1 = max(*a,*b);
maxrad = max(d__1,*c__);
/* Computing MIN */
d__1 = min(*a,*b);
minrad = min(d__1,*c__);
if (umbral) {
/* Compute the angular offsets from the axis of rays tangent to */
/* both the source and the bounding spheres of the target, where */
/* the tangency points lie in a half-plane bounded by the line */
/* containing the origin and SRCPOS. (We'll call this line */
/* the "axis.") */
/* OUTANG corresponds to the target's outer bounding sphere; */
/* INANG to the inner bounding sphere. */
outang = asin((*srcrad - maxrad) / d__);
inang = asin((*srcrad - minrad) / d__);
} else {
/* Compute the angular offsets from the axis of rays tangent to */
/* both the source and the bounding spheres of the target, where */
/* the tangency points lie in opposite half-planes bounded by the */
/* axis (compare the case above). */
/* OUTANG corresponds to the target's outer bounding sphere; */
/* INANG to the inner bounding sphere. */
outang = asin((*srcrad + maxrad) / d__);
inang = asin((*srcrad + minrad) / d__);
}
/* Compute the angular delta we'll use for generating */
/* terminator points. */
delta = twopi_() / *npts;
/* Generate the terminator points. */
i__1 = *npts;
for (i__ = 1; i__ <= i__1; ++i__) {
theta = (i__ - 1) * delta;
/* Let SRCPT be the surface point on the source lying in */
/* the X-Y plane of the frame produced by FRAME */
/* and corresponding to the angle THETA. */
latrec_(srcrad, &theta, &c_b30, srcpt);
/* Now solve for the angle by which SRCPT must be rotated (toward */
/* +Z in the umbral case, away from +Z in the penumbral case) */
/* so that a plane tangent to the source at SRCPT is also tangent */
/* to the target. The rotation is bracketed by OUTANG on the low */
/* side and INANG on the high side in the umbral case; the */
/* bracketing values are reversed in the penumbral case. */
if (umbral) {
angle = outang;
} else {
angle = inang;
}
prvdif = twopi_();
prvang = angle + halfpi_();
nitr = 0;
for(;;) { /* while(complicated condition) */
d__2 = (d__1 = angle - prvang, abs(d__1));
if (!(nitr <= 10 && touchd_(&d__2) < prvdif))
break;
++nitr;
d__2 = (d__1 = angle - prvang, abs(d__1));
prvdif = touchd_(&d__2);
prvang = angle;
/* Find the closest point on the ellipsoid to the plane */
/* corresponding to "ANGLE". */
/* The tangent point on the source is obtained by rotating */
/* SRCPT by ANGLE towards +Z. The plane's normal vector is */
/* parallel to VTX in the source-centered frame. */
latrec_(srcrad, &theta, &angle, vtx);
vequ_(vtx, dir);
/* VTX and DIR are expressed in the source-centered frame. We */
/* must translate VTX to the target frame and rotate both */
/* vectors into that frame. */
mxv_(trans, vtx, vtemp);
vadd_(srcpos, vtemp, vtx);
mxv_(trans, dir, vtemp);
vequ_(vtemp, dir);
/* Create the plane defined by VTX and DIR. */
nvp2pl_(dir, vtx, plane);
/* Find the closest point on the ellipsoid to the plane. At */
/* the point we seek, the outward normal on the ellipsoid is */
/* parallel to the choice of plane normal that points away */
/* from the origin. We can always obtain this choice from */
/* PL2NVC. */
pl2nvc_(plane, dir, &plcons);
/* At the point */
/* E = (x, y, z) */
/* on the ellipsoid's surface, an outward normal */
/* is */
/* N = ( x/A**2, y/B**2, z/C**2 ) */
/* which is also */
/* lambda * ( DIR(1), DIR(2), DIR(3) ) */
/* Equating components in the normal vectors yields */
/* E = lambda * ( DIR(1)*A**2, DIR(2)*B**2, DIR(3)*C**2 ) */
/* Taking the inner product with the point E itself and */
/* applying the ellipsoid equation, we find */
/* lambda * <DIR, E> = < N, E > = 1 */
/* The first term above is */
/* lambda**2 * || ( A*DIR(1), B*DIR(2), C*DIR(3) ) ||**2 */
/* So the positive root lambda is */
/* 1 / || ( A*DIR(1), B*DIR(2), C*DIR(3) ) || */
/* Having lambda we can compute E. */
d__1 = *a * dir[0];
d__2 = *b * dir[1];
d__3 = *c__ * dir[2];
vpack_(&d__1, &d__2, &d__3, v);
lambda = 1. / vnorm_(v);
d__1 = *a * v[0];
d__2 = *b * v[1];
d__3 = *c__ * v[2];
vpack_(&d__1, &d__2, &d__3, e);
vscl_(&lambda, e, &trmpts[(i__2 = i__ * 3 - 3) < trmpts_dim2 * 3
&& 0 <= i__2 ? i__2 : s_rnge("trmpts", i__2, "zzedterm_",
(ftnlen)586)]);
/* Make a new estimate of the plane rotation required to touch */
/* the target. */
vsub_(&trmpts[(i__2 = i__ * 3 - 3) < trmpts_dim2 * 3 && 0 <= i__2
? i__2 : s_rnge("trmpts", i__2, "zzedterm_", (ftnlen)592)]
, vtx, offset);
/* Let ANGERR be an estimate of the magnitude of angular error */
/* between the plane and the terminator. */
angerr = vsep_(dir, offset) - halfpi_();
/* Let S indicate the sign of the altitude error: where */
/* S is positive, the plane is above E. */
d__1 = vdot_(e, dir);
s = d_sign(&c_b35, &d__1);
if (umbral) {
/* If the plane is above the target, increase the */
/* rotation angle; otherwise decrease the angle. */
angle += s * angerr;
} else {
/* This is the penumbral case; decreasing the angle */
/* "lowers" the plane toward the target. */
angle -= s * angerr;
}
}
}
chkout_("ZZEDTERM", (ftnlen)8);
return 0;
} /* zzedterm_ */
/* $Procedure EQNCPV (Equinoctial Elements to position and velocity) */
/* Subroutine */ int eqncpv_(doublereal *et, doublereal *epoch, doublereal *
eqel, doublereal *rapol, doublereal *decpol, doublereal *state)
{
/* Initialized data */
static logical first = TRUE_;
/* System generated locals */
doublereal d__1;
/* Builtin functions */
double sqrt(doublereal), sin(doublereal), cos(doublereal), d_mod(
doublereal *, doublereal *);
/* Local variables */
doublereal nfac, node, mldt, temp[3], a, b, h__, k, l, eecan, p, q, r__;
extern /* Subroutine */ int chkin_(char *, ftnlen);
doublereal dlpdt, prate;
extern /* Subroutine */ int errdp_(char *, doublereal *, ftnlen);
doublereal xhold[6];
extern /* Subroutine */ int vlcom_(doublereal *, doublereal *, doublereal
*, doublereal *, doublereal *);
doublereal trans[9] /* was [3][3] */;
extern doublereal twopi_(void);
doublereal x1, y1;
extern /* Subroutine */ int vlcom3_(doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *);
doublereal ca, cd, cf, di, cn, ra, sa, rb, sd, dt, sf, ml, dx, dy, vf[3],
vg[3], sn, nodedt;
extern doublereal kepleq_(doublereal *, doublereal *, doublereal *);
extern /* Subroutine */ int sigerr_(char *, ftnlen), chkout_(char *,
ftnlen), setmsg_(char *, ftnlen);
static doublereal pi2;
doublereal dx1, dy1;
extern logical return_(void);
doublereal ecc, can, dlp, san;
extern /* Subroutine */ int mxv_(doublereal *, doublereal *, doublereal *)
;
/* $ Abstract */
/* Compute the state (position and velocity of an object whose */
/* trajectory is described via equinoctial elements relative to some */
/* fixed plane (usually the equatorial plane of some planet). */
/* $ 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 */
/* EPHEMERIS */
/* $ Declarations */
/* $ Brief_I/O */
/* VARIABLE I/O DESCRIPTION */
/* -------- --- -------------------------------------------------- */
/* ET I Epoch in seconds past J2000 to find state */
/* EPOCH I Epoch of elements in seconds past J2000 */
/* EQEL I Array of equinoctial elements */
/* RAPOL I Right Ascension of the pole of the reference plane */
/* DECPOL I Declination of the pole of the reference plane */
/* STATE O State of the object described by EQEL. */
/* $ Detailed_Input */
/* ET is the epoch (ephemeris time) at which the state */
/* of the target body is to be computed. ET is measured */
/* in seconds past the J2000 epoch. */
/* EPOCH is the epoch of the equinoctial elements in seconds */
/* past the J2000 epoch. */
/* EQEL is an array of 9 double precision numbers that */
/* are the equinoctial elements for some orbit expressed */
/* relative to the equatorial frame of the central body. */
/* (The z-axis of the equatorial frame is the direction */
/* of the pole of the central body relative to some */
/* inertial frame. The x-axis is given by the cross */
/* product of the Z-axis of the inertial frame */
/* with the direction of the pole of the central body. */
/* The Y-axis completes a right handed frame. */
/* (If the z-axis of the equatorial frame is aligned */
/* with the z-axis of the inertial frame, then the */
/* x-axis of the equatorial frame will be located at */
/* 90 degrees + RAPOL in the inertial frame.) */
/* The specific arrangement of the elements is spelled */
/* out below. The following terms are used in the */
/* discussion of elements of EQEL */
/* INC --- inclination of the orbit */
/* ARGP --- argument of periapse */
/* NODE --- longitude of the ascending node */
/* E --- eccentricity of the orbit */
/* EQEL(1) is the semi-major axis (A) of the orbit in km. */
/* EQEL(2) is the value of H at the specified epoch. */
/* ( E*SIN(ARGP+NODE) ). */
/* EQEL(3) is the value of K at the specified epoch */
/* ( E*COS(ARGP+NODE) ). */
/* EQEL(4) is the mean longitude (MEAN0+ARGP+NODE)at */
/* the epoch of the elements measured in radians. */
/* EQEL(5) is the value of P (TAN(INC/2)*SIN(NODE))at */
/* the specified epoch. */
/* EQEL(6) is the value of Q (TAN(INC/2)*COS(NODE))at */
/* the specified epoch. */
/* EQEL(7) is the rate of the longitude of periapse */
/* (dARGP/dt + dNODE/dt ) at the epoch of */
/* the elements. This rate is assumed to hold */
/* for all time. The rate is measured in */
/* radians per second. */
/* EQEL(8) is the derivative of the mean longitude */
/* ( dM/dt + dARGP/dt + dNODE/dt ). This */
/* rate is assumed to be constant and is */
/* measured in radians/second. */
/* EQEL(9) is the rate of the longitude of the ascending */
/* node ( dNODE/dt). This rate is measured */
/* in radians per second. */
/* RAPOL Right Ascension of the pole of the reference plane */
/* with respect to some inertial frame (measured in */
/* radians). */
/* DECPOL Declination of the pole of the reference plane */
/* with respect to some inertial frame (measured in */
/* radians). */
/* $ Detailed_Output */
/* STATE State of the object described by EQEL relative to the */
/* inertial frame used to define RAPOL and DECPOL. Units */
/* are in km and km/sec. */
/* $ Parameters */
/* None. */
/* $ Exceptions */
/* 1) If the eccentricity corresponding to the input elements is */
/* greater than 0.9, the error SPICE(ECCOUTOFRANGE) is signalled. */
/* 2) If the semi-major axis of the elements is non-positive, the */
/* error SPICE(BADSEMIAXIS) is signalled. */
/* $ Files */
/* None. */
/* $ Particulars */
/* This routine evaluates the input equinoctial elements for */
/* the specified epoch and return the corresponding state. */
/* This routine was adapted from a routine provided by */
/* Bob Jacobson of the Planetary Dynamics Group of */
/* the Navigation and Flight Mechanics Section at JPL. */
/* $ Examples */
/* Suppose you have classical elements and rates of */
/* change of the ascending node and argument of periapse */
/* for some satellite of the earth. */
/* By transforming the classical elements */
/* this routine can be used to compute the state of the */
/* object at an arbitrary epoch. The code below illustrates */
/* how you might do this. */
/* The table below illustrates the meanings of the various */
/* variables used in the discussion below. */
/* Variable Meaning */
/* -------- ---------------------------------- */
/* A Semi-major axis in km */
/* ECC Eccentricity of orbit */
/* INC Inclination of orbit */
/* NODE Longitude of the ascending node at epoch */
/* OMEGA Argument of periapse at epoch */
/* M Mean anomaly at epoch */
/* DMDT Mean anomaly rate in radians/second */
/* DNODE Rate of change of longitude of ascending node */
/* in radians/second */
/* DARGP Rate of change of argument of periapse in */
/* radians/second */
/* EPOCH is the epoch of the elements in seconds past */
/* the J2000 epoch. */
/* EQEL(1) = A */
/* EQEL(2) = ECC * DSIN ( OMEGA + NODE ) */
/* EQEL(3) = ECC * DCOS ( OMEGA + NODE ) */
/* EQEL(4) = M + OMEGA + NODE */
/* EQEL(5) = TAN(INC/2.0D0) * DSIN(NODE) */
/* EQEL(6) = TAN(INC/2.0D0) * DCOS(NODE) */
/* EQEL(7) = DARGP */
/* EQEL(8) = DARGP + DMDT + DNODE */
/* EQEL(9) = DNODE */
/* We shall compute the state of the satellite in the */
/* pole and equator reference system. */
/* RAPOL = -HALFPI() */
/* DECPOL = HALFPI() */
/* Now compute the state at the desired epoch ET. */
/* CALL EQNCPV ( ET, EPOCH, EQEL, RAPOL, DECPOL, STATE ) */
/* $ Restrictions */
/* The equinoctial elements used by this routine are taken */
/* from "Tangent" formulation of equinoctial elements */
/* p = Tan(inclination/2) * Sin(R.A. of ascending node) */
/* q = Tan(inclination/2) * Cos(R.A. of ascending node) */
/* Other formulations use Sine instead of Tangent. We shall */
/* call these the "Sine" formulations. */
/* p = Sin(inclination/2) * Sin(R.A. of ascending node) */
/* q = Sin(inclination/2) * Cos(R.A. of ascending node) */
/* If you have equinoctial elements from this alternative */
/* formulation you should replace p and q by the */
/* expressions below. */
/* P = P / DSQRT ( 1.0D0 - P*P - Q*Q ) */
/* Q = Q / DSQRT ( 1.0D0 - P*P - Q*Q ) */
/* This will convert the Sine formulation to the Tangent formulation. */
/* $ Literature_References */
/* JPL Engineering Memorandum 314-513 "Optical Navigation Program */
/* Mathematical Models" by William M. Owen, Jr. and Robin M Vaughan */
/* August 9, 1991 */
/* $ Author_and_Institution */
/* W.L. Taber (JPL) */
/* R.A. Jacobson (JPL) */
/* B.V. Semenov (JPL) */
/* $ Version */
/* - SPICELIB Version 1.0.2, 18-MAY-2010 (BVS) */
/* Removed "C$" marker from text in the header. */
/* - SPICELIB Version 1.0.1, 31-JAN-2008 (BVS) */
/* Removed non-standard header section heading */
/* 'Declarations_of_external_functions'. */
/* - SPICELIB Version 1.0.0, 8-JAN-1997 (WLT) */
/* -& */
/* $ Index_Entries */
/* Compute a state from equinoctial elements */
/* -& */
/* SPICELIB Functions. */
/* LOCAL VARIABLES */
/* Constants computed on first pass */
/* Standard SPICE exception handling code. */
if (return_()) {
return 0;
}
chkin_("EQNCPV", (ftnlen)6);
/* The first time through this routine we fetch the various */
/* constants we need for this routine. */
if (first) {
first = FALSE_;
pi2 = twopi_();
}
/* Take care of the various errors that can arise with the */
/* input elements. */
if (eqel[0] <= 0.) {
setmsg_("The semi-major axis supplied to EQNCPV was non-positive. Th"
"e value is required to be positive by this routine. The valu"
"e supplied was #. ", (ftnlen)137);
errdp_("#", eqel, (ftnlen)1);
sigerr_("SPICE(BADSEMIAXIS)", (ftnlen)18);
chkout_("EQNCPV", (ftnlen)6);
return 0;
}
ecc = sqrt(eqel[1] * eqel[1] + eqel[2] * eqel[2]);
if (ecc > .9) {
setmsg_("The routine EQNCPV can reliably evaluate states from equino"
"ctial elements if the eccentricity of the orbit associated w"
"ith the elements is less than 0.9. The eccentricity associa"
"ted with the elements supplies is #. The values of H and K "
"are: # and # respectively. ", (ftnlen)266);
errdp_("#", &ecc, (ftnlen)1);
errdp_("#", &eqel[1], (ftnlen)1);
errdp_("#", &eqel[2], (ftnlen)1);
sigerr_("SPICE(ECCOUTOFRANGE)", (ftnlen)20);
chkout_("EQNCPV", (ftnlen)6);
return 0;
}
/* Form the transformation from planetary equator to the inertial */
/* reference frame. */
sa = sin(*rapol);
ca = cos(*rapol);
sd = sin(*decpol);
cd = cos(*decpol);
trans[0] = -sa;
trans[3] = -ca * sd;
trans[6] = ca * cd;
trans[1] = ca;
trans[4] = -sa * sd;
trans[7] = sa * cd;
trans[2] = 0.;
trans[5] = cd;
trans[8] = sd;
/* Compute the offset of the input epoch (ET) from the */
/* epoch of the elements. */
dt = *et - *epoch;
/* Obtain the elements, rates, and other parameters. First get */
/* the semi-major axis. */
a = eqel[0];
/* Recall that H and K at the epoch of the elements are in */
/* EQEL(2) and EQEL(3) respectively. */
/* H_0 = E*Sin(ARGP_0 + NODE_0 ) */
/* K_0 = E*Cos(ARGP_0 + NODE_0 ) */
/* The values of H and K at the epoch of interest is */
/* H_dt = E*Sin(ARGP_0 + NODE_0 + dt*d(ARGP+NODE)/dt ) */
/* K_dt = E*Cos(ARGP_0 + NODE_0 + dt*d(ARGP+NODE)/dt ) */
/* But using the identities Sin(A+B) = Sin(A)Cos(B) + Sin(B)Cos(A) */
/* Cos(A+B) = Cos(A)Cos(B) - Sin(A)Sin(B) */
/* We can re-write the expression for H_dt and K_dt as */
/* H_dt = E*Sin(ARGP_0 + NODE_0 )Cos(dt*d(ARGP+NODE)/dt ) */
/* + E*Cos(ARGP_0 + NODE_0 )Sin(dt*d(ARGP+NODE)/dt ) */
/* = H_0 * Cos(dt*d(ARGP+NODE)/dt ) */
/* + K_0 * Sin(dt*d(ARGP+NODE)/dt ) */
/* and */
/* K_dt = E*Cos(ARGP_0 + NODE_0)Cos(dt*d(ARGP+NODE)/dt) */
/* - E*Sin(ARGP_0 + NODE_0)Sin(dt*d(ARGP+NODE)/dt) */
/* = K_0 * Cos(dt*d(ARGP+NODE)/dt) */
/* - H_0 * Sin(dt*d(ARGP+NODE)/dt) */
/* Thus we can easily compute H and K at the current epoch. */
/* Recall that the derivative of the longitude of periapse is */
/* in entry 7 of EQEL. */
dlpdt = eqel[6];
dlp = dt * dlpdt;
can = cos(dlp);
san = sin(dlp);
h__ = eqel[1] * can + eqel[2] * san;
k = eqel[2] * can - eqel[1] * san;
/* The mean longitude at epoch is in the 4th element of EQEL. */
l = eqel[3];
/* The values for P and Q at epoch are stored in entries 5 and 6 */
/* of the array EQEL. Recall that */
/* P_0 = TAN(INC/2)*SIN(NODE_0) */
/* Q_0 = TAN(INC/2)*COS(NODE_0) */
/* We need P and Q offset from the initial epoch by DT. */
/* P = TAN(INC/2)*SIN(NODE_0 + dt*dNODE/dt) */
/* Q = TAN(INC/2)*COS(NODE_0 + dt*dNODE/dt) */
/* Applying the same identities as we did before we have */
/* P = P_0 * Cos( dt*dNODE/dt ) + Q_0 * Sin( dt*dNODE/dt ) */
/* Q = Q_0 * Cos( dt*dNODE/dt ) - P_0 * Sin( dt*dNODE/dt ) */
nodedt = eqel[8];
node = dt * nodedt;
cn = cos(node);
sn = sin(node);
p = eqel[4] * cn + eqel[5] * sn;
q = eqel[5] * cn - eqel[4] * sn;
mldt = eqel[7];
/* We compute the rate of change of the argument of periapse */
/* by taking the difference between the rate of the longitude */
/* of periapse and the rate of the node. */
prate = dlpdt - nodedt;
/* Form Broucke's beta parameter */
b = sqrt(1. - h__ * h__ - k * k);
b = 1. / (b + 1.);
/* Construct the coordinate axes */
di = 1. / (p * p + 1. + q * q);
vf[0] = (1. - p * p + q * q) * di;
vf[1] = p * 2. * q * di;
vf[2] = p * -2. * di;
vg[0] = p * 2. * q * di;
vg[1] = (p * p + 1. - q * q) * di;
vg[2] = q * 2. * di;
/* Compute the mean longitude */
d__1 = mldt * dt;
ml = l + d_mod(&d__1, &pi2);
/* Obtain the eccentric longitude from Kepler's equation */
eecan = kepleq_(&ml, &h__, &k);
/* Trigonometric functions of the eccentric longitude */
sf = sin(eecan);
cf = cos(eecan);
/* Position in the orbit plane */
/* Computing 2nd power */
d__1 = h__;
x1 = a * ((1. - b * (d__1 * d__1)) * cf + (h__ * k * b * sf - k));
/* Computing 2nd power */
d__1 = k;
y1 = a * ((1. - b * (d__1 * d__1)) * sf + (h__ * k * b * cf - h__));
/* Radial distance and functions of the radial distance */
rb = h__ * sf + k * cf;
r__ = a * (1. - rb);
ra = mldt * a * a / r__;
/* Velocity in the orbit plane */
dx1 = ra * (-sf + h__ * b * rb);
dy1 = ra * (cf - k * b * rb);
/* Correction factor for periapsis rate */
nfac = 1. - dlpdt / mldt;
/* Include precession in velocity */
dx = nfac * dx1 - prate * y1;
dy = nfac * dy1 + prate * x1;
/* Form the planetary mean equator position vector */
vlcom_(&x1, vf, &y1, vg, xhold);
/* Form the planetary mean equator velocity vector */
temp[0] = -nodedt * xhold[1];
temp[1] = nodedt * xhold[0];
temp[2] = 0.;
vlcom3_(&c_b13, temp, &dx, vf, &dy, vg, &xhold[3]);
/* Transform to an inertial state vector */
mxv_(trans, xhold, state);
mxv_(trans, &xhold[3], &state[3]);
chkout_("EQNCPV", (ftnlen)6);
return 0;
} /* eqncpv_ */