void problem_inloop(){
if(output_check(M_PI*2.)){
output_timing();
}
if(output_check(M_PI*2.*100.)){ // output every 100 years
FILE* f = fopen("a.txt","a");
const struct particle planet = particles[1];
for (int i=2;i<N;i++){
const struct particle p = particles[i];
const double prx = p.x-planet.x;
const double pry = p.y-planet.y;
const double prz = p.z-planet.z;
const double pr = sqrt(prx*prx + pry*pry + prz*prz); // distance relative to star
const double pvx = p.vx-planet.vx;
const double pvy = p.vy-planet.vy;
const double pvz = p.vz-planet.vz;
const double pv = sqrt(pvx*pvx + pvy*pvy + pvz*pvz); // distance relative to star
const double a = -G*planet.m/( pv*pv - 2.*G*planet.m/pr ); // semi major axis
fprintf(f,"%e\t%e\n",t,a);
}
fclose(f);
}
}
void problem_output(){
if (output_check(1e-1*2.*M_PI/OMEGA)){
output_timing();
}
if (output_check(.2*M_PI/OMEGA)){
output_ascii_mod("ascii.txt");
}
}
void problem_output(){
if (output_check(1000.*dt)){
output_timing();
}
if (output_check(3652422.)){ // output heliocentric orbital elements every 10000 years
output_append_orbits("orbits.txt");
}
}
void problem_output(){
if(output_check(tmax/10000.)){ // outputs to the screen
output_timing();
}
// Output the time and the current timestep. Plot it to see how IAS15 automatically reduces the timestep at pericentre.
FILE* of = fopen("timestep.txt","a");
fprintf(of,"%e\t%e\t\n",t/tmax,dt/tmax);
fclose(of);
}
void problem_output(){
// Output some information to the screen every 100th timestep
if(output_check(100.*dt)){
output_timing();
}
// Output the particle position to a file every timestep.
FILE* f = fopen("r.txt","a");
fprintf(f,"%e\t%e\t%e\n",t,particles[0].x, particles[1].vx);
fclose(f);
}
void problem_output(){
if (output_check(10000.)){
output_timing();
integrator_synchronize();
FILE* f = fopen("energy.txt","a");
double e = energy();
fprintf(f,"%e %e %e\n",t, fabs((e-e_init)/e_init), tools_megno());
fclose(f);
printf(" Y = %.3f",tools_megno());
}
}
void problem_output(){
if (output_check(10.*2.*M_PI)){
output_timing();
}
if (output_check(2.*M_PI)){
FILE* f = fopen("energy.txt","a");
integrator_synchronize();
double e = tools_energy();
fprintf(f,"%e %e\n",t, fabs((e-e_init)/e_init));
fclose(f);
}
}
void problem_output(){
if (output_check(1000.*dt)){
output_timing();
}
if (output_check(362.)){
// Output the time and the MEGNO to the screen and a file.
FILE* f = fopen("Y.txt","a+");
fprintf(f," %.20e %.20e\n",t, tools_megno());
printf(" %.20e %.20e\n",t, tools_megno());
fclose(f);
}
}
void problem_init(int argc, char* argv[]) {
// Setup constants
integrator = WHFAST;
dt = 0.001*2.*M_PI; // initial timestep (in days)
init_boxwidth(200);
// Initial conditions
{
struct particle p = {.m=1.,.x=0,.y=0.,.z=0.,.vx=0,.vy=0.,.vz=0.};
particles_add(p);
}
{
double e = 0.999;
struct particle p = {.m=0.,.x=0.01,.y=0.,.z=0.,.vx=0,.vy=0.*sqrt((1.+e)/(1.-e)),.vz=0.};
particles_add(p);
}
tools_move_to_center_of_momentum();
//problem_additional_forces = additional_forces;
// Add megno particles
//tools_megno_init(1e-16); // N = 6 after this function call.
system("rm -f *.txt");
ei = energy();
}
void additional_forces() {
particles[1].ax += 0.12/6.;
}
double energy() {
double e_kin = 0.;
double e_pot = 0.;
struct particle pi = particles[1];
e_kin += 0.5 * (pi.vx*pi.vx + pi.vy*pi.vy + pi.vz*pi.vz);
struct particle pj = particles[0];
double dx = pi.x - pj.x;
double dy = pi.y - pj.y;
double dz = pi.z - pj.z;
e_pot -= G*pj.m/sqrt(dx*dx + dy*dy + dz*dz);
return e_kin +e_pot;
}
int no =0;
void problem_output() {
no++;
// printf("%d\n", no);
if (output_check(1000.*dt)) {
output_timing();
}
// FILE* f = fopen("Y.txt","a+");
// fprintf(f,"%e %e %e\n",t,(energy()-ei)/ei,tools_megno());
// fclose(f);
}
void problem_output(){
#ifdef LIBPNG
if (output_check(1e-3*2.*M_PI/OMEGA)){
output_png("png/");
}
#endif //LIBPNG
if (output_check(1e-3*2.*M_PI/OMEGA)){
output_timing();
//output_append_velocity_dispersion("veldisp.txt");
}
if (output_check(2.*M_PI/OMEGA)){
//output_ascii("position.txt");
}
}
void problem_output(){
if(output_check(4000.*dt)){ // output something to screen
output_timing();
}
if(output_check(M_PI*2.*0.01)){ // output semimajor axis to file
FILE* f = fopen("a.txt","a");
const struct particle planet = particles[0];
for (int i=1;i<N;i++){
struct orbit o = tools_p2orbit(particles[i],planet);
fprintf(f,"%.15e\t%.15e\t%.15e\t%.15e\n",t,o.a,o.e,o.omega);
}
fclose(f);
}
}
void problem_output(){
if (output_check(10.0*dt)){
output_timing();
}
for (int i=N_active;i<N;i++){
struct particle p = particles[i];
double r = sqrt(p.x*p.x + p.y*p.y + p.z*p.z);
// Remove particles falling into the star.
if (r<0.03){
particles[i] = particles[N-1];
i--;
N--;
}
}
}
void problem_output(){
if (t>0){
// The damping is done at the end of the timestep rather than in the loop
// because we need the position and velocities at the same time to
// calculate orbital elements. We also update both the positions
// and velocities in these routines.
problem_adot();
problem_edot();
}
if(output_check(10000.*dt)){
output_timing();
}
if(output_check(10.)){
output_orbits_append("orbits.txt");
}
}
void problem_finish(){
// Output final state
if (output_check(dt/2)) output_timing();
if (output_check(dt/2)) output_append_ascii("rebound.txt");
/*FILE* of = fopen("error.txt","a+");
double error= N_init-N;
struct timeval tim;
gettimeofday(&tim, NULL);
double timing_final = tim.tv_sec+(tim.tv_usec/1000000.0);
double error_limit = 0.1;
int pass = (error>error_limit?0:1);
fprintf(of,"%d\t%e\t%e\t%e\t%d\t%e\t",N,dt,error,error_limit,pass,timing_final-timing_initial);
fprintf(of,"N_init = %d",N_init);
fprintf(of,"\n");
fclose(of);*/
}
void problem_output() {
output_timing();
if (t>tmax/2.) {
if(reset==1) {
collisions_plog_last = t;
collisions_plog = 0;
nuN = 0;
nutrans_tot = 0;
nucoll_tot = 0;
nugrav_tot = 0;
reset = 0;
} else {
// Calculate viscosity
nutrans_tot += calculate_viscosity_trans();
nugrav_tot += calculate_viscosity_grav();
nucoll_tot = calculate_viscosity_coll();
nuN++;
}
}
}
void problem_inloop(){
if(output_check(tmax/10000.)){ // outputs to the screen
output_timing();
}
}
void problem_output(){
if (output_check(10.0*dt)) output_timing();
if (output_check(1.)) output_ascii("ascii.txt");
}
void problem_output(){
output_timing();
}
void problem_output(){
if (output_check(2.*M_PI)){
output_timing();
}
}
void problem_inloop(){
if(output_check(100.*dt)){
output_timing();
}
}
void problem_output(){
output_timing();
if (output_check(2.*M_PI)){
output_orbits("orbit.txt");
}
}
void problem_output(){
// Screen and file output
if (output_check(Nsteps_per_output*dt)) output_timing();
if (output_check(Nsteps_per_output*dt)) output_append_ascii("rebound.txt");
}
void problem_output(){
if (output_check(10.0*dt)) output_timing();
}
void problem_output(){
//conditions for entering loops
int output_var=0;
if(output_check(tmax/10000.)) output_var = 1; //Used to be 100,000
else if(t < tide_delay && output_check(100.)) output_var = 1; //used to be 100
int tide_go = 0;
if(tides_on == 1 && tide_force == 0 && t > tide_delay) tide_go = 1;
//**Main Loop**
if(output_var == 1 || tide_go == 1){
//Calculate Orbital Elements
struct particle com = particles[0];
double r_nrgy[N]; //calculating energy of particle
double v2_nrgy[N];
double m_nrgy[N];
for(int i=1;i<N;i++){
struct particle* par = &(particles[i]);
const double m = par->m;
const double mu = G*(com.m + m);
const double rp = par->r*0.00464913; //Rp from Solar Radii to AU, G=1, [t]=yr/2pi, [m]=m_star
const double Qp = par->k2/(par->Q);
const double dvx = par->vx-com.vx;
const double dvy = par->vy-com.vy;
const double dvz = par->vz-com.vz;
const double dx = par->x-com.x;
const double dy = par->y-com.y;
const double dz = par->z-com.z;
const double v = sqrt ( dvx*dvx + dvy*dvy + dvz*dvz );
const double r = sqrt ( dx*dx + dy*dy + dz*dz );
const double rinv = 1./r; //some extra terms to speed up code
const double vr = (dx*dvx + dy*dvy + dz*dvz)*rinv;
const double muinv = 1./mu;
const double term1 = v*v-mu*rinv;
const double term2 = r*vr;
const double ex = muinv*( term1*dx - term2*dvx );
const double ey = muinv*( term1*dy - term2*dvy );
const double ez = muinv*( term1*dz - term2*dvz );
double e = sqrt( ex*ex + ey*ey + ez*ez ); // eccentricity
// true anomaly + periapse (wiki, Fund. of Astrodyn. and App., by Vallado, 2007)
const double rdote = dx*ex + dy*ey + dz*ez;
double cosf = rdote/(e*r);
if(cosf >= 1.) cosf = 1.;
if(cosf <= -1.) cosf = -1.;
double sinf = sqrt(1. - cosf*cosf);
if(vr < 0.) sinf *= -1.;
double sinwf = dy*rinv;
double coswf = dx*rinv;
double a = r*(1. + e*cosf)/(1. - e*e);
double n;
//Test for collision
if(N < _N+1 && collision_print == 0){
printf("\n\n system %s with e_ini=%f,e_now=%f had a collision!! \n\n",Keplername,e_ini,e);
FILE *append;
append=fopen("python_scripts/Kepler_e_coll.txt", "a");
fprintf(append,"%s,%e,%e\n",Keplername,e_ini,t);
fclose(append);
collision_print = 1;
}
//Energy calculation - values may be updated via tides, but probably won't matter
r_nrgy[i] = r;
v2_nrgy[i] = v*v;
m_nrgy[i] = m;
//Tides
if(tide_go == 1 && i<=planets_with_tides){
const double a2 = a*a;
const double rp2 = rp*rp;
const double R5a5 = rp2*rp2*rp/(a2*a2*a);
const double GM3a3 = sqrt(G*com.m*com.m*com.m/(a2*a));
const double de = -dt*(9.*M_PI*0.5)*Qp*GM3a3*R5a5*e/m; //Tidal change for e
const double da = 2.*a*e*de; //Tidal change for a
a += da;
e += de;
integrator_whfast_particles_modified = 1;
/*
//Test repulsion vs. tugging (change w to put planets out of res)
if(repuls_v_tugg_on == 0 && i==1 && p_suppress == 0){
repuls_v_tugg_on = 1;
double angle_change = 0.34*(M_PI/180.);
double costemp = coswf;
double sintemp = sinwf;
coswf = costemp*cos(angle_change) - sintemp*sin(angle_change);
sinwf = sintemp*cos(angle_change) - costemp*sin(angle_change);
printf("\n ***Testing Repulsion vs. tugging. Planets put out of resonance.*** \n");
}*/
//Re-update coords.
const double r_new = a*(1. - e*e)/(1. + e*cosf);
const double x_new = r_new*coswf + com.x;
const double y_new = r_new*sinwf + com.y;
n = sqrt(mu/(a*a*a));
const double term = n*a/sqrt(1.- e*e);
const double rdot = term*e*sinf;
const double rfdot = term*(1. + e*cosf);
const double vx_new = rdot*coswf - rfdot*sinwf + com.vx;
const double vy_new = rdot*sinwf + rfdot*coswf + com.vy;
// ******NOTE NO VZ_NEW CURRENTLY. NEED THIS FOR PLANETESIMALS
//Stop program if nan values being produced.
if(x_new!=x_new || y_new!=y_new || vx_new!=vx_new ||vy_new!=vy_new){
printf("\n !!Failed run for: %s \n",Keplername);
printf("cartesian before: dx=%f,dy=%f,dz=%f,ex=%f,ey=%f,ez=%f,r=%f,vx=%f,vy=%f,com.vx=%f,com.vy=%f,v=%f \n",dx,dy,dz,ex,ey,ez,r,par->vx,par->vy,com.vx,com.vy,v);
printf("Orbital elements: mu=%f,e=%f,a=%f,cosf=%.15f,sinf=%.15f,dt=%f,de=%f,da=%f,GM3a3=%f,R5a5=%f \n",mu,e,a,cosf,sinf,dt,de,da,GM3a3,R5a5);
printf("\n cartesian after: x_new=%f,y_new=%f,vx_new=%f,vy_new=%f,term=%f,rdot=%f,rfdot=%f \n",x_new,y_new,vx_new,vy_new,term,rdot,rfdot);
exit(0);
}
par->x = x_new;
par->y = y_new;
par->vx = vx_new;
par->vy = vy_new;
com = tools_get_center_of_mass(com,particles[i]);
//print message
if(tide_print == 0 && p_suppress == 0){
printf("\n\n ***Tides (a', e') have just been turned on at t=%f years***\n\n",t);
tide_print = 1;
}
} else {
n = sqrt(mu/(a*a*a)); //Still need to calc this for period.
}
if(output_var == 1){
omega[i] = atan2(ey,ex);
if(ey < 0.) omega[i] += 2*M_PI;
double cosE = (a - r)/(a*e);
double E;
if(cosf > 1. || cosf < -1.){
E = M_PI - M_PI*cosE;
} else {
E = acos(cosE);
}
if(vr < 0.) E = 2.*M_PI - E;
double MA = E - e*sin(E);
lambda[i] = MA + omega[i];
double phi = 0., phi2 = 0., phi3 = 0.; //resonant angles
if(i>1){//tailored for 2:1 resonance, between inner/outer planet
phi = 2.*lambda[i] - lambda[i-phi_i[i]] - omega[i-phi_i[i]];
phi2 = 2.*lambda[i] - lambda[i-phi_i[i]] - omega[i];
phi3 = omega[i-phi_i[i]] - omega[i];
}
while(phi >= 2*M_PI) phi -= 2*M_PI;
while(phi < 0.) phi += 2*M_PI;
while(phi2 >= 2*M_PI) phi2 -= 2*M_PI;
while(phi2 < 0.) phi2 += 2*M_PI;
while(phi3 >= 2*M_PI) phi3 -= 2*M_PI;
while(phi3 < 0.) phi3 += 2*M_PI;
//Calculate total Energy and ang. mom. of the system
double Etot = 0;
double L = 0;
if(i==N-1){//Total energy, wait till array values are filled.
for(int j=1;j<N;j++){
Etot += 0.5*m*v2_nrgy[j]; //kinetic
Etot -= com.m*m/r_nrgy[j]; //star-planet potential
for(int k=1;k<j;k++) Etot -= m_nrgy[k]*m_nrgy[j]/(r_nrgy[k] - r_nrgy[j]); //interaction potential
}
}
L = sqrt(G*com.m*a*(1-e*e));
//integrator_synchronize(); //if synchronize_manual = 1, then call this before each output to synchronize x and vx.
//output orbits in txt_file.
FILE *append;
append=fopen(txt_file, "a");
//output order = time(yr/2pi),a(AU),e,P(days),arg. of peri., mean anomaly,
// eccentric anomaly, mean longitude, resonant angle, de/dt, phi1 phi2 phi3
fprintf(append,"%e\t%.10e\t%e\t%e\t%e\t%e\t%e\t%e\t%e\t%e\t%e\t%e\t%e\n",t,a,e,365./n,omega[i],MA,E,lambda[i],phi,phi2,phi3,L,Etot);
fclose(append);
if (integrator != WH){ // The WH integrator assumes a heliocentric coordinate system.
tools_move_to_center_of_momentum();
}
}
}
}
if(output_check(10000.*dt)){
output_timing();
}
}