/
FullTrajSoln.cpp
565 lines (565 loc) · 26.8 KB
/
FullTrajSoln.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
/// ///////////////////////////////////////////////////////////////////////////////
/**<
* THREE MAIN BODIES, RIGHT NOW EARTH-SUN-MARS
* MEANT FOR PARKING ORBIT-PARKING ORBIT TYPE TRANSFERS
* FRAME SWITCHING BASED ON SOI
* FORCE MODEL CAN INCLUDE HELIOCENTRIC PERTURBATION IF NECESSARY
* JPL EPHEMERIS DE430 USED
* CODE DEVELOPED BY PADMANABHA PRASANNA SIMHA
* FRAMEID 0=SUN
* FRAMEID 1=EARTH
* FRAMEID 2=MARS
*/
/// ///////////////////////////////////////////////////////////////////////////////
#include"FullTrajSoln.hpp"
#include<fstream>
#include<cstdlib>
#include<thread>
#include<array>
#include<string>
#include<cmath>
#include<iostream>
#include<boost/numeric/odeint.hpp>
/// ///////////////////////////////////////////////////////////////////////////////
namespace fileLocal_FullTrajSoln{
auto write_cout=[&](const auto &xfr1,const auto &xfr2,const auto &xfr3,const auto &xE,const auto &xM,const double &t,
auto &fileout2,const auto &julianstart,const bool &initCondprint,const auto&initwrite)
{
auto printer_lambda=[&](auto &fileoutobj){
fileoutobj.precision(17);
for(unsigned int i=0;i<xfr1.size();i++){
fileoutobj<<xfr1.at(i)<<"\t";
}
for(unsigned int i=0;i<xfr2.size();i++){
fileoutobj<<xfr2.at(i)<<"\t";
}
for(unsigned int i=0;i<xfr3.size();i++){
fileoutobj<<xfr3.at(i)<<"\t";
}
for(unsigned int i=0;i<xE.size();i++){
fileoutobj<<xE.at(i)<<"\t";
}
for(unsigned int i=0;i<xM.size();i++){
fileoutobj<<xM.at(i)<<"\t";
}
fileoutobj<<t<<std::endl;
};
printer_lambda(fileout2);
if(initCondprint&&initwrite){///for reinitialization purposes
std::fstream fileout3("InitConds.txt",std::ios::out);
printer_lambda(fileout3);
fileout3<<"\t"<<julianstart;
}
};
auto read_initConds=[&](auto &xfr1,auto &xfr2,auto &xfr3,auto &julianstart){
std::fstream filein("InitConds.txt",std::ios::in);
if(!filein.good()){
exit(-1);
}
for(unsigned int i=0;i<14;i++){
filein>>xfr1.at(i);
}
for(unsigned int i=0;i<14;i++){
filein>>xfr2.at(i);
}
for(unsigned int i=0;i<14;i++){
filein>>xfr3.at(i);
}
double dummy;
for(unsigned int i=0;i<2*6;i++){
filein>>dummy;
}
filein>>dummy>>julianstart;
};
}
/// ///////////////////////////////////////////////////////////////////////////////
auto sqr=[](const auto &x){return x*x;};
auto cube=[](const auto &x){return x*x*x;};
/// ///////////////////////////////////////////////////////////////////////////////
typedef Agent_datatype state_type;
///RUNGE KUTTA SETUP
using namespace boost::numeric::odeint;
//typedef runge_kutta_fehlberg78<std::vector<state_type>> switch_stepper;
typedef runge_kutta_fehlberg78<std::vector<state_type>> stepper_type;
/// ///////////////////////////////////////////////////////////////////////////////
const double pi=3.1415926535897932384626433832795028;
/// ///////////////////////////////////////////////////////////////////////////////
Agent_datatype _fullSoln_cost(sys_pars<Agent_datatype> ¶ms,const std::vector<Agent_datatype> &vals,const bool printval,
Agent_datatype &massfrac)
{
using namespace fileLocal_FullTrajSoln;
std::fstream fileobj(params.outputfile,std::ios::out);///file handle auto closed due to RAII
if(printval){
fileobj.close();
fileobj.open(params.outputfile,std::ios::app);
}
/// ///////////////////////////////////////////////////////////////////////////////
/// CONTROLLED STEPPERS
// auto controlled_switch_stepper=make_controlled(params.integ_tol,params.integ_tol,0.5*params.maxstep*86400.0,switch_stepper());
auto controlled_stepper=make_controlled(params.integ_tol,params.integ_tol,params.maxstep*86400.0,stepper_type());
/// ///////////////////////////////////////////////////////////////////////////////
wrappy_jpl Ephem_obj(params.ephem_file);///ephemeris object
std::array<double,6> state_e,state_m,state;///of moving frame
/// PARAMETERS AND VARIABLES
const double rsol=params.a_second;
const double mi=params.mi;
double julianstart=vals.at(8);
double mu_s=params.mu;
double mu_p=params.mu_e;///or params.mu_m;
double g0Isp=params.g0*params.Isp;
double x,y,z,vx,vy,vz,m,ax,ay,az,accl,lx,ly,lz,lvx,lvy,lvz,lm;
double r,r3,r4;
double xp_e,yp_e,zp_e,vxp_e,vyp_e,vzp_e,rp,rp3,rs,rs3,rrp,rrp3,rrp4,rrs,rrs3,rrs4;
double xp_m,yp_m,zp_m,vxp_m,vyp_m,vzp_m;
double xs,ys,zs;
double xxp_e,yyp_e,zzp_e,xxs,yys,zzs;
double rx,ry,rz;
double valx,valy,valz,muval;
double l,k,costsqrt,T;
/// ///////////////////////////////////////////////////////////////////////////////
int frameID=params.startbody;///this needs to be looked up by the planet's dynamics
auto rhs_helio=[&](const auto &xstate,auto &dxdt,const auto &t){
/// VARIABLES SETUP
x=xstate.at(0);y=xstate.at(1);z=xstate.at(2);vx=xstate.at(3);vy=xstate.at(4);vz=xstate.at(5);m=xstate.at(6);
lx=xstate.at(7);ly=xstate.at(8);lz=xstate.at(9);lvx=xstate.at(10);lvy=xstate.at(11);lvz=xstate.at(12);lm=xstate.at(13);
r=sqrt(sqr(x)+sqr(y)+sqr(z));r3=cube(r);r4=r3*r;
///PLANETARY PERTURBATION. DON'T INCLUDE YET
// Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,closeplanetID,12,state,0);
// xp_e=state.at(0);yp_e=state.at(1);zp_e=state.at(2);
// rp=sqrt(sqr(xp_e)+sqr(yp_e)+sqr(zp_e));rp3=cube(rp);
// xxp_e=x-xp_e;yyp_e=y-yp_e;zzp_e=z-zp_e;
// rrp=sqrt(sqr(xxp_e)+sqr(yyp_e)+sqr(zzp_e));rrp3=cube(rrp);rrp4=rrp3*rrp;
/// MAX THRUST DETERMINATION
if(params.NEP==1){
T=params.kfactor;
}
else{
T=params.kfactor*sqr(rsol/r);
}
/// CONTROL LAW
costsqrt=sqrt(sqr(lvx)+sqr(lvy)+sqr(lvz));
l=(costsqrt/m)-(1.0-lm)/g0Isp;
k=-(T/m)/costsqrt;
if(l>=0.0){
ax=k*lvx;ay=k*lvy;az=k*lvz;
}
else{
ax=0.0;ay=0.0;az=0.0;
}
if(m<0.025*mi){
ax=0.0;ay=0.0;az=0.0;
}
accl=sqrt(sqr(ax)+sqr(ay)+sqr(az));
/// STATE EQUATIONS
dxdt.at(0)=vx;dxdt.at(1)=vy;dxdt.at(2)=vz;
dxdt.at(3)=-(mu_s*x/r3)/**-(mu_p*(xxp_e)/rrp3)**/+ax;
dxdt.at(4)=-(mu_s*y/r3)/**-(mu_p*(yyp_e)/rrp3)**/+ay;
dxdt.at(5)=-(mu_s*z/r3)/**-(mu_p*(zzp_e)/rrp3)**/+az;
dxdt.at(6)=-m*accl/g0Isp;
/// COSTATE EQUATIONS
rx=x/r;ry=y/r;rz=z/r;
valx=((mu_s*x/r4)/**+(mu_p*xxp_e/rrp4)**/);
valy=((mu_s*y/r4)/**+(mu_p*yyp_e/rrp4)**/);
valz=((mu_s*z/r4)/**+(mu_p*zzp_e/rrp4)**/);
muval=-(mu_s/r3)/**-(mu_p/rrp3)**/;
dxdt.at(7)=-lvx*(muval+3.0*rx*valx)-lvy*(3.0*rx*valy)-lvz*(3.0*rx*valz);
dxdt.at(8)=-lvx*(3.0*ry*valx)-lvy*(muval+3.0*ry*valy)-lvz*(3.0*ry*valz);
dxdt.at(9)=-lvx*(3.0*rz*valx)-lvy*(3.0*rz*valy)-lvz*(muval+3.0*rz*valz);
dxdt.at(10)=-lx;dxdt.at(11)=-ly;dxdt.at(12)=-lz;
dxdt.at(13)=-(1.0-lm)*accl/g0Isp;
};
/// ///////////////////////////////////////////////////////////////////////////////
auto rhs_planeto=[&](const auto &xstate,auto &dxdt,const auto &t){
/// VARIABLES SETUP
x=xstate.at(0);y=xstate.at(1);z=xstate.at(2);vx=xstate.at(3);vy=xstate.at(4);vz=xstate.at(5);m=xstate.at(6);
lx=xstate.at(7);ly=xstate.at(8);lz=xstate.at(9);lvx=xstate.at(10);lvy=xstate.at(11);lvz=xstate.at(12);lm=xstate.at(13);
r=sqrt(sqr(x)+sqr(y)+sqr(z));r3=cube(r);r4=r3*r;
///SUN'S PERTURBATION EFFECT
int planetval;
if(frameID==1){
planetval=3;
}
else if(frameID==2){
planetval=4;
}
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,11,planetval,state,0);
xs=state.at(0);ys=state.at(1);zs=state.at(2);
rs=sqrt(sqr(xs)+sqr(ys)+sqr(zs));rs3=cube(rs);
xxs=x-xs;yys=y-ys;zzs=z-zs;
rrs=sqrt(sqr(xxs)+sqr(yys)+sqr(zzs));rrs3=cube(rrs);rrs4=rrs3*rrs;
/// MAX THRUST DETERMINATION
if(params.NEP==1){
T=params.kfactor;
}
else{
if(mu_p==params.mu_e){
T=params.kfactor*sqr(rsol)/(sqr(x+xp_e)+sqr(y+yp_e)+sqr(z+zp_e));
}
else if(mu_p==params.mu_m){
T=params.kfactor*sqr(rsol)/(sqr(x+xp_m)+sqr(y+yp_m)+sqr(z+zp_m));
}
}
/// CONTROL LAW
costsqrt=sqrt(sqr(lvx)+sqr(lvy)+sqr(lvz));
l=(costsqrt/m)-(1.0-lm)/g0Isp;
k=-(T/m)/costsqrt;
if(l>=0.0){
ax=k*lvx;ay=k*lvy;az=k*lvz;
}
else{
ax=0.0;ay=0.0;az=0.0;
}
if(m<0.025*mi){
ax=0.0;ay=0.0;az=0.0;
}
accl=sqrt(sqr(ax)+sqr(ay)+sqr(az));
/// STATE EQUATIONS
dxdt.at(0)=vx;dxdt.at(1)=vy;dxdt.at(2)=vz;
dxdt.at(3)=-(mu_p*x/r3)+mu_s*(-(xs/rs3)-(xxs/rrs3))+ax;
dxdt.at(4)=-(mu_p*y/r3)+mu_s*(-(ys/rs3)-(yys/rrs3))+ay;
dxdt.at(5)=-(mu_p*z/r3)+mu_s*(-(zs/rs3)-(zzs/rrs3))+az;
dxdt.at(6)=-m*accl/g0Isp;
/// COSTATE EQUATIONS
rx=x/r;ry=y/r;rz=z/r;
valx=((mu_p*x/r4)/**+(mu_s*xxs/rrs4)**/);
valy=((mu_p*y/r4)/**+(mu_s*yys/rrs4)**/);
valz=((mu_p*z/r4)/**+(mu_s*zzs/rrs4)**/);
muval=-(mu_p/r3)/**-(mu_s/rrs3)**/;
dxdt.at(7)=-lvx*(muval+3.0*rx*valx)-lvy*(3.0*rx*valy)-lvz*(3.0*rx*valz);
dxdt.at(8)=-lvx*(3.0*ry*valx)-lvy*(muval+3.0*ry*valy)-lvz*(3.0*ry*valz);
dxdt.at(9)=-lvx*(3.0*rz*valx)-lvy*(3.0*rz*valy)-lvz*(muval+3.0*rz*valz);
dxdt.at(10)=-lx;dxdt.at(11)=-ly;dxdt.at(12)=-lz;
dxdt.at(13)=-(1.0-lm)*accl/g0Isp;
};
/// ///////////////////////////////////////////////////////////////////////////////
std::array<double,14> xstate,xfr1,xfr2,xfr3;///xstate-spacecraft local state,xfr1-helio,xfr2-earth,xfr3-areo
/// ///////////////////////////////////////////////////////////////////////////////
/// INITIALIZE VALUES HERE
double x0,y0,z0,vx0,vy0,vz0,rp0,H0,aval,pval;
rp0=params.rpfac*params.rinit;
aval=rp0/(1.0-params.ecc);
if(frameID==0){
H0=sqrt(mu_s*aval*(1.0-sqr(params.ecc)));
pval=sqr(H0)/mu_s;
}
else if(frameID==1){
mu_p=params.mu_e;
H0=sqrt(mu_p*aval*(1.0-sqr(params.ecc)));
pval=sqr(H0)/mu_p;
}
else if(frameID==2){
mu_p=params.mu_m;
H0=sqrt(mu_p*aval*(1.0-sqr(params.ecc)));
pval=sqr(H0)/mu_p;
}
else{
std::cout<<std::endl<<"Not supposed to happen"<<std::endl;
}
double nui=params.nu*pi/180.0;
double rval=pval/(1.0+params.ecc*cos(nui));
x0=rval*(cos(params.raani)*cos(params.omegai+nui)-sin(params.raani)*sin(params.omegai+nui)*cos(params.incli));
y0=rval*(sin(params.raani)*cos(params.omegai+nui)+cos(params.raani)*sin(params.omegai+nui)*cos(params.incli));
z0=rval*(sin(params.incli)*sin(params.omegai+nui));
vx0=(x0*H0*params.ecc*sin(nui)/(rval*pval))-(H0/rval)*(cos(params.raani)*sin(params.omegai+nui)+sin(params.raani)*cos(params.omegai+nui)*cos(params.incli));
vy0=(y0*H0*params.ecc*sin(nui)/(rval*pval))-(H0/rval)*(sin(params.raani)*sin(params.omegai+nui)-cos(params.raani)*cos(params.omegai+nui)*cos(params.incli));
vz0=(z0*H0*params.ecc*sin(nui)/(rval*pval))+(H0/rval)*(sin(params.incli)*cos(params.omegai+nui));
xstate.at(0)=(x0);///X COORDINATE
xstate.at(1)=(y0);///Y COORDINATE
xstate.at(2)=(z0);///Z COORDINATE
xstate.at(3)=(vx0);///X VELOCITY
xstate.at(4)=(vy0);///Y VELOCITY
xstate.at(5)=(vz0);///Z VELOCITY
xstate.at(6)=(mi);///INIT MASS
for(unsigned int i=0;i<7;i++){
xstate.at(i+7)=(vals.at(i));///INIT COSTATES
}
/// ///////////////////////////////////////////////////////////////////////////////
double endtime=vals.at(7)*86400.0;
const double r_soi_sec=params.a_second*pow((params.mu_e/mu_s),0.4);
const double r_soi_thr=params.a_third*pow((params.mu_m/mu_s),0.4);
double r2p_e,r2p_m,r2p_e_min,r2p_m_min;
double t=0.0,dt=1e-3;
/// ///////////////////////////////////////////////////////////////////////////////
Ephem_obj.JPL_ecliptic_m_get(julianstart,3,12,state_e,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
Ephem_obj.JPL_ecliptic_m_get(julianstart,4,12,state_m,1);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
/// ///////////////////////////////////////////////////////////////////////////////
/// IF SPECIFIED INITIAL CONDITIONS ARE AVAILABLE
if(params.finaliz_rendez){
read_initConds(xfr1,xfr2,xfr3,julianstart);
r2p_e=sqrt(sqr(xfr2.at(0))+sqr(xfr2.at(1))+sqr(xfr2.at(2)));
r2p_m=sqrt(sqr(xfr3.at(0))+sqr(xfr3.at(1))+sqr(xfr3.at(2)));
if(r2p_m<r_soi_thr){
frameID=2;
xstate=xfr3;
}
else if(r2p_m<r_soi_sec){
frameID=1;
xstate=xfr2;
}
else{
frameID=0;
xstate=xfr1;
}
Ephem_obj.JPL_ecliptic_m_get(julianstart,3,12,state_e,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
Ephem_obj.JPL_ecliptic_m_get(julianstart,4,12,state_m,1);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
for(unsigned int i=0;i<7;i++){
xstate.at(i+7)=(vals.at(i));///INIT COSTATES
}
}
/// ///////////////////////////////////////////////////////////////////////////////
if(frameID==0){
xfr1=xstate;
xfr2=xfr1;
xfr2.at(0)-=xp_e;xfr2.at(1)-=yp_e;xfr2.at(2)-=zp_e;xfr2.at(3)-=vxp_e;xfr2.at(4)-=vyp_e;xfr2.at(5)-=vzp_e;
xfr3=xfr1;
xfr3.at(0)-=xp_m;xfr3.at(1)-=yp_m;xfr3.at(2)-=zp_m;xfr3.at(3)-=vxp_m;xfr3.at(4)-=vyp_m;xfr3.at(5)-=vzp_m;
}
else if(frameID==1){
xfr2=xstate;
xfr1=xfr2;
xfr1.at(0)+=xp_e;xfr1.at(1)+=yp_e;xfr1.at(2)+=zp_e;xfr1.at(3)+=vxp_e;xfr1.at(4)+=vyp_e;xfr1.at(5)+=vzp_e;
xfr3=xfr1;
xfr3.at(0)-=xp_m;xfr3.at(1)-=yp_m;xfr3.at(2)-=zp_m;xfr3.at(3)-=vxp_m;xfr3.at(4)-=vyp_m;xfr3.at(5)-=vzp_m;
}
else if(frameID==2){
xfr3=xstate;
xfr1=xfr3;
xfr1.at(0)+=xp_m;xfr1.at(1)+=yp_m;xfr1.at(2)+=zp_m;xfr1.at(3)+=vxp_m;xfr1.at(4)+=vyp_m;xfr1.at(5)+=vzp_m;
xfr2=xfr1;
xfr2.at(0)-=xp_e;xfr2.at(1)-=yp_e;xfr2.at(2)-=zp_e;xfr2.at(3)-=vxp_e;xfr2.at(4)-=vyp_e;xfr2.at(5)-=vzp_e;
}
if(printval){
write_cout(xfr1,xfr2,xfr3,state_e,state_m,t,fileobj,julianstart+t/86400.0,false,params.initwrite);
}
/// ///////////////////////////////////////////////////////////////////////////////
/// INTEGRATION ROUTINE
int counter=0;
///PLANET CENTRIC DISTANCES
r2p_e=sqrt(sqr(xfr2.at(0))+sqr(xfr2.at(1))+sqr(xfr2.at(2)));
r2p_m=sqrt(sqr(xfr3.at(0))+sqr(xfr3.at(1))+sqr(xfr3.at(2)));
r2p_e_min=r2p_e;r2p_m_min=r2p_m;
while(t+dt<endtime){
counter++;
if(counter>params.maxstepcount){
break;
}
///DYNAMICS INTEGRATION
if(r2p_e>=r_soi_sec&&r2p_m>=r_soi_thr){
///HELIOCENTRIC PHASE --- largest body
///UNIFIED FRAME SWITCHING ROUTINE
xstate=xfr1;
frameID=0;
controlled_stepper.try_step(rhs_helio,xstate,t,dt);
xfr1=xstate;
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,3,12,state_e,1);
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,4,12,state_m,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
xfr2=xfr1;
xfr2.at(0)-=xp_e;xfr2.at(1)-=yp_e;xfr2.at(2)-=zp_e;xfr2.at(3)-=vxp_e;xfr2.at(4)-=vyp_e;xfr2.at(5)-=vzp_e;
xfr3=xfr1;
xfr3.at(0)-=xp_m;xfr3.at(1)-=yp_m;xfr3.at(2)-=zp_m;xfr3.at(3)-=vxp_m;xfr3.at(4)-=vyp_m;xfr3.at(5)-=vzp_m;
}
else if(r2p_e<r_soi_sec&&r2p_m>=r_soi_thr){
///GEOCENTRIC PHASE --- second largest
mu_p=params.mu_e;
///UNIFIED FRAME SWITCHING ROUTINE
xstate=xfr2;
frameID=1;
controlled_stepper.try_step(rhs_planeto,xstate,t,dt);
xfr2=xstate;
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,3,12,state_e,1);
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,4,12,state_m,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
xfr1=xfr2;
xfr1.at(0)+=xp_e;xfr1.at(1)+=yp_e;xfr1.at(2)+=zp_e;xfr1.at(3)+=vxp_e;xfr1.at(4)+=vyp_e;xfr1.at(5)+=vzp_e;
xfr3=xfr1;
xfr3.at(0)-=xp_m;xfr3.at(1)-=yp_m;xfr3.at(2)-=zp_m;xfr3.at(3)-=vxp_m;xfr3.at(4)-=vyp_m;xfr3.at(5)-=vzp_m;
}
else if(r2p_m<r_soi_thr){
///AREOCENTRIC PHASE --- smallest body
mu_p=params.mu_m;
///UNIFIED FRAME SWITCHING ROUTINE
xstate=xfr3;
frameID=2;
controlled_stepper.try_step(rhs_planeto,xstate,t,dt);
xfr3=xstate;
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,3,12,state_e,1);
Ephem_obj.JPL_ecliptic_m_get(julianstart+t/86400.0,4,12,state_m,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
xfr1=xfr3;
xfr1.at(0)+=xp_m;xfr1.at(1)+=yp_m;xfr1.at(2)+=zp_m;xfr1.at(3)+=vxp_m;xfr1.at(4)+=vyp_m;xfr1.at(5)+=vzp_m;
xfr2=xfr1;
xfr2.at(0)-=xp_e;xfr2.at(1)-=yp_e;xfr2.at(2)-=zp_e;xfr2.at(3)-=vxp_e;xfr2.at(4)-=vyp_e;xfr2.at(5)-=vzp_e;
}
else{
///SHOULD NOT BE POSSIBLE
///BUT I HAVE SEEN IT HAPPEN WITH R2P VALUE GOING TO NAN
///FOR SOME WEIRD INPUT CASE THAT I DON'T UNDERSTAND SQUAT ABOUT
std::cout<<std::endl<<"This should not happen during integration "<<r2p_e<<"\t"<<r2p_m<<std::endl;
}
if(printval){///PRINT TO FILE IF SPECIFIED
write_cout(xfr1,xfr2,xfr3,state_e,state_m,t,fileobj,julianstart+t/86400.0,false,params.initwrite);
}
///PLANET CENTRIC DISTANCES
r2p_e=sqrt(sqr(xfr2.at(0))+sqr(xfr2.at(1))+sqr(xfr2.at(2)));
r2p_m=sqrt(sqr(xfr3.at(0))+sqr(xfr3.at(1))+sqr(xfr3.at(2)));
r2p_e_min=(r2p_e<r2p_e_min)?r2p_e:r2p_e_min;
r2p_m_min=(r2p_m<r2p_m_min)?r2p_m:r2p_m_min;
dt=(dt>86400.0*params.maxstep)?86400.0*params.maxstep:dt;
dt=((r2p_e<=1.25*r_soi_sec||r2p_m<7.5*r_soi_thr)&&dt>8640.0*params.maxstep)?8640.0*params.maxstep:dt;
}
dt=endtime-t;
double dtlast=dt;
if(frameID==0){
xstate=xfr1;
controlled_stepper.try_step(rhs_helio,xstate,t,dt);
xfr1=xstate;
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,3,12,state_e,1);
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,4,12,state_m,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
xfr2=xfr1;
xfr2.at(0)-=xp_e;xfr2.at(1)-=yp_e;xfr2.at(2)-=zp_e;xfr2.at(3)-=vxp_e;xfr2.at(4)-=vyp_e;xfr2.at(5)-=vzp_e;
xfr3=xfr1;
xfr3.at(0)-=xp_m;xfr3.at(1)-=yp_m;xfr3.at(2)-=zp_m;xfr3.at(3)-=vxp_m;xfr3.at(4)-=vyp_m;xfr3.at(5)-=vzp_m;
}
else if(frameID==1){
xstate=xfr2;
mu_p=params.mu_e;
controlled_stepper.try_step(rhs_planeto,xstate,t,dt);
xfr2=xstate;
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,3,12,state_e,1);
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,4,12,state_m,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
xfr1=xfr2;
xfr1.at(0)+=xp_e;xfr1.at(1)+=yp_e;xfr1.at(2)+=zp_e;xfr1.at(3)+=vxp_e;xfr1.at(4)+=vyp_e;xfr1.at(5)+=vzp_e;
xfr3=xfr1;
xfr3.at(0)-=xp_m;xfr3.at(1)-=yp_m;xfr3.at(2)-=zp_m;xfr3.at(3)-=vxp_m;xfr3.at(4)-=vyp_m;xfr3.at(5)-=vzp_m;
}
else if(frameID==2){
xstate=xfr3;
mu_p=params.mu_m;
controlled_stepper.try_step(rhs_planeto,xstate,t,dt);
xfr3=xstate;
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,3,12,state_e,1);
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,4,12,state_m,1);
xp_e=state_e.at(0);yp_e=state_e.at(1);zp_e=state_e.at(2);vxp_e=state_e.at(3);vyp_e=state_e.at(4);vzp_e=state_e.at(5);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
xfr1=xfr3;
xfr1.at(0)+=xp_m;xfr1.at(1)+=yp_m;xfr1.at(2)+=zp_m;xfr1.at(3)+=vxp_m;xfr1.at(4)+=vyp_m;xfr1.at(5)+=vzp_m;
xfr2=xfr1;
xfr2.at(0)-=xp_e;xfr2.at(1)-=yp_e;xfr2.at(2)-=zp_e;xfr2.at(3)-=vxp_e;xfr2.at(4)-=vyp_e;xfr2.at(5)-=vzp_e;
}
r2p_e=sqrt(sqr(xfr2.at(0))+sqr(xfr2.at(1))+sqr(xfr2.at(2)));
r2p_m=sqrt(sqr(xfr3.at(0))+sqr(xfr3.at(1))+sqr(xfr3.at(2)));
r2p_e_min=(r2p_e<r2p_e_min)?r2p_e:r2p_e_min;
r2p_m_min=(r2p_m<r2p_m_min)?r2p_m:r2p_m_min;
if(printval){
write_cout(xfr1,xfr2,xfr3,state_e,state_m,endtime,fileobj,julianstart+t/86400.0,true,params.initwrite);
}
/// ///////////////////////////////////////////////////////////////////////////////
/// COST FUNCTION EVALUTATION
double mu;
if(params.endbody==0){
mu=mu_s;
xstate=xfr1;
}
else if(params.endbody==1){
xstate=xfr2;
mu=params.mu_e;
}
else if(params.endbody==2){
xstate=xfr3;
mu=params.mu_m;
}
else{
std::cout<<std::endl<<"Not supposed to happen"<<std::endl;
}
double rpfin=params.rfinal*params.rf_fac;
double vpfin=sqrt(mu*(1.0+params.eccf)/rpfin);
double rfinal=(rpfin/(1.0-params.eccf));
double xf=xstate.at(0),yf=xstate.at(1),zf=xstate.at(2);
double vxf=xstate.at(3),vyf=xstate.at(4),vzf=xstate.at(5);
double rfc=sqrt(sqr(xf)+sqr(yf)+sqr(zf));
double vfc=sqrt(sqr(vxf)+sqr(vyf)+sqr(vzf));
double rpf=params.rinit*params.rf_fac;
double a0=rpfin/(1.0-params.eccf);
double af=1.0/((2.0/rfc)-(sqr(vfc)/mu));
double Hf=sqrt(mu*rpf*(1.0+params.eccf));
double xi,yi,zi,vxi,vyi,vzi,Hxi,Hyi,Hzi,exi,eyi,ezi;
double Hx,Hy,Hz,ex,ey,ez;
xi=rpf*(cos(params.raanf)*cos(params.omegaf)-sin(params.raanf)*sin(params.omegaf)*cos(params.inclf));
yi=rpf*(sin(params.raanf)*cos(params.omegaf)+cos(params.raanf)*sin(params.omegaf)*cos(params.inclf));
zi=rpf*(sin(params.inclf)*sin(params.omegaf));
vxi=-(Hf/rpf)*(cos(params.raanf)*sin(params.omegaf)+sin(params.raanf)*cos(params.omegaf)*cos(params.inclf));
vyi=-(Hf/rpf)*(sin(params.raanf)*sin(params.omegaf)-cos(params.raanf)*cos(params.omegaf)*cos(params.inclf));
vzi=(Hf/rpf)*(sin(params.inclf)*cos(params.omegaf));
Hxi=(yi*vzi-zi*vyi);Hyi=(zi*vxi-xi*vzi);Hzi=(xi*vyi-yi*vxi);
exi=((vyi*Hzi-vzi*Hyi)/mu)-(xi/rpf);
eyi=((vzi*Hxi-vxi*Hzi)/mu)-(yi/rpf);
ezi=((vxi*Hyi-vyi*Hxi)/mu)-(zi/rpf);
Hx=(yf*vzf-zf*vyf);Hy=(zf*vxf-xf*vzf);Hz=(xf*vyf-yf*vxf);
double Hfc=sqrt(sqr(Hx)+sqr(Hy)+sqr(Hz));
Hf=sqrt(sqr(Hxi)+sqr(Hyi)+sqr(Hzi));
ex=((vyf*Hz-vzf*Hy)/mu)-(xf/rfc);
ey=((vzf*Hx-vxf*Hz)/mu)-(yf/rfc);
ez=((vxf*Hy-vyf*Hx)/mu)-(zf/rfc);
double incl=acos(Hz/Hfc);
double cost_val=(sqr(1.0-af/a0));
cost_val+=(sqr(Hxi/Hf-Hx/Hfc));
cost_val+=(sqr(Hyi/Hf-Hy/Hfc));
cost_val+=(sqr(Hzi/Hf-Hz/Hfc));
cost_val+=(sqr(ex-exi));
cost_val+=(sqr(ey-eyi));
cost_val+=(sqr(ez-ezi));
cost_val+=sqr(incl-params.inclf)/pi;
massfrac=1.0-xstate.at(6)/mi;
double r2p=sqrt(sqr(xstate.at(0))+sqr(xstate.at(1))+sqr(xstate.at(2)));
double v2p=sqrt(sqr(xstate.at(3))+sqr(xstate.at(4))+sqr(xstate.at(5)));
double energy=0.5*sqr(v2p)-mu/r2p;
if(params.endbody==1){
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,3,12,state_e,1);
xp_m=state_e.at(0);yp_m=state_e.at(1);zp_m=state_e.at(2);vxp_m=state_e.at(3);vyp_m=state_e.at(4);vzp_m=state_e.at(5);
}
else if(params.endbody==2){
Ephem_obj.JPL_ecliptic_m_get(julianstart+endtime/86400.0,4,12,state_m,1);
xp_m=state_m.at(0);yp_m=state_m.at(1);zp_m=state_m.at(2);vxp_m=state_m.at(3);vyp_m=state_m.at(4);vzp_m=state_m.at(5);
}
// r2p/=sqrt(sqr(xp_m)+sqr(yp_m)+sqr(zp_m));
double cost_val2=abs(sqr(xfr1.at(0)-xp_m)+sqr(xfr1.at(1)-yp_m)+sqr(xfr1.at(2)-zp_m))/(sqr(xp_m)+sqr(yp_m)+sqr(zp_m));
cost_val2+=(sqr(xfr1.at(3)-vxp_m)+sqr(xfr1.at(4)-vyp_m)+sqr(xfr1.at(5)-vzp_m))/(sqr(vxp_m)+sqr(vyp_m)+sqr(vzp_m));
double retval;
if(frameID!=params.endbody){
retval=(1.0+cost_val2)*(1e+8);
}
else{
retval=cost_val;
}
// if(frameID==params.startbody&¶ms.startbody!=params.endbody&¶ms.startbody!=0){
// retval=1e8*(1.0+abs(energy));
// }
if(params.parking_transfer==0){
retval=cost_val2;
}
else if(params.parking_transfer==2){
if(params.startbody==1){
retval=-(0.5*(sqr(xfr2.at(3))+sqr(xfr2.at(4))+sqr(xfr2.at(5)))-params.mu_e/sqrt(sqr(xfr2.at(0))+sqr(xfr2.at(1))+sqr(xfr2.at(2))));
}
else if(params.startbody==2){
retval=-(0.5*(sqr(xfr3.at(3))+sqr(xfr3.at(4))+sqr(xfr3.at(5)))-params.mu_m/sqrt(sqr(xfr3.at(0))+sqr(xfr3.at(1))+sqr(xfr3.at(2))));
}
}
if(abs(dtlast)>params.maxstep*86400.0){
retval+=(sqr(dtlast));
}
return retval;
}
/// ///////////////////////////////////////////////////////////////////////////////