/
varIsp_func.cpp
203 lines (201 loc) · 8.94 KB
/
varIsp_func.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
///variable isp fuel optimal formulation
///right now single central body
#include"varIsp_func.hpp"
#include<fstream>
#include<cstdlib>
#include<thread>
#include<array>
#include<string>
#include<cmath>
#include<iostream>
#include<boost/numeric/odeint.hpp>
/// ///////////////////////////////////////////////////////////////////////////////
std::fstream fileobjvar("Output.txt",std::ios::out);///file handle auto closed due to RAII
auto write_cout=[&](const std::vector<Agent_datatype> &x, const Agent_datatype t)
{
fileobjvar.precision(17);
for(unsigned int i=0;i<x.size();i++){
fileobjvar<<x.at(i)<<"\t";
}
fileobjvar<<t<<std::endl;
};
/// ///////////////////////////////////////////////////////////////////////////////
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 _varIsp_cost(sys_pars<Agent_datatype> ¶ms,const std::vector<Agent_datatype> &vals,const bool printval,
Agent_datatype &massfrac)
{
using namespace boost::numeric::odeint;
/// ///////////////////////////////////////////////////////////////////////////////
auto controlled_stepper=make_controlled(params.integ_tol,params.integ_tol,params.maxstep*86400.0,stepper_type());
/// ///////////////////////////////////////////////////////////////////////////////
const double pi=acos(-1.0);
const double mu=params.mu;
double g0Isp=params.g0*params.Isp;
const double mi=params.mi;
double T=params.kfactor;
double Pmax;
const double ri=params.rinit;
double r,m,r2,r3,r4,msq;
double l1,k,Isp,kmax,kmin,l3;
double costsqrt,rx,ry,rz;
double ax,ay,az,accl;
///RHS FOR OF ODE SYSTEM
auto rhs=[&](const auto x,auto &dxdt, const state_type t){
r=sqrt(sqr(x.at(0))+sqr(x.at(1))+sqr(x.at(2)));
r2=sqr(r);r3=cube(r);r4=sqr(r2);
m=x.at(6);msq=sqr(m);
costsqrt=sqrt(sqr(x.at(10))+sqr(x.at(11))+sqr(x.at(12)));
///MAX AVAILABLE POWER DETERMINATION
if(params.NEP==1){
///NEP
Pmax=params.Pmax;
}
else{
///SEP INVERSE SQR LAW
Pmax=params.Pmax*sqr(ri/r);
}
///CONTROL LAW
kmax=-((2.0*Pmax*params.effic)/(params.g0*params.IspMax))/(m*costsqrt);
kmin=-((2.0*Pmax*params.effic)/(params.g0*params.IspMin))/(m*costsqrt);
l3=-kmax*m*costsqrt*((2.0*(1.0-x.at(13)/(params.g0*params.IspMax)))-(costsqrt/(m)))/params.IspMax;
if(l3<0){
Isp=params.IspMin;
k=-((2.0*Pmax*params.effic)/(params.g0*Isp))/(m*costsqrt);
l1=((costsqrt/(m))-(1.0-x.at(13))/(params.g0*Isp))/Isp;
if(l1>=0){
ax=kmin*x.at(10);ay=kmin*x.at(11);az=kmin*x.at(12);
g0Isp=params.g0*params.IspMin;
}
else{
ax=0.0;ay=0.0;az=0.0;g0Isp=params.g0*params.IspMin;
}
}
else{
Isp=params.IspMax;
k=-((2.0*Pmax*params.effic)/(params.g0*Isp))/(m*costsqrt);
l1=((costsqrt/(m))-(1.0-x.at(13))/(params.g0*Isp))/Isp;
if(l1>=0){
ax=kmax*x.at(10);ay=kmax*x.at(11);az=kmax*x.at(12);
g0Isp=params.g0*params.IspMax;
}
else{
ax=0.0;ay=0.0;az=0.0;g0Isp=params.g0*params.IspMax;
}
}
accl=sqrt(sqr(ax)+sqr(ay)+sqr(az));
///MINIMUM FINAL MASS
if(m<0.025*mi){
accl=0.0;ax=0.0;ay=0.0;az=0.0;Isp=0.5*(params.IspMax+params.IspMin);
}
///STATE EQUATIONS
dxdt.at(0)=x.at(3);
dxdt.at(1)=x.at(4);
dxdt.at(2)=x.at(5);
dxdt.at(3)=(-mu*x.at(0)/r3)+(ax);
dxdt.at(4)=(-mu*x.at(1)/r3)+(ay);
dxdt.at(5)=(-mu*x.at(2)/r3)+(az);
dxdt.at(6)=(-m*accl/g0Isp);
///COSTATE EQUATIONS
rx=x.at(0)/r;ry=x.at(1)/r;rz=x.at(2)/r;
dxdt.at(7)=-x.at(10)*((-mu/r3)+(3.0*mu*x.at(0)*rx/r4))-x.at(11)*(3.0*mu*x.at(1)*rx/r4)-x.at(12)*(3.0*mu*x.at(2)*rx/r4);
dxdt.at(8)=-x.at(10)*(3.0*mu*x.at(0)*ry/r4)-x.at(11)*((-mu/r3)+(3.0*mu*x.at(1)*ry/r4))-x.at(12)*(3.0*mu*x.at(2)*ry/r4);
dxdt.at(9)=-x.at(10)*(3.0*mu*x.at(0)*rz/r4)-x.at(11)*(3.0*mu*x.at(1)*rz/r4)-x.at(12)*((-mu/r3)+(3.0*mu*x.at(2)*rz/r4));
dxdt.at(10)=-x.at(7);
dxdt.at(11)=-x.at(8);
dxdt.at(12)=-x.at(9);
dxdt.at(13)=-(1.0-x.at(13))*accl/g0Isp;
};
///INITIAL CONDITIONS
double x0,y0,z0,vx0,vy0,vz0,rp0,H0,aval;
rp0=params.rpfac*params.rinit;
aval=rp0/(1.0-params.ecc);
H0=sqrt(mu*aval*(1.0-sqr(params.ecc)));
double pval=sqr(H0)/mu;
double nui=params.nu*3.1415926535897932384626433832795028/180.0;
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));
std::vector<double> x;
x.clear();
for(unsigned int i=0;i<14;i++){
x.push_back(0.0);
}
x.at(0)=(x0);///X COORDINATE
x.at(1)=(y0);///Y COORDINATE
x.at(2)=(z0);///Z COORDINATE
x.at(3)=(vx0);///X VELOCITY
x.at(4)=(vy0);///Y VELOCITY
x.at(5)=(vz0);///Z VELOCITY
x.at(6)=(mi);///INIT MASS
for(unsigned int i=0;i<7;i++){
x.at(i+7)=(vals.at(i));
}
/// ///////////////////////////////////////////////////////////////////////////////
double rp=params.rinit*params.rf_fac;
double vp=sqrt(mu*(1.0+params.eccf)/rp);
double rfinal=(rp/(1.0-params.eccf));
double endtime=86400.0*vals.at(7);
if(printval){
integrate_adaptive(controlled_stepper,rhs,x,0.0,endtime,0.001,write_cout);
}
else{
integrate_adaptive(controlled_stepper,rhs,x,0.0,endtime,0.001);
}
/// ///////////////////////////////////////////////////////////////////////////////
///COST FUNCTION EVALUATION
double xf=x.at(0),yf=x.at(1),zf=x.at(2);
double vxf=x.at(3),vyf=x.at(4),vzf=x.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=rp/(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(incl-params.inclf)/pi;
cost_val+=sqr(ex-exi);
cost_val+=sqr(ey-eyi);
cost_val+=sqr(ez-ezi);
massfrac=(mi-x.at(6))/mi;
// if(massfrac<0.001){
// cost_val+=25.0;
// }
return sqrt(cost_val);
}
/// ///////////////////////////////////////////////////////////////////////////////