Newer
Older
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
#include "Satellite.h"
int Satellite::calculate_r() {
m_r = sqrt(pow(m_DCS(0, 0), 2) + pow(m_DCS(1, 0), 2) + pow(m_DCS(2, 0), 2));
return 0;
}
int Satellite::calculate_density()
{
m_h = m_r - Radius_Earth * (1 - compression_earth*pow((m_DCS(2,0)/m_r), 2));
m_density = 2E-13 * exp(-(m_h - 200) / 60);
return int();
}
int Satellite::calculate_V() {
m_v = sqrt(pow(m_DVS(0, 0), 2) + pow(m_DVS(1, 0), 2) + pow(m_DVS(2, 0), 2));
return 0;
}
Matrix& Satellite::calculate_F(){
calculate_V();
double Sb = m_As / m_ms;
m_F = -Sb * m_density * m_v * m_DVS;
return m_F;
}
Matrix& Satellite::recalculate_F(const Matrix& i_DVS) {
double v = sqrt(pow(i_DVS(0, 0), 2) + pow(i_DVS(1, 0), 2) + pow(i_DVS(2, 0), 2));
double Sb = m_As / m_ms;
m_F = -Sb * m_density * v * i_DVS;
return m_F;
}
Matrix Satellite::step_calculate_F(const Matrix& i_DCS, const Matrix& i_DVS, const double step_time)
{
return (m_moon.calculateFm(i_DCS, step_time) + m_sun.calculateFs(i_DCS, step_time) + m_sun.calculatePs(i_DCS, m_ks, m_As, m_ms, step_time)
+ m_earth.recalculateAccelerationCC(step_time, i_DCS)
+ recalculate_F(i_DVS));
}
int calc_α(std::vector<Matrix>& α,const std::vector<Matrix>& F, const std::vector<double>& step_time, int current_moment) {
switch (current_moment)
{
case 1:
α.at(0) = ((F.at(1) - F.at(0)) / step_time.at(1));
break;
case 2:
α.at(1) = (((F.at(2) - F.at(0)) / step_time.at(2) - α.at(0)) / (step_time.at(2) - step_time.at(1)));
break;
case 3:
α.at(2) = ((((F.at(3) - F.at(0)) / step_time.at(3) - α.at(0)) / (step_time.at(3) - step_time.at(1)) - α.at(1)) /
(step_time.at(3) - step_time.at(2)));
break;
case 4:
α.at(3) = (((((F.at(4) - F.at(0)) / step_time.at(4) - α.at(0)) / (step_time.at(4) - step_time.at(1)) - α.at(1)) / (step_time.at(4) - step_time.at(2)) - α.at(2))
/ (step_time.at(4) - step_time.at(3)));
break;
case 5:
α.at(4) = ((((((F.at(5) - F.at(0)) / (step_time.at(5)) - α.at(0)) / (step_time.at(5) - step_time.at(1)) - α.at(1))
/ (step_time.at(5) - step_time.at(2)) - α.at(2)) / (step_time.at(5) - step_time.at(3)) - α.at(3))
/ (step_time.at(5) - step_time.at(4)));
break;
case 6:
α.at(5) = (((((((F.at(6) - F.at(0)) / step_time.at(6) - α.at(0)) / (step_time.at(6) - step_time.at(1)) - α.at(1))
/ (step_time.at(6) - step_time.at(2)) - α.at(2)) / (step_time.at(6) - step_time.at(3)) - α.at(3))
/ (step_time.at(6) - step_time.at(4)) - α.at(4)) / (step_time.at(6) - step_time.at(5)));
break;
case 7:
α.at(6) = ((((((((F.at(7) - F.at(0)) / step_time.at(7) - α.at(0)) / (step_time.at(7) - step_time.at(1)) - α.at(1))
/ (step_time.at(7) - step_time.at(2)) - α.at(2)) / (step_time.at(7) - step_time.at(3)) - α.at(3))
/ (step_time.at(7) - step_time.at(4)) - α.at(4)) / (step_time.at(7) - step_time.at(5)) - α.at(5))
/ (step_time.at(7) - step_time.at(6)));
break;
}
return 1;
}
int Satellite::integration_step(double i_time) {
std::vector<double> step_time{ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };
std::vector<Matrix> F{}; //массив хранящий ускорения по подшагам
std::vector<Matrix> A{}; //массив хранящий коэффициенты полинома
std::vector<Matrix> α{}; //массив хранящий параметры коэффициентов полинома
Matrix buff_DCS{ m_DCS };
Matrix buff_DVS { m_DVS };
Matrix coef_c{8,8};
for (short i = 0; i < 8; i++)
step_time.at(i) = (i_time - m_start_time) * coef_time_step.at(i);
coef_c(0, 0) = 1;
for (short i = 0; i < 8; i++) {
for (short j = 1; j < 8; j++) {
if (i == j)
coef_c(i, j) = 1;
else if (i == 0)
coef_c(j, i) = -step_time.at(j) * coef_c(j - 1, 0);
else
coef_c(i, j) = coef_c(i-1,j-1) - step_time.at(i) * coef_c(i - 1, 0);
}
}
for (int i = 0; i < 8; i++) {
F.push_back(Matrix{ 3, 1 });
A.push_back(Matrix{ 3, 1 });
α.push_back(Matrix{ 3, 1 });
}
for (short i = 0; i < 8; i++) {
buff_DCS = (m_DCS + step_time.at(i) * m_DVS + (1 / 2) * F.at(0) * pow(step_time.at(i), 2)
+ (1 / 6) * A.at(0) * pow(step_time.at(i), 3) + (1 / 12) * A.at(1) * pow(step_time.at(i), 4)
+ (1 / 20) * A.at(2) * pow(step_time.at(i), 5) + (1 / 30) * A.at(3) * pow(step_time.at(i), 6)
+ (1 / 42) * A.at(4) * pow(step_time.at(i), 7));
buff_DVS = (m_DVS + F.at(0) * step_time.at(i) + (1 / 2) * A.at(0) * pow(step_time.at(i), 2)
+ (1 / 3) * A.at(1) * pow(step_time.at(i), 3) + (1 / 4) * A.at(2) * pow(step_time.at(i), 4)
+ (1 / 5) * A.at(3) * pow(step_time.at(i), 5) + (1 / 6) * A.at(4) * pow(step_time.at(i), 5)
+ (1 / 7) * A.at(5) + pow(step_time.at(i), 7));
F.push_back(step_calculate_F(buff_DCS, buff_DVS, step_time.at(i)));
calc_α(α, F, step_time, i);
A.at(0) = α.at(0) + coef_c(1, 0) * α.at(1) + coef_c(2, 0) * α.at(2) + coef_c(3, 0) * α.at(3) + coef_c(4, 0) * α.at(4)
+ coef_c(5, 0) * α.at(5) + coef_c(6, 0) * α.at(6);
A.at(1) = α.at(1) + coef_c(2, 1) * α.at(2) + coef_c(3, 1) * α.at(3) + coef_c(4, 1) * α.at(4) + coef_c(5, 1) * α.at(5)
+ coef_c(6, 1) * α.at(6);
A.at(2) = α.at(2) + coef_c(3, 2) * α.at(3) + coef_c(4, 2) * α.at(4) + coef_c(5, 2) * α.at(5) + coef_c(6, 2) * α.at(6);
A.at(3) = α.at(3) + coef_c(4, 3) * α.at(4) + coef_c(5, 3) * α.at(5) + coef_c(6, 3) * α.at(6);
A.at(4) = α.at(4) + coef_c(5, 4) * α.at(4) + coef_c(6, 4) * α.at(6);
A.at(5) = α.at(5) + coef_c(6, 5) * α.at(6);
}
buff_DCS = (m_DCS + i_time * m_DVS + (1 / 2) * F.at(0) * pow(i_time, 2)
+ (1 / 6) * A.at(0) * pow(i_time, 3) + (1 / 12) * A.at(1) * pow(i_time, 4)
+ (1 / 20) * A.at(2) * pow(i_time, 5) + (1 / 30) * A.at(3) * pow(i_time, 6)
+ (1 / 42) * A.at(4) * pow(i_time, 7));
buff_DVS = (m_DVS + F.at(0) * i_time + (1 / 2) * A.at(0) * pow(i_time, 2)
+ (1 / 3) * A.at(1) * pow(i_time, 3) + (1 / 4) * A.at(2) * pow(i_time, 4)
+ (1 / 5) * A.at(3) * pow(i_time, 5) + (1 / 6) * A.at(4) * pow(i_time, 5)
+ (1 / 7) * A.at(5) + pow(i_time, 7));
m_DCS = buff_DCS;
m_DVS = buff_DVS;
std::cout << "buff_DCS = " << buff_DCS << " buff_DVS = " << buff_DVS;
return 0;
}