-
Notifications
You must be signed in to change notification settings - Fork 0
/
stability_plots.py
165 lines (134 loc) · 4.85 KB
/
stability_plots.py
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
import math
import matplotlib.pyplot as plt
import numpy as np
from scipy import integrate
import orbits
from constants import M_P, M_S, ORBIT_NUM, PRECISION, G, R # User defined constants
from constants import (
solar_rad,
planet_rad,
period,
greek_theta,
time_span,
lagrange,
) # Derived constants
sin = math.sin(greek_theta)
cos = math.cos(greek_theta)
# ROTATING FRAME
orbit_sol = orbits.rotating_frame()
# DEVIATION FROM LAGRANGE POINT
plt.plot(time_span, ((lagrange[0] - orbit_sol.y[0, :])))
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="sci", scilimits=None)
plt.ylabel("Magnitude of Deviation in x direction /AU")
plt.xlabel("Time /years")
plt.title("Asteroid Deviation from Lagrange point")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
orbit_values = orbits.rotating_frame()
plt.plot(orbit_values.y[0, :] - lagrange[0], orbit_values.y[1, :] - lagrange[1])
plt.ticklabel_format(axis="both", style="sci", scilimits=None, useOffset=False)
plt.title("Rotating Frame just Greeks")
plt.show()
wander = np.zeros((len(orbit_values.t), 2))
for i in range(len(wander)):
theta = np.arctan(
(orbit_values.y[1, i] - lagrange[1]) / (orbit_values.y[0, i] - lagrange[0])
)
wander[i, 0] = np.linalg.norm((orbit_values.y[0:3, i] - lagrange[0:3])) * np.abs(
np.cos(greek_theta - theta)
) # radial component of wander
wander[i, 1] = np.linalg.norm((orbit_values.y[0:3, i] - lagrange[0:3])) * np.abs(
np.sin(greek_theta - theta)
) # tangential component of wander
plt.plot(time_span, wander[:, 0])
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="", scilimits=None)
plt.ylabel("Radial Deviation /AU")
plt.xlabel("Time /years")
plt.title("Asteroid Deviation from Lagrange point")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
plt.plot(time_span, wander[:, 1])
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="", scilimits=None)
plt.ylabel("Tangential Deviation /AU")
plt.xlabel("Time /years")
plt.title("Asteroid Deviation from Lagrange point")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
# polars
wander = np.zeros((len(orbit_values.t), 2)) # radius, angle
for i in range(len(orbit_values.t)):
wander[i, 0] = np.linalg.norm(
(orbit_values.y[0:3, i] - lagrange[0:3])
) # deviation in pos only
wander[i, 1] = np.arctan(
(orbit_values.y[1, i] - lagrange[1]) / (orbit_values.y[0, i] - lagrange[0])
) # in xy plane only
plt.plot(time_span, wander[:, 0])
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="", scilimits=None)
plt.ylabel("Radius /AU")
plt.xlabel("Time /years")
plt.title("Asteroid Deviation from Lagrange point")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
plt.plot(time_span, wander[:, 1])
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="", scilimits=None)
plt.ylabel("Angle /rad")
plt.xlabel("Time /years")
plt.title("Asteroid Deviation from Lagrange point")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
wander = np.zeros((len(orbit_values.t), 2)) # radius, angle
for i in range(len(orbit_values.t)):
wander[i, 0] = np.linalg.norm(
(orbit_values.y[0:3, i]) # - lagrange[0:3])
) # deviation in pos only
wander[i, 1] = np.arctan(
(orbit_values.y[1, i] / orbit_values.y[0, i])
) # in xy plane only
plt.plot(time_span, wander[:, 0])
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="", scilimits=None)
plt.ylabel("Radius /AU")
plt.xlabel("Time /years")
plt.title("Absolute Asteroid Position")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
plt.plot(time_span, wander[:, 1])
# plt.yscale("log", basey=10)
plt.ticklabel_format(axis="y", style="", scilimits=None)
plt.ylabel("Angle /rad")
plt.xlabel("Time /years")
plt.title("Absolute Asteroid Position")
# plt.savefig("asteroid_deviation_linear.png")
plt.show()
# for chaneg in orbit number
# orbit_number = np.arange(10, 2010, 500) # range of planetary masses
# max_wander = np.zeros_like(orbit_number)
# for n in range(len(orbit_number)):
# import constants
# constants.time_span = np.linspace(
# 0, orbit_number * constants.period, int(orbit_number[n] * constants.PRECISION)
# )
# import orbits
# orbit = orbits.rotating_frame()
# wander_t = np.zeros((len(orbit.t)))
# for i in range(len(orbit.t)):
# wander_t[i] = np.linalg.norm(
# orbit.y[0:3, i] - lagrange[0:3]
# ) # deviation in pos only
# print("*" + str(np.amax(wander_t)))
# max_wander[n] = np.amax(wander_t)
# # max_wander[n] = wander_t.max()
# print("**" + str(max_wander[n]))
# print(max_wander)
# plt.plot(orbit_number, max_wander)
# plt.title("Change in wander with different orbit numbers")
# plt.xlabel("Orbit Num")
# plt.ylabel("Wander /AU")
# # plt.savefig("wanderwithorbitnum.png")
# plt.show()