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import numpy as np | ||
import matplotlib.pyplot as plt | ||
from mpl_toolkits.mplot3d import Axes3D | ||
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# Earth parameters | ||
earth_radius = 6371 # Earth radius in kilometers | ||
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# Satellite parameters | ||
num_satellites = 10 | ||
satellite_radius = 100 # Satellite radius in kilometers | ||
satellite_color = 'red' | ||
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# Generate random semi-major axes and eccentricities for satellite orbits | ||
semi_major_axes = np.random.uniform(800, 1500, num_satellites) | ||
eccentricities = np.random.uniform(0.1, 0.4, num_satellites) | ||
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# Time array | ||
num_frames = 100 | ||
time = np.linspace(0, 2 * np.pi, num_frames) | ||
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# Set up the figure and axes | ||
fig = plt.figure() | ||
ax = fig.add_subplot(111, projection='3d') | ||
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# Plotting the Earth | ||
u = np.linspace(0, 2 * np.pi, 100) | ||
v = np.linspace(0, np.pi, 50) | ||
x_earth = earth_radius * np.outer(np.cos(u), np.sin(v)) | ||
y_earth = earth_radius * np.outer(np.sin(u), np.sin(v)) | ||
z_earth = earth_radius * np.outer(np.ones(np.size(u)), np.cos(v)) | ||
ax.plot_surface(x_earth, y_earth, z_earth, color='lightblue') | ||
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# Plotting the satellite orbits and markers | ||
for i in range(num_satellites): | ||
semi_major_axis = semi_major_axes[i] | ||
eccentricity = eccentricities[i] | ||
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# Parametric equations for satellite orbit | ||
r = semi_major_axis * (1 - eccentricity ** 2) / (1 + eccentricity * np.cos(time)) | ||
x_satellite = r * np.cos(time) | ||
y_satellite = r * np.sin(time) | ||
z_satellite = np.zeros_like(x_satellite) | ||
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# Plot satellite orbit | ||
ax.plot(x_satellite, y_satellite, z_satellite, color='gray') | ||
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# Plotting the satellite markers | ||
marker_x = x_satellite[-1] | ||
marker_y = y_satellite[-1] | ||
marker_z = z_satellite[-1] | ||
ax.scatter(marker_x, marker_y, marker_z, color=satellite_color, s=satellite_radius, alpha=0.8) | ||
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# Set plot labels and limits | ||
ax.set_xlabel('X (km)') | ||
ax.set_ylabel('Y (km)') | ||
ax.set_zlabel('Z (km)') | ||
ax.set_title('Satellite Orbits') | ||
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# Set plot aspect ratio to be equal | ||
ax.set_box_aspect([1, 1, 1]) | ||
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plt.show() |