some small config edits, added jwst attempts for orbit
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@ -4,4 +4,10 @@ __pycache__
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/build
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/cmake-build-*
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CMakeFiles/
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*.cmake
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*.cmake
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/rust/target
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/rust/target/*
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rust/Cargo.lock
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out.out
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output.json
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*.png
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@ -82,4 +82,4 @@ if(ENABLE_NCURSES)
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find_package(Curses REQUIRED)
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target_compile_definitions(orbital_simulator PRIVATE NCURSES_ENABLED)
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target_link_libraries(orbital_simulator PRIVATE ${CURSES_LIBRARIES})
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endif()
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endif()
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58
animate.py
58
animate.py
@ -58,6 +58,22 @@ def read_output_file(filename):
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return positions, times
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def calculate_l2_point(sun_pos, earth_pos):
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"""Calculate L2 Lagrange point position."""
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# Calculate distance between bodies
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dx = earth_pos[0] - sun_pos[0]
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dy = earth_pos[1] - sun_pos[1]
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r = np.sqrt(dx*dx + dy*dy)
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# Calculate mass ratio (using approximate values)
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mu = 5.972e24 / (1.989e30 + 5.972e24) # Earth mass / (Sun mass + Earth mass)
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# Calculate L2 position (beyond Earth)
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L2_x = sun_pos[0] + (1 + mu**(1/3)) * dx
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L2_y = sun_pos[1] + (1 + mu**(1/3)) * dy
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return (L2_x, L2_y)
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def center_positions(positions, center_body):
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"""Center all positions relative to the specified body."""
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if center_body not in positions:
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@ -103,9 +119,7 @@ def create_animation(positions, times, output_file=None, center_body=None):
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# Set up the plot
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ax.set_xlabel('X (m)')
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ax.set_ylabel('Y (m)')
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title = 'Orbital Simulation'
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if center_body:
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title += f' (centered on {center_body})'
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title = 'Orbital Simulation (L2 centered)'
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ax.set_title(title)
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ax.legend()
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@ -121,11 +135,23 @@ def create_animation(positions, times, output_file=None, center_body=None):
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if not all_x or not all_y:
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print("Error: No valid position data found")
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return
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# Calculate initial L2 point for reference
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if 'Sun' in positions and 'Earth' in positions:
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initial_l2 = calculate_l2_point(positions['Sun'][0], positions['Earth'][0])
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# Set a fixed zoom level around L2 (adjust the factor to change zoom)
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zoom_factor = 2e9 # 2 million km view
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ax.set_xlim(-zoom_factor, zoom_factor)
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ax.set_ylim(-zoom_factor, zoom_factor)
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max_range = max(max(abs(min(all_x)), abs(max(all_x))),
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max(abs(min(all_y)), abs(max(all_y))))
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ax.set_xlim(-max_range, max_range)
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ax.set_ylim(-max_range, max_range)
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# Create L2 point scatter plot at origin
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l2_scatter, = ax.plot([0], [0], 'gx', markersize=10, label='L2')
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scatters['L2'] = l2_scatter
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else:
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max_range = max(max(abs(min(all_x)), abs(max(all_x))),
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max(abs(min(all_y)), abs(max(all_y))))
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ax.set_xlim(-max_range, max_range)
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ax.set_ylim(-max_range, max_range)
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def init():
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"""Initialize the animation."""
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@ -135,10 +161,20 @@ def create_animation(positions, times, output_file=None, center_body=None):
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def update(frame):
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"""Update the animation for each frame."""
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for name, scatter in scatters.items():
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if positions[name]: # Only update if we have positions
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x, y = zip(*positions[name][:frame+1])
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scatter.set_data(x, y)
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if 'Sun' in positions and 'Earth' in positions:
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# Calculate L2 point for current frame
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l2_point = calculate_l2_point(positions['Sun'][frame], positions['Earth'][frame])
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# Update positions relative to L2
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for name, scatter in scatters.items():
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if name == 'L2':
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scatter.set_data([0], [0]) # Keep L2 at origin
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elif positions[name]: # Only update if we have positions
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x, y = zip(*positions[name][:frame+1])
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# Shift positions relative to L2
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x = [pos - l2_point[0] for pos in x]
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y = [pos - l2_point[1] for pos in y]
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scatter.set_data(x, y)
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return list(scatters.values())
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# Create the animation
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22
config/jwst.json
Normal file
22
config/jwst.json
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@ -0,0 +1,22 @@
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{
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"bodies": [
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{
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"name": "Earth",
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"mass": 5.972e24,
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"position": [1.47095e11, 0, 0],
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"velocity": [0, 29290, 0]
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},
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{
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"name": "Sun",
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"mass": 1.989e30,
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"position": [0, 0, 0],
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"velocity": [0, 0, 0]
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},
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{
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"name": "JWST",
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"mass": 6500,
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"position": [149217067274.40607, 0, 0],
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"velocity": [0, 29729.784, 0]
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}
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]
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}
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@ -21,9 +21,15 @@
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{
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"name": "Moon",
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"mass": 7.34767309e22,
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"position": [149982270700, 0, 0],
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"velocity": [0, 30822, 0]
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"position": [146699500000, 0, 0],
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"velocity": [0, 28278, 0]
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},
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{
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"name": "JWST",
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"mass": 6500,
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"position": [1.49995e11, 0, 0],
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"velocity": [0,30603,0]
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},
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{
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"name": "Sun",
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"mass": 1.989e30,
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@ -31,4 +37,4 @@
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"velocity": [0, 0, 0]
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}
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]
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}
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}
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158
python/plot_potential.py
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158
python/plot_potential.py
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@ -0,0 +1,158 @@
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import json
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import numpy as np
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import matplotlib.pyplot as plt
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from mpl_toolkits.axes_grid1 import make_axes_locatable
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from matplotlib.colors import LogNorm
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# Constants from our Rust implementation
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G = 6.67430e-11 # Gravitational constant
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R_0 = 149597870700 # Earth radius (normalization length)
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M_0 = 5.972e24 # Earth mass (normalization mass)
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T_0 = 5060.0 # Characteristic time
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def load_bodies(config_file):
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"""Load bodies from config file."""
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with open(config_file, 'r') as f:
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data = json.load(f)
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return data['bodies']
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def calculate_potential(x, y, bodies):
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"""Calculate gravitational potential at point (x,y)."""
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potential = 0.0
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for body in bodies:
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dx = x - body['position'][0]
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dy = y - body['position'][1]
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r = np.sqrt(dx*dx + dy*dy)
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if r > 0: # Avoid division by zero
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potential -= G * body['mass'] / r
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return potential
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def calculate_lagrange_points(bodies):
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"""Calculate approximate positions of Lagrange points."""
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if len(bodies) != 2:
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return []
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# Find primary and secondary bodies
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if bodies[0]['mass'] > bodies[1]['mass']:
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primary, secondary = bodies[0], bodies[1]
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else:
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primary, secondary = bodies[1], bodies[0]
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# Calculate distance between bodies
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dx = secondary['position'][0] - primary['position'][0]
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dy = secondary['position'][1] - primary['position'][1]
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r = np.sqrt(dx*dx + dy*dy)
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# Calculate mass ratio
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mu = secondary['mass'] / (primary['mass'] + secondary['mass'])
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# Calculate Lagrange points
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L1 = np.array([primary['position'][0] + (1 - mu**(1/3)) * dx,
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primary['position'][1] + (1 - mu**(1/3)) * dy])
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L2 = np.array([primary['position'][0] + (1 + mu**(1/3)) * dx,
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primary['position'][1] + (1 + mu**(1/3)) * dy])
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L3 = np.array([primary['position'][0] - (1 + 5*mu/12) * dx,
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primary['position'][1] - (1 + 5*mu/12) * dy])
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L4 = np.array([primary['position'][0] + 0.5 * dx - 0.866 * dy,
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primary['position'][1] + 0.5 * dy + 0.866 * dx])
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L5 = np.array([primary['position'][0] + 0.5 * dx + 0.866 * dy,
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primary['position'][1] + 0.5 * dy - 0.866 * dx])
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return [L1, L2, L3, L4, L5]
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def plot_potential(config_file, grid_size=200, extent=1.5):
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"""Plot gravitational potential field."""
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# Load bodies
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bodies = load_bodies(config_file)
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# Find Earth and Sun
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earth = next((body for body in bodies if body['name'] == 'Earth'), None)
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sun = next((body for body in bodies if body['name'] == 'Sun'), None)
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if not (earth and sun):
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print("Error: Earth and Sun must be present in the config file")
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return
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# Calculate Lagrange points for Earth-Sun system
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lagrange_points = calculate_lagrange_points([sun, earth])
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# Create coordinate grid centered on Earth
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x = np.linspace(earth['position'][0] - extent*R_0, earth['position'][0] + extent*R_0, grid_size)
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y = np.linspace(earth['position'][1] - extent*R_0, earth['position'][1] + extent*R_0, grid_size)
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X, Y = np.meshgrid(x, y)
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# Calculate potential at each grid point
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Z = np.zeros_like(X)
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for i in range(grid_size):
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for j in range(grid_size):
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Z[i,j] = calculate_potential(X[i,j], Y[i,j], bodies)
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# Take absolute value for logarithmic scale
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Z_abs = np.abs(Z)
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# Calculate reference potential at Earth's position
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earth_potential = abs(calculate_potential(earth['position'][0], earth['position'][1], [sun]))
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# Set scale to focus on Earth-Sun system
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vmin = earth_potential / 10 # Show potential variations within an order of magnitude
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vmax = earth_potential * 10
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# Create plot
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plt.figure(figsize=(12, 10))
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ax = plt.gca()
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# Plot potential field with logarithmic scale
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im = ax.imshow(Z_abs, extent=[x[0], x[-1], y[0], y[-1]],
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origin='lower', cmap='viridis', norm=LogNorm(vmin=vmin, vmax=vmax))
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# Add colorbar
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divider = make_axes_locatable(ax)
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cax = divider.append_axes("right", size="5%", pad=0.05)
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plt.colorbar(im, cax=cax, label='|Gravitational Potential| (J/kg)')
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# Plot bodies with different colors
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body_colors = {
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'Sun': 'yellow',
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'Earth': 'blue',
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'Moon': 'gray',
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'Mars': 'red',
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'Venus': 'orange',
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'Mercury': 'brown',
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'Jupiter': 'orange',
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'Saturn': 'gold',
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'Uranus': 'lightblue',
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'Neptune': 'blue'
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}
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for body in bodies:
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color = body_colors.get(body['name'], 'white') # Default to white if name not found
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ax.plot(body['position'][0], body['position'][1], 'o',
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color=color, markersize=15, label=body['name'])
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# Plot Lagrange points
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for i, point in enumerate(lagrange_points, 1):
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ax.plot(point[0], point[1], 'r+', markersize=12, label=f'L{i}')
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# Customize plot
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ax.set_xlabel('X (m)')
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ax.set_ylabel('Y (m)')
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ax.set_title('Gravitational Potential Field with Lagrange Points (Log Scale)')
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ax.legend()
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# Save plot
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plt.savefig('potential_field.png', dpi=300, bbox_inches='tight')
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plt.show()
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if __name__ == "__main__":
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import argparse
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parser = argparse.ArgumentParser(description='Plot gravitational potential field from config file')
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parser.add_argument('config_file', help='Path to config file')
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parser.add_argument('--grid-size', type=int, default=200, help='Grid size for potential calculation')
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parser.add_argument('--extent', type=float, default=1.5, help='Plot extent in Earth radii')
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args = parser.parse_args()
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plot_potential(args.config_file, args.grid_size, args.extent)
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