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import numpy as np | ||
from scipy.integrate import odeint | ||
from scipy.optimize import minimize | ||
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class Spacecraft: | ||
def __init__(self, mass, thrust, specific_impulse): | ||
self.mass = mass | ||
self.thrust = thrust | ||
self.specific_impulse = specific_impulse | ||
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def dynamics(self, state, t): | ||
# Define the dynamics of the spacecraft | ||
x, y, z, vx, vy, vz = state | ||
ax, ay, az = self.thrust / self.mass | ||
return [vx, vy, vz, ax, ay, az] | ||
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def trajectory(self, initial_state, time_of_flight): | ||
# Simulate the trajectory of the spacecraft | ||
solution = odeint(self.dynamics, initial_state, time_of_flight) | ||
return solution | ||
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def optimize_trajectory(self, initial_state, time_of_flight, target_state): | ||
# Optimize the trajectory to reach a target state | ||
def objective(thrust_vector): | ||
solution = odeint(self.dynamics, initial_state, time_of_flight, args=(thrust_vector,)) | ||
return np.linalg.norm(solution[-1] - target_state) | ||
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result = minimize(objective, self.thrust) | ||
return result.x | ||
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# Example usage: | ||
spacecraft = Spacecraft(mass=1000, thrust=100, specific_impulse=300) | ||
initial_state = [0, 0, 0, 0, 0, 0] | ||
time_of_flight = np.linspace(0, 100, 1000) | ||
target_state = [100, 100, 100, 0, 0, 0] | ||
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trajectory = spacecraft.trajectory(initial_state, time_of_flight) | ||
optimized_thrust = spacecraft.optimize_trajectory(initial_state, time_of_flight, target_state) |