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import numpy as np | ||
from scipy.integrate import odeint | ||
from scipy.optimize import minimize | ||
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class PropulsionModel: | ||
def __init__(self, energy_source, mass_ratio, warp_core_efficiency): | ||
self.energy_source = energy_source | ||
self.mass_ratio = mass_ratio | ||
self.warp_core_efficiency = warp_core_efficiency | ||
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def calculate_warp_factor(self, velocity): | ||
""" | ||
Calculate the warp factor using the Alcubierre Warp Drive metric. | ||
Args: | ||
velocity (float): The velocity of the spacecraft. | ||
Returns: | ||
float: The warp factor. | ||
""" | ||
warp_factor = 1 / np.sqrt(1 - (velocity ** 2) / (self.mass_ratio ** 2)) | ||
return warp_factor | ||
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def optimize_warp_core(self, initial_conditions, time_span): | ||
""" | ||
Optimize the warp core using a genetic algorithm. | ||
Args: | ||
initial_conditions (list): The initial conditions for the warp core. | ||
time_span (list): The time span for the optimization. | ||
Returns: | ||
list: The optimized warp core parameters. | ||
""" | ||
def objective_function(params): | ||
# Simulate the warp core using the Alcubierre Warp Drive metric | ||
warp_core_simulation = self.simulate_warp_core(params, time_span) | ||
# Calculate the objective function (e.g. minimize energy consumption) | ||
objective = np.sum(warp_core_simulation ** 2) | ||
return objective | ||
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result = minimize(objective_function, initial_conditions, method="SLSQP") | ||
optimized_params = result.x | ||
return optimized_params | ||
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def simulate_warp_core(self, params, time_span): | ||
""" | ||
Simulate the warp core using the Alcubierre Warp Drive metric. | ||
Args: | ||
params (list): The warp core parameters. | ||
time_span (list): The time span for the simulation. | ||
Returns: | ||
numpy array: The simulated warp core data. | ||
""" | ||
# Define the Alcubierre Warp Drive metric | ||
def alcubierre_metric(t, y): | ||
dydt = np.zeros_like(y) | ||
dydt[0] = y[1] | ||
dydt[1] = -self.mass_ratio ** 2 * y[0] * (1 - y[0] ** 2) | ||
return dydt | ||
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# Simulate the warp core | ||
solution = odeint(alcubierre_metric, params, time_span) | ||
return solution | ||
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def calculate_exotic_matter(self, warp_factor): | ||
""" | ||
Calculate the exotic matter required for the warp drive. | ||
Args: | ||
warp_factor (float): The warp factor. | ||
Returns: | ||
float: The exotic matter required. | ||
""" | ||
exotic_matter = self.mass_ratio ** 2 * warp_factor ** 2 | ||
return exotic_matter |