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@grazulis
Created May 31, 2023 06:57
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Calculate mass needed for Dyson sphere
import math
def calculate_dyson_sphere_mass():
# Constants
radius_au = 1.0 # Radius of Dyson sphere in AU
thickness = 3 # Thickness of the shell in meters
density = 5520.0 # Density of the shell material in kg/m^3
solar_system_mass = 1.99e30 # Total mass of the solar system in kg, including the Sun.
solar_planet_mass = 2.846e27 # Mass of just planets in kg, by adding up masses of the planets
# Convert AU to meters
radius_m = radius_au * 149.6e9
# Calculate the volume of the shell
volume_shell = (4/3) * math.pi * ((radius_m + thickness)**3 - radius_m**3)
# Calculate the mass of the shell
mass_shell = volume_shell * density
# Compare with the total mass of the solar system
if mass_shell > solar_system_mass:
print("There is not enough mass in the solar system to build the Dyson sphere.")
else:
print("There is enough mass in the solar system to build the Dyson sphere.")
if mass_shell > solar_planet_mass:
print("There is not enough planetary mass to build the Dyson sphere.")
else:
print("There is enough planetary mass to build the Dyson sphere.")
calculate_dyson_sphere_mass()
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