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49 lines
1.5 KiB
Python
49 lines
1.5 KiB
Python
from math import pi
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class PlanetaryRadius:
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# all densities are till_rho_0
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ice_density = 917 # kg/m^3
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basalt_density = 2700 # kg/m^3
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iron_density = 7800 # kg/m^3
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def __init__(self, total_mass: float, water_fraction: float, core_fraction: float):
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self.total_mass = total_mass
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self.water_fraction = water_fraction
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self.core_fraction = core_fraction
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@property
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def mantle_fraction(self) -> float:
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return 1 - self.core_fraction - self.water_fraction
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@property
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def core_mass(self) -> float:
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return self.total_mass * self.core_fraction
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@property
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def mantle_mass(self) -> float:
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return self.total_mass * self.mantle_fraction
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@property
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def water_mass(self) -> float:
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return self.total_mass * self.water_fraction
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@property
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def core_radius(self) -> float:
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return (self.core_mass / self.iron_density * 3 / 4 / pi) ** (1 / 3)
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@property
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def mantle_radius(self) -> float:
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return (self.mantle_mass / self.basalt_density * 3 / 4 / pi + self.core_radius ** 3) ** (1 / 3)
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@property
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def total_radius(self) -> float:
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return (self.water_mass / self.ice_density * 3 / 4 / pi + self.mantle_radius ** 3) ** (1 / 3)
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if __name__ == '__main__':
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testradius = PlanetaryRadius(1e21, 0.1, 0)
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assert testradius.mantle_radius == 430127.0069140495
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assert testradius.total_radius == 472683.51839024643
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testradius = PlanetaryRadius(1e21, 0.05, 0)
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assert testradius.total_radius == 459494.5247690266
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