Calculations Involving Hill Spheres
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Calculates the orbital radius at which a body can remain a satellite of a planet (Hill sphere).
a = r * (M2/3 * M1)^(1/3)
Example of the Earth's Hilleball
r (Earth's orbital radius) = 149,597,870.7 km
M2 (Earth’s mass) = 5.9724 × 10²⁴ kg
M1 (Sun’s mass) = 1.9891 × 10³⁰ kg
Example of the Earth's Hilleball
r (Earth's orbital radius) = 149,597,870.7 km
M2 (Earth’s mass) = 5.9724 × 10²⁴ kg
M1 (Sun’s mass) = 1.9891 × 10³⁰ kg
| Hill radius | km |
Orbits ranging from 1/2 to 1/3 of the Hill sphere’s radius are considered stable.
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