The Hill sphere of a celestial object is the area in which it is the dominating force in the area.(adsbygoogle = window.adsbygoogle || []).push({});

I was wondering how the formula was determined.

If themass of the smaller body is, and it orbits amheavier body of masswithMasemi-major axis aand aneccentricity of, then theeradiusis, approximately:rof the Hill sphere for the smaller body

Equation: [tex]r \approx a(1-e)\sqrt[3]{m/3M}[/tex]

I believe I understand how to determine eccentricity and the semi-major axis, I'm just searching for how the whole thing comes together.

http://en.wikipedia.org/wiki/Hill_sphere" [Broken]

The derivation on the wikipedia article didn't help much.

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# Hill Sphere Explanation

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