

Subject:
Finding the derivation of the "Hill Sphere" approximation
Category: Science > Astronomy Asked by: m4892ga List Price: $10.00 
Posted:
21 Apr 2005 12:40 PDT
Expires: 21 May 2005 12:40 PDT Question ID: 512335 
This is a threebody gravity question The "Hill Sphere" of the Earth is about 0.01AU. I would like an Internet reference for the derivation of the Hill Sphere approximation. If there is no Internet reference, could you copy the derivation for me from your hardcopy source to this site from whatever source is available to you?  
 
 


There is no answer at this time. 

Subject:
Re: Finding the derivation of the "Hill Sphere" approximation
From: realitorga on 13 Jul 2005 14:11 PDT 
The comment equating "Hill Sphere" to "Roche LIMIT" was almost correct, save for one small detail: the "Hill Sphere" and "Roche SPHERE" are the same thing. See http://en.wikipedia.org/wiki/Hill_sphere for a formula to approximate the radius of the Hill Sphere  located in the "formula and examples" section. 
Subject:
Re: Finding the derivation of the "Hill Sphere" approximation
From: realitorga on 13 Jul 2005 14:12 PDT 
There doesn't appear to be a derivation, though there is some explanation that may be useful. 
Subject:
Re: Finding the derivation of the "Hill Sphere" approximation
From: m4892ga on 13 Jul 2005 17:49 PDT 
Thanks for the comment relating the Roche Sphere and the Hill Sphere. I finally bought the book: "Solar System Dynamics", which does have the H S derivation. No Internet derivations to be had. 
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