A correction to Griffith's retention theorem for the (n+1) body problem

An analysis is conducted for Griffith's (1974) consideration of the motion of an (n + 1)th body with respect to the mass center of the remaining bodies, which has been designated a 'general retention' theorem. It is found that the theorem's derivation can be improved, yielding a...

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Veröffentlicht in:Celestial Mechanics 1984-02, Vol.32 (2), p.93-98
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description An analysis is conducted for Griffith's (1974) consideration of the motion of an (n + 1)th body with respect to the mass center of the remaining bodies, which has been designated a 'general retention' theorem. It is found that the theorem's derivation can be improved, yielding a modified result. It is also noted that there are two sign errors in Griffith's paper.
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subjects Astronomy
Celestial mechanics (including n-body problems)
Earth, ocean, space
Exact sciences and technology
Fundamental astronomy
Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations
title A correction to Griffith's retention theorem for the (n+1) body problem
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