A simple derivation and interpretation of the third integral in Stellar Dynamics

Details A simple derivation and interpretation of the third integral in Stellar Dynamics A simple derivation and interpretation of the third integral in Stellar Dynamics

2002-10-18

arxiv.org/abs/astro-ph/0210417v1

Mon.Not.Roy.Astron.Soc. 338 (2003) 208

Astronomy and Astrophysics

Astrophysics

3 Pages, Latex, No Figures. Submitted to MNRAS

Scientific paper

10.1046/j.1365-8711.2003.06041.x

Starting from the problem of two fixed centres we find a simple derivation of
its third integral in terms of the scalar product of the angular momenta about
the two fixed centres. This is then generalised to find the general form of the
potential in which an exact third integral exists.

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