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

Cambridge; Clare College; Donald Lynden-Bell (The Observatories of the Carnegie Institution; Pasadena; The Institute of Astronomy; UK.); USA

arxiv: astro-ph/0210417 · v1 · submitted 2002-10-18 · 🌌 astro-ph · gr-qc

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

Donald Lynden-Bell (The Observatories of the Carnegie Institution , Pasadena , USA , The Institute of Astronomy , Clare College , Cambridge , UK.) This is my paper

classification 🌌 astro-ph gr-qc

keywords integralthirdcentresderivationfindfixedsimpleangular

0 comments

read the original abstract

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.

This paper has not been read by Pith yet.

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

discussion (0)