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Orbits in Adiabatically Contracting Spherical Potentials

Published online by Cambridge University Press:  22 December 2003

C. Boily ,
P. Patsis ,
S. Portegies ,
R. Spurzem ,
C. Theis ,
R. Jesseit  and
A. Burkert
R. Jesseit
Affiliation:
Max-Planck-Institut fuer Astronomie, Koenigstuhl 17, 69117 Heidelberg, Germany
A. Burkert
Affiliation:
Max-Planck-Institut fuer Astronomie, Koenigstuhl 17, 69117 Heidelberg, Germany
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Abstract

It was recently shown in N-body simulations that the simpleadiabatic invariant r M(r) describes the evolution of acontracting spherical density distribution very well. This is surprising as this adiabatic invariant is only valid forcircular orbits. Orbits in spherically symmetric potentialsresemble rather precessing ellipses. We want to highlight someproblems involved in proving the validity of the adiabaticapproximation on a orbit to orbit basis. Statistical methods aremore promising.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 10: JENAM 2002, Galactic & Stellar Dynamics , 2003 , pp. 111
Copyright
© EAS, EDP Sciences, 2003

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