On the interaction between a spherical stellar system and a companion

Details On the interaction between a spherical stellar system and a companion On the interaction between a spherical stellar system and a companion

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.215..691p&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 215, Aug. 15, 1985, p. 691-699.

Statistics

Computation

15

Computational Astrophysics, Orbit Decay, Stellar Orbits, Stellar Systems, Circular Orbits, Orbit Perturbation, Spherical Harmonics

Scientific paper

The authors consider an external satellite in a circular orbit close to the boundary of a spherical stellar system. Assuming linear theory to be valid, and neglecting self-gravity they derive an expression for the mean orbital decay rate which they find to be computationally more convenient than that given by Tremaine & Weinberg. Using this they evaluate the orbital decay rate for two models taking account of all effective resonances. The results indicate a strong but erratic tidal interaction. When self-gravity is included, the authors derive a general upper limit for a mean orbital decay rate over a frequency range, for perturbations associated with a particular spherical harmonic. This limit is approached to within a factor of 4 for one of the authors' models.

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