Self-gravitating response of a spherical galaxy to sinking satellites

Astronomy and Astrophysics – Astronomy

Scientific paper

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92

Celestial Mechanics, Disk Galaxies, Dwarf Galaxies, Orbit Decay, Stellar Motions, Interacting Galaxies, Luminosity, Orbital Mechanics, Perturbation

Scientific paper

A method which is an adaptation of the Kalnajs (1971, 1977) method for disk analysis is proposed for computing the response of a spherical stellar system to a periodic perturbation that can be either a normal mode or an externally applied force. The method has been applied to the analysis of the orbital decay of a satellite in a self-gravitating system. It is shown that the orbital decay time in the self-gravitating case is increased by a factor of 2-3 over that of the nonself-gravitating case, and that the response of the galaxy to the satellite is dominated by the dipole contribution. The results indicate that Chadrasekhar's (1943) formula may not adequately represent the orbital decay of an extended satellite in general.

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