Statistics – Computation
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...289..193h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 289, Feb. 1, 1985, p. 193-197.
Statistics
Computation
1
Celestial Mechanics, Orbital Mechanics, Stellar Motions, Stellar Systems, Computational Astrophysics, Eccentric Orbits, Rotation
Scientific paper
The effects of dynamical friction on the orbit of a particle about a central, massive object are both analytically and numerically investigated. It is assumed that the constant-density stellar background providing the friction has no local velocity dispersion and does not contribute to the central force keeping the particle in orbit. After reducing the equations of motion for the system to a single-parameter form, approximate expressions relating the semimajor axis of the decaying circular orbit and time are found for both nonrotating and rotating stellar systems. The general validity of these relations is later supported by computer solution of the equations of motion for several circular and eccentric cases. It is found also with the aid of a computer that the circular orbit is unstable for these cases; noncircular orbits become more eccentric with time.
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