The Roche limit based on vibrational stability

Details The Roche limit based on vibrational stability The Roche limit based on vibrational stability

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984acasn..25..365s&link_type=abstract

(Acta Astronomica Sinica, vol. 25, 1984, p. 365-375) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 9, June 1985, p.

Statistics

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1

Computational Astrophysics, Incompressible Fluids, Roche Limit, Rotating Spheres, Systems Stability, Power Series, Tides, Vibration, Virial Theorem

Scientific paper

The Roche limit for a uniform incompressible liquid sphere has been derived using a modified version of Kopal's (1978) vibrational stability method. The method is generalized to the case of a radial nonuniform distribution of matter. The incompressibility condition of the sphere is obtained from an infinite set of coupled differential equations. The condition is also applied to the case of a nonuniform liquid sphere with radial density variation, and the results are discussed in detail.

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