Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..96..381k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 96, no. 2, Oct. 1983, p. 381-404.
Astronomy and Astrophysics
Astrophysics
3
Astronomical Models, Celestial Mechanics, Roche Limit, Binary Stars, Equipotentials, Incompressibility, Stellar Oscillations
Scientific paper
The minimum distance, or Roche limit, to which a small satellite can approach its central star without losing its stability is investigated. The general formulation of the acoustic oscillations of stellar configurations in binary systems, of arbitrary structure about the equilibrium form, distorted by rotation and mutual tidal action, is presented. The equations for the shape of the equipotential surfaces of such systems are studied in terms of the Clairaut coordinates in which the gravitational potential defining the equilibrium surface plays the role of the radial coordinate. The equations are solved for the classical Roche problem in which the oscillating satellite of infinitesimal mass consists of homogeneous and incompressible material, while its primary components acts gravitationally as a mass-point. The solution agrees with that of Chandresekhar (1963) based on the virial theorem, but the method is more useful for generalizing the Roche limit to systems of finite mass ratios consisting of components of finite size.
Kopal Zdenek
Song Guo-Xiang
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