The Roche problem for polytropes in central orbits

Details The Roche problem for polytropes in central orbits The Roche problem for polytropes in central orbits

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.191..897g&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 191, June 1980, p. 897-924. Australian Research Grants Committee

Astronomy and Astrophysics

Astronomy

31

Binary Stars, Orbit Calculation, Polytropic Processes, Roche Limit, Stellar Motions, Circular Orbits, Coupled Modes, Elliptical Orbits, Hyperbolic Trajectories, Linear Equations, Perturbation Theory, Saturn Rings, Solar System

Scientific paper

The evolution of a system consisting of an inviscid polytrope and a point mass in initial orbits which are either elliptical, parabolic or hyperbolic is studied. For each type of central orbit several orbits were followed to determine the effect of periastron separations less than or greater than the Roche distance for circular orbits. Two numerical methods were used to allow a treatment of both very weak perturbations and perturbations sufficiently strong to disrupt the polytrope. The results have been applied to the Fabian-Pringle-Rees capture mechanism, to Roche's hypothesis of the origin of Saturn's rings and to Woolfson's tidal model of the origin of the solar system.

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