The relativistic Roche problem. II - Stability theory

Details The relativistic Roche problem. II - Stability theory The relativistic Roche problem. II - Stability theory

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...195..499f&link_type=abstract

Astrophysical Journal, vol. 195, Jan. 15, 1975, pt. 1, p. 499-505.

Physics

Fluid Dynamics

1

Astronomical Models, Black Holes (Astronomy), Dynamic Stability, Orbital Mechanics, Relativistic Theory, Roche Limit, Circular Orbits, Ellipsoids, Equatorial Orbits, Fluid Dynamics, Gravitational Effects, Many Body Problem, Photons, Satellite Perturbation, Two Body Problem

Scientific paper

We present an investigation of the dynamical stability of infinitesimal, incompressible, homogeneous, self-gravitating fluid bodies moving in circular equatorial orbits around a Kerr black hole. For near-photon orbits, instability (tidal disruption) sets in at the Roche-limit point. For the last stable orbit, instability sets in for a certain configuration somewhat more distorted from sphericity than the Roche-limit configuration.

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