Statistics – Computation
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...152...51h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 152, no. 1, Nov. 1985, p. 51-57.
Statistics
Computation
2
Celestial Mechanics, Natural Satellites, Planetary Rotation, Rotating Fluids, Angular Velocity, Computational Astrophysics, Incompressible Fluids, Mass Ratios, Planetary Evolution, Roche Limit, Rotary Stability, Planets, Satellites, Liquid, Composition, Models, Parameters, Mass, Equilibrium, Obliquity, Spin, Velocity, Roche Limit, Lagrange Points, Analysis, Phases, Rotation, Tidal Effects, Motion
Scientific paper
Rotating planet and satellite systems with large mass ratios are examined in terms of the stability of the systems, particularly for conditions which result in the formation of planet-moon systems such as Pluto-Charon. The planet is modeled as a Maclaurin spheroid massive enough to experience little influence by the satellite. Several equilibrium sequences are calculated for the shapes which can be attained by a totally liquid satellite. Relationships are established between mass ratios and the point at which the Roche lobe will be filled and mass will be leaked by the satellite. It is shown that the satellite will not fission during synchronous rotation. Limits of elongation are derived for the satellite in asynchronous rotation, i.e., points at which the Roche lobe will be filled. Actual mass shedding is attributable to internal motions within the satellite. The motions begin at the point of lowest angular momentum, before the Roche lobe elongation point is reached.
Eriguchi Yoshiharu
Hachisu Izumi
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