Robe's Restricted Three-body Problem Revisited

Details Robe's Restricted Three-body Problem Revisited Robe's Restricted Three-body Problem Revisited

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61..197p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 61, Issue 2, pp.197-206

Astronomy and Astrophysics

Astronomy

8

Restricted Three Body Problem, Buoyancy Forces

Scientific paper

Robe's restricted three-body problem is reanalyzed with a view to incorporate a new assumption, namely that the configuration of the fluid body is that described by an hydrostatic equilibrium figure (Roche's ellipsoid). In the concomitant gravitational field a full treatment of the buoyancy force is given. The pertinent equations of motion are derived, the linear stability of the equilibrium solution is studied and the connection between the effect of the buoyancy forces and a perturbation of the Coriolis force is pointed out.

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