Robe's restricted three-body problem revisited |
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| Authors: | A R Plastino A Plastino |
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| Institution: | (1) Facultad de Ciencias Astronómicas y Geofísicas de la Universidad Nacional de La Plata, CC 727, 1900 La Plata, Argentina;(2) Present address: Physics Department, National University La Plata, La Plata, Argentina |
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| Abstract: | 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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| Keywords: | Restricted three body problem buoyancy forces |
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