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Robe’s restricted three-body problem with drag. (English) Zbl 0890.70006

Summary: Robe’s restricted three-body problem is investigated with regards to the effects of a linear drag force. In particular, we study stability of the model’s equilibrium points. Two scenarios are envisaged: the one originally discussed by Robe himself, and the one that assumes for the fluid body the structure of a Roche’s ellipsoid.

MSC:

70F07 Three-body problems
76B99 Incompressible inviscid fluids
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