ROBE RESTRICTED 3-BODY PROBLEM REVISITED

Robe's restricted three-body problem is reanalyzed with a view to inco rporate a new assumption, namely that the configuration of the fluid b ody is that described by an hydrostatic equilibrium figure (Roche's el lipsoid). In the concomitant gravitational field a full treatment of t he buoyancy force is given. The pertinent equations of motion are deri ved, the linear stability of the equilibrium solution is studied and t he connection between the effect of the buoyancy forces and a perturba tion of the Coriolis force is pointed out.