𝔖 Bobbio Scriptorium
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Robe's restricted three-body problem revisited

✍ Scribed by A. R. Plastino; A. Plastino

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
413 KB
Volume
61
Category
Article
ISSN
1572-9478

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Contact geometry of the restricted three
Contact geometry of the restricted three-body problem
✍ Peter Albers; Urs Frauenfelder; Otto Van Koert; Gabriel P. Paternain πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 260 KB

## Abstract We show that the planar circular restricted three‐body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of contact topology