Relative Equilibrium in the Three-Body Problem with a Rigid Body |
| |
| Authors: | Cosson Fanny Elmabsout Badaoui |
| |
| Institution: | (1) Laboratoire de Modélisation enMécanique (L.M.M.), U.F.R. de Mécanique, Université Paris 6, Tour 66, 5è étage 4 Place Jussieu, 75230 Paris cedex 05, France |
| |
| Abstract: | In the three-body problem, where two bodies are punctual and the third is rigid, we prove the existence of some relative equilibrium
configurations where the rigid body is either an homogeneous ball, an oblate or an elongated ball. In particular, we found
conditions of relative equilibrium of Euler and Lagrange type and several families of relative equilibrium configurations,
where the triangle of the two punctual bodies and the mass center of the rigid body is isosceles or having unequal sides.
This revised version was published online in July 2006 with corrections to the Cover Date. |
| |
| Keywords: | relative equilibrium three-body problem rigid body oblate ball elongated ball |
| 本文献已被 SpringerLink 等数据库收录！ |
|
