A Compact Model for the Planar Rhomboidal 4-BODY Problem
Abstract
We obtain a compact model for the global study of the planar rhomboidal 4-body problem in a level of constant negative energy. This model is a variation of the non compact model obtained through a McGehee blow up transformation. but compactness permits to obtain results which are not clear in the other case.
- Publication:
-
Celestial Mechanics and Dynamical Astronomy
- Pub Date:
- December 1992
- DOI:
- 10.1007/BF00049146
- Bibcode:
- 1992CeMDA..54..343L
- Keywords:
-
- Center Of Mass;
- Equations Of Motion;
- Hamiltonian Functions;
- Many Body Problem;
- Dynamical Systems;
- Rhomboids;
- Astrophysics;
- Singularity collisions;
- blow up;
- projective transformations;
- total collision manifold;
- global flow