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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 5, Issue 2, Pages 101 - 139 (December 2003)

THE BINARY COLLISION AND THE INFINITY IN THE TETRAHEDRAL 4-BODY PROBLEM WITH ROTATION
Claudio Vidal (Brasil)

Abstract:
We consider four bodies in space with same masses forming two binaries, each one symmetric with respect to a fixed axis and moving under Newtonian gravitation in opposite directions about this axis.

Our objective in this paper is to study the motion near the simultaneous binary collisions (but it is not total collision) and the motion near the infinity in the tetrahedral four body problem with rotation.

Keywords and phrases: simultaneous double collisions, blow-up, collision manifold, escape orbits.

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