The Tetrahedral 4-Body Problem with Rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Collision Singularities, Blow-Up, Total Collision Manifold, Blow&Hyphen, Up

Scientific paper

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. It is given a direct proof that all singularities of this model are due to collisions, and it is proved that the singularities due to simultaneous double collisions are regularizable.

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