Astronomy and Astrophysics – Astronomy
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..71...15v&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 71, Issue 1, p. 15-33 (1998).
Astronomy and Astrophysics
Astronomy
3
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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