On the Dynamics and Topology of the Elliptic Rectilinear Restricted 3-Body Problem

Details On the Dynamics and Topology of the Elliptic Rectilinear Restricted 3-Body Problem On the Dynamics and Topology of the Elliptic Rectilinear Restricted 3-Body Problem

Jul 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..77....1l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 77, Issue 1, p. 1-15 (2000).

Astronomy and Astrophysics

Astronomy

1

3-Body Problem, Collinear Restricted Problem, Regularization, 3-Body Problem, Collinear Restricted Problem, Regularization

Scientific paper

We study a symmetric collinear restricted 3-body problem, where the equal mass primaries perform elliptic collisions, while a third massless body moves in the line between the primaries, during the time between two consecutive elliptic collisions. After desingularizing binary and triple collisions, we prove the existence of a transversal heteroclinic orbit beginning and ending in triple collision. This orbit is the unique homothetic orbit that the problem possess. Finally, we describe the topology of the compact extended phase space.

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