Second Species Periodic Orbits of the Elliptic 3 Body Problem

Details Second Species Periodic Orbits of the Elliptic 3 Body Problem Second Species Periodic Orbits of the Elliptic 3 Body Problem

Sep 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..93..343b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 93, Issue 1-4, pp. 343-371

Astronomy and Astrophysics

Astronomy

2

3-Body Problem, Collision, Second Species Orbits, Twist Map

Scientific paper

We consider the plane restricted elliptic 3 body problem with small mass ratio and small eccentricity and prove the existence of many periodic orbits shadowing chains of collision orbits of the Kepler problem. Such periodic orbits were first studied by Poincaré for the non-restricted 3 body problem. Poincaré called them second species solutions.

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