Families of Periodic Orbits Emanating From Homoclinic Orbits in the Restricted Problem of Three Bodies

Details Families of Periodic Orbits Emanating From Homoclinic Orbits in the Restricted Problem of Three Bodies Families of Periodic Orbits Emanating From Homoclinic Orbits in the Restricted Problem of Three Bodies

Apr 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89..285h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 3, p. 285-304 (2004).

Astronomy and Astrophysics

Astronomy

9

Bifurcations, Homoclinic Orbits, Periodic Orbits, Restricted Three Body Problem

Scientific paper

We describe and comment the results of a numerical exploration on the evolution of the families of periodic orbits associated with homoclinic orbits emanating from the equilateral equilibria of the restricted three body problem for values of the mass ratio larger than μ 1. This exploration is, in some sense, a continuation of the work reported in Henrard [Celes. Mech. Dyn. Astr. 2002, 83, 291]. Indeed it shows how, for values of μ. larger than μ 1, the Trojan web described there is transformed into families of periodic orbits associated with homoclinic orbits. Also we describe how families of periodic orbits associated with homoclinic orbits can attach (or detach) themselves to (or from) the best known families of symmetric periodic orbits.

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