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


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2004-04

AUTHORS

Jacques Henrard, Juan F. Navarro

ABSTRACT

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 μ1. 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 μ1, 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. More... »

PAGES

285-304

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:cele.0000038608.06392.e0

DOI

http://dx.doi.org/10.1023/b:cele.0000038608.06392.e0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1035548256


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