Horseshoe Periodic Orbits in the Restricted Three Body Problem

J. Llibre () and Mercè Ollé ()
Additional contact information
J. Llibre: Universitat Autònoma de Barcelona, Dept. Matemàtiques
Mercè Ollé: ETSEIB (UPC), Dept. de Matemàtica Aplicada I

A chapter in New Advances in Celestial Mechanics and Hamiltonian Systems, 2004, pp 137-152 from Springer

Abstract: Abstract We consider the circular restricted three-body problem (CRTBP) in the synodical system of coordinates for values of the Jacobi constant C in the interval (3, C1) (where C1 is the value of C at the collinear equilibrium point L 1). We describe the existence of families of horseshoe periodic orbits when varying the mass parameter and the Jacobi constant. The relation between such orbits and the invariant manifolds of the Lyapunov families of periodic orbits around the collinear equilibrium point L 3 is also analysed.

Keywords: coorbital motion; periodic orbits; restricted three-body problem; invariant manifolds (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-9058-7_9

Ordering information: This item can be ordered from
http://www.springer.com/9781441990587

DOI: 10.1007/978-1-4419-9058-7_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().