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Families of periodic horseshoe orbits in the restricted three-body problem

We compute families of symmetric periodic horseshoe orbits in the restricted three-body problem. Both the planar and three-dimensional cases are considered and several families are found.We describe how these families are organized as well as the behavior along and among the families of parameters such as the Jacobi constant or the eccentricity. We also determine the stability properties of individual orbits along the families. Interestingly, we find stable horseshoe-shaped orbit up to the quite high inclination of 17◦

© Astronomy & Astrophysics, 2005, vol. 432, núm. 3, p. 1115–1129

EDP Sciences

Author: Barrabés Vera, Esther
Mikkola, Seppo
Date: 2005
Abstract: We compute families of symmetric periodic horseshoe orbits in the restricted three-body problem. Both the planar and three-dimensional cases are considered and several families are found.We describe how these families are organized as well as the behavior along and among the families of parameters such as the Jacobi constant or the eccentricity. We also determine the stability properties of individual orbits along the families. Interestingly, we find stable horseshoe-shaped orbit up to the quite high inclination of 17◦
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Citation: Barrabés, E., i Mikkola, S. (2005). Families of periodic horseshoe orbits in the restricted three-body problem. Astronomy & Astrophysics, 432 (3), 1115–1129. Recuperat 12 juliol de 2011, a http://dx.doi.org/10.1051/0004-6361:20041483
ISSN: 0004-6361 (versió paper)
1432-0746 (versió electrònica)
Document access: http://hdl.handle.net/10256/3477
Language: eng
Publisher: EDP Sciences
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1051/0004-6361:20041483
Articles publicats (D-IMA)
Is part of: © Astronomy & Astrophysics, 2005, vol. 432, núm. 3, p. 1115–1129
Rights: Tots els drets reservats
Subject: Mecànica orbital
Orbital mechanics
Title: Families of periodic horseshoe orbits in the restricted three-body problem
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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