New doubly-symmetric families of comet-like periodic orbits in the spatial restricted (N + 1)-body problem

Jaume Llibre; Luci Any Roberto

doi:https://doi.org/10.1007/s10569-009-9213-6

New doubly-symmetric families of comet-like periodic orbits in the spatial restricted (N + 1)-body problem

Jaume Llibre, Luci Any Roberto

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

For any positive integer N ≥ 2 we prove the existence of a new family of periodic solutions for the spatial restricted (N +1)-body problem. In these solutions the infinitesimal particle is very far from the primaries. They have large inclinations and some symmetries. In fact we extend results of Howison and Meyer (J. Diff. Equ. 163:174-197, 2000) from N = 2 to any positive integer N ≥ 2. © 2009 Springer Science+Business Media B.V.

Original language	English
Pages (from-to)	307-318
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	104
DOIs	https://doi.org/10.1007/s10569-009-9213-6
Publication status	Published - 1 Jul 2009

Keywords

Comet-like periodic orbits
Continuation method
Doubly symmetric periodic orbits
Spatial restricted (N + 1)-body problem

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abstract = "For any positive integer N ≥ 2 we prove the existence of a new family of periodic solutions for the spatial restricted (N +1)-body problem. In these solutions the infinitesimal particle is very far from the primaries. They have large inclinations and some symmetries. In fact we extend results of Howison and Meyer (J. Diff. Equ. 163:174-197, 2000) from N = 2 to any positive integer N ≥ 2. {\textcopyright} 2009 Springer Science+Business Media B.V.",

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AU - Llibre, Jaume

AU - Roberto, Luci Any

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N2 - For any positive integer N ≥ 2 we prove the existence of a new family of periodic solutions for the spatial restricted (N +1)-body problem. In these solutions the infinitesimal particle is very far from the primaries. They have large inclinations and some symmetries. In fact we extend results of Howison and Meyer (J. Diff. Equ. 163:174-197, 2000) from N = 2 to any positive integer N ≥ 2. © 2009 Springer Science+Business Media B.V.

AB - For any positive integer N ≥ 2 we prove the existence of a new family of periodic solutions for the spatial restricted (N +1)-body problem. In these solutions the infinitesimal particle is very far from the primaries. They have large inclinations and some symmetries. In fact we extend results of Howison and Meyer (J. Diff. Equ. 163:174-197, 2000) from N = 2 to any positive integer N ≥ 2. © 2009 Springer Science+Business Media B.V.

KW - Comet-like periodic orbits

KW - Continuation method

KW - Doubly symmetric periodic orbits

KW - Spatial restricted (N + 1)-body problem

U2 - https://doi.org/10.1007/s10569-009-9213-6

DO - https://doi.org/10.1007/s10569-009-9213-6

M3 - Article

VL - 104

SP - 307

EP - 318

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

ER -