Coorbital Periodic Orbits in the Three Body Problem

We consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii. These moons avoid collision because they switch orbits during each close encounter. We approach the problem as a perturbation of decoupled Kepler problems a...

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Bibliographic Details
Published in:SIAM journal on applied dynamical systems Vol. 2; no. 2; pp. 219 - 237
Main Authors: Cors, Josep M., Hall, Glen R.
Format: Journal Article Publication
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2003
Subjects:
70 Mechanics of particles and systems
70F Dynamics of a system of particles, including celestial mechanics
Classificació AMS
coorbital motion
Enginyeria mecànica
Many-body problem
Matemàtiques i estadística
Moons
Orbits
periodic orbits of the first kind
Problema dels cossos múltiples
three body problem
Àrees temàtiques de la UPC
Òrbites
ISSN:1536-0040, 0036-1399, 1536-0040
Online Access:Get full text
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Summary:We consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii. These moons avoid collision because they switch orbits during each close encounter. We approach the problem as a perturbation of decoupled Kepler problems as in Poincare's periodic orbits of the first kind. The perturbation is large but only in a small region in the phase space. We discuss the relationship required among the small quantities (radial separation, mass, and minimum angular separation). Persistence of the orbits is discussed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:1536-0040
0036-1399
1536-0040
DOI:10.1137/S1111111102411304