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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Vydáno v:	SIAM journal on applied dynamical systems Ročník 2; číslo 2; s. 219 - 237
Hlavní autoři:	Cors, Josep M., Hall, Glen R.
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2003
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14
ISSN:	1536-0040 0036-1399 1536-0040
DOI:	10.1137/S1111111102411304