Central configurations of the planar coorbitalsatellite problem

Josep M. Cors; Jaume Llibre; Merce Ollé

doi:https://doi.org/10.1023/B:CELE.0000043569.25307.ab

Central configurations of the planar coorbitalsatellite problem

Josep M. Cors, Jaume Llibre, Merce Ollé

Department of Mathematics

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

25 Citations (Scopus)

Abstract

We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2≤n≤4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration. © 2004 Kluwer Academic Publishers.

Original language	English
Pages (from-to)	319-342
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	89
DOIs	https://doi.org/10.1023/B:CELE.0000043569.25307.ab
Publication status	Published - 1 Dec 2004

Keywords

1 + n body problem
Contol configuration
Coorbital satellites

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title = "Central configurations of the planar coorbitalsatellite problem",

abstract = "We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2≤n≤4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration. {\textcopyright} 2004 Kluwer Academic Publishers.",

keywords = "1 + n body problem, Contol configuration, Coorbital satellites",

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T1 - Central configurations of the planar coorbitalsatellite problem

AU - Cors, Josep M.

AU - Llibre, Jaume

AU - Ollé, Merce

PY - 2004/12/1

Y1 - 2004/12/1

N2 - We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2≤n≤4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration. © 2004 Kluwer Academic Publishers.

AB - We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2≤n≤4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration. © 2004 Kluwer Academic Publishers.

KW - 1 + n body problem

KW - Contol configuration

KW - Coorbital satellites

U2 - https://doi.org/10.1023/B:CELE.0000043569.25307.ab

DO - https://doi.org/10.1023/B:CELE.0000043569.25307.ab

M3 - Article

VL - 89

SP - 319

EP - 342

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

ER -