Central configurations of the planar 1+N body problem

Josefina Casasayas; Jaume Llibre; Ana Nunes

doi:10.1007/BF00693325

Central configurations of the planar 1+N body problem

Josefina Casasayas, Jaume Llibre, Ana Nunes

Department of Mathematics

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

29 Citations (Scopus)

Abstract

In this paper, we give a new derivation of the equations for the central configurations of the 1+n body problem. In the case of equal masses, we show that for n large enough there exists only one solution. Our lower bound for n improves by several orders of magnitude the one previously found by Hall. © 1994 Kluwer Academic Publishers.

Original language	English
Pages (from-to)	273-288
Journal	Celestial Mechanics & Dynamical Astronomy
Volume	60
Issue number	2
DOIs	https://doi.org/10.1007/BF00693325
Publication status	Published - 1 Jan 1994

Keywords

Central configurations
N-body restricted problem

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10.1007/BF00693325

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title = "Central configurations of the planar 1+N body problem",

abstract = "In this paper, we give a new derivation of the equations for the central configurations of the 1+n body problem. In the case of equal masses, we show that for n large enough there exists only one solution. Our lower bound for n improves by several orders of magnitude the one previously found by Hall. {\textcopyright} 1994 Kluwer Academic Publishers.",

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AU - Llibre, Jaume

AU - Nunes, Ana

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N2 - In this paper, we give a new derivation of the equations for the central configurations of the 1+n body problem. In the case of equal masses, we show that for n large enough there exists only one solution. Our lower bound for n improves by several orders of magnitude the one previously found by Hall. © 1994 Kluwer Academic Publishers.

AB - In this paper, we give a new derivation of the equations for the central configurations of the 1+n body problem. In the case of equal masses, we show that for n large enough there exists only one solution. Our lower bound for n improves by several orders of magnitude the one previously found by Hall. © 1994 Kluwer Academic Publishers.

KW - Central configurations

KW - N-body restricted problem

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DO - 10.1007/BF00693325

M3 - Article

VL - 60

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JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 2

ER -

Central configurations of the planar 1+N body problem

Abstract

Keywords

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