On the central configurations of the planar 1 + 3 body problem

DOI10.1007/s10569-010-9316-0zbMath1270.70036OpenAlexW2040177652MaRDI QIDQ361653

Jaume Llibre, Josep Maria Cors, Montserrat Corbera

Publication date: 30 August 2013

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150425

zbMATH Keywords

coorbital satellitescentral configurations1+3 body problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (13)

Numbers of relative equilibria in the planar four-vortex problem: some special cases ⋮ Symmetry, bifurcation and stacking of the central configurations of the planar \(1+4\) body problem ⋮ Counting central configurations at the bifurcation points ⋮ On the symmetric central configurations for the planar \(1+5\)-body problem with small arbitrary masses ⋮ Linear stability of the \(n\)-gon relative equilibria of the \((1+n)\)-body problem ⋮ New stacked central configurations for the planar 5-body problem ⋮ Symmetry and Asymmetry in the $1+N$ Coorbital Problem ⋮ On the symmetric central configurations of three coorbital satellites ⋮ Central configurations of four bodies with an axis of symmetry ⋮ Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem ⋮ Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex ⋮ On the symmetric central configurations for the planar \(1+4\)-body problem ⋮ Bifurcation of Relative Equilibria of the (1+3)-Body Problem

Cites Work

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• Central configurations of the five-body problem with equal masses
• Linear stability of a self-gravitating ring
• Linear stability of relative equilibria with a dominant mass
• Stationary configurations for co-orbital satellites with small arbitrary masses
• Central configurations of the planar coorbital satellite problem
• Central configurations of the planar \(1+N\) body problem
• LINEAR STABILITY IN THE 1 + N-GON RELATIVE EQUILIBRIUM
• Relative equilibria of four identical satellites

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