Central configurations of the planar \(1+N\) body problem

DOI10.1007/BF00693325zbMath0821.70007MaRDI QIDQ1805476

Yanyan Li

Publication date: 18 May 1995

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

zbMATH Keywords

lower bounduniqueness of solutionequal masses

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (18)

Planar central configurations of some restricted (4 + 1)-body problems ⋮ BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY ⋮ 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 ⋮ On the central configurations of the planar 1 + 3 body problem ⋮ Symmetry and Asymmetry in the $1+N$ Coorbital Problem ⋮ On the symmetric central configurations of three coorbital satellites ⋮ On the central configurations of the n-body problem ⋮ Regions of a satellite's motion in a Maxwell's ring system of \(N\) bodies ⋮ Relative equilibria of the \((1+N)\)-vortex problem ⋮ Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem ⋮ Particle motions in Maxwell's ring dynamical systems ⋮ Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex ⋮ Uniqueness results for co-circular central configurations for power-law potentials ⋮ On the symmetric central configurations for the planar \(1+4\)-body problem ⋮ Bifurcation of Relative Equilibria of the (1+3)-Body Problem

Cites Work

• On the number of central configurations in the n-body problem
• Central configurations of the N-body problem via equivariant Morse theory
• Characterization of transversal homothetic solutions in the n-body problem
• Linear stability of relative equilibria with a dominant mass
• Topology and mechanics. II: The planar \(n\)-body problem
• Relative equilibria of the four-body problem
• On the role and the properties ofn body central configurations
• Classifying relative equilibria. II
• Relative equilibrium solutions in the four body problem
• Classifying relative equilibria. I
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