Sur l'existence de certaines configurations d'equilibre relatif dans le probleme desN corps

DOI10.1007/BF01238758zbMath0850.70116OpenAlexW2913636001MaRDI QIDQ4711641

B. Elmabsout

Publication date: 25 June 1992

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238758

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (15)

Periodic solutions for planar 2N-body problems ⋮ Sur l'instabilité de certaines positions d'équilibre relatif dans le problème des n corps. (About the instability of certain relative equilibrium position in the n-body problem) ⋮ Studying the stability of equilibrium solutions in a planar circular restricted four-body problem ⋮ A global regularization for the \((N+1)\)-body problem with the primaries in a regular \(N\)-gon central configuration ⋮ On a class of central configurations in the planar \(3n\)-body problem ⋮ New classes of spatial central configurations for \(N + N + 2\)-body problem ⋮ The pyramidal configurations of \(N\)+1 bodies cannot rotate. ⋮ Regular polygon central configurations of the N-body problem with general homogeneous potential ⋮ Polygonal homographic orbits of the curved $n$-body problem ⋮ The inverse problem for homothetic polygonal central configurations ⋮ Periodic motions and their stability in a \(N=\nu+1\)-body regular polygonal configuration ⋮ Nested regular polygon solutions for planar \(2N\)-body problems ⋮ Stability of some degenerate positions of relative equilibrium in then-body problem ⋮ Relative equilibria in the 3-dimensional curved n-body problem ⋮ On the number of central configurations in the n-body problem

Cites Work

• Unnamed Item
• Relative equilibria and the virial theorem
• Permanent Configurations in the Problem of Four Bodies

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