Saari's conjecture for the restricted three-body problem

DOI10.1007/s10569-006-9061-6zbMath1117.70012OpenAlexW2021189245WikidataQ123290874 ScholiaQ123290874MaRDI QIDQ870822

N. E. Zubov

Publication date: 15 March 2007

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

Full work available at URL: https://doi.org/10.1007/s10569-006-9061-6

zbMATH Keywords

Celestial mechanicsBKK theorySaari's conjectureRestricted three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items (2)

Finiteness in the planar restricted four-body problem ⋮ Saari's Conjecture for Elliptical Motions and Minimizing Solutions of the N-body Problem

Cites Work

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• Relative equilibria for the generalized rigid body
• Finiteness of relative equilibria of the four-body problem
• The number of roots of a system of equations
• Mathematical problems for the next century
• Saari's conjecture for the planar three-body problem with equal masses
• A counterexample to a generalized Saari's conjecture with a continuum of central configurations
• A computer-assisted proof of Saari’s conjecture for the planar three-body problem
• Using Algebraic Geometry
• Saari’s conjecture for the collinear $n$-body problem
• Some counterexamples to a generalized Saari’s conjecture
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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