Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem

DOI10.3934/dcds.2017169zbMath1380.70031OpenAlexW2606577201MaRDI QIDQ524531

Duokui Yan, Tiancheng Ouyang

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017169

zbMATH Keywords

three-body problemlinear stabilityvariational methodspatial isosceles orbit

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (1)

Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem

Cites Work

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• Existence of the Broucke periodic orbit and its linear stability
• Hyperbolicity for symmetric periodic orbits in the isosceles three-body problem
• Index theory for symplectic paths with applications
• How the method of minimization of action avoids singularities
• On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
• Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses
• Action-minimizing periodic and quasi-periodic solutions in the \(n\)-body problem
• Removing collision singularities from action minimizers for the \(N\)-body problem with free boundaries
• New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses
• A Minimizing Property of Keplerian Orbits
• The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses
• Linear stability analysis of the figure-eight orbit in the three-body problem
• A remarkable periodic solution of the three-body problem in the case of equal masses

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