A simple existence proof of Schubart periodic orbit with arbitrary masses

DOI10.1007/s11464-012-0171-zzbMath1252.70035OpenAlexW2146754934MaRDI QIDQ1758576

Duokui Yan

Publication date: 15 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0171-z

zbMATH Keywords

three-body problemregularizationcelestial mechanicsbinary collisionperiodic solution with singularitySchubart periodic orbit

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (2)

The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem

Cites Work

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• Index theory for symplectic paths with applications
• Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem
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• Linear stability analysis of the figure-eight orbit in the three-body problem
• The Retrograde Circular Solutions of the Restricted Three-Body Problem via a Submanifold Convex to the Flow
• A remarkable periodic solution of the three-body problem in the case of equal masses

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