Non-Schubart periodic orbits in the rectilinear three-body problem

DOI10.1007/s10569-010-9278-2zbMath1223.70028OpenAlexW2068446499MaRDI QIDQ642359

Masaya Masayoshi Saito, Kiyotaka Tanikawa

Publication date: 26 October 2011

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9278-2

zbMATH Keywords

chaosperiodic orbitsthree-body problemsymbolic dynamicstriple collision

Mathematics Subject Classification ID

Three-body problems (70F07) Collisions in celestial mechanics, regularization (70F16)

Related Items (3)

Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem

Cites Work

• Computation of weak stability boundaries: Sun-Jupiter system
• Transient chaos in the Sitnikov problem
• Symmetric planar central configurations of five bodies: Euler plus two
• The rectilinear three-body problem using symbol sequence. I: Role of triple collision
• The rectilinear three-body problem using symbol sequence. II: Role of the periodic orbits
• Triple collision in the collinear three-body problem
• Triple collisions in the one-dimensional three-body problem
• Kolmogorov and Nekhoroshev theory for the problem of three bodies
• The rectilinear three-body problem
• One-dimensional three-body problem via symbolic dynamics
• Chaos in the one-dimensional gravitational three-body problem

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