Evolution with the mass parameter of families of asymmetric periodic solutions of the restricted three body problem

DOI10.1007/BF01358599zbMath0504.70008OpenAlexW1999947292MaRDI QIDQ4741735

D. B. Taylor

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01358599

zbMATH Keywords

restricted problemasymmetric periodic orbitsasymmetric bifurcationsequilateral equilibrium pointsexterior commensurabilitiesfour pairs of critical orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

Related Items (5)

New kinds of asymmetric periodic orbits in the restricted three-body problem ⋮ Families of asymmetric periodic orbits in the restricted three-body problem ⋮ Asymmetric periodic solutions in the restricted problem of three bodies ⋮ Inclined asymmetric librations in exterior resonances ⋮ Periodic orbits

Cites Work

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• Numerical investigation of the manifold \(I_{qp}\) in the Sun-Jupiter case of the restricted three-body problem
• Numerical determination of asymmetric periodic solutions
• Numerical determination of three-dimensional periodic orbits generated from vertical self-resonant satellite orbits
• Families of asymmetric periodic solutions of the restricted problem of three bodies for the Sun-Jupiter mass ratio and their relationship with the symmetric families
• Untersuchung einer Klasse in bezug auf die ζ‐Achse unsymmetrischer, periodischer Bahnen um beide Massen im problème restreint.
• The Trojan Manifold — Survey and Conjectures

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