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

DOI10.1007/BF01358598zbMath0504.70007OpenAlexW2050769284MaRDI QIDQ4741734

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/bf01358598

zbMATH Keywords

bifurcationssymmetric periodic solutionsrestricted problemasymmetric periodic solutionsexterior and interior small integer commensurabilitiesmessage methodsecond body has zero mass

Mathematics Subject Classification ID

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

Related Items (7)

Periodic orbits of the planetary type and their stability ⋮ 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 ⋮ Evolution with the mass parameter of families of asymmetric periodic solutions of the restricted three body problem ⋮ Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability ⋮ Periodic orbits

Cites Work

• Numerical investigation of the manifold \(I_{qp}\) in the Sun-Jupiter case of the restricted three-body problem
• Numerical exploration of commensurable periodic solutions of the restricted problem of three bodies and their stability
• Untersuchung einer Klasse in bezug auf die ζ‐Achse unsymmetrischer, periodischer Bahnen um beide Massen im problème restreint.
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