New periodic solutions of the three dimensional restricted problem

DOI10.1007/BF01229123zbMath0308.70006MaRDI QIDQ4066672

Pierre Guillaume

Publication date: 1974

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

Mathematics Subject Classification ID

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

Related Items (6)

Hill's problem: Families of three-dimensional periodic orbits (Part I) ⋮ Periodic orbits around a rotating ellipsoid ⋮ Doubly-symmetric periodic solutions of the spatial restricted three-body problem ⋮ A new family of periodic orbits for the restricted problem ⋮ A new regularization of the restricted three-body problem and an application ⋮ Analytic continuation in the case of non-regular dependency on a small parameter with an application to celestial mechanics

Cites Work

• A new proof of a theorem of J. Moser concerning the restricted problem of three bodies
• Periodische Lösungen des restringierten Dreikörperproblems, die sich erst nach vielen Umläufen schließen
• Periodic solutions of the third sorte for the restricted problem of three bodies
• EXISTENCE OF PERIODIC SOLUTIONS PASSING NEAR BOTH MASSES OF THE RESTRICTED THREE-BODY PROBLEM
• Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions

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