On the existence of periodic solutions of Poincar�'s second sort in the general problem of three bodies moving in plane

DOI10.1007/BF01230247zbMath0431.70017MaRDI QIDQ3868813

P. J. Message

Publication date: 1980

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

zbMATH Keywords

periodic solutionsplanar general problem of three bodiesPoincare's second sort

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items (5)

Periodic orbits of the planetary type and their stability ⋮ The present status of periodic orbits ⋮ On the existence of periodic solutions of Poincare's third sort in the general problem of three bodies in three dimensions ⋮ On the relation between resonance and instability in planetary systems ⋮ Periodic orbits

Cites Work

• Grundlagen einer Genealogie der periodischen Bahnen im restringierten Dreikörperproblem. I. Mitt.: Beweis des E. Strömgrenschen dynamischen Abschlussprinzips der periodischen Bahngruppen
• A new proof of a theorem of J. Moser concerning the restricted problem of three bodies
• New periodic solutions of the plane three-body problem corresponding to elliptic motion in the lunar theory
• On the Occurrence of Commensurable Mean Motions in the Solar System: The Mirror Theorem
• Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions
• Unnamed Item

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