The periodic orbits of the second kind in terms of Giacaglia's variables with oblateness

DOI10.1007/BF00057744zbMath0679.70006OpenAlexW2020963791MaRDI QIDQ1823038

Ram Krishan Sharma

Publication date: 1989

Published in: Earth, Moon, and Planets (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00057744

zbMATH Keywords

analytic continuationplanar restricted three-body problemcanonical variablessecular perturbing potentialexistence of periodic orbits of the second kind

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Local and nonlocal bifurcation theory for dynamical systems (37G99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• Periodic orbits of the second kind in the restricted three-body problem when the more massive primary is an oblate spheroid
• A new proof of a theorem of J. Moser concerning the restricted problem of three bodies
• Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions

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