Periodic Orbits in the Restricted Problem: An Analysis in the Neighborhood of a 1st Species-2nd Species Bifurcation

DOI10.1137/0141013zbMath0487.70015OpenAlexW1980077474MaRDI QIDQ3948634

Lawrence M. Perko

Publication date: 1981

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0141013

zbMATH Keywords

restricted problemsmall mass ratioexistence and first order asymptotic approximation of two one-parameter families of periodic orbitsneighborhood of 1st species-2nd species bifurcation orbit

Mathematics Subject Classification ID

Three-body problems (70F07)

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Evolution of the general solution of the restricted problem covering symmetric and escape solutions ⋮ Second-species solutions in the circular and elliptic restricted three- body problem. I: Existence and asymptotic approximation ⋮ Second species solutions in the circular and elliptic restricted three- body problem. II: Numerical explorations ⋮ A note on the elliptic restricted three-body problem ⋮ Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0

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