Families of Symmetric Periodic Solutions of Hill's Problem II: Second Species Periodic Solutions for C ≪-1

DOI10.2307/2374163zbMath0492.70029OpenAlexW4246383672MaRDI QIDQ3954879

Lawrence M. Perko

Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374163

zbMATH Keywords

singular perturbationsHill's problemJacobi constantfirst order asymptotic approximationbi-elliptical orbitsfamilies of 2nd species symmetric periodic solutionslimit orbit contains angular point in sense of Poincare

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular perturbations of ordinary differential equations (34D15) Celestial mechanics (70F15) Orbital mechanics (70M20)

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Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0 ⋮ Periodic solutions of the restricted three-body problem for a small mass ratio

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