Generating Families in the Restricted Three-Body Problem

DOI10.1007/3-540-44712-1zbMath0993.70001OpenAlexW1650840643MaRDI QIDQ2781438

Michel Hénon

Publication date: 20 March 2002

Published in: Lecture Notes in Physics Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-44712-1

zbMATH Keywords

stabilityinstabilityrestricted three-body problemquantitative analysisqualitative analysisbifurcation orbit

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (10)

A general method for the generation and extension of collinear libration point orbits ⋮ On families of periodic solutions of the restricted three-body problem ⋮ Invariant Cantor sets in the parametrized Hénon-Devaney map ⋮ Global attractors in the parametrized Hénon–Devaney map ⋮ To and fro motion for the hydrogen atom in a circularly polarized microwave field ⋮ Web of families of periodic orbits of the generalized Hill problem ⋮ Periodic solutions of the restricted three-body problem for a small mass ratio ⋮ Organization of spatially periodic solutions of the steady Kuramoto-Sivashinsky equation ⋮ Hénon–Devaney like maps ⋮ Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates

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