Henon's generating solutions and the structure of periodic orbits\n families of the restricted three-body problem

2014/11/17 by А. Б. Батхин, Batkhin, Alexander B.
Engineering · Physics and Astronomy · #Astro and Planetary Science #Astrophysics of Galaxies (astro-ph.GA) #FOS: Physical sciences #Spacecraft Dynamics and Control #Stellar, planetary, and galactic studies

paper · pdf · doi:10.48550/arxiv.1411.4933

openalex publication_date 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a survey of Michel H 'enon works devoted to studying periodic\nsolutions of the well-known celestial mechanics problem -- restricted\nthree-body problem. The description of the main results obtained by H 'enon is\ngiven in comparison with results of russian mathematician Alexander Bruno.\nFinaly, a survey of H 'enon's works on Hill problem is given as well, and, more\nover, the authors propose some generalization of Hill problem that makes\npossible to provide the description of its families of periodic orbits in the\nform of common network.\n

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