Astronomisches Rechen-Institut Heidelberg

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ARI-Heidelberg Mitteilungen Serie A, No. 177

Author(s): Schubart, J.
Title: Libration and Circulation of a 3/2-Resonance Argument
Source: In: Resonances in the Motion of Planets, Satellites and Asteroids; S. Ferraz-Mello, W. Sessin (eds.), Instituto Astronomico e Geofisico, Universidade de Sao Paulo, Sao Paulo, p. 143-148
Year: 1985
Abstract: The asteroidal 3/2-resonace case of the planar circular restricted three-body problem is studied by numerical integration of 12 fictitious orbits over more than 5000 yr. A resonance argument considered shows permanent libration in four cases. Other orbits are characterized by an interchange of temporary libration and circulation of this argument. A qualitative description of the results appears together with suggestions on methods of treatment that include a test on quasi-periodicity.
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