From rotations and inclinations to zero configurational velocity surfaces, II. The best possible configurational velocity surfaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1987 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics, volume 40, pages 197-223 (issn: 0008-8714, eissn: 1572-9478,

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Authors: Saari, Donald G.;

doi: 10.1007/bf01235841

From rotations and inclinations to zero configurational velocity surfaces, II. The best possible configurational velocity surfaces

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Abstract

Summary: [For part I see the author, ibid. 33, 299-318 (1984; Zbl 0549.70003).] The best possible zero-configurational velocity surfaces for the general N-body problem in three space are derived. The basic construction of these surfaces is described in detail for the three body problem and for other flat configurations. The construction for nonflat configurations is outlined.

Related Organizations

Northwestern University
United States
NORTHWESTERN UNIVERSITY
United States

Keywords

Three-body problems, nonflat configurations, Celestial mechanics, zero-configurational velocity surfaces, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, N-body problem, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

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