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

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Abstract

The best possible zero configurational velocity surfaces for the generalN-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.

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Authors and Affiliations

  1. Department of Mathematics, Northwestern University, 60201, Evanston, Illinois, USA

    Donald G. Saari

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  1. Donald G. Saari
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This paper is dedicated to the memory of Harry Pollard: my mentor, my collaborator, and my good friend.

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Saari, D.G. From rotations and inclinations to zero configurational velocity surfaces, II. The best possible configurational velocity surfaces. Celestial Mechanics 40, 197–223 (1987). https://doi.org/10.1007/BF01235841

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  • DOI: https://doi.org/10.1007/BF01235841

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