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On the role and the properties ofnbody central configurations

✍ Scribed by Donald G. Saari


Book ID
105127606
Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
622 KB
Volume
21
Category
Article
ISSN
1572-9478

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Central configurations axe critical points of the potential function of the nbody problem restricted to the topological sphere where the moment of inertia is equal to constant. For a given set of positive masses ml,..., mn we denote by N(ml,..., ran, k) the number of central configurations" of the n

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## Abstract We study some topological and metrical properties of configuration spaces. In particular, we introduce a family of metrics on the configuration space Ξ“, which makes it a Polish space. Compact functions on Ξ“ are also considered. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)