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arXiv:1202.4739 [math.DS]AbstractReferencesReviewsResources

The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem

Florin Diacu

Published 2012-02-21Version 1

We provide a class of orbits in the curved N-body problem for which no point that could play the role of the centre of mass is fixed or moves uniformly along a geodesic. This proves that the equations of motion lack centre-of-mass and linear-momentum integrals.

Comments: 12 pages
Journal: Libertas Math (new series) 32, 1 (2012), 25-37
Categories: math.DS, math-ph, math.MP
Subjects: 70F15
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