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

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

2012-02-21

arxiv.org/abs/1202.4739v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

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.

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