Wednesday, February 22, 2012

1202.4739 (Florin Diacu)

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

Florin Diacu
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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