43 citations · 331 across the 19 of their papers we have counts for
Showing 2012 · math.DSShow all
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math.DS2012★ 5 cited
Rotopulsators of the curved N-body problem
Florin Diacu, Shima Kordlou
We consider the N-body problem in spaces of constant curvature and study its rotopulsators, i.e.\ solutions for which the configuration of the bodies rotates and changes size durin…
math.DS2012★ 34 cited
On the stability of tetrahedral relative equilibria in the positively curved 4-body problem
Florin Diacu, Regina Martinez, Ernesto Perez-Chavela +1
We consider the motion of point masses given by a natural extension of Newtonian gravitation to spaces of constant positive curvature. Our goal is to explore the spectral stability…
math.DS2012
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 prove…