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20002018
most citedAn intrinsic approach in the curved n-body problem: the negative curvature case

43 citations · 331 across the 19 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.DS2014★ 16 cited

All the Lagrangian relative equilibria of the curved 3-body problem have equal masses

Florin Diacu, Sergiu Popa

We consider the 3-body problem in 3-dimensional spaces of nonzero constant Gaussian curvature and study the relationship between the masses of the Lagrangian relative equilibria, w…

math.DS2014★ 24 cited

The classical N-body problem in the context of curved space

Florin Diacu

We provide the differential equations that generalize the Newtonian N-body problem of celestial mechanics to spaces of constant Gaussian curvature, k, for all k real. In previous s…