613 citations
- University of British ColumbiaCA63 papers
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Showing 2014 · math.DSShow all
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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…