Florin Diacu

most citedThe Kepler Problem with Anisotropic Perturbations

26 citations · 67 across the 3 of their papers we have counts for

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math-ph2009★ 16 cited

Saari's Homographic Conjecture of the Three-Body Problem

Florin Diacu, Toshiaki Fujiwara, Ernesto Perez-Chavela +1

Saari's homographic conjecture, which extends a classical statement proposed by Donald Saari in 1970, claims that solutions of the Newtonian $n$ -body problem with constant configur…

math-ph2009★ 25 cited

Central Configurations and Total Collisions for Quasihomogeneous n-Body Problems

Florin Diacu, Ernesto Perez-Chavela, Manuele Santoprete

We consider $n$ -body problems given by potentials of the form $\frac{α}{r ^{a}} + \frac{β}{r ^{b}}$ with $a, b, α, β$ constants, $0 \leq a < b$ . To analyze the dynamics of the problem, we first pro…

math-ph2009★ 26 cited

The Kepler Problem with Anisotropic Perturbations

Florin Diacu, Ernesto Perez-Chavela, Manuele Santoprete

We study a 2-body problem given by the sum of the Newtonian potential and an anisotropic perturbation that is a homogeneous function of degree $- β$ , $β \geq 2$ . For $β > 2$ , the sets o…