50 citations · 140 across the 5 of their papers we have counts for
5 papers
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 -body problem with constant configur…
Central Configurations and Total Collisions for Quasihomogeneous n-Body Problems
Florin Diacu, Ernesto Perez-Chavela, Manuele Santoprete
We consider -body problems given by potentials of the form with constants, . To analyze the dynamics of the problem, we first pro…
Saari's Conjecture for the Collinear -Body Problem
Florin Diacu, Ernesto Perez-Chavela, Manuele Santoprete
In 1970 Don Saari conjectured that the only solutions of the Newtonian -body problem that have constant moment of inertia are the relative equilibria. We prove this conjecture i…
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 , . For , the sets o…
Convex Four Body Central Configurations with Some Equal Masses
Ernest Perez-Chavela, Manuele Santoprete
We prove that there is a unique convex non-collinear central configuration of the planar Newtonian four-body problem when two equal masses are located at opposite vertices of a qua…