50 citations · 219 across the 11 of their papers we have counts for
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Smoothed dynamics in the central field problem
Manuele Santoprete, Cristina Stoica
Consider the motion of a material point of unit mass in a central field determined by a homogeneous potential of the form , where being the distance to the cen…
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…
Linear stability of the Lagrangian triangle solutions for quasihomogeneous potentials
Manuele Santoprete
In this paper we study the linear stability of the relative equilibria for homogeneous and quasihomogeneous potentials. Firstly, in the case the potential is a homogeneous function…
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…