26 citations · 88 across the 6 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…
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…
A Counterexample to a Generalized Saari's Conjecture with a Continuum of Central Configurations
Manuele Santoprete
In this paper we show that in the -body problem with harmonic potential one can find a continuum of central configurations for . Moreover we show a counterexample to an int…
Block regularization of the Kepler problem on surfaces of revolution with positive constant curvature
Manuele Santoprete
We consider the Kepler problem on surfaces of revolution that are homeomorphic to and have constant Gaussian curvature. We show that the system is maximally superintegrable,…