50 citations · 572 across the 42 of their papers we have counts for
7 papers · 1 filter
The Hessian of Planar Central Configurations in Pair Space: Decomposition, Morse Index and Symmetry Reduction
Manuele Santoprete
We give a variational derivation of the central configuration equations in pair space, where the relative position vectors between pairs of bodies serve as the primary variables. V…
A bare-bones mathematical model of radicalization
Connell McCluskey, Manuele Santoprete
Radicalization is the process by which people come to adopt increasingly extreme political or religious ideologies. While radical thinking is by no means problematic in itself, it…
Motion in a symmetric potential on the hyperbolic plane
Manuele Santoprete, Jürgen Scheurle, Sebastian Walcher
We study the motion of a particle in the hyperbolic plane (embedded in Minkowski space), under the action of a potential that depends only on one variable. This problem is the anal…
Gravitational and harmonic oscillator potentials on surfaces of revolution
Manuele Santoprete
In this paper, we consider the motion of a particle on a surface of revolution under the influence of a central force field. We prove that there are at most two analytic central po…
On the Topology of the double spherical pendulum
Shengda Hu, Eduardo Leandro, Manuele Santoprete
This paper studies the topology of the constant energy surfaces of the double spherical pendulum.
Regularization of the Kepler problem on the Sphere
Shengda Hu, Manuele Santoprete
In this paper we regularize the Kepler problem on in several different ways. First, we perform a Moser-type regularization. Then, we adapt the Ligon-Schaaf regularization to…