2 papers
math-ph2022
Local minimality properties of circular motions in potentials and of the figure-eight solution of the 3-body problem
Marco Fenucci
We first take into account variational problems with periodic boundary conditions, and briefly recall some sufficient conditions for a periodic solution of the Euler-Lagrange equat…
math.DS2020
Bifurcations of balanced configurations for the Newtonian -body problem in
Luca Asselle, Marco Fenucci, Alessandro Portaluri
For the gravitational -body problem, the simplest motions are provided by those rigid motions in which each body moves along a Keplerian orbit and the shape of the system is a c…