33 citations · 48 across the 12 of their papers we have counts for
3 papers · 1 filter
On the singularities of generalized solutions to --body type problems
Vivina Barutello, Davide L. Ferrario, Susanna Terracini
The validity of Sundman-type asymptotic estimates for collision solutions is established for a wide class of dynamical systems with singular forces, including the classical --bo…
Symmetry groups of the planar 3-body problem and action--minimizing trajectories
Vivina Barutello, Davide L. Ferrario, Susanna Terracini
We consider periodic and quasi-periodic solutions of the three-body problem with homogeneous potential from the point of view of the equivariant calculus of variations. First, we s…
Action minimizing orbits in the n-body problem with simple choreography constraint
Vivina Barutello, Susanna Terracini
In 1999 Chenciner and Montgomery found a remarkably simple choreographic motion for the planar 3-body problem (see \cite{CM}). In this solution 3 equal masses travel on a eight sha…