P. Negrini

most citedVariational approach to second species periodic solutions of Poincaré of the 3 body problem

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math.DS2011★ 1 cited

Variational approach to second species periodic solutions of Poincaré of the 3 body problem

Sergey Bolotin, Piero Negrini

We consider the plane 3 body problem with 2 of the masses small. Periodic solutions with near collisions of small bodies were named by Poincaré second species periodic solutions. S…

math.DS2009

Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical $N$ -Body Problem

G. Fusco, G. F. Gronchi, P. Negrini

We prove the existence of a number of smooth periodic motions $u_{*}$ of the classical Newtonian $N$ -body problem which, up to a relabeling of the $N$ particles, are invariant under…

Variational approach to second species periodic solutions of Poincaré of the 3 body problem

Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical N-Body Problem

Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical $N$ -Body Problem