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math.DS2004
Symmetry groups and non-planar collisionless action-minimizing solutions of the three-body problem in three-dimensional space
Davide L. Ferrario
Periodic and quasi-periodic solutions of the n-body problem can be found as minimizers of the Lagrangian action functional restricted to suitable spaces of symmetric paths. The mai…
math.DS2002★ 3 cited
Symmetric periodic orbits for the n-body problem: some preliminary results
Davide L. Ferrario
We show the existence of some infinite families of periodic solutions of the planar Newtonian n-body problem --with positive masses-- which are symmetric with respect to suitable a…
math.DS2002
Central configurations, symmetries and fixed points
Davide L. Ferrario
Planar central configurations can be seen as critical points of the reduced potential or solutions of a system of equations. By the homogeneity and invariance of the potential with…