49 citations · 128 across the 5 of their papers we have counts for
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On the stability of periodic N-body motions with the symmetry of Platonic polyhedra
Marco Fenucci, Giovanni Federico Gronchi
In (Fusco et. al., 2011) several periodic orbits of the Newtonian N-body problem have been found as minimizers of the Lagrangian action in suitable sets of T-periodic loops, for a…
Orbit Determination with the two-body Integrals. III
Giovanni F. Gronchi, Giulio Bau', Stefano Maro'
We present the results of our investigation on the use of the two-body integrals to compute preliminary orbits by linking too short arcs of observations of celestial bodies. This w…
Orbit Determination with the two-body Integrals. II
Giovanni F. Gronchi, Davide Farnocchia, Linda Dimare
The first integrals of the Kepler problem are used to compute preliminary orbits starting from two short observed arcs of a celestial body, which may be obtained either by optical…
Orbit Determination with the two-body Integrals
Giovanni Federico Gronchi, Linda Dimare, Andrea Milani
We investigate a method to compute a finite set of preliminary orbits for solar system bodies using the first integrals of the Kepler problem. This method is thought for the applic…