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math-ph2019
On the nodal distance between two Keplerian trajectories with a common focus
Giovanni Federico Gronchi, Laurent Niederman
We study the possible values of the nodal distance between two non-coplanar Keplerian trajectories with a common focus. In particular, given ${\…
math-ph2018
Sharp Nekhoroshev estimates for the three body problem around periodic orbits
Santiago Barbieri, Laurent Niederman
We construct a Nekhoroshev-like result of stability with sharp constants for the planar three body problem, both in the planetary and in the restricted circular case, by using the…