18 citations · 45 across the 8 of their papers we have counts for
9 papers
Bernstein-Remez inequality for Nash functions: A complex analytic approach
Santiago Barbieri, Laurent Niederman
Consider an open, bounded set , a positive integer and a compact of cardinality strictly greater than . We prove that, for any fu…
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 ${\…
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…
On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits
Laurent Niederman, Alexandre Pousse, Philippe Robutel
Janus and Epimetheus are two moons of Saturn with very peculiar motions. As they orbit around Saturn on quasi-coplanar and quasi-circular trajectories whose radii are only 50 km ap…
Double exponential stability of quasi-periodic motion in Hamiltonian systems
Abed Bounemoura, Bassam Fayad, Laurent Niederman
We prove that generically, both in a topological and measure-theoretical sense, an invariant Lagrangian Diophantine torus of a Hamiltonian system is doubly exponentially stable in…
Double exponential stability for generic real-analytic elliptic equilibrium points
Abed Bounemoura, Bassam Fayad, Laurent Niederman
We consider the dynamics in a neighborhood of an elliptic equilibrium point with a Diophantine frequency of a symplectic real analytic vector field and we prove the following resul…