6 papers
Testing Local Lorentz Invariance with Laser Tracking of the LAGEOS and LAGEOS II Satellites
David Lucchesi, Massimo Visco, Roberto Peron +11
Violations of Lorentz Invariance, a cornerstone of modern physics, are predicted by theories of quantum gravity and by extensions of General Relativity involving new vector or tens…
A Local Lorentz Invariance test with LAGEOS satellites
David Lucchesi, Massimo Visco, Roberto Peron +11
Strong theoretical arguments suggest that a breakdown of Lorentz Invariance could arise under some very particular conditions. From an experimental point of view, it is important t…
The dynamics around the collinear points of the elliptic three-body problem: A normal form approach
Alessandra Celletti, Christoph Lhotka, Giuseppe Pucacco
We study the dynamics of the collinear points in the planar, restricted three-body problem, assuming that the primaries move on an elliptic orbit around a common barycenter. The eq…
Bifurcation sequences in the secular 3D planetary 3-Body problem: a geometric approach
Rita Mastroianni, Antonella Marchesiello, Christos Efthymiopoulos +1
We implement the geometric method proposed in ([9], [3], [16]) to analytically predict the sequence of bifurcations leading to a change of stability and/or the appearance of new pe…
Dynamical Stability of the Laplace Resonance
Giuseppe Pucacco
We analyse the stability of the de Sitter equilibria in multi-resonant planetary systems. The de Sitter equilibrium is the dynamical state of the Laplace resonance in which all res…
Normal forms for the Laplace resonance
Giuseppe Pucacco
We describe a comprehensive model for systems locked in the Laplace resonance. The framework is based on the simplest possible dynamical structure provided by the Keplerian problem…