3 papers
math.DS2026
Nekhoroshev Theorem for time quasiperiodic perturbations of P-Steep systems
Dario Bambusi, Santiago Barbieri, Mar Giralt +1
We prove a Nekhoroshev type result for a time quasiperiodic perturbation of an integrable Hamiltonian system. More precisely, we assume that the integrable part is analytic and ful…
math.DS2024
Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant
Inmaculada Baldomá, Maciej J. CapiÅski, Mar Giralt +1
The Restricted Planar Circular 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries, which pe…
astro-ph.EP2024
On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
Elisa Maria Alessi, Inmaculada Baldomá, Mar Giralt +2
Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the sec…