3 papers
math.DS2024
On a countable sequence of homoclinic orbits arising near a saddle-center point
Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky
Exponential small splitting of separatrices in the singular perturbation theory leads generally to nonvanishing oscillations near a saddle--center point and to nonexistence of a tr…
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…