activity
20152024
most citedSecular instability in the spatial three-body problem

12 citations · 15 across the 6 of their papers we have counts for

collaborators

6 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…

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…

math.DS2024

On the Arnold diffusion mechanism in Medium Earth Orbit

Elisa Maria Alessi, Inmaculada Baldomá, Mar Giralt +1

Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. A…

math.DS2023★ 3 cited

Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem

Inmaculada Baldomá, Mar Giralt, Marcel Guardia

The description of unstable motions in the Restricted Planar Circular 3-Body Problem, modeling the dynamics of a Sun-Planet-Asteriod system, is one of the fundamental problems in C…

math.DS2023

Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant

Inmaculada Baldomá, Maciej J. Capiński, 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…

math.DS2015★ 12 cited

Secular instability in the spatial three-body problem

Jacques Féjoz, Marcel Guardia

Consider the spatial three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this…