Mar Giralt Miron

About me:

Postdoc researcher at the IMCCE at Observatoire de Paris with a MathInGreaterParis postdoctoral fellowship.

Previously, postdoc researcher at Università degli Studi di Milano and PhD student at Universitat Politècnica de Catalunya.

Research interests: Hamiltonian systems, Celestial Mechanics, chaotic dynamics, splitting of separatrices phenomenon.

IMCCE - Bât. A, Bureau 510. Observatoire de Paris, Université PSL.
77, avenue Denfert Rochereau. 75014 Paris (France)

✉️: mar.giralt [at] obspm.fr

Space debris in Medium Earth Orbit :
- E.M Alessi, I. Baldomá, M. Giralt, M. Guardia and A. Pousse. On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites.
  Preprint arXiv:2405.14593, 2024. [Preprint].
- E.M Alessi, I. Baldomá, M. Giralt and M. Guardia. On the Arnold diffusion mechanism in Medium Earth Orbit.
  Journal of Nonlinear Science 35(8), 2025. [Journal] [Repository].
Study of the invariant manifolds of L3 in the RPC3BP :
- I. Baldomá, M. Giralt and M. Guardia. Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem.
  Preprint arXiv:2312.13819, 2023. [Preprint].
- I. Baldomá, M. J. Capiński, M. Giralt and M. Guardia. Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant.
  Discrete and Continuous Dynamical Systems, 45(1): 56-88, 2024. [Journal] [Repository].
- I. Baldomá, M. Giralt and M. Guardia. Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula.
  Advances in Mathematics, 430:109218, 2023. [Journal] [Repository].
- I. Baldomá, M. Giralt and M. Guardia. Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation.
  Advances in Mathematics, 408:108562, 2022. [Journal] [Repository].
- M. Giralt. Homoclinic and chaotic phenomena to L3 in the Restricted 3-Body Problem. PhD Thesis, 2022. [UPC repository] [TDX repository].

An Arnold diffusion mechanism for the Galileo satellites:
- Dynamics and physics in the solar system conference at Pisa (June 2024): [Slides]
- Seminar at the UB-UPC seminar in Dynamical Systems (November 2023): [Slides]
Coorbital homoclinic and chaotic dyamics in the Restricted 3-Body Problem:
- From topology to computations in dynamical systems (Kraków 2024): [Slides]
- Journées de dynamique 2023 de l'IMJ-PRG (October 2023): [Slides].
- PhD Thesis Defense (November, 2022): [Slides].
- GLADS2022. Global and Local Aspects in Dynamical Systems (July 2022): [Poster]
- BIRS-Oaxaca. Geometric and Variational Methods in Celestial Mechanics Workshop (June 2022): [Slides].
Breakdown of homoclinic orbits to L3:
- Seminar at IMATI in Milano (Sept 2021): [Slides].
- Seminar at the UB-UPC seminar in Dynamical Systems (March 2021): [Slides].

Last update: November 7th, 2024.

Art by Helena Aguilar-Giralt