2 papers
math.DS2026
Effective stability estimates close to resonances with applications to rotational dynamics
Alessandra Celletti, Anargyros Dogkas, Alessia Francesca Guido
We consider nearly-integrable Hamiltonian systems defined over a non-resonant domain. In the neighborhood of resonances, we use Nekhoroshev-like estimates to provide effective stab…
math.DS2025
The dynamics of the spin-spin problem in Celestial Mechanics
Adrián P. Bustamante, Alessandra Celletti, Christoph Lhotka
This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this stu…