25 citations · 93 across the 13 of their papers we have counts for
13 papers
Improved stability estimates at elliptic equilibria of Hamiltonian systems
Massimiliano Guzzo, Chiara Caracciolo, Gabriella Pinzari
This paper deals with an improvement of the "a-priori stability bounds" on the variation of the action variables and on the stability time obtained from a given Birkhoff normal for…
A Kustaanheimo-Stiefel regularization of the elliptic restricted three-body problem and the detection of close encounters with fast Lyapunov indicators
Mattia Rossi, Massimiliano Guzzo
We present the Kustaanheimo-Stiefel (KS) regularization of the elliptic restricted three-body problem (ER3BP) at the secondary body , and discuss its use to study a category o…
On the analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem
Rocio Isabel Paez, Massimiliano Guzzo
The halo orbits of the spatial circular restricted three-body problem are largely considered in space-flight dynamics to design low-energy transfers between celestial bodies. A ver…
Transits close to the Lagrangian solutions in the Elliptic Restricted Three-body Problem
Rocío Isabel Páez, Massimiliano Guzzo
In the last decades a peculiar family of solutions of the Circular Restricted Three Body Problem has been used to explain the temporary captures of small bodies and spacecrafts by…
A study of temporary captures and collisions in the Circular Restricted Three-Body Problem with normalizations of the Levi-Civita Hamiltonian
Rocio Isabel Paez, Massimiliano Guzzo
The dynamics near the Lagrange equilibria and of the Circular Restricted Three-body Problem has gained attention in the last decades due to its relevance in some topics…
Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems
Massimiliano Guzzo, Christos Efthymiopoulos, Rocio Isabel Paez
Cornerstone models of Physics, from the semi-classical mechanics in atomic and molecular physics to planetary systems, are represented by quasi-integrable Hamiltonian systems. Sinc…