48 citations · 140 across the 14 of their papers we have counts for
14 papers
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…
Arnold diffusion and Nekhoroshev theory
Christos Efthymiopoulos, Rocio Isabel Paez
Starting with Arnold's pioneering work, the term "Arnold diffusion" has been used to describe the slow diffusion taking place in the space of the actions in Hamiltonian nonlinear d…
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…
Manifold spirals, disc-halo interactions and the secular evolution in N-body models of barred galaxies
C. Efthymiopoulos, P. E. Kyziropoulos, R. I. Paez +2
The manifold theory of barred-spiral structure provides a dynamical mechanism explaining how spiral arms beyond the ends of galactic bars can be supported by chaotic flows extendin…
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…
Secondary resonances and the boundary of effective stability of Trojan motions
Rocio I. Paez, Christos Efthymiopoulos
One of the most interesting features in the libration domain of co-orbital motions is the existence of secondary resonances. For some combinations of physical parameters, these res…
New normal form approaches adapted to the Trojan problem
Rocio Isabel Paez
The main subject of this work is the study of the problem of the Trojan orbits from a perturbative Hamiltonian perspective. We face this problem by introducing first a novel Hamilt…
New Hamiltonian expansions adapted to the Trojan problem
Rocio Isabel Paez, Ugo Locatelli, Christos Efthymiopoulos
A number of studies, referring to the observed Trojan asteroids of various planets in our Solar System, or to hypothetical Trojan bodies in extrasolar planetary systems, have empha…
Design of maneuvers based on new normal form approximations: The case study of the CPRTBP
Rocio Isabel Paez, Ugo Locatelli
In this work, we study the motions in the region around the equilateral Lagrangian equilibrium points L4 and L5, in the framework of the Circular Planar Restricted Three-Body Probl…
Modeling Trojan dynamics: diffusion mechanisms through resonances
Rocio Isabel Paez, Christos Efthymiopoulos
In the framework of the ERTBP, we study an example of the influence of secondary resonances over the long term stability of Trojan motions. By the integration of ensembles of orbit…
Trojan dynamics well approximated by a new Hamiltonian normal form
Rocio Isabel Paez, Ugo Locatelli
We revisit a classical perturbative approach to the Hamiltonian related to the motions of Trojan bodies, in the framework of the Planar Circular Restricted Three-Body Problem (PCRT…
Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems
Rocio Isabel Páez, Christos Efthymiopoulos
We investigate the dynamics of small trojan exoplanets in domains of secondary resonances within the tadpole domain of motion. We consider the limit of a massless trojan companion…
Modeling resonant trojan motion in planetary systems
C. Efthymiopoulos, R. I. Paez
We consider the dynamics of a small trojan companion of a hypothetical giant exoplanet under the secular perturbations of additional planets. By a suitable choice of action-angle v…