57 citations · 302 across the 21 of their papers we have counts for
5 papers · 1 filter
Secular orbital dynamics of the innermost exoplanet of the -Andromedæ system
Rita Mastroianni, Ugo Locatelli
We introduce a quasi-periodic restricted Hamiltonian to describe the secular motion of a small-mass planet in a multi-planetary system. In particular, we refer to the motion of $\u…
A numerical criterion evaluating the robustness of planetary architectures; applications to the Andromedæ system
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the Andromedæ system, by modelling it with a three-body pr…
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…
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…