R. Mastroianni

activity

20222026

most citedThe phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination

7 citations · 13 across the 7 of their papers we have counts for

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2024

Bifurcation sequences in the secular 3D planetary 3-Body problem: a geometric approach

Rita Mastroianni, Antonella Marchesiello, Christos Efthymiopoulos +1

We implement the geometric method proposed in ([9], [3], [16]) to analytically predict the sequence of bifurcations leading to a change of stability and/or the appearance of new pe…

math-ph2023

Computer-assisted proofs of existence of KAM tori in planetary dynamical models of $υ$ -And $b$

Rita Mastroianni, Ugo Locatelli

We reconsider the problem of the orbital dynamics of the innermost exoplanet of the $υ$ -Andromedae system (i.e., $υ$ -And $b$ ) into the framework of a Secular…

math-ph2022★ 1 cited

Kolmogorov algorithm for isochronous Hamiltonian systems

Rita Mastroianni, Christos Efthymiopoulos

We present a Kolmogorov-like algorithm for the computation of a normal form in the neighborhood of an invariant torus in `isochronous' Hamiltonian systems, i.e., systems with Hamil…

Bifurcation sequences in the secular 3D planetary 3-Body problem: a geometric approach

Computer-assisted proofs of existence of KAM tori in planetary dynamical models of υ-And b

Kolmogorov algorithm for isochronous Hamiltonian systems

Computer-assisted proofs of existence of KAM tori in planetary dynamical models of $υ$ -And $b$