Secular orbital dynamics of the innermost exoplanet of the -Andromedæ system
R Mastroianni, U Locatelli - Celestial Mechanics and Dynamical …, 2023 - Springer
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 υ-And b …
small-mass planet in a multi-planetary system. In particular, we refer to the motion of υ-And b …
3D orbital architecture of exoplanetary systems: KAM-stability analysis
We study the KAM-stability of several single star two-planet nonresonant extrasolar systems.
It is likely that the observed exoplanets are the most massive of the system considered …
It is likely that the observed exoplanets are the most massive of the system considered …
Hamiltonian secular theory and KAM stability in exoplanetary systems with 3D orbital architecture
R Mastroianni - 2023 - research.unipd.it
In the present thesis, we first revisit the secular 3D planetary three-body problem aiming to
provide a unified formalism for studying the structure of the phase space for progressively …
provide a unified formalism for studying the structure of the phase space for progressively …
[HTML][HTML] Computer-assisted proofs of existence of KAM tori in planetary dynamical models of υ-And b
R Mastroianni, U Locatelli - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
We reconsider the problem of the orbital dynamics of the innermost exoplanet of the υ-
Andromedæsystem (ie, υ-And b) into the framework of a Secular Quasi-Periodic Restricted …
Andromedæsystem (ie, υ-And b) into the framework of a Secular Quasi-Periodic Restricted …
A numerical criterion evaluating the robustness of planetary architectures; applications to the υ Andromedæ system
We revisit the problem of the existence of KAM tori in extrasolar planetary systems.
Specifically, we consider the υ Andromedæ system, by modelling it with a three-body …
Specifically, we consider the υ Andromedæ system, by modelling it with a three-body …
Computer-assisted proofs of existence of KAM tori in planetary dynamical models of -And
R Mastroianni, U Locatelli - arXiv preprint arXiv:2311.01938, 2023 - arxiv.org
We reconsider the problem of the orbital dynamics of the innermost exoplanet of the
$\upsilon $-Andromedae system (ie, $\upsilon $-And $\mathbf {b} $) into the framework of a …
$\upsilon $-Andromedae system (ie, $\upsilon $-And $\mathbf {b} $) into the framework of a …