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pro vyhledávání: '"Locatelli, Ugo"'
Autor:
LOCATELLI, UGO
Publikováno v:
S&F_scienzaefilosofia.it, Iss 23, Pp 387-414 (2020)
Areal. Geosophy of Looking The reality is much more uncertain than it appears. The ways in which human beings perceive the reality, on the basis of their own culture and experience, are countless. Whether as adjective or as substantive, the term “
Externí odkaz:
https://doaj.org/article/4ea059689c2f40ac9583b5e9b4a74047
Autor:
Mastroianni, Rita, Locatelli, Ugo
We reconsider the problem of the orbital dynamics of the innermost exoplanet of the $\upsilon$-Andromedae system (i.e., $\upsilon$-And $\mathbf{b}$) into the framework of a Secular Quasi-Periodic Restricted Hamiltonian model. This means that we preas
Externí odkaz:
http://arxiv.org/abs/2311.01938
Autor:
Mastroianni, Rita, Locatelli, Ugo
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 $\upsilon$-And $b$ which is the innermost planet among those discovered i
Externí odkaz:
http://arxiv.org/abs/2304.09038
We investigate the long-term dynamics of HD60532, an extrasolar system hosting two giant planets orbiting in a 3:1 mean motion resonance. We consider an average approximation at order one in the masses which results (after the reduction of the consta
Externí odkaz:
http://arxiv.org/abs/2303.06702
Publikováno v:
Multi-scale (time and mass) dynamics of space objects, Proceedings IAU Symposium No. 364, 2022, A. Celletti, C. Beaug\'e, C. Gales and A. Lemaitre, eds
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the $\upsilon$ Andromed{\ae} system, by modelling it with a three-body problem. This preliminary study allows us to introduce a natural way
Externí odkaz:
http://arxiv.org/abs/2202.08616
We consider the classical problem of the construction of invariant tori exploiting suitable Hamiltonian normal forms. This kind of approach can be translated by means of the Lie series method into explicit computational algorithms, which are particul
Externí odkaz:
http://arxiv.org/abs/2202.06572
Publikováno v:
Monthly Notices of the Royal Astronomical Society, 2021
We study the planetary system of $\upsilon$~Andromed{\ae}, considering the three-body problem formed by the central star and the two largest planets, $\upsilon$~And~\emph{c} and $\upsilon$~And~\emph{d}. We adopt a secular, three-dimensional model and
Externí odkaz:
http://arxiv.org/abs/2108.11834
Autor:
Mastroianni, Rita, Locatelli, Ugo
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation March 2024 130
Autor:
Caracciolo, Chiara, Locatelli, Ugo
Publikováno v:
Journal of Computational Dynamics, 7 (2) : 425-460 (2020)
Birkhoff normal forms are commonly used in order to ensure the so called "effective stability" in the neighborhood of elliptic equilibrium points for Hamiltonian systems. From a theoretical point of view, this means that the eventual diffusion can be
Externí odkaz:
http://arxiv.org/abs/2102.05959
Autor:
Caracciolo, Chiara, Locatelli, Ugo
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation, Volume 97, June 2021
We revisit an algorithm constructing elliptic tori, that was originally designed for applications to planetary hamiltonian systems. The scheme is adapted to properly work with models of chains of $N+1$ particles interacting via anharmonic potentials,
Externí odkaz:
http://arxiv.org/abs/2102.05908