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3 papers
Two Layer Model via Non Quasi Periodic Normal Form Theory
Gabriella Pinzari, Benedetto Scoppola, Matteo Veglianti
The two layer model is a 2+1/2 degrees of freedom non autonomous dynamical system whose lower order expansion exhibits capture in resonance, numerically detected in a previous pape…
Spin orbit resonance cascade via core shell model. Application to Mercury and Ganymede
Pinzari Gabriella, Scoppola Benedetto, Veglianti Matteo
We discuss a model describing the spin orbit resonance cascade. We assume that the primary has a two-layer (core-shell) structure: it is composed by a thin solid crust and an inner…
Dumbbell dynamics: a didactical approach
Benedetto Scoppola, Matteo Veglianti
In this paper we propose a simplified model to describe the dissipative effects of tides. We assume a spherical Earth with a dissipative coupling with a mechanical dumbbell. The la…