In a dissipative system the time to reach an attractor is often influenced by the peculiarities of the model and in particular by the strength of the dissipation. As a dissipative model we consider the spin–orbit problem providing the dynamics of a triaxial satellite orbiting around a central planet and affected by tidal torques. The model is ruled by the oblateness parameter of the satellite, the orbital eccentricity, the dissipative parameter and the drift term. We devise a method which provides a reliable indication on the transient time which is needed to reach an attractor in the spin–orbit model; the method is based on an analytical result, precisely a suitable normal form construction. This method provides also information about the frequency of motion. A variant of such normal form used to parameterize invariant attractors provides a specific formula for the drift parameter, which in turn yields a constraint – which might be of interest in astronomical problems – between the oblateness of the satellite and its orbital eccentricity.

Celletti, A., Lhotka, C. (2014). Transient times, resonances and drifts of attractors in dissipative rotational dynamics. COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION, 19(9), 3399-3411 [10.1016/j.cnsns.2014.01.013].

Transient times, resonances and drifts of attractors in dissipative rotational dynamics

CELLETTI, ALESSANDRA;Lhotka, C.
2014-01-01

Abstract

In a dissipative system the time to reach an attractor is often influenced by the peculiarities of the model and in particular by the strength of the dissipation. As a dissipative model we consider the spin–orbit problem providing the dynamics of a triaxial satellite orbiting around a central planet and affected by tidal torques. The model is ruled by the oblateness parameter of the satellite, the orbital eccentricity, the dissipative parameter and the drift term. We devise a method which provides a reliable indication on the transient time which is needed to reach an attractor in the spin–orbit model; the method is based on an analytical result, precisely a suitable normal form construction. This method provides also information about the frequency of motion. A variant of such normal form used to parameterize invariant attractors provides a specific formula for the drift parameter, which in turn yields a constraint – which might be of interest in astronomical problems – between the oblateness of the satellite and its orbital eccentricity.
2014
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Celletti, A., Lhotka, C. (2014). Transient times, resonances and drifts of attractors in dissipative rotational dynamics. COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION, 19(9), 3399-3411 [10.1016/j.cnsns.2014.01.013].
Celletti, A; Lhotka, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90164
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