Data di Pubblicazione:
2014
Citazione:
Effective stability around the Cassini state in the spin-orbit problem / M. Sansottera, C. Lhotka, A. Lemaître. - In: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. - ISSN 0923-2958. - 119:1(2014 Apr 26), pp. 75-89. [10.1007/s10569-014-9547-6]
Abstract:
We investigate the long-time stability in the neighborhood of the Cassini state in the conservative spin-orbit problem. Starting with an expansion of the Hamiltonian in the canonical Andoyer-Delaunay variables, we construct a high-order Birkhoff normal form and give an estimate of the effective stability time in the Nekhoroshev sense. By extensively using algebraic manipulations on a computer, we explicitly apply our method to the rotation of Titan. We obtain physical bounds of Titan's latitudinal and longitudinal librations, finding a stability time greatly exceeding the estimated age of the Universe. In addition, we study the dependence of the effective stability time on three relevant physical parameters: the orbital inclination, i, the mean precession of the ascending node of Titan orbit, Ω, and the polar moment of inertia, C.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Cassini state; Long-time stability; Normal form methods; Spin-orbit resonance; Titan
Elenco autori:
M. Sansottera, C. Lhotka, A. Lemaître
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