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Effective stability around the Cassini state in the spin-orbit problem.(Report)

Sansottera, Marco ; Lhotka, Christoph ; Lemaitre, Anne

Celestial Mechanics and Dynamical Astronomy, May, 2014, Vol.119(1), p.75(15) [Tạp chí có phản biện]

ISSN: 0923-2958

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  • Nhan đề:
    Effective stability around the Cassini state in the spin-orbit problem.(Report)
  • Tác giả: Sansottera, Marco ; Lhotka, Christoph ; Lemaitre, Anne
  • Chủ đề: Orbits (Astrophysics)
  • Là 1 phần của: Celestial Mechanics and Dynamical Astronomy, May, 2014, Vol.119(1), p.75(15)
  • Mô tả: Byline: Marco Sansottera (1), Christoph Lhotka (1), Anne Lemaitre (1) Keywords: Spin-orbit resonance; Normal form methods; Cassini state; Titan; Long-time stability 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 i , the mean precession of the ascending node of Titan orbit, [dot over (term)] [OMEGA] E , and the polar moment of inertia, C C . Author Affiliation: (1) naXys, Department of Mathematics, University of Namur, Rempart de la Vierge, 8, 5000 , Namur, Belgium Article History: Registration Date: 31/03/2014 Received Date: 17/05/2013 Accepted Date: 31/03/2014 Online Date: 26/04/2014 Article note: Electronic supplementary material The online version of this article (doi: 10.1007/s10569-014-9547-6) contains supplementary material, which is available to authorized users.
  • Ngôn ngữ: English
  • Số nhận dạng: ISSN: 0923-2958

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