Rotation of a rigid satellite with a fluid component: a new light onto Titan’s obliquity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-12

AUTHORS

Gwenaël Boué, Nicolas Rambaux, Andy Richard

ABSTRACT

We revisit the rotation dynamics of a rigid satellite with either a liquid core or a global subsurface ocean. In both problems, the flow of the fluid component is assumed inviscid. The study of a hollow satellite with a liquid core is based on the Poincaré–Hough model which provides exact equations of motion. We introduce an approximation when the ellipticity of the cavity is low. This simplification allows to model both types of satellite in the same manner. The analysis of their rotation is done in a non-canonical Hamiltonian formalism closely related to Poincaré’s “forme nouvelle des équations de la mécanique”. In the case of a satellite with a global ocean, we obtain a seven-degree-of-freedom system. Six of them account for the motion of the two rigid components, and the last one is associated with the fluid layer. We apply our model to Titan for which the origin of the obliquity is still a debated question. We show that the observed value is compatible with Titan slightly departing from the hydrostatic equilibrium and being in a Cassini equilibrium state. More... »

PAGES

449-485

References to SciGraph publications

  • 1995-03. Reduction, relative equilibria and potential in the two rigid bodies problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2013. Tides on Satellites of Giant Planets in TIDES IN ASTRONOMY AND ASTROPHYSICS
  • 2008-05. The rotation of Io with a liquid core in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2012-04. Behavior of nearby synchronous rotations of a Poincaré–Hough satellite at low eccentricity in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2016-12. Reorientation of Sputnik Planitia implies a subsurface ocean on Pluto in NATURE
  • 2007-03. Hamiltonian mechanics and relative equilibria of orbiting gyrostats in THE JOURNAL OF THE ASTRONAUTICAL SCIENCES
  • 2012-10. Hamiltonian structures of dynamics of a gyrostat in a gravitational field in NONLINEAR DYNAMICS
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    http://scigraph.springernature.com/pub.10.1007/s10569-017-9790-8

    DOI

    http://dx.doi.org/10.1007/s10569-017-9790-8

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