Canonical approach to the free nutations of a three-layer Earth model

Details Canonical approach to the free nutations of a three-layer Earth model Canonical approach to the free nutations of a three-layer Earth model

Jun 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001jgr...10611387e&link_type=abstract

Journal of Geophysical Research, Volume 106, Issue B6, p. 11387-11397

Astronomy and Astrophysics

Astrophysics

7

Planetology: Solid Surface Planets: Orbital And Rotational Dynamics, Solar Physics, Astrophysics, And Astronomy: Celestial Mechanics

Scientific paper

The Hamiltonian formalism is applied to a three-layer Earth model composed of a rigid mantle, a fluid outer core and a rigid inner core, with no dissipation of frictional or electromagnetic origin. Analytical expressions for the free nutations are derived in a set of nonsingular canonical variables that allow a much simpler mathematical treatment. They are checked versus numerical solutions and compared with previous results by Mathews et al. [1991a] and Getino and Ferrándiz [1996, 1998a] with complete agreement up to the first order in the ellipticities.

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