Open AccessCanonical approach to the free nutations of a three‐layer Earth model
Author(s) -
Escapa Alberto,
Getino Juan,
Ferrándiz José M.
Publication year - 2001
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2000jb900443
Subject(s) - inner core , outer core , earth model , dissipation , hamiltonian (control theory) , formalism (music) , physics , classical mechanics , mantle (geology) , invertible matrix , geophysics , mechanics , geometry , mathematical analysis , mathematics , thermodynamics , quantum mechanics , art , mathematical optimization , musical , visual arts
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.