The Rotation of a Non-Rigid, Non-Symmetrical Earth II: Free Nutations and Dissipative Effects |
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| Authors: | Juan Getino Ana B. González Alberto Escapa |
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| Affiliation: | (1) Grupo de Mecánica Celeste, Departamento de Matemática Aplicada Fundamental, Facultad de Ciencias, Universidad de Valladolid, Prado de la Magdalena s/n, 47005 Valladolid, Spain;(2) Grupo de Mecánica Celeste, Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce s/n, 47011 Valladolid, Spain |
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| Abstract: | The study of the rotation of a non-rigid, non-symmetrical Earth with a heterogeneous and stratified liquid core was recently accomplished by González and Getino (1997) through the Hamiltonian formalism. In this work that model is extended by including the effect of the dissipation arising from the mantle–core interaction due to the viscous and electromagnetic coupling. A canonical transformation to a new set of non-singular variables is performed, in order to avoid small divisors in the system of equations. Numerical estimations of the effect of the dissipation are given in form of tables and graphics, and the significance of this effect is discussed. This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | non-rigid earth nutation free nutation dissipative effects |
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