A Hamiltonian theory for an elastic earth: Secular rotational acceleration |
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| Authors: | Juan Getino José M Ferrándiz |
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| Institution: | (1) Instituto de Astronomía y Geodesia, Facultad de Ciencias Matemáticas, Universidad Complutense, Ciudad Universitaria, 28040 Madrid, Spain;(2) Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, 47011 Valladolid, Spain;(3) Present address: Departamento de Matemática Aplicada Fundamental, Facultad de Ciencias, 47005 Valladolid, Spain |
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| Abstract: | In this article, our previous Hamiltonian theory for the rotation of an Earth whose elastic mantle is deformed by rotation and linisolar attraction is applied to the study of the secular acceleration of the Earth's rotation. Since it is a result of the inelasticity, the theory is extended to include a phase lag. So, we obtain, in a theoretical way, a value of –5.6 × 10–22 rd sec–2, which agrees perfectly with the latest observational results. |
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| Keywords: | Earth tides Earth rotation secular acceleration |
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