A Hamiltonian theory for an elastic earth - Canonical variables and kinetic energy

Details A Hamiltonian theory for an elastic earth - Canonical variables and kinetic energy A Hamiltonian theory for an elastic earth - Canonical variables and kinetic energy

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..49..303g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 49, no. 3, 1990, p. 303-326.

Astronomy and Astrophysics

Astronomy

24

Canonical Forms, Earth Rotation, Earth Tides, Elastic Deformation, Hamiltonian Functions, Kinetic Energy, Angular Momentum, Earth Core, Earth Motion, Euler-Lagrange Equation

Scientific paper

This paper describes the first part of a project dedicated to elaborating a Hamiltonian theory for the rotational motion of a deformable earth. Here only the perturbation due to the deformation of the elastic mantle by tidal body force is studied. Two canonical systems of variables are developed, known as elastic variables of Euler and Andoyer, respectively. Next, they are used to obtain the canonical expression of rotational kinetic energy, which is valid for any earth model satisfying hypotheses as general as those established here.

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