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

DOI10.1007/BF00049420zbMath0737.73073OpenAlexW1991823544MaRDI QIDQ1814153

Juan Getino, José Manuel Ferrándiz

Publication date: 25 June 1992

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049420

zbMATH Keywords

perturbationrotational motionnutationcanonical expression of rotational kinetic energydeformation of the elastic mantleelastic variables of Euler and Andoyertidal body forcetwo canonical systems of variables

Mathematics Subject Classification ID

Hamilton's equations (70H05) Geophysical solid mechanics (74L05) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (8)

A rigorous Hamiltonian approach to the rotation of elastic bodies ⋮ The theory of canonical perturbations applied to attitude dynamics and to the Earth rotation. Osculating and nonosculating Andoyer variables ⋮ Corrections stemming from the non-osculating character of the Andoyer variables used in the description of rotation of the elastic Earth ⋮ On the effect of the mantle elasticity on the Earth's rotation ⋮ FREE ROTATIONAL DYNAMICS OF AN HOMOGENEOUS ELLIPSOID WITH A STOCHASTIC FLATTENING ⋮ The Serret-Andoyer formalism in rigid-body dynamics. I. Symmetries and perturbations ⋮ Kinetic energy of a non-spherical elastic Earth mantle with Andoyer variables ⋮ Perturbed nutations, Love numbers and elastic energy of deformation for Earth models 1066A and 1066B

Cites Work

• Multiple expansion of the tidal potential
• Constitution of the Earth
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
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