Syllabus
* Lagrangian approach to Earth's rotation. Woolard's theory
Euler angles as the generalized coordinates, Euler's kinematical equations, Poisson's equations, their alternative form, solution of Poisson's equations, precession, nutation, nutational frequencies, dynamical flattening.
* Rotation of a non-rigid Earth. Basic aspects
Rigid reference frame, deformational angular momentum, Tisserand axes, nutation frame, Liouville equations, linearization, excitation functions, angular momentum functions.
* Literature:
- W.H. Munk, G.F. MacDonald, The Rotation of the Earth, Cambridge University Press, New York 1960.
- H. Moritz, I. Mueller, Earth Rotation, Ungarn Publ. Comp., New York 1987.
Annotation
Rotation of a deformable Earth, Chandler period. Time variation of the Earth's rotation.