|
|
|
||
Last update: prof. RNDr. František Gallovič, Ph.D. (21.09.2023)
|
|
||
Last update: prof. RNDr. František Gallovič, Ph.D. (21.09.2023)
The lecture helps students understand general principles of rigid body rotation and their application to planetary bodies that not only rotate, but are also subject to tides and internal deformation. |
|
||
Last update: prof. RNDr. František Gallovič, Ph.D. (10.06.2019)
Oral exam |
|
||
Last update: prof. RNDr. František Gallovič, Ph.D. (21.09.2023)
|
|
||
Last update: T_KG (11.04.2008)
Lecture |
|
||
Last update: prof. RNDr. František Gallovič, Ph.D. (21.09.2023)
Rotation about z-axis, transformation of the Cartesian coordinates under rotation, rotation matrix, description of rotation in terms of the Euler angles and/or in terms of rotation axis and rotation angle, relations between different representations, transformation of Cartesian vectors and tensors under rotation, addition of rotations. Rotation of a rigid Earth - basic aspects Kinematics of rotation, angular velocity, angular momentum, inertia tensor, principal axes of inertia, kinetic energy, equations of motion for rotation, Euler equations, free rotation of a rigid Earth, Euler period, free polar motion for a rigid Earth, Chandler period, eigenvalues: axial spin mode and Chandler wobble, nutation, precession. Coordinate systems on a deforming Earth Wilson cycle, Plate motion reconstruction from marine data, Apparent polar wander paths of continents, Euler pole, Paleopoles, Hot-spot reference frame, Tisserand axes Conservation laws in a rotating frame Extension of continuum mechanics fundamental balance laws into non-inertial frames of reference, Fictitious forces: Euler, Centrifugal, Coriolis force Motion of the Earth's rotation pole Liouville equation, planetary reorientation, polar motion on tidally locked bodies, core-mantle coupling |