Correspondence between theory and observations of polar motion

Physics

Scientific paper

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Earth Gravitation, Earth Rotation, Polar Wandering (Geology), Earth Axis, Earth Orientation, Earth-Moon System, Inertia

Scientific paper

The focus of this study is to write in terms of reported values the standard theoretical equation describing the earth's wobble, namely, the linearized conservation of angular momentum equation known as the Liouville equation. A relation between the locations of the rotation pole and the celestial ephemeris pole is first obtained to rewrite this equation in terms of the location of the reported pole. This is achieved in the time domain by considering the properties of the time-dependent transformation matrix that relates components of a position vector in the rotating, body-fixed frame to its components in the celestial, space-fixed frame.

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