Rotational motions of the earth as a body with a triaxial ellipsoid of inertia

Details Rotational motions of the earth as a body with a triaxial ellipsoid of inertia Rotational motions of the earth as a body with a triaxial ellipsoid of inertia

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976prim...12...33e&link_type=abstract

Prikladnaia Mekhanika, vol. 12, Nov. 1976, p. 33-39. In Russian.

Mathematics

Earth Rotation, Ellipsoids, Gravitational Fields, Polar Wandering (Geology), Equations Of Motion, Orthogonality, Polynomials, Series (Mathematics), Vector Analysis

Scientific paper

Satellite data on the external potential and astronomic observations of the position of the north pole indicate that the earth should be treated as a dynamically unbalanced body with a triaxial ellipsoid of inertia. In the present paper, the equations of motion of such an earth are derived; the characteristics of the pole displacements are determined by expanding the earth's potential in a series of orthogonal polynomials. Some features of the free rotation of an unsymmetric earth are identified.

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