Reduction problems associated with the earth's axial rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Earth Rotation, Error Analysis, Nutation, Precession, Mathematical Models, Position Errors, Reduction

Scientific paper

Methods of correcting observational errors caused by the rotation of the earth's axis are considered, and a general theory of rotation of an absolutely solid earth is derived with no simplifying assumptions. Limitations in the classical division of corrections into precessional and nutation constants are discussed; it is thought that the use of contemporary techniques such as lasers and radiointerferometry will permit astronomers to develop a more correct understanding of the corrections required in their observations of celestial objects. The theoretical analysis permits the determination of the earth's precessional and nutation constants on a strict theoretical basis and explains their separate, group, or general contribution to constants for the moon, the sun, or the major planets. The agreement of the calculated constants with those currently in use is examined.

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