Expansion of annual aberration into trigonometric series

Astronomy and Astrophysics – Astronomy

Scientific paper

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Aberration, Astrometry, Earth Motion, Series Expansion, Trigonometric Functions, Astronomical Coordinates, Cartesian Coordinates, Center Of Gravity, Earth-Moon System, Solar Orbits, Solar System, Solar Velocity

Scientific paper

The earth's instantaneous velocity vector with respect to the center of mass of the solar system, needed for the precise reduction of annual aberration, is expanded into a trigonometric series using Bretagnon's (1982) planetary theory VSOP 82 for the heliocentric motion of the planets and Chapront-Touze's and Chapront's (1983) theory ELP 2000/82. The vector components are given in a rectangular coordinates system based on the fixed equator and equinox of FK 5 for the epoch 2000.0. The heliocentric motion of the earth-moon barycenter, the motion of the sun around the barycenter of the solar system, and the motion of the earth around the barycenter of the earth-moon system are discussed. The accuracy achieved by the development, estimated by comparison with DE 200, is better than 10 to the -7th AU/day, sufficient even for the most precise astrometrical reductions.

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