The rigorous treatment of stellar aberration and Doppler shift, and the barycentric motion of the earth

Details The rigorous treatment of stellar aberration and Doppler shift, and the barycentric motion of the earth The rigorous treatment of stellar aberration and Doppler shift, and the barycentric motion of the earth

Sep 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26a....78..229s&link_type=abstract

Astronomy and Astrophysics, vol. 78, no. 2, Sept. 1979, p. 229-238.

Astronomy and Astrophysics

Astronomy

24

Aberration, Doppler Effect, Earth Motion, Ephemerides, Radio Astronomy, Solar Orbits, Stellar Radiation, Subroutines, Bessel Functions, Center Of Gravity, Computer Programs, Radial Velocity, Relativistic Effects, Very Long Base Interferometry

Scientific paper

A rigorous computer-oriented theory of stellar aberration is developed which includes special-relativistic effects. The Doppler effect and its relation to aberration is considered. A high-precision subroutine system ('EARTH') and a single subroutine of lower precision ('BARVEL') are discussed as possible sources for the barycentric velocity of earth. These programs are compared with the Jet Propulsion Laboratory's DE 96 relativistic ephemeris, and the barycentric velocities of earth are found to deviate from DE 96 by a maximum of 5 cm/s for EARTH and 42 cm/s for BARVEL. It is shown that the aberration and Doppler shift are computed for the declination range from 0 to 89 deg with maximum errors of 0.3 milliarcsec and 1.4 x 10 to the -9th, respectively, if the barycentric velocity is generated by BARVEL and that these errors are 10 times smaller in the case of EARTH. This rigorous treatment of aberration is compared with the conventional method based on Besselian day number.

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