On the relationship between classical and relativistic theory of stellar aberration

Details On the relationship between classical and relativistic theory of stellar aberration On the relationship between classical and relativistic theory of stellar aberration

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....84..257s&link_type=abstract

Astronomy and Astrophysics, vol. 84, no. 1-2, Apr. 1980, p. 257-259.

Astronomy and Astrophysics

Astrophysics

5

Aberration, Astrometry, Celestial Mechanics, Position (Location), Relativistic Theory, Astronomical Coordinates, Polar Coordinates, Relationships

Scientific paper

It is shown that, due to annual aberration, both the classical and the relativistic second-order terms of the apparent unit position vector describe an elliptic path on the sky through the first-order apparent position. The axes of the relativistic ellipse are 0.001 arcsec x cos b and 0.001 arcsec x cos b x sin b, respectively (b equals ecliptic latitude). The axes of the classical ellipse are twice as long. In both cases, the period is 1/2 yr. Compared with a rigorous relativistic calculation of aberration, first-order and classical second-order aberrations contain errors of the same size but of opposite sign.

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