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Relativistic and perspective effects in proper motions and radial velocities of stars

Published online by Cambridge University Press:  04 August 2017

P. Stumpff
P. Stumpff*
Affiliation:
Max-Planck-Institut für Radioastronomie, Auf dem Hügel 69, 53 Bonn, Federal Republic of Germany

Abstract

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The heliocentric motion of stars is investigated by taking into account all effects due to the geometry and due to the finite speed of light. It is shown that the proper motions as given in star catalogues contain the main light retardation term; an additional term of this type modifies Schlesinger's (1917) term but is less significant than a 3rd order perspective term neglected in conventional astrometry. Kapteyn's star serves as a numerical example. The ambiguous relativistic relation between Doppler shifts and radial velocities is discussed and demonstrated in a diagram. The ambiguity is solved with rigorous equations which allow to compute the inertial motion of a star from its proper motion, classical radial velocity, and distance. -

Type
Reference Frames and Astrometry
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 193 - 198
Copyright
Copyright © Reidel 1986 

References

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