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- Butkevich, A. G.Dresden University of Technology (author)
Rigorous treatment of barycentric stellar motion Perspective and light-time effects in astrometric and radial velocity data
- Article/chapterEnglish2014
Publisher, publication year, extent ...
- 2014-10-16
- EDP Sciences,2014
Numbers
- LIBRIS-ID:oai:lup.lub.lu.se:432486a7-d607-4b06-a1dc-028bc1d46716
- https://lup.lub.lu.se/record/4875696URI
- https://doi.org/10.1051/0004-6361/201424483DOI
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- Language:English
- Summary in:English
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- SwePubSwePub
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- Context. High-precision astrometric and radial-velocity observations require accurate modelling of stellar motions in order to extrapolate measurements over long time intervals, and to detect deviations from uniform motion caused, for example, by unseen companions. Aims. We aim to explore the simplest possible kinematic model of stellar motions, namely that of uniform rectilinear motion relative to the solar system barycentre, in terms of observable quantities including error propagation. Methods. The apparent path equation for uniform rectilinear motion is solved analytically in a classical (special-relativistic) framework, leading to rigorous expressions that relate the (apparent) astrometric parameters and radial velocity to the (true) kinematic parameters of the star in the barycentric reference system. Results. We present rigorous and explicit formulae for the transformation of stellar positions, parallaxes, proper motions, and radial velocities from one epoch to another, assuming uniform rectilinear motion and taking light-time effects into account. The Jacobian matrix of the transformation is also given, allowing accurate and reversible propagation of errors over arbitrary time intervals. The light-time effects are generally very small, but exceed 0.1 mas or 0.1 m s(-1) over 100 yr for at least 33 stars in the Hipparcos catalogue. For high-velocity stars within a few tens of pc from the Sun, light-time effects are generally more important than the effects of the curvature of their orbits in the Galactic potential.
Subject headings and genre
- NATURVETENSKAP Fysik Astronomi, astrofysik och kosmologi hsv//swe
- NATURAL SCIENCES Physical Sciences Astronomy, Astrophysics and Cosmology hsv//eng
- methods: data analysis
- technique: radial velocity
- astrometry
- parallaxes
- proper motions
- reference systems
Added entries (persons, corporate bodies, meetings, titles ...)
- Lindegren, LennartLund University,Lunds universitet,Astronomi - Genomgår omorganisation,Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation,Naturvetenskapliga fakulteten,Lund Observatory - Undergoing reorganization,Department of Astronomy and Theoretical Physics - Undergoing reorganization,Faculty of Science(Swepub:lu)astr-lli (author)
- Dresden University of TechnologyAstronomi - Genomgår omorganisation (creator_code:org_t)
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- In:Astronomy & Astrophysics: EDP Sciences5700004-63611432-0746
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