Volume 528, April 2011
|Number of page(s)||6|
|Section||Celestial mechanics and astrometry|
|Published online||21 February 2011|
Relativistic satellite astrometry: the stellar radial velocity
Dipartimento di Fisica “Galileo Galilei”Università degli Studi di
via Marzolo 8,
e-mail: firstname.lastname@example.org; email@example.com; firstname.lastname@example.org; email@example.com
2 INFN, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy
3 Osservatorio Astronomico di Torino, strada Osservatorio 20, 10125 Pino Torinese (TO), Italy
Accepted: 6 January 2011
We present a general-relativistic analysis that allows the stellar radial velocities to be determined from a suitable implementation of the spectroscopic data with the astrometric ones shortly to be provided by new generations of astrometric satellites at μarcsec levels of accuracy at least. This analysis leads to an enhancement of the c-1 Doppler-shift formula presently planned for the Gaia mission to an all-inclusive, general-relativistic formula at the c-3 level, consistently with the expected accuracy. From this formula, which is shown to provide relevant corrections already at the c-2 level to a previously proposed one, we are then able to derive the explicit expression for the stellar radial velocity in terms of the spectroscopic and astrometric data, thereby accounting for all the necessary relativistic corrections up to and including the c-3 level.
Key words: gravitation / methods: analytical / techniques: high angular resolution / techniques: spectroscopic / astrometry / stars: kinematics and dynamic
© ESO, 2011
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