Relativistic effects on imaging by a rotating optical system

Details Relativistic effects on imaging by a rotating optical system Relativistic effects on imaging by a rotating optical system

Jan 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007a%26a...462..371a&link_type=abstract

Astronomy and Astrophysics, Volume 462, Issue 1, January IV 2007, pp.371-377

Astronomy and Astrophysics

Astrophysics

Astrometry, Reference Systems, Relativity

Scientific paper

Context: High accuracy astrometric instruments like Gaia aiming at an accuracy of 1 microarcsecond cannot be considered as point-like observers in the framework of relativistic modelling of observable quantities. Aims: Special-relativistic effects on the imaging by a non-point-like arbitrarily moving optical instrument are discussed. Methods: A special-relativistic reflection law for a mirror of arbitrary shape and motion is derived in the limit of geometrical optics. The aberration patterns are computed with ray tracing using a full special-relativistic model for two simple rotating optical instruments. Results: The effect of special-relativistic reflection law on the photocenters of the aberration patterns of an optical system rotating with a moderate angular velocity of 60 arcsec/s may be at the level of 1 microarcsecond if the system involves mirrors significantly inclined relative to the optical axis. Conclusions: .Special-relativistic optical modelling of future astrometric instruments is indispensable if a level of a few microarcseconds is envisaged.
Appendix A is only available in electronic form at http://www.aanda.org

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