Relativistic Ray Tracing Applied To A Rotating Optical System

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Special-relativistic effects on the imaging by a non-point-like arbitrarily moving optical instrument are discussed. Special-relativistic reflection law for a mirror of arbitrary shape and motion is derived in the limit of geometrical optics. A specialized software to perform relativistic ray tracing has been developed. The distortion on the images due to the motion of the reflecting parts of an instrument is analyzed. The motion of the surfaces, the trajectories of the light particles and the relativistic reflection law are carefully taken into account. The effects on the astrometric measurements performed by a rigidly rotating optical device have been studied in great detail. In particular, it has been applied to a schematic (but representative) design of the Gaia satellite. The new effects to the astrometric measurements at microarcsecond accuracy are discussed. 1 Left. Aberration patterns (coma) produced at different positions of the focal plane by a parabolic primary mirror. 2 Right. Patterns produced by the same device roting at high velocities.

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