Positions and angles of the three mirror coelostat

Physics

Scientific paper

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Positioning, Positioning Devices (Machinery), Reflecting Telescopes, Rotating Mirrors, Solar Instruments, Angles (Geometry), Azimuth, Coordinates, Cosine Series, Incidence, Reflected Waves

Scientific paper

Formulas for the combination of three plane mirrors, using solar altitude and azimuth, are developed. The direction from the center of the primary mirror (PM) to the solar image reflected by this mirror is the direction to the secondary mirror. The plane of incidence at PM can be determined either from the fact that it contains the directions to the Sun and to the secondary mirror with direction cosines, of from the direction to the Sun and the normal to the primary, with the direction cosines. The third mirror is positioned directly north of PM, and the angles of incidence and reflection at the mirrors are deduced from the direction of the Sun, the directions between the mirrors, and the direction from mirror three vertically downwards. For the large European solar telescope the exit the exit pupil is imaged on mirror three, so the sum of the distances between mirrors one and two and between mirrors two and three must be kept constant.

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