In the space laser communication terminal with rotation-mirror, course- tracking system achieves APT (Alignment
Pointing and Tracking) function by a two-axis rotation-mirror and reduces the weight and power dissipation of the
system. Image rotation will be exist, if the photoelectric-detect unit is fixed and not rotate with rotation-mirror. Rotation
of mirror will make revolution between coordinates of mirror and detector, in which mirror’s adjust-angle is not linear to
detection-angle. In the paper, firstly math model of rotation-mirror course-tracking system for laser communication
terminal based on the vector theory of optical reflection is established and deduces the adjust formulation of mirror
tracking the beacon laser, figuring out relation between adjust-angle and detection-angle. As a result, the formulation is
very complex and is not desired for system. To optimize computed efficiency, the relationship between rotation-mirror
angle and the detector’s elevation and azimuth is analyzed in detail. The calculating formulation to eliminate
image-rotation's affection is simplified, while the angle error of this method has been got. Analytical result shows the
maximum calculating error is 3.9μrad, being satisfied with the need of course-tracking accuracy. The paper presents the
adjust-angle formulation for the two-axis rotation mirror course-tracking system used for laser communication terminal,
is useful for the design of tracking system.
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