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I was thinking about this (I can use the transit because there's no EDM to burn out).
Do you wind up the angles with a moving foresight (the sun)? Time would have to be kept at each observation of the sun.
The other thought I had is to pick a good target on the ground ahead of the sun. Sight the target then elevate the telescope. Record the time of observation when the leading edge of the Sun touches the vertical cross-hair (I would use a white card since I don't have a solar filter). Then wind up the angles from the "Sun" target on the ground to the backsight target.
Maybe do this three times to get a blunder check.
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