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Usually observatories have time servers on site for reasonable time keeping.

If I have 1 second of time error, how will this impact sidereal tracking? By how much?

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  • $\begingroup$ It would only be an issue on initial alignment (by 15 arcseconds). After the alignment is corrected, the mount will track at the sidereal rate. Mechanical and atmospheric effects are usually more of a factor. $\endgroup$
    – Greg Miller
    Commented Feb 11 at 23:36

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Earth rotates approximately 15" per second, 15' per minute, 15 degrees per hour.

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