Astronomers use sidereal time instead of solar time anyway, so they're used to making time corrections, the sidereal day is only 23 hrs, 56m, 4 seconds and chan

Astronomers use sidereal time instead of solar time anyway, so they're used to making time corrections, the sidereal day is only 23 hrs, 56m, 4 seconds and change. Equivalent to the length of a day if the light from the sun was coming from an infinitely distant source. That way at a given sidereal time, anything far enough away will always be in the same place in the sky.