Does the daily rotation of the observer together with the Earth affect the determination of the apparent time of rotation of the planet around its axis?
It boils down to the fact that the position of the visible center of the planet changes due to the diurnal parallax and by such an amount, i.e., in most cases, by a fraction of a second of an arc, while the planetocentric coordinates of parts on the planet are generally determined with an accuracy of less than 1 °. So this influence is almost imperceptible.
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