The discussion centers on the calculations for determining the distance of a geostationary satellite with the same angular velocity (w) as Earth. Two different methods yield conflicting results: one calculation suggests a distance of 42300 KM, while another indicates 36000 KM. The discrepancy arises from a misunderstanding of the orbital radius versus the height above Earth's surface. The correct height of a geostationary satellite is approximately 35786 KM, leading to a total distance from the Earth's center of about 42300 KM when adding Earth's radius.
PREREQUISITESAstronomy students, physics enthusiasts, and professionals involved in satellite technology and orbital mechanics will benefit from this discussion.
gneill said:Show your calculations both ways. At least one of them has an error.
It might be of interest to know that the rotational period of the Earth on its axis is not quite 24 hours. The sidereal day is 23h 56m 4.091s, or 23.9344696 hours.
