A geosynchronous or, more specifically, geostationary orbit is an orbit where your orbital period is equal to that of the gravitational body's "day" (specifically the sidereal time or sidereal rotation period), so you remain in the same spot over the planet consistently. Therefore, the time period will always be 24 hours. The idea of geosynchronous satellites is to find an orbit over the equator in which the satellite revolves around the earth at the same rate that the earth spins on its axis. In other words, find an orbit with a period of 24 hours. A geosynchronous orbit (sometimes abbreviated GSO) is an orbit around the Earth with an orbital period of one sidereal day (approximately 23 hours 56 minutes and 4 seconds), matching the Earth's sidereal rotation period. In astrodynamics an orbit equation defines the path of orbiting body around central body relative to , without specifying position as a function of time. A geostationary orbit is an orbit which is fixed in respect to a position on the Earth. From combining the centripetal force, gravitational force and basic velocity force equations, we can deduce that the radius required for a geostationary orbit … Also the gravitational force and the centripetal force needs to be equal, which is the case for any circular orbit. Excel formula used in this table to calculate the altitude of the satellite in synchronous orbit of the planet: The geosynchronous orbit (synchronous orbit of the Earth) is at an altitude of 35,796 km (≈ 36,000 km) and has a semi-major axis of 42,167 km.