Final answer:
A geostationary satellite can maintain a fixed position relative to the Earth by being placed in a circular orbit above the equator at an altitude of approximately 35,786 kilometers. This satellite must have zero inclination and a rotation period of one day.
Step-by-step explanation:
A geostationary satellite is able to maintain a fixed position relative to the Earth due to specific orbital characteristics. First, the satellite must be placed in a circular orbit above the equator, with an altitude of approximately 35,786 kilometers. This altitude is often referred to as the geostationary orbit. Second, the satellite must have zero inclination, meaning it orbits the Earth in the same direction and plane as the Earth's rotation. Finally, the satellite must have a period of rotation equal to one day (approximately 23 hours, 56 minutes, and 4.1 seconds), which allows it to move in sync with the Earth's rotation.