Many scientific research satellites inhabit orbits between 3,000 and 6,000 miles. Navigation satellites, including the satellites used by your GPS receivers, operate in the 6,00 to 12,000 mile range. At this altitude, a satellite's orbital velocity matches the angular velocity of Earth's rotation. Such a satellite will be parked above a given spot on the ground. These orbital slots are occupied by weather satellites and communications satellites, including those used to send television signals to backyard dishes.
Geosynchronous satellites are too high to watch in the same manner as low-orbit satellites.
A telescope is typically necessary to spot these objects. Fortunately, their stationary position in the sky alleviates the problem of tracking these satellites in a telescope. With a little experience in watching satellites, you will come to recognize distinctive characteristics among different satellites. Some rocket boosters are in a slow tumble, alternately presenting large, then small surface areas. As a result, they seem to blink as they move across the sky.