- the time the message was transmitted
- satellite position at time of message transmission
The receiver uses the messages it receives to determine the transit time
of each message and computes the distance to each satellite using the
speed of light. Each of these distances and satellites' locations define
a sphere. The receiver is on the surface of each of these spheres when
the distances and the satellites' locations are correct. These distances
and satellites' locations are used to compute the location of the
receiver using the navigation equations. This location is then
displayed, perhaps with a moving map display or latitude and longitude;
elevation information may be included. Many GPS units show derived
information such as direction and speed, calculated from position
changes.
In typical GPS operation, four or more satellites must be visible to
obtain an accurate result. Four sphere surfaces typically do not
intersect. Because of this, it can be said with confidence that when
the navigation equations are solved to find an intersection, this
solution gives the position of the receiver along with the difference
between the time kept by the receiver's on-board clock and the true
time-of-day, thereby eliminating the need for a very large, expensive,
and power hungry clock. The very accurately computed time is used only
for display or not at all in many GPS applications, which use only the
location. A number of applications for GPS do make use of this cheap and
highly accurate timing. These include time transfer, traffic signal
timing, and synchronization of cell phone base stations.
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