2 calculating the distance to the satellite, Distance to satellite, How gps works 4 5 6 – Leica Geosystems GPS Basics User Manual

Page 13: Distance = velocity x time

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GPS Basics -1.0.0en

How GPS works

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3.1.2 Calculating the distance to the satellite

Calculating the Time
The satellite signal has two codes modulated upon it, the C/A code and the

P-code (see section 2.1). The C/A code is based upon the time given by a

very accurate atomic clock. The receiver also contains a clock that is used to

generate a matching C/A code. The GPS receiver is then able to “match” or

correlate the incoming satellite code to the receiver generated code.

The C/A code is a digital code that is ‘pseudo random’ or appears to be

random. In actual fact it is not random and repeats one thousand times

every second.
In this way, the time taken for the radio signal to travel from the satellite to

the GPS receiver is calculated.

In order to calculate the distance to each

satellite, one of Isaac Newton’s laws of

motion is used:

Distance = Velocity x Time

For instance, it is possible to calculate

the distance a train has traveled if you

know the velocity it has been travelling

and the time for which it has been

travelling at that velocity.
GPS requires the receiver to calculate

the distance from the receiver to the

satellite.
The Velocity is the velocity of the radio

signal. Radio waves travel at the speed

of light, 290,000 km per second

(186,000 miles per second).
The Time is the time taken for the radio

signal to travel from the satellite to the

GPS receiver. This is a little harder to

calculate, since you need to know when

the radio signal left the satellite and

when it reached the receiver.

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