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Global Positioning Systems GPS Steve Howard Central Virginia Governor’s School [email protected]

Global Positioning Systems GPS Steve Howard Central Virginia Governor’s School [email protected]

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Global Positioning SystemsGPS

Steve HowardCentral Virginia Governor’s School

[email protected]

GPS Introduction GPS is a network of 24 NAVSTAR

satellites orbiting the Earth at ~11,000 miles

Free to all users Developed by the US Dept of

Defence These satellites launched from

1978-1994 GPS provide specially coded

satellite signals that can be processed by a receiver, enabling the receiver to compute position, velocity and time

GPS Segments#1 - satellite constellation

24 satellites transmitting signals (1575.42 MHz)

6 satellites can be “seen” at any time, anywhere on Earth

Signal contains 3 different pieces of info Pseudo-random code which identifies each

satellite along with timing data Ephemeris data Almanac data

GPS Segments#2 – Operational Control Segment

The OCS maintains the satellites in their proper positions and monitors satellite health and status

Remote, unmanned monitor stations (Hawaii, Kwajalein-Pacific Ocean, Diego Garcia – Indian Ocean, Ascention Island-Atlantic Ocean and Colorado Springs) constantly track and monitor signals sent from satellites and info to Master Control Station at Falcon Air Force Base in Colorado Springs

MCS uploads navigation correction messages and other data to the satellites

GPS Segments#3 – User receiving equipment

GPS receivers process the signals from the satellites position, velocity and time

Applications include: Location Navigation Tracking Mapping Timing

How GPS Works Trilateration

Let's say that you are somewhere in the United States and you are TOTALLY lost -- you don't have a clue where you are. You find a friendly-looking person and ask, "Where am I?" and the person says to you, "You are 625 miles from Boise, Idaho."

You could be anywhere on a circle around Boise that has a radius of 625 miles,

How GPS Works Trilateration

So you ask another person, and he says, "You are 690 miles away from Minneapolis, Minnesota." This is helpful -- if you combine this information with the Boise information, you have two circles that intersect. You now know that you are at one of two points, but you don't know which one.

How GPS Works Trilateration

If a third person tells you that you are 615 miles from Tucson, Arizona, you can figure out which of the two points you are at.

GPS receivers work in a similar way by getting the distance from at least 3 satellites. A 4th satellite is needed for error correction and timing

Want more info? http://www.howstuffworks.com/gps.htm/

How GPS Really Works In 3-Dimensions, if

you know you are 11,000 miles from a satellite, you could be anywhere on a sphere

3 satellites leave you with 2 possible locations – 1 of which is usually impossible

How to measure distance We assume both the

satellite and the receiver are generating the same pseodo-random code at exactly the same time

The receiver determines how “out-of sync” the 2 codes are and then uses dist=rate x time, now knowing time and rate = speed of light ~ 186,000 miles/sec

How to measure distance BUT WAIT – it’s not quite

that easy. There is error involved.

GPS signals pass through the ionosphere and troposphere, slowing them down and bending them

The signals may also bounce off of local obstructions – mountains, buildings, etc.

The satellite’s orbit may also be off.

What about that ERROR! It’s important for

receivers to “fix” the errors. At the speed of light, a timing error of 1/1000 of a second results in a 200 mile location error!

Readings from a 4th satellite can be used to approximate the timing error

Another way to correct error WAAS (Wide Area Augmentation System)

Also called Differential GPS, WAAS uses monitoring stations that know where they are and where every satellite SHOULD be.

The stations can then determine the timing differential in each satellite

WAAS satellites then send this info out to GPS receivers

Now let’s try our hand at GPS Terms to know

Location Fix Coordinate Waypoint Bearing GOTO