Understanding GPS: Difference between revisions
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[[Image:Ellipsoid-math.gif|left|frame|WGS-84 Implimentation Manual, p.81]] | [[Image:Ellipsoid-math.gif|left|frame|WGS-84 Implimentation Manual, p.81]] | ||
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Revision as of 16:37, 24 October 2006
The US GPS system is a collection of 24 space vehicles placed in an approximately 12 hour orbit at +/- 55 degrees lattitude around the earth. By knowing exactly where these satalites are with regard to the earth, comunication with a GPS device can be trilaterated to calculate it's postition as well. GPS delivers to us 4 peices of data. Longitude, Latitude, Altitude, and Time.
Earth is a rock
The Earth is not spherical. Neither is it an ellipsoid, although we use an ellipsoid to approximated it. The Earth is actually a geoid, or shaped like a rock.
The System
The standard for this is constantly in a state of flux, but at this moment, the system is defined by the WGS-84 standard.
[WGS84 Implementation Manual]
Europe has been working on developing their own Galileo GPS system, mainly in the interest on not relying on a US system that can be locked out as a negotiating tactic. Russia uses it's own GLONASS system.
Mathmatics
The earth surface can be approximated as an Oblate Sphereoid or Oblate Ellipsoid. The GPS system uses a definition contained in WGS-84. This model has an equitorial radius of 20925646 feet and a polar radius of 20855487 feet.
F = (x/a)^2 + (y/b)^2 + (z/c)^2 where a = b = 20925646 and c = 20855487.
