1. Define Constants
Radius of Earth
Radius of Satellites
Sum of the Two Radii
Speed Of Light
Initial Guess of Location
This is Intersection of I-20 and I-85/75
Psuedorandom Rages (kilometers)
2. Get Everything in Cartesian Coordinates
Formulas to convert Latitude/Longitude
to Cartesian Coordinates
S = Satellites
E = Earth
Apply Formula to Each Satelite
Apply Formula to Earth
Satellite 0
Satelite 1
Satelite 2
Satelite 3
Earth Guess
3. Linearize Equations and Solve
Distance between Satellite and Guess
Difference between Observed and
Measured Psuedoranges
Directional Derivitives
Matrix of Linearized Range Equations
Solve for Difference in Distance
Add difference to original estimate
4. Convert back to Degrees

Team Mooninite

Solution to Late for Dinner, GPS Scavenger Hunt

Borrowed Heavily from two sources: Peter Dana, University of Colorado

Some Virginia Tech student's Thesis

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Final Location:

Corresponds to corner of Myrtle Street and Ponce de Leon, which unlocks the invitation to Mary Mac's Tea Room