Project 1 - GPS, CONDITIONING, AND NONLINEAR LEAST SQUARES

Overview:

The Global Positioning System (GPS) is a satellite-based navigation system made up of a network of 24 satellites. In order to triangulate the position of the receiver, we require at least four satellites. With the four satellites are able to determine the position of the receiver and the error in the receiver's clock.
Team Members: Daniel West, Lado Tonia

Problem 3: Daniel/Lado
Problem 4: Lado
Problem 5: Lado
Problem 6: Daniel/Lado
Website: Daniel
Problem 3 | Problem 4 | Problem 5 | Problem 6 | All


Results:

Problem Max EMF Max Position Error
4 13.3 40 meters
5 242 726 meters
6 .835 2.5 meters

It is clear that plenty of unbunched satellites will give you a much more accurate location compared to bunched or fewer satellites.

Final Code:
Code - Multivariate Newtons Method Function
Code - Gauss Function
Code - Polar/Init
Full Output - See Individual Problems Individual Output/