Air navigation has additional restrictions: High speed of an aircraft – less time to calculate, Cannot stop mid-air! There is no in-flight rescue once you get lost!, Constant awareness of position is required!
The process of calculating one's current position by using a previously determined position, or fix, and advancing that position based upon known or estimated speeds over elapsed time and course
Distance information gives circle centred at transmitter, Radius R = c tt - tr, Measurement of time difference between transmitted and received signals are translated into distance
Signal propagation velocity (nominally c = 3 × 10^8 m/s) varies in time and position, Change due to pressure and humidity, Precipitation changes refractive index above 10 GHz, Satellite receivers can correct for position-based atmospheric data
Advantages: Global coverage, All weather fixing, Provides air traffic control over oceans, Disadvantages: Satellite, Replacement programme to replace failed satellites, Cost to maintain GPS is $400 million per annum (DOD funded)
si – time sent by satellite, b -satellite clock bias, xi, yi, zi – are satellite coordinates, x, y, z – position of the receiver, t̃i – time when message received by onboard clock, c – speed of light
Control Segment: System of tracking stations, Orbital models, Compute precise orbital data and clock corrections, Uplink clock and orbital data
User segment (aircraft): Receivers convert satellite data into x,y,z,t, velocity, Correlation time shift to provide synchronisation of pseudo random pattern data from satellite – velocity and range, Low cost crystal clock, Processes data using 4 equations ( minimum 4 satellites needed)
Uses spread spectrum modulation, Precise Positioning Service (PPS) – 1227 MHZ (L2) / 1575MHz (L1) for authorised users, Standard Positioning Service 1575MHz (L1) for general use
24 Satellites in 6 orbital planes, 4 in each plane, 20,200 Km Altitudes, 55 degree inclination, 12 hour, over a given point on Earth each 24 hours, Each satellite transmits L1+L2 frequencies but unique code identifies the satellite, Message contains position and time info