MadSci Network: Engineering |
Greetings: Back in the 1970s, one of my first projects as a research engineer was to manage a program for the development of atomic clocks for use in the GPS system. The program was very challenging for GPS was the first system that had to consider the effects of the Theory of Relativity. At that time we never dreamed that the GPS system would eventually be used by the general population for many purposes including navigation for automobiles, backpackers and would even be used to measure the shift in mountains here in California after earthquakes. After the Northridge earthquake, Oat Mountain in the San Fernando Valley was measuerd by GPS to have moved upward and sideways a total of 46 cm (18 inches). Definitions: Hertz (Hz): the symbol for cycles per second Megahertz (MHz) : symbol for million of cycles per second. Subcarrier, and modulation : techniques for placing information on carrier frequencies. The GPS satellites transmit at microwave frequencies in what is named the L- band, on two carrier frequencies, called L1 and L2. Carrier frequency L1 = 1575.42 MHz Carrier frequency L2 = 1227.6 MHz. The GPS signals are contained within two frequency bands 20.46 MHz wide (+/- 10.23 MHz) centered about L1 and L2. The navigation information from each GPS satellite is transmitted on two subcarrier frequencies modulated on L1 and L2. One subcarrier operating at 10.23 MHz uses a high precision secure code for military navigation systems. The second subcarrier operates at 1.023 MHz in an open code for less precise navigation for general use. The open code distance resolution is about 10 times greater than the military code resolution. Because of relativistic time shift effects that were predicted by Albert Einstein back in 1910, the GPS satellites and their atomic clocks age more slowly than similar clocks on earth (this is some times called the twin paradox). This relative time shift is off set by setting the clocks on the spacecraft to run slightly faster by 0.0045674 Hz. For most of the 20th century the concept of time shifting and time travel was an esoteric effect used by science fiction writers. Today the atomic clocks in the GPS satellites are growing old less slowly than us here on earth in a measurable way and we must compensate the navigation information for this continuous time shifting! References: 1) U.S. Coast Guard GPS Navigation documents. http://www.navcen.uscg.mil/gps/geninfo/gpsdocuments/icd200/ default.htm 2) A GPS primer on how the system works presented on the Aerospace Corporation web site at: http:// www.aero.org/publications/GPSPRIMER/index.html Best regards, Your Mad Scientist Adrian Popa
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