Discretionary Lecture - GPS Technology and Relativity

Discretionary Lecture - GPS Technology and Relativity - •...

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Physical Science 100 Unit 1: Discretionary Lecture GPS Technology and Relativity Fall 2011 Wednesday Sep. 21
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Preliminary Items Exam opens Thursday (Thurs. - Mon. @11 free, late fee Mon. after 11 - Tues.) Friday is review day (bring clickers) [email protected] is bouncing Classwide emails posted on Blackboard under Announcements
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GPS Technology Uses Navigation Map-making (Google Earth, etc.) Clock synchronization (accurate to ±10ns) Cell Phones – FCC mandated that calls be tracked Geofencing – tracking cars/people/pets Geotagging – location tag on digital photos, etc. Robotics – self navigating robots Tectonics – earthquake fault motion measurement Geocaching – high tech treasure hunting
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Triangulation (4th needed for height) t v d = t v d = t v d =
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Relativity and Satellites
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Unformatted text preview: • Satellite altitude of 15,960 miles (26.6x106 m) • Satellite speed of 8,424 mph (3,890 m/s) • Light Speed – 671,000,000 mph (3x108 m/s) • Special Relativity – clocks run slower at high speeds, satellites clocks run 7.2x10-6 seconds/day slower than Earth clocks • General Relativity – clocks run faster in weaker gravitational field (not discussed in class so far), satellites’ clocks run 45.9x10-6 seconds/day faster than Earth clocks What does this mean? • Satellite clocks run 38.7x10-6 seconds/day fast • GPS receivers off by 6 miles (10 km) per day • GPS clocks were designed to run slower before launching them into orbit Space Station Fly Over Video http://www.youtube.com/watch?v=74mhQyuyELQ...
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