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How Does Gps Rely on Geometry and Trigonometry Now That There Are Satellites? Has the Function of Geometry and Trigonometry in Triangulation and Navigation Changed Since Satellites Were Built?

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Area: Mathematics Topic: GPS

Research Question: How does GPS rely on geometry and trigonometry now that there are satellites? Has the function of geometry and trigonometry in triangulation and navigation changed since satellites were built?

IB MATH Candidtate name: Tristan Stevenson Candidate Number: dwq773 (001366 – 016) School: Prem tinsulalonda International School November 14, 12 Word Count:2090

Abstract: This essay examines the question: How does GPS rely on geometry and trigonometry now that there are satellites? Has the function of geometry and trigonometry in triangulation and navigation changed since satellites were …show more content…

How GPS works There are 24 satellites that circle the earth every 12 hours. These satellites are split into six groups of four and each group creates an orbital plane. These six orbital planes allow the satellites to move in a way that covers the earth completely. GPS satellites transmit signals to equipment on the ground. An example is a GPS receiver (GPS receiver can only receive the signals form the satellites but they can’t transmit any signals). The receivers work best in an open outdoor area where there is a clear view to the sky. At any time there are always four visible satellites. The GPS receiver can calculate how far each satellite is based on the time it took the signal to reach the receiver. Using the distance from each satellite that the receiver calculated it could then use a process called trilateration to pinpoint the location of the receiver [1].

Problems and Improvements: Today the accuracy of GPS navigation is not questioned, however, there are still some Applications that use GPS to plot routes between two points and can be very inaccurate because it is hard to determine the difference between locations [5]. For example if you are on a trail that is not registered a GPS could give you an incorrect route. Also a GPS receiver will give inaccurate readings in a forest or a city with tall buildings because satellites have to send clear signals to GPS

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