How does the GPS works

IB Mathematics AA SL IA
This is an International Baccalaureate mathematics Analysis and Approach essay. I want a 12-20 pages research paper including analysis, diagrams, graphs and mathematical calculations to analyze and explore the research question “How does the GPS works?”
The paper should include:
· Background information
· Exploration
· Einstein’s Relativity Series concept explanation and analysis
· A conclusion to the research
In the essay a lot of math should be included and analysis to this math. In this investigation there must be explanation of how the GPS works in a mathematical perspective and investigate how it could be more accurate to give the user of the GPS more accurate results by applying the relativity series of Einstein.
Resources that could assist in writing the paper:
· https://letstalkscience.ca/educational-resources/backgrounders/math-behind-gps
· https://www.electroniclinic.com/gps-system-its-history-working-principle-of-gps-and-application/
· https://www.youtube.com/watch?v=QQZttgzwLhs
· https://spaceplace.nasa.gov/gps/en/
· https://www.youtube.com/watch?v=wCcARVbL_Dk
There is a checklist of the format the essay should be written in:
· https://lanterna.com/blog/how-to-structure-and-format-your-math-ia/
· https://nailib.com/blog/ib-math-ia
What you must include in the Essay:
· Background Information:
Definition of GPS
Purpose of GPS
Why was the GPS designed and what is used it for now?
Components of the GPS
Conditions must be available to work the GPS
Explain 2-D trilateration
Explain 3-D trilateration
Relativity series of Einstein
Delay of time due to velocity and gravity
· Include in your exploration:
Delay of time due to velocity
Delay to time due to gravity
Simultaneous equations of plotting the location of a person on Earth
The math in waves transmitted from the satellite
· Relativity Series explanation and analysis
Note:
· Please include a lot of math and analyze
· Use diagrams, graphs, …etc.
· Conclusion must be precise to the analysis above and reliable
· I need it before 8 AM tomorrow

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