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In this math 2280 project, students will delve deeper into mathematical concepts by applying newton's law of universal gravitation to derive kepler's first two laws of planetary motion. The project involves writing a complete solution for application 4.1 on pages 256-258 of the textbook, with only the orbit plotting requiring computer usage. Due date is march 31st.
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This project will be a bit of a break, at least relative to the first project, from Maple programming and will instead involve a more in depth in- vestigation of a mathematical problem. In particular, you’ll use Newton’s law of universal gravitation to derive Kepler’s first two laws of planetary motion. Your project is to write up a complete solution to application 4. on pages 256 through 258 of your textbook. The only part that will involve using a computer will be plotting some representative orbits at the end. The project will be due on March 31st. Project 3 will involve much more computer work.