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Modeling Scenario

5-080-SpaceFlightRecolonize-ModelingScenario

Author(s): Brian Allen, Karoline Hood1

United States Military Academy, West Point NY USA

Keywords: optimization sum of square errors vector calculus Lagrange multipliers line integrals

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Abstract

Resource Image This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of second order differential equations to model a planet

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Description

Students will solve a system of second order differential equations to model a planets orbit and also solve a differential equation to model Kepler's Second Law. In addition they will solve two optimization problems with the sum of square error and Lagrange multipliers. They will also use vector calculus to solve for work using line integrals in both a conservative and non-conservative fields. Included in this project is a Mathematica Notebook with solutions.

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Authors

Author(s): Brian Allen, Karoline Hood1

United States Military Academy, West Point NY USA

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