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Some Graphical Solutions of the Kepler Problem
by Marc Frantz (Indiana University)This article originally appeared in:
American Mathematical Monthly
Subject classification(s): Mathematical Physics | Applied Mathematics | Conics | Analytic Geometry | Geometry and Topology
Applicable Course(s): 4.12 Advanced Math for Engineering & Physics | 4.9 Geometry
This article is part of the Mathematics of Planet Earth 2013 Collection. The Kepler Problem is the determination of the positions as functions of time of two heavenly bodies interacting under a central force that is inversely proportional to the square of the distance between them. Frantz offers geometric solutions to these problems. There are corresponding animations still available on the author's website.
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