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Johannes Kepler |
A Lagrangian Analysis of Orbital Dynamics: Deriving Kepler's Laws of Planetary Motion |
Joseph Louis Lagrange |
Physics/Mathematics 318: Lagrange's Mechanics and Mathematics
For my project I took on the task of deriving Kepler's three Laws of Planetary Motion from a Lagrangian analysis of a two body orbital system.
First I would like to credit the following sources for providing information that was helpful in solving the problems.
Goldstein, Herbert. Classical Mechanics. Reading, Massachusetts: Addison-Wesley Publishing Company. 1950.
Lagrange, J.L. Analytical Mechanics. Trans. Auguste Boissonnade and Victor N. Vagliente. Boston: Kluwer Academic Publishers. 1811.
Lemons, Don S. Perfect Form. Princeton, New Jersey: Princeton University Press. 1997.