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.