KARLSTAD UNIVERSITY DEPARTMENT OF ENGINEERING AND PHYSICS Analytical mechanics RUNGE-LENZ-SYMMETRIES Author: Supervisor: Rasmus Laven Juirgen Fuchs January 21,2016KARLSTAD UNIVERSITY DEPARTMENT OF ENGINEERING AND PHYSICS Analytical mechanics Runge-Lenz-Symmetries Author: Rasmus Lav´en Supervisor: J¨urgen Fuchs January 21, 2016