Fundamentals of Regularization in Celestial Mechanics
and Linear Perturbation Theories

by Jörg Waldvogel
Seminar for Applied Mathematics
Swiss Federal Institute of Technology ETH
CH-8092 Zürich, Switzerland


What is regularization? Why is it useful for studying planetary systems? Although collisions in evolved planetary systems are rare events, the theory of regularization (i.e. the removal of collision singularities) is an important tool for developing good perturbation theories and efficient numerical algorithms. We give an overview of these techniques.

This is an invited lecture given at the Scottish Universities Summer School in Physics at Sabhal Mor Ostaig, Skye, Scotland, 28 May through 8 June 2007.
Topic of the Summer School: Extra-Solar Planets: The Detection, Formation, Evolution and Dynamics of Planetary Systems.

View the presentation, June 7, 8, 2007 (42 frames): scotland.pdf

Download a preliminary version of the full text (19 pages): scotpaper.pdf