Abstract

A Comparison of Regularization Methods for few-body interactions

Seppo Mikkola
University of Turku

In this work several methods to regularize the computation of few-body motions are discussed. These include the global regularization and
the CHAIN-algorithm, which utilize the KS-transformation, and two
other methods, the logarithmic Hamiltonian (logH) and time transformed
leapfrog (TTL), which use a regularizing algorithm rather than
coordinate transformation. All these methods are useful to advance
strongly interacting subsystems in N-body simulations. Facility of use and programming are considered and accuracy tests in various systems, including some with large mass ratios, are conducted.