Abstract

We generalize in several directions a previously published Runge-Kutta method for track fitting. We point out that the same basic idea applies to any equation of motion and any general method for numerical integration. For comparison we also discuss the quintic spline fit. In particular we extend the previous Runge-Kutta method to the case when energy loss (due to ionization) is important, treating this as a deterministic problem. In a second paper we will return to the treatment of non-deterministic effects, i.e. multiple Coulomb scattering and fluctuations in energy loss.

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