2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105293In this note we present a flexible approach to perform the propagation of track parameters and their derivatives in an inhomogeneous magnetic field, keeping the computational effort small. We discuss also a Kalman filter implementation using this optimized computation of the derivatives.13 pages, 1 figureData Analysis, Statistics and ProbabilityOptimized Integration of the Equations of Motion of a Particle in the HERA-B Magnettext