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Description
The Trackcpp application, developed by the Accelerator Physics Group at the Brazilian Synchrotron Light Laboratory, models the SIRIUS accelerators and simulates particle tracking using maps in a six-dimensional coordinate system. The path length, one of these coordinates, measures the arrival time difference between a particle and the synchronous particle in units of space, which is fundamental for describing the interaction of radiofrequency cavities and particles. However, in Trackcpp, the path length is implemented as the path deviation of a particle relative to the length of an accelerator's design orbit, which leads to limitations when simulating the longitudinal motion in accelerators that operate with non-nominal RF frequency. This work proposes a modification to the path length variable to accurately simulate the longitudinal dynamics under varied RF frequencies.
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