Algebraic Determination of Roman Pot Acceptance and Resolution for the beta* = 1540 m Optics

This note describes algebraic methods for calculating Roman Pot acceptance and reconstruction resolution in the kinematic variables of diffractively scattered protons. This approach being based on a parameterisation of the optical functions for beta* = 1540 m}, results are obtained rather fast without tracking individual protons through the LHC ring. Evidently, the precision of the results relies on the accuracy of the parameterisation. Slight differences between the results in this note and the ones given in the (older) CMS/TOTEM physics TDR are due to the correction of some suboptimal program features.