  This paper describes an alternative approach for generating pointing models
for telescopes equipped with serial kinematics, esp. equatorial or alt-az
mounts. Our model construction does not exploit any assumption for the
underlying physical constraints of the mount, however, one can assign various
effects to the respective components of the equations. In order to recover the
pointing model parameters, classical linear least squares fitting procedures
can be applied. This parameterization also lacks any kind of parametric
singularity. We demonstrate the efficiency of this type of model on real
measurements with meter-class telescopes where the results provide a root mean
square accuracy of 1.5-2 arcseconds.
