  Measurements and analysis of orbit response matrix have been providing for
decades a formidable tool in the detection of linear lattice imperfections and
their correction. Basically all storage-ring-based synchrotron light sources
across the world make routinely use of this technique in their daily operation,
reaching in some cases a correction of linear optics down to 1% beta beating
and 0.1% coupling. During the design phase of a new storage ring it is also
applied in simulations for the evaluation of magnetic and mechanical
tolerances. However, this technique is known for its intrinsic slowness
compared to other methods based on turn-by-turn beam position data, both in the
measurement and in the data analysis. In this paper analytic formulas are
derived and discussed that shall greatly speed up this second part. The
mathematical formalism based on the Lie algebra and the resonance driving terms
is extended to the off-momentum regime and explicit analytic formulas for the
evaluation of chromatic functions from lattice parameters are also derived. The
robustness of these formulas, which are linear in the magnet strengths, is
tested with different lattice configurations.
