  We continue the study of linear families of contact forms on 3-manifolds
begun in our paper `Contact geometry and complex surfaces'. The present paper
introduces Teichmuller and moduli spaces for so-called taut contact circles. By
constructing a developing map for taut contact circles, we show that these
geometrically defined deformation spaces are equivalent to certain spaces of
representations of the fundamental group in appropriate Lie groups.
Furthermore, we relate these deformation spaces to `classical' Teichmuller
theory of Riemann surfaces and orbifolds.
