  In the paper asymptotic properties of functionals of stationary Gibbs
particle processes are derived. Two known techniques from the point process
theory in the Euclidean space R^d are extended to the space of compact sets on
R^d equipped by the Hausdorff metric. First, conditions for the existence of
the stationary Gibbs point process with given conditional intensity have been
simplified recently. Secondly, the Malliavin-Stein calculus was applied to the
estimation of Wasserstein distance between the Gibbs input and standard
Gaussian distribution. We transform these theories to the space of compact sets
and use them to derive a Gaussian approximation for functionals of a planar
Gibbs segment process.
