  A theoretical model for fractal growth of DLA-clusters in two- and
three-dimensional Euclidean space is proposed. This model allows to study some
statistical properties of growing clusters in two different situations: in the
static case (the cluster is fixed), and in the case when the growing structure
has a nonzero rotation around its germ. By the direct computer simulation the
growth of rotating clusters is investigated. The fractal dimension of such
clusters as a function of the rotation velocity is found. It is shown that for
small enough velocities the fractal dimension is growing, but then, with
increasing rotation velocity, it tends to the unity.
