  We study the nonholonomic motion of a point particle on the Heisenberg group
around the fixed "sun" whose potential is given by the fundamental solution of
the sub-Laplacian. Unlike arXiv:1212.2713 where the variational problem is
studied we consider the equations of nonholonomic dynamics which are not
Hamiltonian. We find three independent first integrals of the system and show
that its bounded trajectories of the system are wound up around certain
surfaces of the fourth order.
