  We generalize the Weinstein-Moser theorem on the existence of nonlinear
normal modes (i.e., periodic orbits) near an equilibrium in a Hamiltonian
system to a theorem on the existence of relative periodic orbits near a
relative equilibrium in a Hamiltonian system with continuous symmetries.
  More specifically we significantly improve a result proved earlier jointly
with Tokieda (math.SG/9901102): we remove a technical hypothesis which amounted
to an assumption that the symmetry group is a torus.
