  We study the properties of the covariant supersymmetric and kappa-symmetric
action for a system of N nearly coincident M0-branes (mM0 system) in flat
eleven dimensional (11D) superspace and obtain supersymmetric equations for
this dynamical system. Although a single M0-brane is the massless 11D
superparticle, center of energy motion of the mM0 system is characterized by a
nonnegative constant mass M constructed from the matrix fields describing the
relative motion of mM0 constituents. We show that a bosonic solution of the mM0
equations can be supersymmetric iff this effective mass vanishes, M=0, and that
all the supersymmetric bosonic solutions preserve just one half of the 11D
supersymmetry.
