  Conventional wisdom had long held that a composite particle behaves just like
an ordinary Newtonian particle. In this paper, we derive the effective dynamics
of a type-I Wigner crystal of composite particles directly from its microscopic
wave function. It indicates that the composite particles are subjected to a
Berry curvature in the momentum space as well as an emergent dissipationless
viscosity. Therefore, contrary to the general belief, composite particles
follow the more general Sundaram-Niu dynamics instead of the ordinary Newtonian
one. We show that the presence of the Berry curvature is an inevitable feature
for a dynamics consistent with the dipole picture of composite particles and
Kohn's theorem. Based on the dynamics, we determine the dispersions of
magneto-phonon excitations numerically. We find an emergent magneto-roton mode
which signifies the composite-particle nature of the Wigner crystal. It occurs
at frequencies much lower than the magnetic cyclotron frequency and has a
vanishing oscillator strength in the long wavelength limit.
