  We present a new model for multi-agent dynamics where each agent is described
by its position and body attitude: agents travel at a constant speed in a given
direction and their body can rotate around it adopting different
configurations. In this manner, the body attitude is described by three
orthonormal axes giving an element in $SO(3)$ (rotation matrix). Agents try to
coordinate their body attitudes with the ones of their neighbours. In the
present paper, we give the Individual Based Model (particle model) for this
dynamics and derive its corresponding kinetic and macroscopic equations.
