  Non-spherical particles transported by turbulent flow have a rich dynamics
that combines their translational and rotational motions. Here, the focus is on
small, heavy, inertial particles with a spheroidal shape fully prescribed by
their aspect ratio. Such particles undergo an anisotropic,
orientation-dependent viscous drag with the carrier fluid flow whose associated
torque is given by the Jeffery equations. Direct numerical simulations of
homogeneous, isotropic turbulence are performed to study systematically how the
translational motion of such spheroidal particles depends on their shape and
size. Surprisingly, it is found that the Lagrangian statistics of both velocity
and acceleration can be thoroughly described in terms of an effective Stokes
number obtained as an isotropic average over angles of the particle's
orientation. Corrections to the translational motion of particles due to their
non-sphericity and rotation can hence be fully recast as an effective radius
obtained from such a mean.
