  The critical current and melting temperature of a vortex system are analyzed.
Calculations are made for a two dimensional film at finite temperature with two
kinds of periodic pinning: hexagonal and Kagom\'e. A transport current parallel
and perpendicular to the main axis of the pinning arrays is applied and
molecular dynamics simulations are used to calculate the vortex velocities to
obtain the critical currents. The structure factor and displacements of
vortices at zero transport current are used to obtain the melting temperature
for both pinning arrays. The critical currents are higher for the hexagonal
pinning lattice and anisotropic for both pinning arrays. This anisotropy is
stronger with temperature for the hexagonal array. For the Kagom\'e pinning
lattice, our analysis shows a multi stage phase melting; that is, as we
increase the temperature, each different dynamic phase melts before reaching
the melting temperature. Both the melting temperature and critical currents are
larger for the hexagonal lattice, indicating the role for the interstitial
vortices in decreasing the pinning strength.
