The Burnett constitutive equations for the dynamic pressure, heat flux and
pressure deviator are obtained from the relativistic Boltzmann equation by
using fourteen moment equations and an iteration method akin to the Maxwell
ian iteration procedure of the non-relativistic theory. The non-relativisti
c and ultra-relativistic limits of all Burnett coefficients are given and i
t is shown that the non-relativistic limit of the Burnett constitutive equa
tions agree with those obtained from the non-relativistic Boltzmann equatio
n.