  We present a new dynamical approach for measuring the temperature of a
Hamiltonian dynamical system in the micro canonical ensemble of thermodynamics.
We show that under the hypothesis of ergodicity the temperature can be computed
as a time-average of the functional, div(grad H/|grad H|^2), on the
energy-surface. Our method not only yields an efficient computational approach
for determining the temperature it also provides an intrinsic link between
dynamical systems theory and the statistical mechanics of Hamiltonian systems.
