  The close agreement between the predictions of dynamical general relativity
for the radiated power of a compact binary system and the observed orbital
decay of the binary pulsars PSR B1913+16 and PSR B1534+12 allows us to bound
the graviton mass to be less than 7.6 x 10^{-20} eV with 90% confidence. This
bound is the first to be obtained from dynamic, as opposed to static-field,
relativity. The resulting limit on the graviton mass is within two orders of
magnitude of that from solar system measurements, and can be expected to
improve with further observations.
