  We consider a burst of quadrupole gravitational radiation in the presence of
a large static mass $M$ situated at its source. Some of the radiation is
back-scattered off the static field of the large mass, forming a wave tail.
After the burst, the tail is a pure incoming wave, carrying energy back towards
the source. We calculate this energy, and, in a numerical example, compare it
with the outgoing wave energy. If $M$ is sufficiently large the incoming energy
can equal the outgoing energy, indicating that the primary outgoing wave is
completely suppressed.
