We discuss gravitational radiation from a neutral mass particle within
a bound orbit in the background Schwarzschild metric. We compare the
power loss of gravitational radiation according to this formalism with
the heuristic quadrupole radiation formula as applied to a binary sys
tem. There am evidence and compelling reasons to believe that the quad
rupole formula is valid even in a fairly strong gravitational field, a
lthough its fully consistent analytical derivation is not yet known. I
n particular, we emphasize that the application of the quadrupole form
ula to the binary pulsar system PSR 191.3+16 as well as other binary p
ulsars, which are weakly bound by gravity, is well justified.