  We modify the recent analytic formula given by Allen and Casper for the rate
at which piecewise linear cosmic string loops lose energy to gravitational
radiation to yield the analogous analytic formula for the rate at which loops
radiate momentum. The resulting formula (which is exact when the effects of
gravitational back-reaction are neglected) is a sum of O(N^4) polynomial and
log terms where, N is the total number of segments on the piecewise linear
string loop. As illustration, we write the formula explicitly for a simple
one-parameter family of loops with N=5. For most loops the large number of
terms makes evaluation ``by hand" impractical, but, a computer or symbolic
manipulator may by used to yield accurate results. The formula has been used to
correct numerical results given in the existing literature. To assist future
work in this area, a small catalog of results for a number of simple string
loops is provided.
