The gravitational wavetrain can be integrated numerically for our model problem to obtain the exact answer. The rate of energy emission is given by:

We show the exact, integrated wavetrain in the next two movies. The bottom graph in the lower two panels shows the entire wavetrain, while the graph in the upper right hand corner corresponds to a blowup of the wavetrain.

The early portion of the oscillation.

The later portion of the oscillation.