I'm analyzing the free decay of a pendulum à la Siegel [AJP 76 (10)
956.]
However, the pendulum has such a large Q (few hundred => ~2k) that I
must average over several data points. Since the necessary values
are the speed squared there are two orders. One to average the
squared speeds and tother to square the averaged. The difference is
not large as over most of the decay the loss is rather small. [Which
is why I must average!] Also the factor of interest is the
difference between the squared points (speeds). So the question,
which is the correct order, if there is one?