[time-nuts] Name of integral of timing residual

Jim Palfreyman jim77742 at gmail.com
Thu Apr 20 01:17:50 EDT 2017


Folks,

I'm after the formal name of something (if it exists), and this group, if
any, should know.

Consider a plot of a timing residual vs time. Say a watch against a maser,
residual=watch-maser.

Now if I now plot the cumulative sum (think integral) of the residual,
that's going to give me an overall view of how the clock is performing over
time. (If it helps, think of PID controllers and how they work in the "I"
part.)

Now if you look at *motion* of an object over time, and you integrate its
acceleration you get velocity, integrate again you get displacement.
Integrate again and you get "absement" and again you get "abcity" (I only
recently discovered these terms).

Does the integral of a timing residual have a name, and does the integral
of *that* have a name as well?

Any thoughts?


Jim Palfreyman


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