[time-nuts] Name of integral of timing residual

Bob kb8tq kb8tq at n1k.org
Thu Apr 20 07:20:06 EDT 2017



I think your “quest” to find the terms as they relate to motion is a pretty good
example of just how unusual these terms are. Once you go past displacement, 
they are hardly common vocabulary. My guess is that nobody has ever come
up with terms in the time domain that have made it into the common vocabulary
describing this stuff. 


> On Apr 20, 2017, at 1:17 AM, Jim Palfreyman <jim77742 at gmail.com> wrote:
> 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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