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Time derivatives!
And if I recall correctly
When the fuck could those possibly be useful? 😆🙃
Not sure about anything past crackle, but minimum snap trajectory is widely used in efficient path planning for quadcopters.
I can't even comprehend what something beyond jerk means in reality or how to even produce it by physical means
Well these are higher order derivatives, so they do have physical meaning but the latter ones are increasingly abstract and subtle from our normal earthly perspective.
If you think of a stable and perfectly circular orbit, that's a steady and constant acceleration. Then if you thrust to make it elliptical, you're changing the acceleration which can be measured as jerk. But then if that thrust itself is variable, you can measure its changes as snap. And then of course the rate of how much you change that is crackle, and so on.
If I was working with those concepts, I'd just start using numbers.
Like, acceleration is v2, jerk is v3, and so on.
These are n th order mathematical derivatives so I'm pretty sure physicists do something very similar to that whenever n matters.
IIRC the James Webb had/has max snap, crackle and pop tolerances. Not sure about these two.
Getting them just right is important for driverless cars learning to brake in a way that feels comfortable to humans
In aerodynamics I guess
They aren't useful. It is just scientists memeing. Any research that involves anything past jerk would be esoteric.
This explains the sounds when I move to get up, these days.
Is it snap? You might have to slow down your rate of jerk
Don't forget jitter, now!
Which one is jitter?
Jitter is a technical term for latency variations between Internet packets over time.
High jitter is bad for VoIP and online gaming and potentially streaming if the jitter is caused by packet loss and retransmits.
None of those, but I think a series of irregular jerks could be considered jitter.
So trump, elon and hegseth form a jitter?
I only know jitter as irregularity in data flow (e.g. network packets).
Jerk is sometimes called jolt though. Both terms seem fitting to me. Supposedly in roller coaster design, having too much jerk/jolt can be quite unpleasant for riders. Which kind of makes sense, if the acceleration varies too wildly I could see that making me sick.
I only know jitter from electronics as well, but it could be applied in mechanics as well. Iirc, jitter is the irregularities in the intervals in a periodic signal, like data transfer. But jitter will be present in anything with a period, it doesn't have to be digital signal. A jerk is a single action, so there is no period and there can be no jitter. A series of jerks could have a seemingly regular period, but when measured more accurately, the intervals between jerks will have small variances: jitter. Hence why imo a series of irregular jerks could be considered jittery.
Noone ever uses it that way though and I'm not even sure that I phrased it correctly, but because of the word "jerk" I find it a mildly fun play on words.
Wait, what. 🤩