Re: (d/dt) ACCELERATION

[William Beaty <billb@ESKIMO.COM>]

On Thu, 12 Oct 2000, David Bowman wrote:
> The contribution to the 3rd time derivative of the mass quadrupole moment
> by the motion of a given particle will have a part that is proportional
> to the particle's jerk rate (in addition to other terms that go like
> its acceleration, velocity, etc.).

Quick note here: I recently saw the list of terminology for higher order
terms associated with those time derivatives.  From the sci.physics FAQ:

    Q: what is the term used for the 3rd time deriv of position?
    http://www-hpcc.astro.washington.edu/faq/physics/jerk.html

0 position
1 speed
2 acceleration
3 jerk (or jolt)
4 jounce (or snap)
5 crackle
6 pop

:)

It also suggests "Newton's Fourth Law", Y=mJ, or Yank equals mass times
Jerk:

   Now class, repeat after me...
  "Momentum equals mass times velocity!
   Force equals mass times acceleration!
   Yank equals mass times jerk!
   Tug equals mass times snap!
   Snatch equals mass times crackle!
   Shake equals mass times pop!!

If Nature abhors an infinity, then perhaps none of these can ever be
infinite except in the case of stepwise "quantum leaps."


> Of course this whole line of reasoning ignores any possible relevant
> quantum effects that might serve to limit the jerk and/or the
> acceleration in addition to the classical radiation effects discussed
> here.

Yeah, charged particle eccentric orbits ("collisions") would only follow
classical EM at low energy levels, no?  Where they emit radio frequency
photons rather than gamma ray photons?  Or maybe we could view it as a
matter of particle diameter and closeness of approach, since closeness of
approach would be proportional to the KE involved.  If two protons
approach within LESS than the classical particle diameter of each other,
the interaction would certainly not be described by a simple EM repulsion
force, and the trajectories would not be conic sections.  The higher the
MeV involved, the more important becomes the snap, crackle, and pop!

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