View Single Post
  #37   Report Post  
Old August 5th 17, 10:24 PM posted to uk.radio.amateur,uk.rec.models.engineering,rec.radio.amateur.homebrew
rickman rickman is offline
external usenet poster
 
First recorded activity by RadioBanter: Nov 2012
Posts: 989
Default A mechanical phase locked loop!

Gareth's Downstairs Computer wrote on 8/5/2017 3:14 PM:
On 05/08/2017 20:06, rickman wrote:

Yes, because it *is* a PLL. In fact the problem most people have with it
is that it doesn't adjust the phase by adjusting the frequency of the
slave. It adjusts the *phase* so clearly it *is* a phase locked loop.


All pendulums have circular error where the frequency is determined by
the amplitude of swing,


All *uncorrected* pendulums have circular error. The Fedchenko clock has a
mounting spring for the pendulum that corrects for circular error.


so for the half cycle where the phase is adjusted by
abridging the swing by the hit of the hit and miss stabiliser, the frequency
of the slave is, indeed, changed.


This has nothing to do with the circular error.


The standard formula given for the cycle time of pendulums ..

2 * PI * root( L / G)

... is only valid for those small angles where sin( theta ) = theta,
and such angles are so infinitesimal that no visible movement
of a pendulum would be seen!


This equation is an approximation which ignores the higher terms of the
power series of the full equation. It is only truly valid for no swing at all.

--

Rick C