BobH wrote:
>> This would be an excellent project for time-nuts to verify.  First, a
>> better explanation of John Harrison’s method is in order.  A vertical
>> window edge is not sufficient - a second vertical reference at a
>> distance is required - Harrison used a chimney on a neighbor's house.

Agreed! The project is the perfect intersection of amateur astronomy and 
amateur timekeeping. Surely, a couple of people on the list could 1) attempt to 
verify the Harrison method, and 2) determine what the limits of its accuracy 
are, say, with little effort vs. with hard work vs. with extreme dedication.

JimL wrote:
> To get 1 second accuracy, you need 360/86400 = 0.004 degree 
> measurements. That's 0.073 milliradian - 1 cm  at 140 meter distance.
> 
> I'm not sure an "edge" is sharp enough (diffraction, etc.), although 
> your eye is pretty good at "deconvolving" the linear equivalent of an 
> Airy disk/rings.

Keep in mind too that one can take more than one star reading per night. Any 
identifiable star that crosses your edge is a recordable timing event that 
evening. So, in theory, if you measure N stars you get sqrt(N) improvement in 
accuracy per day.

I want to encourage anyone to study the problem and help solve the riddle, 
either by uncovering existing professional or amateur literature or by actually 
trying this at home. It boils down to how accurately can you measure earth 
rotation using the Harrison method.

To put this in time nuts context, precision timekeeping prior to the middle of 
the 20th century was always a form of "Earth Disciplined Oscillator". Not 
unlike a GPSDO, your observatory's pendulum clock kept accurate time short-term 
and star tracking (earth rotation) kept accurate time long-term. The ADEV's 
crossed just like a GPSDO.

The short-term ADEV of a really good pendulum clock is here:

http://leapsecond.com/pend/shortt/

The long-term ADEV of earth rotation is here:

http://leapsecond.com/museum/earth/

So the performance of a DIY earth disciplined oscillator would be a combination 
of the two.

/tvb


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