Dear Frank,

As ever, you prompt several interesting
trains of thought...

> In fact any run-of-the-mill astro-navigator
> with a merely passable sextant could at
> least manage an accuracy of a minute of
> arc...

I have never used a sextant but I have
heard this arc-minute figure so many
times I am willing to believe it!

> ...or four seconds of time.

Careful here!  Most of the year the sun
goes round in a small circle so an
arc-minute change in position takes
longer than four seconds.

Also, I am not sure what angle you
are measuring?  You can't mean the
solar altitude.  That doesn't change
anything like an arc-minute in 4s
where I live!

> For a really accurate dial could the
> east or west limb of the sun be 
> projected and utilised?

Well you can project the whole solar
disc using a continental camera
obscura sundial and thereby see
both east and west limbs of the
sun.

I have observed transit at the
Basilica di S. Maria degli Angeli
in Rome many times, sometimes with
enthusiasic Italian diallists
adding to the fun!

Each diallist shouts "Ora" [Now]
at what he perceives to be the
critical moment and the chorus
lasts two or three seconds, so
that's an observational error
for a start.

The very first time I did this,
I noted the time of the middle
"Ora" on my radio-controlled
watch and did the reductions.
This includes allowing for the
difference between UTC and UT1.

It was pretty good, the error
was about 3.5 seconds.

Alas, I have done this many
times since and noted errors
of up to 10 seconds.

There are too many things to
go wrong...

Mario Catamo says that you get
a build-up of muck on one side
of the hole which shifts the
apparent centre.  There would
need to be a lot of muck to
account for 10 seconds though!

I believe the line isn't quite
north-south but since I always
go at much the same time of
year the error should be
consistent!

That said, I think 10 seconds
is pretty good.

Frank

Frank King
Cambridge, U.K.

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