I agree.  I have a polar dial with an equinox line and I see this every
equinox. It's not that subtle.  You can see it easily over just a few hours.


-----Original Message-----
From: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] On
Behalf Of Frank King
Sent: Wednesday, September 23, 2009 1:39 PM
To: Roger Bailey
Cc: sundial@uni-koeln.de
Subject: Re: Equinox and Equatorial Rings

Dear Roger,

It is good of you to remind us of the bronze
ring set in the Square Hall of Alexandria.

You add...

> You can repeat this experiment on any
> correctly aligned equatorial sundial
> or armillary sphere.

You can in fact undertake the essentials
of the experiment using ANY sundial equipped
with a nodus and an equinoctial line.

When I was setting up the Pembroke Sundial
in 1997, I spent a lot of time tracing the
path of the shadow of the nodus across the
dial and comparing the observed results
with my calculations.

For each day's observations I assumed the
declination at noon held good all day.
Observed results and calculated results
matched pretty well during June and July
and I became complacent.

At the autumnal solstice, observed results
and calculated results didn't agree so well.
I was puzzled by this at first.  Then I
appreciated the obvious.  The declination
is changing so rapidly at the equinoxes
(about 1 minute an hour) that you can
no longer assume the declination at noon
holds good all day.

Contrary to what simple sundial guides tell
you, the shadow of a point cast onto a plane
DOESN'T follow a straight line on the day of
an equinox.  It actually follows an S shape,
albeit a very narrow S.

Have a good winter.

Frank

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