I have not been able to figure out a plausible way to contort my watch arm
so that 12:00 noon faces my body.  You lost me at step 1.  

Jack Aubert


-----Original Message-----
From: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] On
Behalf Of Will Vaughan
Sent: Tuesday, October 18, 2011 7:58 PM
To: sund...@rrz.uni-koeln.de
Subject: Re: a reverse sundial for the blind

"Reverse sundial" is a clever phrase to describe the Boy Scout method
of finding north (which I call "Seton's rule" after the organization's
founder), since Seton's rule gives the wrong direction in general for
the same reason that an uninclined equatorial sundial tells the wrong
time in general: the Sun's motion is usually not parallel to the
horizon, so the Sun's hour angle is usually not equal to its azimuth
(plus a constant).

It seems to me, however, that if you inclined your watch, you could
use it as an equatorial sundial and more accurately find north. Here's
a method that might work (but that's also unfortunately less pithy
than Seton's rule): 1) Incline your watch arm at the local latitude
(note: I can't say "in the N/S plane"; this is the tricky part).
Assume 12:00 noon on your watch is facing your body. 2) Split the
difference between the current time and 12:00 noon on your watch. The
angle between this halfway point and 12:00 noon is the hour angle of
the Sun. 3) Awkwardly bend your other arm so that it's sitting on your
watch-wearing arm and pointing towards this halfway point. 4) Rotate
your body until you can feel the sun on your bent arm. (You may have
to tilt your hand if the declination of the sun is extreme). 5) Now
12:00 noon on your watch wearing arm faces south. If you have the
watch-wearing arm held out straight in front of your body you should
be facing north. If you're sighted, steps 3) and 4) are easier: hold
up a finger normal to the watch dial and use it as a gnomon; rotate
until your finger's shadow is opposite the halfway point.

Will
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