Hi John & All,

While the rainbow contributions flashed in, I was pondering how to retrieve a 
Scientific American article on the theory of the rainbow I vaguely 
remembered to have seen long ago. Most easily, I suddenly realized, through 
the web.

So I found this wonderful page:
http://www.unidata.ucar.edu/staff/blynds/rnbw.html

which included in the references section the one I was looking for:
Nussenzveig, H. Moyses, "The Theory of the Rainbow", Scientific American 
236 (4), 116-127, April 1977

Regards, Frans
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Date sent:              Wed, 10 Jan 2001 10:42:03 -0700 (MST)
To:                     sundial@rrz.uni-koeln.de
From:                   [EMAIL PROTECTED] (John Carmichael)
Subject:                telling time by rainbows

> Hello dialists,
> 
> Yesterday, I was able to tell the time by noting the position of a rare
> Tucson rainbow!
> 
> I was washing the dishes and looking out the north facing kitchen window
> around midday (I didn't know the time exactly though), and saw the
> beautiful arch of a rainbow low near the horizon.  I thought that's odd,
> because whenever I've seen a rainbow, it's been in the afternoon or
> morning when the sun is low in the sky.
> 
> (The reason you only see rainbows when the sun is low is because when you
> view a rainbow, the sun is located directly behind your head.  A line
> drawn from the sun through your head leads to the center of the circle of
> which the rainbow is just a segment.  If the sun is too high in the sky,
> the rainbow disappears below the horizon.  This is why you can often see a
> complete circular rainbow from an airplane because there are raindrops
> below the plane.  On the ground there are only raindrops above you).  The
> reason I could see a rainbow at midday is because the sun is low in the
> sky at midday only near the winter solstice! This pushes the visible part
> of the rainbow up above the horizon.
> 
> This rainbow geometry means that the center of the rainbow lies directly
> below the crest or the top of the rainbow.  Therefore the crest of the
> rainbow is located at the same azimuth as the sun plus 180 degrees.
> Anotherwords, if the sun is due south then the rainbow's crest is at due
> north.
> 
> Now, I already knew the exact location of north on the horizon from
> previous experience and could therefore guesstimate the position of the
> north/south meridian. Using my hand as a degree measurement tool, I saw
> that the rainbow crest was located 15 degrees west of due north.  That
> meant that the sun was located 15 degrees east of due south. If the sun
> moves towards the west at 15 degrees per hour, then it must be an hour
> before high (apparent) noon. In Tucson, high noon is at 12:24 because of
> longitude correction. The rainbow said that it was an hour before high
> noon, or 11:24 (more or less because I didn't correct for the Equation of
> Time).
> 
> And guess what, I turned around and looked at the kitchen clock and it
> said 11:30!!!
> 
> Makes washing those dishes a little more fun!
> 
> John Carmichael
> Tucson AZ
> 
> p.s. Does this mean that earth is itself a sundial, and the raindrops are
> the gnomon?
> 



------------------------------------------------------------
    Dr. Frans W. Maes
    Dept. of Animal Physiology
    University of Groningen
    P.O. Box 14                Tel.  : +31-50-3632357
    9750 AA Haren              Fax   : +31-50-3635205
    The Netherlands            E-mail: [EMAIL PROTECTED]
    Visit my homepage at:      http://www.biol.rug.nl/maes/
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