Dear John,

At last!  Congratulations!  You go to
the top of the class and put all those
youngsters to shame!!

> ... a north-facing wall on the
> Arctic Circle at the summer
> solstice, or a south-facing wall
> on the Antarctic circle at the
> summer solstice down under.

The analysis is easy...

When sun is due east (or due west)
its hour-angle H is given by:

  cos(H) = -tan(dec)/tan(latitude)

Here H is hour-angle since midnight.

[Some obvious constraints apply; the
sun is rarely due east on the equator
for example.]

At the summer solstice on the arctic
circle H = 100.83 degrees or 6.72 hr.
Accordingly, the north side of the
wall gets twice this, or 13.44 hours
of sun, in a 24-hour period.

No tricks or other sleights of hand
are needed!

You all still have four days left
to go to the arctic circle to check
this!

Frank


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