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Dear Joel,
Thank you for your comments.
Here are some pictures illustrating my report:
1. My preferred observation position:
http://www.math.purdue.edu/~eremenko/sailing/sext.jpg
(I try to be as close as possible to the center of
the ship rolling/pitching/yawing)
2. Attempts to photograph the waves:
http://www.math.purdue.edu/~eremenko/sailing/waves1.jpg
http://www.math.purdue.edu/~eremenko/sailing/waves2.jpg
(The waves never look as impressive on a photo as they are
in reality:-(
3. Typical weather during the trip:
http://www.math.purdue.edu/~eremenko/sailing/alex2.jpg
4. But sometimes it was like this:
http://www.math.purdue.edu/~eremenko/sailing/karina.jpg
http://www.math.purdue.edu/~eremenko/sailing/sail1.jpg
for example, on the day when I managed to calibrate my Bris
sextant (details on this sextant and my trials of it will
follow in a later message)
5. The boat (moored in Cowes) and its crew:
http://www.math.purdue.edu/~eremenko/sailing/karin2.jpg

> Also the limitations of the inverting scope in rough going.

With some experience and a good
helmsman it is perfect. I still tend to use it under all conditions,
though my straight one is OK too, especially after Freiberger put
some grease in it. If I had to choose only one scope, there is no doubt
that I'd choose the inverting one.

> I always
> took the sight standing and from the crest of a wave never the trough.

The boat I traveled in was a pretty large "small boat", 42 feet long.
So my sitting position on the top of the cabin roof was high enough.

I always took the sight from the crest of a wave, otherwise the horizon
is simply not vizible, as you can see on picture
http://www.math.purdue.edu/~eremenko/sailing/waves1.jpg
which was
taken in standing poisition from the cockpit.

Alex.

   

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