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I wrote:
> I also solved for time and position:
> 
> 17:07:18.5 S16°45.55' W151°29.80'  initial values
> 17:05:54.8 S16°30.65' W151°53.78'  Hirose solution
> 17:06:04.9 S16°22.4'  W151°53.8'   Couëtte "Second Solution"
> 
> Kermit's solution makes the observed and computed lunar distances 
> virtually identical. That's good. But the observed Sun altitude is 3.8' 
> less than the computed value, and the Moon altitude 3.9' less.

No matter how carefully I write a message, when it arrives in my in-box
I usually see something to criticize. In this case, I did not notice
that those altitude intercepts are equal to the dip. That is confirmed
in Kermit's reply. He forgot to include height of eye. My solution with
the same inputs:

17:06:05.8  S16°22.41' W151°53.96'

This is very close (.9 s, .15 NM) to Antoine's "Second Solution".

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