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Louis and I have finished the Doniol sight reduction form.  It only calculates Hc and we have not worked on determining Zn yet.

An unusual method of multiplying "1-q" and Haversine LHA" uses the butterfly method.  The answer isn't exact but it is close enough.

Here it is- Doniol form

We probably should provide the butterfly method if guys don't want to use a calculator.

Lou