Doug,

I didn’t answer your second question: 
"Assuming that in 1850s I had access to a good transit telescope, and a 
reasonable clock (daily errors about 1 second a day), how would I refine the 
quarter of a day into several decimal places?”

The formula is:
Year = (1 day – transit time difference) / transit time difference



Mike Shaw
53º22’N  3º02’W

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