Dear Gianni,

You are truly wonderful!  You have, come sempre,
solved the problem!

We have all these people on the English list wondering
about PL and we have to wait for you to interpret our
English!

I didn't think of the Geocentric Latitude and I certainly
didn't think of the Reduced Polar Latitude but your
calculations point to that conclusion.

Your figure of  f = 1/298.257  is used by Meeus but would
not have been known in 1845.  I agree that 1/280 is the
value most likely used.

You win the prize for solving this puzzle!

Very best wishes

Frank

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