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Kent, you wrote:
"Yes I agree that it is so in most practical cases. On the other hand, if
you would like to do an exact reproduction of the old method , as I have
tried to do, the problem with earth oblateness should not be ignored."

Well, it depends on what you're trying to reproduce: REAL historical
practice, or textbook models of historical praactice?

And:
"I don't know Chauvenet. Can you enlight me please."

Chauvenet wrote a textbook in spherical and practical astronomy (which you
can find on googlebooks or by following the link here:
http://www.fer3.com/mystic2008/navbooks1.html (dozens of old navigational
books indexed). You don't need to understand Chauvenet's rather unusual
method of clearing lunars but if you insist on doing oblateness, the account
here is clear and simple (he did not invent it).

And you wrote:
"I have started looking at your LD prediction program and, in due time, I
will run my test cases in your model to compare. It should be rather
interesting because I think I have a rather good precision in my way to
calculate."

No YET you don't. But undoubtedly soon you will. :-)

 -FER

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