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Re:       Question on Lunars

From: Frank Reed (no email)
Date: Wed Oct 27 2004 - 20:29:27 EDT

  • Next message: Alexandre Eremenko: "Re: Lunar eclipses and other things"

    Bruce S wrote:
    "But even if a shorter interval had been used, there would have been a
    problem in clearing short distances. Most, if not all, of the popular methods of
    clearing were what we call "approximate." That is, they calculated a set of
    corrections to apply to the apparent distances. The calculations were based on some
    not-exactly-true assumptions. A final correction took care of this. When the
    distance got short, this final correction got a bit wild."

    The erroneous, archaic expression 'approximate' for these methods refers to a
    series expansion. The series expansion and the direct triangle solution are
    identical to any desired degree of accuracy. It is simply not true that these
    methods were based on 'not-exactly-true assumptions'. They had limits of
    applicability like any other practical calculation. It was not difficult to extend
    them to shorter distances, but shorter distances were avoided for other
    reasons, specifically the non-linear interpolation which Bruce already mentioned but
    also the greater requirements for accurate altitudes at those shorter
    distances.

    Frank R
    [ ] Mystic, Connecticut
    [X] Chicago, Illinois


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