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    Re: Nautical Almanac Moon Correction Tables
    From: Frank Reed CT
    Date: 2006 Jul 26, 18:42 -0500

    I found a slightly shorter approach to this  calculation. If you do the SD
    correction after the parallax, the augmentation  cancels out. Here's the  code:

    ----------------------------------------------
    kk = 180 /  3.141593

    'Mean Horizontal Parallax:
    HP0 = 57.7
    'Ratio of Moon's  mean SD to HP0. Again, 0.2724 would probably
    'be more acurate but this  matches the tables:
    SDcon = .2711
    'SD0 is the semi-diameter at the mean  Horizontal Parallax, HP0:
    SD0 = SDcon * HP0

    INPUT "HP:", HP

    FOR  h1 = 0 TO 89 STEP 1
    PRINT h1

    'The observed  altitude, h1, determines the refraction
    h2 = h1 - refr0(h1 / kk)  / 60

    'Add in parallax and mean semi-diameter
    h3 = h2 + HP0 * COS(h2 / kk) / 60 + SD0 / 60

    'The Lower  Table uses the average altitude from the upper column:
    havg =  2.5 + 5 * INT(h1 / 5)

    'h4 (LL/UL) is the increment in the  Moon's semi-diameter and
    'its parallax for the difference  between the actual HP and the mean
    'Horizontal Parallax,  HP0.
    dHP = (HP - HP0) / 60
    dSD = SDcon *  dHP
    h4 = h3 + dHP * COS(havg / kk)
    h4LL = h4 +  dSD
    h4UL = h4 - dSD

    'To keep the Lower Table  corrections always positive, add
    '5 minutes to the LL correction  and 35 to the UL correction.
    'To compensate, subtract 5 minutes  from the Upper Table.
    'Also subtract twice the mean  semi-diameter for the UL.
    UTcorr = 60 * (h3 - h1) -  5
    LTcorrLL = 60 * (h4LL - h3) + 5
    LTcorrUL = 60  * (h4UL - h3) - 2 * SD0 + 35

    'output the  results:
    PRINT "Upper Table Correction:     ";
    PRINT USING "###.##"; UTcorr
    PRINT "Lower  Table LL Correction: ";
    PRINT USING "###.##";  LTcorrLL
    PRINT "Lower Table UL Correction: ";
    PRINT USING "###.##"; LTcorrUL
    IF LEN(INKEY$) THEN EXIT  FOR

    SLEEP
    NEXT
    ---------------------------------------


    -FER
    42.0N  87.7W, or 41.4N 72.1W.
    www.HistoricalAtlas.com/lunars 


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