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    Re: HO 211 (Ageton) sight reduction accuracy
    From: Paul Hirose
    Date: 2019 May 12, 14:27 -0700

    On 2019-05-11 9:32, Robert VanderPol II wrote:
    > I was wondering if you would do the statistical analysis for a 1' of arc 
    table, no interpolation, no Sadler, with statistical results provided for LHA 
    0°-9°59', 10°-19°59', etc, up to 80°, then every 5° up to 90°?
    
    You didn't say anything about the precision of the tabulation, so I
    followed the format of the Bayless table, which also has a 1-minute
    interval. Its A function is given in whole numbers up to 85°. At that
    angle and beyond, precision increases to tenths. There's a corresponding
    change in the B precision.
    
    Also, you didn't mention any constraints on latitude and altitude, so
    I'll be consistent with my 2016 data: latitude 0 to 70, altitude 5 to 80.
    
    Statistics are root mean square altitude error, percentage of altitude
    errors greater than a half minute, maximum altitude error, root mean
    square azimuth error, percentage of azimuth errors greater than a half
    degree, and maximum azimuth error. For each range of meridian angle t, I
    generated 100,000 simulated observations and solutions.
    
    Maximum errors are statistical aberrations and can vary considerably
    from one run to another, even with no change to the parameters.
    
    alt     alt    alt   az     az     az
    RMS     >.5'   max   RMS    >.5°   max
    0.57'  39.30%  2.0'  0.86'  0.00%  0.4°  t 0-10
    0.56'  38.34%  2.1'  5.81'  0.70%  2.8°  t 10-20
    0.54'  36.91%  2.1'  6.09'  0.89%  2.3°  t 20-30
    0.54'  36.13%  2.2'  5.40'  0.76%  1.8°  t 30-40
    0.54'  36.09%  2.6'  5.01'  0.70%  1.5°  t 40-50
    0.55'  37.45%  2.6'  4.52   0.59%  1.3°  t 50-60
    0.60'  40.42%  3.7'  3.98'  0.48%  1.2°  t 60-70
    0.78'  48.55%  4.8'  3.24'  0.22%  1.0°  t 70-80
    1.37'  63.14%  11.6' 2.58'  0.04%  0.7°  t 80-85
    8.91'  85.77%  44.6' 5.91'  0.66%  1.0°  t 85-90
    

       
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