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    Re: Lunars
    From: Mike Hannibal
    Date: 2005 Dec 9, 21:34 +1100
    Frank,

    thank you for your positive words. I tried another set last night and experienced just what you suggested - two orders of error. I suspect that there is a quite practical reason as you suggest. My wife who knows me best suggests that last night it was brought about by my concern that I was about the lost Venus behind the house next door. This house is a half storey higher than my perch and Venus was mighty close to its roof.

    I will report my next set and see where I'm up to.

    Regards

    Mike

    Frank Reed <FrankReedCT@AOL.COM> wrote:
    You wrote:
    "Site # Error in Lunar Error in Lon
    2 0 min -0.8 min
    3 -0.4 min -11.6 min
    4 -1.3 min -37.5 min
    5 -0.2 min -7.3 min
    6 -0.1 min -2.0 min
    7 0 min -0.3 min
    8 -0.7 min -22.6 min

    From this I deduce a number of things. Firstly if my
    interpretation is correct I have a consistent tendency
    to not quite bring the bodies into tangency. This
    would be borne out by my sense that I had to try to
    bring things closer and that the bright "penumbra" for
    lack of a better word - around the moon caused me to
    prematurely assume tangency. Secondly I am horribly
    inconsistent.
    Does anyone have suggestions about judging tangency?
    Any other suggestions - other than practise - to
    improve matters."

    Apart from the 1.3' error, these are EXCELLENT results, and you should be
    very pleased with them. If the approximate standard deviation of your lunars is
    0.2 arc minutes or so, you're doing very well. Don't worry so much about the
    error in longitude. That's intrinsic to the method of lunar distances. If
    you could get angular altitude measurements! , as opposed to lunar distances, as
    accurate as this for ordinary LOP celestial navigation, the error in position
    (longitude, if the object is bearing east or west) would be the same as the
    error in observation, in other words less than 0.2 nautical miles, in most
    cases.

    So what about that 1.3' error? I find in my observations, that the errors
    seem to come from two sources. There is a seemingly irreducible scatter of
    observations with a small error and then there is a secondary source of error
    that's quite a bit larger and more common than I would expect from the
    distribution of the "small" error. Another way of putting this is to say that the
    error distribution has "fatter tails" than the expected normal distribution. That
    second source of error might be something as simple as a hand tremor that
    develops with fatigue. Varying your procedures --taking breaks, holding the
    sextant differently-- might remove those larger errors. But t! hat's just a
    guess... Could be anything!

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

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