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    Re: Freiberger Trommelsextant errors
    From: Bill B
    Date: 2012 Apr 16, 04:35 -0400

    On 4/16/2012 2:56 AM, Jared wrote:
    
    > I struggle to understand the geometry, how in some instruments very
    > recently cited on the List, the error owing to eccentricity can
    > accumulate so regularly as the worm travels the limb from O deg to 120
    > deg, that when plotted the change resembles a sine wave. If this trouble
    > is described in Bill Morris's book, I can't find it.
    >
    > Is the worm defective? Are the teeth on the limb spaced improperly?
    > --Jared
    
    Thank you Jared for raising some excellent questions.
    
    About a half decade ago Frank Reed proposed a method for testing
    drum/worm gear eccentricity. I had tested his method extensively, and it
    seemed quite viable.
    
    In my limited experience the errors along the arc are not a sine--or any
    other wave.  They come and go at their own pace.  For example, my Astra
    IIIB easily beats its advertised plus/minus 20" along-the-arc-error
    specs consistently--except near the 90d position--where it is almost a
    minute off.  Both Alex and I have verified this with multiple
    star-to-star measurements against predicted distances calculated the nth
    and the worlds best sextant--his SNO-T ;-)
    
    Past possible worm gear problems, if I understand you seem to add two
    other variables, stated or unstated. Is the arc a perfect section of a
    circle (eccentricity)?  If it were, are the teeth cut into that
    arc--making it a gear--spaced evenly (or of uniform height?
    
    Bill B
    
    
    
    
    
    

       
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