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    Re: Measure of All Things
    From: George Huxtable
    Date: 2003 Oct 4, 21:02 +0100

    Within a great deal of sense, Trevor Kenchington recently said-
    
    >Any sextant has some (though usually very
    >little) slop in its micrometer screw thread, else that thread would lock
    >in the one cut in the arc. That slop will produce a random error in
    >observed altitudes.
    
    I wish to quibble about that (and only that) minor part of his mailing.
    
    What he says would be the case if the worm, and the rack, of a micrometer
    sextant both had straight-cut teeth, like castellations. But I doubt if any
    do. Perhaps others can advise about that. Even my plastic sextant has
    pointed teeth, with faces angled at about 45 degrees, on both the rack and
    the worm. The two components are pressed firmly together by a spring, so
    both faces are forced to kiss, in intimate contact. If implemented well,
    the design virtually eliminates slop from that source. I've always thought
    that all modern sextants were like that.
    
    What remains, however, is the possibility of a slight movement, along its
    own axis, of the worm, with respect to the index arm as its direction of
    movement is reversed. Its pivot is designed with end-bearings that have as
    little slop as possible, to minimise that lost-motion. Also, a spring is
    usually fitted, to bias the worm in a favoured direction and press it
    against one of those bearings, which will work well enough unless any
    stiffness in the index-arm movement grows to rival the strength of that
    spring.
    
    However, I don't claim to be any sort of expert on modern sextants: perhaps
    others can confirm (or indeed contradict) what I've said above.
    
    After all that, I expect every navigator worth his salt to adjust his
    sextant with the final touch being always in the same direction.
    
    ===================
    
    On that point, Jared Sherman added-
    Bearing in mind, if the user always turned the screw the same way (i.e.,
    >past then back, >past then back, or opposed to "this way" or "that way")
    >then there should be less slop >and the errors would fall to one side of
    >the possible range, rather than spread to both >sides of it, no?
    
    Well, not as it appears to me, no it doesn't.
    
    True, adopting such a policy certainly reduces the range of such errors.
    It's the right thing to do, without a doubt.
    
    However, the resulting altitude from a sextant measurement is the
    difference between the best-estimate scale reading corresponding to the
    observed altitude of the body, less the best-estimate scale reading
    corresponding to the index error. If both those measurements have been made
    as well as possible, this difference will scatter equally either side of
    the true average, with no preference for one side or another. Adopting
    Jared's measurement method, the amount of that scatter will be less.
    
    George.
    
    
    ================================================================
    contact George Huxtable by email at george@huxtable.u-net.com, by phone at
    01865 820222 (from outside UK, +44 1865 820222), or by mail at 1 Sandy
    Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK.
    ================================================================
    
    
    

       
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