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    Re: "Lost Motion" Question
    From: George Huxtable
    Date: 2006 Jul 18, 03:49 -0500

    Frank wrote-

    it's interesting to note that
    | the earliest  references to backlash come from the 18th
    century --long before
    | the micrometer.  Supposedly because of possible differences in
    friction
    | between the index arm and  the arc, early quadrant users were told
    to make small
    | adjustments always in the  same direction.

    That seems plausible, in the early days of the Vernier, when index
    arms were long (18 inches, even!) and wooden, so therefore much less
    rigid than later, when they were always brass. Also, when the bearing
    of the arm pivot was a simple pin working in wood, it's easy to
    imagine stiction occurring there, particularly as the wood swelled or
    shrank with humidity, even with the best ebony. Error could then
    result, because the index mirror might then fail to follow small
    movements at the far end of the index arm. It could be minimised, to
    some extent, by always making the final adjustment in the same sense,
    but not eliminated.

    It's lost motion, just as we have been discussing with micrometers,
    but with a completely different origin. In later times, with chunkier
    all-metal instruments, I can't see such backlash affecting Vernier
    instruments significantly; but it would be interesting to find out
    what the recommendations were (see below) . The backlash we have been
    considering up to now has been confined to the micrometer mechanism,
    so I wonder whether 20th century Vernier sextants will be affected by
    backlash at all, if the pivot is kept in reasonable order.

    Lecky's "wrinkles", at a quick glance, doesn't seem to mention the
    matter, but Raper, "Practice of Navigation", 1864, dealing with
    finding index error, addresses it, saying-

    "In consquence of the spring or elasticity of the index-bar, the error
    will be different for the onward and the backward motion of the index.
    It has been recommended, therefore, to turn the tangent-screw right
    and left alternately, in making successive contacts, by which a
    partial compensation is obtained. This source of discrepancy is,
    however, effectively removed by taking all observations, including
    that for index-error, with the same motion of the index-bar. The
    onward motion being adapted as the most natural,  the tangent-screw is
    always employed to close the object and the reflected image, and is
    thus always turned in the same direction." It should be kept in mind
    that the tangent-screw, in those days, was no more than a mechanism
    which could be clamped and unclamped to the index arm to carefully
    control its motion, and played no part in the readout, which was done
    by the Vernier.

    George.

    contact George Huxtable at george@huxtable.u-net.com
    or at +44 1865 820222 (from UK, 01865 820222)
    or at 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK.


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