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    Re: "Lost Motion" Question
    From: Bill B
    Date: 2006 Jul 17, 20:13 -0500

    Greg R wrote:

    > I think the best way to answer the question "scientifically" (at least
    > in the limited case of my 2 sextants) is to take a series of sights
    > with some done in the same direction, and some done "up and down" like
    > I mentioned earlier and compare the results.

    Some of this has been covered a year or two ago on the old list (check the
    archives) but there seem to names new to me on the list, so here goes.

    You can that with one or both limbs of the sun or moon, or superimposing a
    star if you are good at that.  (Probably more accurately than on a bouncing
    boat taking a series of traditional sights.) The dip part of a power or
    phone cable, flat roof top etc also work well.  You do not have to worry
    about distance of the object as all you are doing is comparing the figure
    arrived at in one drum rotation direction as opposed to the figure in the
    other. 

    Actually it is not quite that simple unless your eye and sextant are precise
    and accurate to the sub-0.1' level. A better, IMHO, method is to establish a
    range where you perceive alignment (touch and leave) for each each direction
    and establish the midpoints as absolute alignment. Use a figure just below
    "leave" as the upper range limit along with touch to establish alignment
    range and midpoint for each direction. Compare the midpoint from each
    rotation direction.

    You might be surprised (or not) with the range that a 3.5-4 power scope and
    your eye perceive as aligned even with a black power line a against a light
    blue sky, or roofline on the side in shade vs. a bright sky.

    Following is an  excerpt from a PDF (or at least it once was a PDF)
    available on David Burch's Starpath web site:

    http://www.starpath.com/index.htm

    Path to >celestial navigation >Instruments >Davis Plastic Sextants >How to
    Optimize Plastic Sextant Sights

    =====================================================

    "An ideal sextant has a very positive action of the micrometer drum, meaning
    no slack in the gears. Turn it to the right by 1¹ and immediately the angle
    increases by 1¹. Stop and turn it to the left and it immediately starts to
    go down. A good metal sextant in good condition will behave properly in this
    regard. Plastic sextants, on the other hand, tend to have a bit of slack in
    this mechanism, consequently we get slightly different results when turning
    to the right to achieve alignment as opposed to turning to the left to
    achieve the same alignment. This is a well known issue with plastic sextants
    and it is mentioned in the manuals for the Davis Mark 15 and Mark 25 plastic
    sextants (it does not apply to the more basic Mark 3 model which does not
    have a micrometer drum.

    But there is more to this story. We cannot investigate slack in the gears
    without some means of observing the effects of our rotation of the drum. In
    other words, we have to decide what is or is not in alignment once we rotate
    the drum. An obvious time to study this effect is during the index
    correction (IC) measurement, which is typically done with the sextant set to
    0° 0.0¹ while viewing a distant sea horizon. (Note that there are other,
    probably even more accurate, means of measuring the IC ‹ and gear slack ‹
    but for now we discuss only the more common IC method of using the horizon.)

    The sea horizon is the most convenient and most commonly used method, but
    for precision work it has the limitation of not often presenting a perfectly
    sharp line between sky color and sea color. Look very carefully at the best
    horizon and you often see ‹ or at least appear to see ‹ a very narrow line
    of some other color right at the horizon, or some other slight disruption of
    a perfect line. Consequently, even when we have a perfect sextant with no
    gear slack at all, we can still get the appearance of a slight gear slack
    because the imprecision of the reference line leads to some variance from
    sight to sight in what the observer might call "perfectly aligned." The
    amount of this variance will depend on the nature of the horizon, the skill
    of the observer, the power of the telescope, and with the sextant model. A
    6- or 7- power scope is better for IC checks than the 4-power scopes which
    are standard on most sextants, and this effect is naturally larger when
    viewed in the 2-power scopes on plastic sextants.

    Here is a procedure for investigating this effect:

    First remove the side error of the sextant by adjusting the horizon mirror
    until you can rock (roll) the sextant set at 0°0¹ and not detect any
    splitting of the horizon. Many texts (and Bowditch, of course) explain the
    procedure. This may also require some collateral adjustment of the index
    mirror. With plastic sextants we have found that it is often useful to give
    each mirror housing (not the mirror itself) a bit of a flick with the finger
    to help the seating of the mirrors before and after the adjustments. If the
    flick changes things, you have to keep working on it. (Don¹t flick it any
    harder than you would flick your own nose!)

    Then with the sextant set to 0° 0.0¹, view the horizon and turn the drum
    "toward" you (clockwise, angle decreasing) to clearly separate the two
    horizons viewed directly and by reflection. Then slowly turn the drum "away"
    from you (counterclockwise, angle increasing) until the horizons just first
    appear as a smooth straight line, which is what we call in alignment. Be
    sure to sneak up on this very slowly so you do not overshoot the alignment.
    We want the reading just as they first become aligned.

    Confirm that you are aligned by panning (yawing) the sextant right and left
    a bit to verify that there is no motion along the horizon. This is a more
    accurate method than just looking straight at it and concluding it is
    aligned. If you are just very slightly unaligned, you will notice a slight
    bump moving right and left at the intersection of the two views, direct and
    reflected. Once confirmed, record the IC reading to the nearest 0.1¹ and
    label this IC measurement with an "A" to note that you were turning the drum
    in that direction and a "touch" to note that this was the setting for the
    first touch of the two horizon views in alignment. If you have overshot the
    alignment, start all over again.

    Now to continue, first double check your notes to confirm which way you are
    turning and think through the motion, then very slowly and carefully
    continue turning in the away direction until you can first detect that you
    are no longer aligned. Again, this is best done by doing a slight rotation
    then panning the horizon, then another and another pan, until you can detect
    some motion along the horizon which indicates that you are no longer
    aligned. Then read and record the new IC and label it with "A" and "leave,"
    meaning this was the value when you left the alignment.

    Repeat this 5 or 6 times in the away direction and then do the same in the
    toward direction. This type of measurement will show what we are up against.
    You have effectively measured the angular width of "perfect alignment." With
    a metal sextant and a sharp horizon, the touch and leave values will
    typically differ by only a few tenths, which reflects our limits on locating
    the horizon precisely. Put another way, if we just randomly set the sextant
    to alignment on a series of sights, we could fairly expect to get at least
    this level of spread in the values we measured, since anywhere between
    "touch" and "leave" gives the same appearance of alignment.

    More to the point at hand, however, is that with a metal sextant, the spread
    in the touch and leave values will show little if any difference when
    measured in the toward or away direction. With a typical plastic sextant
    this is not the case. Not only will you detect larger spreads in the touch
    and leave values, you will most often note a significant difference in the
    IC values measured in the toward and away directions, which is a measure of
    the slack in the gears ‹ or, if not that, at least some measure of the
    general behavior of the device (the actual worm gear in the plastic sextants
    is metal, but it seats into notches in plastic)." --David Burch

    Bill




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