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    Re: Lunars
    From: Bill B
    Date: 2005 Dec 6, 17:01 -0500

    > ...I was
    > interested to see from your series that you too have a
    > tendency to get negative numbers. Though of course you
    > are much more accurate and consistent than I am.
    
    On a good day.  Practice and the insights that have come from the list
    are an enormous help.  Bauer's book notes "eye strain" in prolonged star
    shots--just pop out and do them.  The article Frank pointed out in September
    2005 "Sky & Telescope" was more to the point.  The more your pupil expands
    to dark adapt, the larger and less distinct a point source becomes (perhaps
    related to the circles of confusion in photography?). My reading of the
    above is that unless your are dealing with a dark and low contrast
    sky/horizon or popping up from a submarine to do night star shots, the less
    you dark adapt your eye (smaller aperture/pupil vs. larger aperture/pupil)
    the better off you are for star-to-star and lunars.  That bit of information
    has been a great help for me and greatly improved my standard deviations for
    lunars and star-to-star separation--more than any other prolonged
    experiments.
    
    > Thinking about this issue. I reckon that one of the
    > issues is that I was trying to bring the bodies into
    > contact, rather than trying to get the edge of the
    > moon to bisect Venus. This would then lead to an
    > underestimation of the distance.
    
    Yes. Note that most texts will point out that for planets with significant
    diameter you must split the body with the horizon. Our goal is to have the
    center of the body on the horizon.  Unlike the sun and moon, there are no
    tables for upper- or lower-limb corrections to compensate for using a limb
    instead of the center.  Only adjustments for phase (and perhaps parallax
    etc.?).
    
    In my case Venus was lower than the moon. With gloves on it was easiest to
    hold the sextant handle (down) in my right hand and steady with my left hand
    on a sextant leg. The Moon was viewed directly through the glass side.  To
    put it in another frame of reference, the moon's edge became my horizon and
    Venus the reflected body.  I know that as I turn the drum clockwise, the
    angle along the arc increases and the reflected image drops in relation to
    the direct view (of horizon, moon, etc.) It sounds like you were bringing
    the two images together, so turning in a clockwise direction until you
    achieved tangency.  As you stopped before Venus was split by the moon's
    edge, your reading was too small.  A wild guess, based on the time it took
    to go from inside to split in my case (30 to 40 seconds) and a nominal rate
    of 0.38' increase in separation per minute, would be that you were
    undershooting by approx. 0.25'.  Your results adjusted for that, except for
    #4, are pretty darned good.
    
    In my case I started with overlap (preset angle too large) and waited.  Had
    I not waited I would have had to turn the drum anti clockwise (smaller angle
    on the arc) to move Venus up from complete overlap to split.  If I stopped
    too soon my reading would be too large.  Since I knew the angle increased
    over time, I treated it as a rising body for set and wait.  Venus was placed
    inside the moon, much like placing a rising body too low compared to the
    horizon, then waiting for it to rise into position and noting the time.
    
    I hope Bruce Stark, Frank Reed, and other list gurus will jump in and
    address (again?) the affect of body size, phase of planets, etc. on observed
    separation angles in lunars.  Also whether Frank's site addresses phase
    corrections.
    
     > The idea of some shades to balance the brightness is a
    > good one.
    
    Another tip comes to mind.  If you are not presetting to the the approximate
    separation, getting an initial rough alignment can be difficult.  For stars
    at sea, some texts recommend inverting the sextant and viewing the star
    directly while moving the reflected horizon (much easier to see) into
    approximate position.  Then flip the sextant and go for final alignment.
    Modifying this, view Venus directly while bring the reflected moon into
    rough alignment.  Alex taught me a wrinkle on that.  Remove the scope before
    doing the above. It gives you a much wider viewing angle.
    
    An observation:  Frank's site rounds observation (lunar) error in 0.1'
    increments.  If I recall, Frank stated the error in longitude was simply the
    observation error times 30.  Since the errors in longitude are not multiples
    of 30, I would guess they are calculated prior to rounding the observation
    error.  In which case, if you want to be really anal, divide the longitude
    error to get the actual observation error before rounding.  For example, one
    of my observations showed -0.2' observation error and  -5.0' longitude
    error.  -5.0/30 = -1.67, better than the -0.2 would indicate.  One -0.1
    observation error showed a -4.4' longitude error.  -4.4/30 = -0.147', so not
    as good as -0.1' would indicate.
    
    As a beginner the learning curve becomes increasingly steeper as I try to
    move on.  Alex has a higher-power scope, a steadier hand IMHO, and can
    actually see the phases of a planet with his binoculars.  I cannot.  We both
    aspire to be within 0.2' of calculated under ideal conditions (star-to-star,
    lunars, artificial horizon, or beach shots).  A lofty goal for me as the
    Astra specs are plus/minus 20" throughout the arc and my ability to
    consistantly align a power line is plus/minus 0.1 to 0.2'.
    
    > Unfortunately a front went through this
    > morning and we have heavy overcast and rain at the
    > moment so no sights tonight.
    
    You're breaking my heart.  I warmed up the car while doing the observations,
    then brushed the snow off and scraped the ice from the windows before I went
    out to stock up on food and beer before the temperature became sub 0 on both
    the F and C scales.  At this point I am putting the oven on self clean to
    generate heat, and converting Celsius into Kelvin to convince myself my butt
    is not freezing off. 
    
    Bill
    
    
    

       
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