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    Re: 3-Star Fix - "Canned Survival Problem"
    From: Gary LaPook
    Date: 2008 Aug 18, 14:34 -0700
    BTW, did you ever check my work?

    gl

    Greg R. wrote:

    Assuming you're not being tongue-in-cheek with your solution (and being
    at work I can't verify it right now), regardless of accuracy you
    definitely get the Most Unique Solution award (plus an honorary
    Navigator Who I'd Most Want To be Shipwrecked With plaque, with gold
    clusters).  :-)

    Heh... I almost wrote the exercise with all of the navigation books
    being lost overboard too, and luckily the intrepid navigator had
    memorized their entire contents - but figured that was a bit too much
    of a stretch. Now I may have to re-consider that option...  ;-)
    
    Assuming you're not being tongue-in-cheek with your solution (and being
    at work I can't verify it right now), regardless of accuracy you
    definitely get the Most Unique Solution award (plus an honorary
    Navigator Who I'd Most Want To be Shipwrecked With plaque, with gold
    clusters).  :-)
    
    --
    GregR
    
    
    
    --- "Gary J. LaPook" <glapook@pacbell.net> wrote:
    
      
    Being the conscientious navigator that I am, I followed my usual
    practice of memorizing some data from the 2008 Nautical Almanac so
    that
    I would have it available for emergency use.
    
    The first thing I memorized was the GHA of Aires at 0000 Z January 1,
    
    2008 which is 100º 01.9' and also remembering that Aires advances
    59.139' each day. With this information you can calculate GHA Aires
    for
    0000 Z on June 9, 2008 which is the 161st day of the year but is only
    
    160 days from January 1st. So multiplying 59.139' times 160 days
    gives
    157º 42.2'  to which you add the starting value of 100º 01.9' to come
    up
    with the GHA Aires on June 9th at 0000 Z of  257º 44.1'. To this you
    add
    the change of GHA for the time since 0000 Z (3 hours 42 minutes 10
    seconds for the Vega shot) by multiplying the time interval by the
    rate
    of change of 15.041º per hour making 55º 41.6' making the GHA Aires
    at
    the time of the Vega shot of 313 º 25.7'.
    
    I also memorized the SHAs and the Declinations of ten of the
    navigation
    stars ( nobody could memorize all 57) which should be enough for
    emergency use as tabulated for July 1st so that the values will be
    reasonable for the whole year. Fortunately this included the three
    stars
    used in this exercise. So now adding the SHA of Vega, 80º  41' we end
    up
    with the GHA of Vega of 34º 06.7' and using the D.R. as the A.P. we
    get
    an LHA of 274º 48' and the declination of 38º 47' N. (rounded to the
    whole minute)
    
    Using these values on my Bygrave slide rule (see attached work sheet)
    
    since I have no tables with me, I computed Hc of 23º 59'.
    
    The Hs given was 24º 05.5' Computing the dip correction in my head of
    
    4.5' (the square root of 20 must be between 4 and 5 ) and applying
    the
    refraction correction of minus 2 gives an Ho of 23º 59' giving and
    intercept of zero and an azimuth of  58.1 º.  I long ago memorized
    the
    refraction table for altitudes above 10º in The Air Almanac and in
    H.O
    249, the cutoff values are 63-33-21-16-12-10º , zero above 63, 1
    above
    33, 2 above 21, 3 above 16, 4 above 12 and 5 above 10.
    
    I used the same procedure for Spica and Pollux getting another zero
    intercept for Pollux, Zn of 290.2º and a  4 NM away for Spica with a
    Zn
    of 171.7º.
    
    Since I am on the road I do not have any of my plotting tools with me
    so
    I had to make do with what I found in my briefcase. I used my MB-2A
    flight computer since it had an azimuth scale and I used a pad of
    paper
    with a right angle at the corner as my straight edge for plotting the
    
    LOPs. I used a tape measure from IKEA to measure the length of the
    intercept (see photo.)  I plotted the LOPs and found the fix by
    bisecting the three angles giving a fix .4 NM west of the A.P. (D.R.)
    
    and 2.8 NM north of it. (Plotting a fix as a distance from the A.P.
    like
    this is common in aerial practice and it is often done on an E-6B.)
    Adding the 2.8 NM north to the D.R. latitude gives a fix latitude of
    34º
    16' North. To convert the .4 NM west  to a longitude you divide the
    .4
    NM by the cosine of the latitude, .82, to find the difference in
    longitude of  .5' so the fix longitude is 119º 19.5' West (rounded to
    
    either 119º 19' or 20'.)  ( I got the cosine of 34º by finding the
    sine
    of 56º on the MB-2A sine scale, used for wind correction
    calculations.)
    
    My fix might not be in agreement with others but I used a refraction
    table tabulated in whole minutes, I only memorized the stars'
    positions
    to the nearest minute and I did not have any plotting tools to use
    but
    my position is certainly good enough for emergency navigation and
    done
    without an almanac, tables or electrons.
    
    (I will have to send the images when Ii figure out how to make them
    smaller.)
    
    gl
    1
    
    m_burkes@msn.com wrote:
    
        
    Captain Lecky would be proud of those dividers ha! Speaking of
    interpolation I have found a neat way to get around that pesky DSD
          
    and
        
    interpolation tables by using the aviation E6B computer or the
    equivalent nautical slide rule. Essentially the set up:d-value/60=d-
    correction/declination minutes. Yes the calculator offers the proof.
    Mike Burkes
    On Jun 12, 11:44 pm, Anabasi...@aol.com wrote:
    
    
          
    Thanks for the nice exercise Greg.  I literally had to dust off the
            
     ship's
        
    Vol III of HO 229 and deflower a Plotting sheet 925 to work this
            
    one  out.
        
    Since I was bereft of electronic gadgets, I did this with a
            
    plotting sheet,
        
    2 triangles, a pair of dividers, 2 books, a pencil, and small piece
            
    of scratch
        
    paper (wouldn't have reams of paper in the Lifeboat).  I have
            
    attached a
        
    picture in to this message with the plot and the tools.
    
    My Lat is a bit lower (plotting or math error?).  I used an assumed
            
     position
        
    method and HO 229.  I had to assume we were drifting and no
            
    current (didn't
        
    advance or retard the lines).  I had not done a full HO 229  paper
            
    reduction
        
    of a star in many years, and I had to think a second to remember
            
    how to use
        
    the interpolation pages on the inside covers for the declination
            
    interpolation.
        
    I usually whip those off with the calculator.  Still,  I got
            
    pretty close to
        
    the computer solutions with Lat 34deg 11.9' N and  Longitude 119deg
            
    16.0'W.
        
    As to how you would get an Eastern sight on the west coast, you
            
    would have  2
        
    options in general.  The first would be a back sight.  This would
            
    be
        
    particularly difficult with a regular sextant at such a low
            
    altitude.  The  other
        
    option would be to use a bubble sight tube or other artificial
            
    horizon.  If you
        
    were across a bay, you could also use a dip short of  the horizon
            
    table.
        
    That's all I can think of at the moment.
    
    Jeremy
    
    **************Vote for your city's best dining and nightlife.
            
    City's Best
        
    2008.      (http://citysbest.aol.com?ncid=aolacg00050000000102)
    
    gregExerPlot.jpg.JPG
    182KViewDownload
    
    GregExerTools.jpg.JPG
    129KViewDownload
    
    
    
            
    
          
        
    
    
    
    
      


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