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    Re: 3-Star Fix - "Canned Survival Problem"
    From: Greg R_
    Date: 2008 Aug 18, 15:31 -0700

    --- "Gary J. LaPook"  wrote:
    
    > BTW, did you ever check my work?
    
    I posted the solution to that one in [NavList 5428]: "GPS position for
    that series of sights is 34�14.4�N / 119�15.9�W, and my Navigator
    computer program calculates 34�12.6'N / 119�16.5'W (using APs of 34�N
    and W longitudes to give a whole number of LHA)".
    
    Or, if you'd like to me take a look at the (creative) method you used
    to solve it post a message # and I'll take a look at it.
    
    --
    GregR
    
    
    
    --- "Gary J. LaPook"  wrote:
    
    > 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"  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 100� 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  
    > >>157� 42.2'  to which you add the starting value of 100� 01.9' to
    > come
    > >>up 
    > >>with the GHA Aires on June 9th at 0000 Z of  257� 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 15.041� per hour making 55� 41.6' making the GHA Aires
    > >>at 
    > >>the time of the Vega shot of 313 � 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, 80�  41' we
    > end
    > >>up 
    > >>with the GHA of Vega of 34� 06.7' and using the D.R. as the A.P. we
    > >>get 
    > >>an LHA of 274� 48' and the declination of 38� 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 23� 59'.
    > >>
    > >>The Hs given was 24� 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 23� 59' giving and 
    > >>intercept of zero and an azimuth of  58.1 �.  I long ago memorized
    > >>the 
    > >>refraction table for altitudes above 10� in The Air Almanac and in
    > >>H.O 
    > >>249, the cutoff values are 63-33-21-16-12-10� , 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 290.2� and a  4 NM away for Spica with
    > a
    > >>Zn 
    > >>of 171.7�.
    > >>
    > >>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
    > >>34� 
    > >>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 119� 19.5' West (rounded
    > to
    > >>
    > >>either 119� 19' or 20'.)  ( I got the cosine of 34� by finding the
    > >>sine 
    > >>of 56� 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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