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    Re: 3-Star Fix - "Canned Survival Problem"
    From: Gary LaPook
    Date: 2008 Aug 21, 09:08 -0700

    Message 5457.
    
    gl
    
    On Aug 18, 3:31�pm, "Greg R."  wrote:
    > --- "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_bur...@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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