NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: 3-Star Fix - "Canned Survival Problem"
From: Gary LaPook
Date: 2008 Aug 21, 09:08 -0700
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 > > --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---