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    Re: 3-Star Fix - "Canned Survival Problem"
    From: Greg R_
    Date: 2008 Jun 13, 21:16 -0700

    --- "Greg R."  wrote:
    
    > Hmmm... just had an idea - I'm going to go back and "massage" all 3
    > sights with Navigator to make them overlap perfectly (i.e. zero
    > intercepts) and then plot those LOPs - maybe that'll help point to
    > where the error in my rough plot is coming from.
    
    It dawned on me that "zero Hs error" is probably a better way to say
    that than "zero intercepts" (I use Navigator to check the accuracy of
    my own sights, and using a known GPS position as the Assumed Position
    the intercept from that position becomes the error for that sight -
    hence in this case "zero intercept" = zero sighting error).
    
    And since the horizon wasn't clear the evening that I did the shots for
    the exercise, I also introduced some "dither" into the Hs values (via
    Navigator) to better reflect reality (and also to generate a cocked-hat
    for the fix vs. 3 perfectly crossing LOPs).
    
    So let me re-phrase that to say I'm going to go back and massage the
    earlier sights to reflect zero sighting errors so that (hopefully...)
    all 3 of them will cross at just one point - which can also serve as a
    plotting accuracy exercise.
    
    --
    GregR
    
    
    
     
    > Hi Jeremy:
    > 
    > This exercise turned out to be a little more "challenging" than I'd
    > thought, since the declination of one of the sights (Vega) is out of
    > range for using 249 vol. 2 (but in a "survival" situation, I guess
    > you
    > take what you can get). So I used 249 vol. 1 for that one (but
    > ignored
    > the precession/nutation correction since it was almost parallel to
    > the
    > LOP itself). 
    > 
    > I also started to solve it with 229, then realized I didn't know how
    > to
    > work the interpolation tables (though I figured that out last night -
    > it's a lot more involved than the 249 method, so I'll have a go at
    > doing it that way later on).
    > 
    > > Thanks for the nice exercise Greg.
    > 
    > No problem - we couldn't really expect you to do the work for all of
    > these "real-world" exercises. Just be glad I didn't include the horde
    > of hungry marauding mosquitoes in the NavList post... ;-)
    > 
    > > 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.
    > 
    > Hopefully it wasn't too painful for either of them... ;-)
    > 
    > > 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). 
    > 
    > Glad *somebody* actually noticed that part of the exercise (though I
    > did say the navigator managed to grab all of the navigation tools
    > before abandoning ship, but your method is also valid).
    > 
    > >  I have attached a picture in to this message with the plot and the
    > 
    > > tools.
    > 
    > OK, extra points for the visual aids...  ;-)
    > 
    > > My Lat is a bit lower (plotting or math error?).
    > 
    > Yeah, I reduced the 3 sights yesterday and did a quick plot before
    > having to stop and leave for work. Mine came out that way too (i.e. a
    > few miles south of the GPS and computer positions), so I'm going to
    > re-plot it when I have the time to be more methodical about it and
    > try
    > to figure out what's causing that error (pardon the
    > chicken-scratches,
    > I did say it was "rough"...  ;-)):
    > 
    >
    http://www.geocities.com/gregr_navlist/exercises/canned_survival/rough_plot_1.jpg
    > 
    > (Central parallel = 34� N, central meridian = 119� W) 
    > 
    > And here's a shot of the intrepid navigator doing the "survival"
    > sights
    > (at least, when not fighting off that horde of marauding mosquitos...
    > 
    > ;-)):
    > 
    >
    http://www.geocities.com/gregr_navlist/exercises/canned_survival/interpid_navigator.jpg
    > 
    > > I used an assumed position method and HO 229
    > 
    > I used 34� N and longitudes based on getting whole numbers for the
    > LHAs.
    > 
    > > I had to assume we were drifting and no current (didn't advance or 
    > > retard the lines).
    > 
    > Your assumption would be correct, especially since the exercise
    > narrative said: "S/he now finds him/herself washed up on an unknown
    > shore"...  ;-)
    > 
    > > 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.  
    > 
    > Ditto that - see above.
    > 
    > > I usually whip those off with the calculator.  
    > 
    > Substitute "computer" for "calculator" and ditto that too - sure is
    > easy to get lazy with all this modern technology...  ;-)
    > 
    > > Still, I got pretty close to the computer solutions with Lat 34deg 
    > > 11.9' N and Longitude 119deg 16.0'W.
    > 
    > My rough plot is a couple of miles even further south of yours - I
    > came
    > up with 34� 09' N / 119� 16.8'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.  
    > 
    > Agreed - the arcs on both my Astra and Davis (and I think most of the
    > modern-day sextants) read to 120�, which would rule out a backsight
    > with an Hs of 24� (I'd need a range of ~160� if I did the math
    > right). Not to mention that there was a fog/haze bank hanging on the
    > horizon that evening which would have made that sight even more
    > problematic.
    > 
    > > The other option would be to use a bubble sight tube or other 
    > > artificial horizon.  
    > 
    > Agreed, but not seeing a need for it out of the ocean, the intrepid
    > navigator had left those at home in the box with the other extra
    > navigation gear.  :-)
    > 
    > > 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.
    > 
    > How about across a parking lot?...  ;-) 
    > 
    > Actually, your guesses are pretty good (and definitely thinking like
    > a
    > good navigator), but across the street from this particular part of
    > the
    > beach is a collection of shops (Ventura Harbor Village) - and as luck
    > would have it, when I brought down the Vega sight to where the
    > horizon
    > would normally be it landed squarely in the doorway of one of them. 
    > 
    > I took a guess at what my eye height would have been in that doorway
    > and used that for my "horizon line" (surprisingly enough, it turned
    > out
    > to be within 15' of what it actually should have been), and I later
    > "massaged" it with the Navigator program to get an Hs that would have
    > been more realistic (the "Canned" part of the subject line was
    > supposed
    > to be a clue that those weren't all "normal" sights...  ;-)). 
    > 
    > Wonder if a dip short correction would have made that "artificial
    > sight" more accurate?...  ;-)
    > 
    > Hmmm... just had an idea - I'm going to go back and "massage" all 3
    > sights with Navigator to make them overlap perfectly (i.e. zero
    > intercepts) and then plot those LOPs - maybe that'll help point to
    > where the error in my rough plot is coming from.
    > 
    > --
    > GregR
    > 
    > 
    > 
    > --- Anabasis75@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)
    > > 
    > > > 
    > > 
    > 
    > 
    > > 
    > 
    
    
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