NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Systematic error and its resolution
From: Alexandre Eremenko
Date: 2007 Apr 6, 12:24 -0400
From: Alexandre Eremenko
Date: 2007 Apr 6, 12:24 -0400
Geoffrey, How do you determine the index error of a bubble sextant? I understand that some bubble sextants have two optical paths, one of them for the horizon observations. But if I understand correctly what sextant you are using, it does not have this option. So how do you determine its index error? In particular, I don't understand the sentence in your message "can be easily determined at the start of a round of sights". How? Alex. On Fri, 6 Apr 2007, Geoffrey Kolbe wrote: > > > In an otherwise correctly adjusted marine or > bubble sextant, the main source of systematic > error is Index Error, which can be easily > determined at the start of a round of sights. > Index Error in bubble sextants cannot be so > easily determined. So it is necessary to adopt > strategies to ensure that Index Error does not > does not affect the accuracy of the final position. > > I spent some weeks in the Western Desert in Egypt > in March 2006 and had a lot of trouble getting > good fixes to start with. The problem was that > the desert is lot hotter than the Borders of > Scotland, where my A12 bubble sextant usually > resides, and so the Index Correction was no > longer the -7' that it had been for the past 20 > years! Worse still, it seemed to change from day > to day. I finally came round to adopting a > strategy of taking sights on stars and the sun > when in the Cardinal points. The problems went > away and I started getting reliable fixes. > > On my return, further research revealed that > Royal Air force navigators used exactly the same > strategy to ensure accurate fixes when using a > bubble sextant. Too, surveyors of old who had to > rely on a transit theodolite to determine their > position by stellar observations, also used the same strategy. > > Last month I returned to the Western Desert, > again with an A12 bubble sextant - but not the > same instrument I had used last year. Back home > in Scotland, I had determined that an IC of +5' > had to be applied to this sextant to get the > correct altitudes. From previous experience, I > did not expect this to be a good IC in the Sahara > desert - and I was not disappointed! > > Here is a round of sights > http://www.pisces-press.com/desert/14thMarch.jpg > I took when we reached Jebel Uweinat, the 6000 ft > mountain in the South West corner of the Western > desert. My estimated position was 21N55,25E10. I > did rounds of sights on the sun (morning and > evening), Polaris, Canopus and Regulus. I applied > the usual IC of +5' to the resulting altitudes. > Azimuths are in blue, position lines are green, > the red dot is where the GPS said I was when I > consulted it after I had obtained a fix by traditional means. > > As can be seen, the box formed by the resulting > position lines is rather large, about 10' on a > side. From this, I determined that my IC should > have been more like +10' as the sextant was > reading about 5' too low. The resulting fix is > not bad however, just a couple of minutes away from the GPS position. > > A few days later and a bit further North, when > camping next to Wadi Sora, (the "Cave of > Swimmers" made famous in the movie, "The English > Patient"), I did another round of sights, this time applying +10' of IC. > > As can be seen > http://www.pisces-press.com/desert/19thMarch.jpg > this is altogether more satisfactory. All the > sightings (averaged and reduced) produced > position line intercepts less than 1' from the > estimated position. The GPS position subsequently > revealed that my EP was only about one minute > away from my actual position. With this > instrument, this result is really the best that > could be hoped for. But it should be noted that > the accuracy of my final fix is not actually much > better than it was when my IC was an unknown quantity. > > In conclusion, I was able to get reliable fixes > far more quickly by moving away from the > traditional fix using three objects about 120� > apart with its resultant cocked hat, and adopting > a strategy of taking sightings on four objects, > each near one of the Cardinal points. I know that > if the box formed by the position lines is > substantially square, the errors are far more > likely to be dominated by systematic rather than > random errors. With a tradition > three-position-fix you never know if random or > systematic errors are dominating, so you can > never be sure just how accurate your fix is. > > Geoffrey Kolbe > > > > > > > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---