
NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Resolution of systematic error
From: Robert Eno
Date: 2007 Mar 5, 19:44 -0500
From: Robert Eno
Date: 2007 Mar 5, 19:44 -0500
Peter Fogg wrote (clipped) "Let's start at the beginning. What is a position line? It is the position expressed as a line (for our purposes - really an arc that, extended, completes a circle around the SSP). It is the position that has been derived via a mathematical process. It is a rational artefact. It is the ONLY position that can be rationally derived from a specific body at a specific altitude at a specific moment. To say that this is not an expression of the position, that the position lies at an indeterminate point that could be located anywhere at all in the whole wide universe, except along the position line, is a bit of a furphy. I do understand and appreciate the statistical 25% / 75% argument. However, statistics are most useful navigationally, it seems, when employed to deal with superfluous data. An example of this is the derivation of a fix from within encompassing LOPs, where the sum of least squares can be used to derive the centre of the shape. Another way to put this is that statistics can be a good servant but a bad master." It seems to me more useful to eliminate random error as much as possible at source, rather than worrying later about the resulting indeterminate nature of a fix derived from random sights. For practical nav in a small boat or for any moving target great analysis is probably not worth the effort, but as many contributors to this list work from a known position on land and are mainly interested in what accuracy they can achieve, some appreciation of these methods could be useful. While we're on that theme, the traditional triangle formed from 3 LOPs is less than ideal. Four or more position lines is better. ------------------- Robert comments: Peter, thankyou, thankyou, thankyou and thankyou del la puissance treize (to the power of 13) It is ironic that with a last name like Fogg, you have done more to clear up the miasma of confusing arguments on this topic than has any previous poster (with no insult intended towards the other contributors). Robert --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To unsubscribe, send email to NavList-unsubscribe@fer3.com -~----------~----~----~----~------~----~------~--~---