NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Certaine Errors in Navigation Corrected
From: Gary LaPook
Date: 2007 Dec 09, 17:52 -0800
From: Gary LaPook
Date: 2007 Dec 09, 17:52 -0800
Gary LaPook replies: Thank you George for you interest in this matter and I still have no idea why it works. So far six list members of the list have asked me for copies of the entire book and I have emailed it to them. Hopefully one of them will come up with an explanation.. I am especially mystified that I have found no mention of his method in any of the texts I have consulted. You would have thought it would have rated at least a mention in Bowditch. George, your post confused me because I had also checked Wright's figures for the Cape Blanco case and came up in agreement with his value. I think you may have read his text incorrectly because I read it as giving the longitude of Cape Blanco as 331º and all of his longitudes are east. This is where he plotted it on his diagram, 331º east which is, as you point out, at 29º west of his prime meridian. This gives the difference in longitude of 51º and using this value with the latitudes of both places of 51º 32' north and using trig I come up with a distance of 1864 NM just as you did and it is within 4 NM of Wright's calculation. I have attached the 10 pages from this book which contain his complete explanation and this includes the page that was missing from my original post. The copy of Certaine Errors that I now have contains an errata sheet on page 12 which I am attaching which may also be helpful. gl George Huxtable wrote: >Gary LaPook has set us an interesting problem, and I have been struggling >with it, on and off, to no avail. That is, to discover how Wright's >geometrical construction happens to give the right answer to the >great-circle distance between points A and B. That it does give an accurate >answer, depending only on the precision with which the measuring has been >done, I have little doubt. > >But I have a morsel of information to offer. I have checked over the results >Wright states for great-circle distance between pairs of places, for which >he provides lat and long, and they all come out highly accurate, except one. >That one is between London, at 51 deg 32' North, 22 deg East of his presumed >meridian, and Cape Blanco in Newfoundland, at the same latitude, but a >longitude stated to be 33.5 degrees West of that meridian. For that, Wright >quotes a distance of 1860 miles, but if I work out the distance between >those points, I make it 2020.4 miles, a serious error of 160 miles. > >However, Wright shows his construction, and a close look shows what has gone >wrong. Instead of point D being marked at the longitude of Cape Blanco, at >33.5 deg West, it has, by some error, been marked instead at the wrong >value, at only 29 deg West. No wonder it gives the wrong answer, then! But >what that allows us to do is to check the great circle distance beetween >London and that other point, not at Cape Blanco, but in the sea, at the same >latitude as London and at a longitude of 29 deg West of his reference >meridian. If we calculate that distance by trig., it gives 1864 miles, only >differeing by 4 miles from Wright's geometrical result! > >Which adds further conviction to the correctness of Wright's procedure. > >Clearly, this problem has been bugging Gary for some time, and if he >discovers the answer I hope he will share it and put us out of our misery. > >George. > >contact George Huxtable at george@huxtable.u-net.com >or at +44 1865 820222 (from UK, 01865 820222) >or at 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK. > > > >> > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---