NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Time of meridian passage accuracy
From: Antoine Cou�tte
Date: 2009 Oct 16, 12:26 -0700
From: Antoine Cou�tte
Date: 2009 Oct 16, 12:26 -0700
Dear Andres, In [Navlist 10132] , you did requested feedback on your results and comments in [Navlist 10065]. Here are just a few , (although unsolicited) : - The results you published in [Navlist 10065] as regards both Culmination Height / Time are perfect. Your indicated values are 18h14m18s / 46d15'68196, while to "higher" (what does it really mean anyway ??? ) accuracy ([Navlist 10041] ) they are : 18h14m18.05s / 46d15'715 - Your interpretation of the difficulty to get adequate values for both LAN Time and Height looks very true to me. A Formula like the one published by Jim cannot sensibly be used since current "exotic" environment is too far from the "usual environment" which permits/authorizes its approximations. - Your remark on the "always good results" obtained by either "brute force" Marcq Saint Hilaire method, or the more elegant/sophisticated Kaplan algorithm are very true : such methods will "almost always" work very well (only exception occurs when azimuths are too narrow, which is most often the case for most of the LAN's), - It brings back an interesting point: whatever the algorithm you use to deal with LAN data, these data are BY NATURE somewhat inaccurate since the azimuths remain (far) too narrow most of the time. NO WAY – that I know of – to go around that hard fact, although (and again) : "better one LAN than no LAN at all" ! - One query from my side. What do you exactly mean in your second conclusion of [Navlist 10065] when you wrote : "For obtain the Hmax, the Least squares fitting H = a0+a1*t+a2*t2 is OK. The maximum gives: t max = -a1/(2a2) and Hmax = a0-a2t2. It retains the asymmetrical nature of the curve." I am just curious here about the meaning of the very last sentence ( it "retains" ). Would not it seem that, by nature, and even with a non zero term in t**1, a second degree curve (a parabola) is always fully symmetric ? Thank you for your Kind Attention and Best Regards Antoine Antoine M. "Kermit" Couette --~--~---------~--~----~------------~-------~--~----~ NavList message boards: www.fer3.com/arc Or post by email to: NavList@fer3.com To , email NavList+@fer3.com -~----------~----~----~----~------~----~------~--~---