NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Almanac errors
From: Frank Reed
Date: 2008 Mar 09, 18:59 -0400
From: Frank Reed
Date: 2008 Mar 09, 18:59 -0400
George H, you wrote: "Thanks to Frank Reed for some really useful information on Almanac accuracy, much of which was quite new to me." Sure thing. And you asked: "He provided as a reference Souchon's "Treatise on Practical Astronomy", Paris 1883, which I had never even heard of before. Frank, is that in English tramslation, as the given title might imply, or is it in French? My own French is very halting, but even so, I might give it a try if I can find a copy." Alas, the "Traite d'astronomie pratique" is in the Frankish tongue. Speaking frankly, as I always do, it's probably not worth the trouble to slog through gallically. If you want to give it an essai, you can download the complete book from Google Books here: http://books.google.com/books?id=TzMAAAAAQAAJ (click "Download PDF". It's ten megabytes). If you really want to brush up on your technical French and read a fine book on the history of navigation, rather than Souchon, I would strongly recommend "Histoire Generale de la Navigation du XVe au XXe Siecle" (General History of Navigation from the 15th to the 20th Century) by F. Marguet. I originally learned of this book in a post by Wolfgang almost four years ago. Back then, it was available online, but it appears someone realized that it was still under copyright protection, especially under the strong terms of French law, and it is no longer online. If you ask around, you may find someone with a digital copy that they're willing to let you pirate. I ended up buying a hard-copy of the book for $75 --which should give you a sense of how much I enjoy it. You wrote: "Right at the start of the Nautical Almanac, for 1767, Maskelyne employed a team of human "computers", who were to make the complex calculations" I've been meaning to try and pin down the date when the word "computer" no longer refers to a human. I sometimes tell people that an 18th century phrase like "the computers used formulae" really has to be translated into 21st century English. The nearest equivalent today might be "the accountants used forms". You mentioned a source which: "analysed 4000 observations that had been made of the Moon's position over the previous 36 years, and compared them with predictions. Will those minutes contain any detailed infomation? Probably not, but I live in hope." You don't need them! The position of the Moon in that era is now known to the nearest second of arc and sometimes better. The best that they could do back then was compare the predicted (published) positions with contemporary observations. But today, we can compare the known positions (which are available digitally and are based on physical models as well as the best contemporary observations) with any published positions you might wish to examine. And you wrote: "One puzzle is that Forbes, and Frank, both refer to "mean error", as well as "greatest error". The divergence can be positive or negative, and one might hope that its mean would be about zero, which is why root-mean-square error, or standard deviation, is a more useful quantity today.." Yeah, it's mean absolute error. This is nearly the same as standard deviation for this sample. Of course, these "errors" are not like observational errors --they're not distributed normally. They are bounded. That's why it's also meaningful to quote a maximum error. As I noted in another post today, for a sample of twenty LDs from the 1803 Nautical Almanac, the mean absolute error is 33 arcseconds, the maximum is 67 arcseconds. -FER --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---