A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Almanacs, theory and use.
From: Bill Wells
Date: 2007 Nov 23, 00:29 -0800
From: Bill Wells
Date: 2007 Nov 23, 00:29 -0800
With all due respect for the previous entries, I would like to suggest a different approach. Let's not lose sight of the objective - Mike wants to demonstrate to his kids that the Earth is in fact spherical (or close to it). We are not told the age of the children, but the following suggestion applies to students of all ages. Mike could begin with the method used by Eratosthenes around 200 BC to calculate the circumference of the Earth. It is also a clear and intuitive demonstration of the curvature of Earth. There is no point in repeating here details of the method he used; there are plenty of websites the kids will easily find which show the concept in a straightforward way. The kids could conduct their own experiments, at local apparent noon holding a meter stick vertically on a level surface near their home in Scotland, then measuring its shadow. This time of year in Edinburgh they will see a shadow about 400 cm long, with a sun altitude of 14 degrees. A call to grandmother near London, where the sun altitude will peak at 18.5 degrees, and the kids will find that she sees a shadow of 300 cm. This is a dramatic difference, and a simple sketch with or without trigonometry will go a long way to demonstrating the curvature (and oblate spheroid shape) of our Earth. Their actual locations in England and Scotland will, of course, produce different results, but the numbers will be meaningful. After this demonstration, move on to elevations of Polaris at both locations with the Ebbco, followed by determination of positions using the almanac. Let's keep in mind this is about the children, and developing in them an interest in the sciences. Better not start out with rocket science, or they will go back to the Google on the PC. By the way, this is my first post; I am likely the new member of the group. Regards, Bill On Nov 20, 3:39 am, Isonomia
wrote: > We live in Scotland and my mother lives in England, so I thought it > would be pretty simple to prove to my kids using a sextant that the > world was spherical - so I bought an EBBCO on eBay. Whilst I've > proved to myself I can use a sextant to find out where I am, I'm > still to convince the children either that you can, or that you would > want to. > > I started by using some software into which I put the time, > approximate longitude, latitude and sextant reading, and (after > working out I had to subtract half the sun's diameter) I finally got > something average on our location on average about 3 miles from our > location. Unfortunately, as far as a kid is concerned, if you have a > PC, you may as well look up google/streetmap rather than waste time > with a sextant, so I need to find a PC-less way to find out where I > am. > > So, using a bit of trig (with some software from the web) I created my > own single-page weekly tables (the sun don't shine everyday!), giving > altitude and direction of the sun for a given location for each > minute of the day. This allows me to create a table for any given > place which most children who can add two digit numbers, and use a > ruler/protractor could use by themselves (with instructions) to plot > a line giving their location (to within 10miles I hope!), which if > repeated twice in a day should give an "exact" location. > > Now, I know how my "Almanac" works, but even having figures for every > minute of the day, for a known location and interpolating results for > seconds, I will still be pushing it to get tabular errors less than > 1'. From what I have been able to discern about real almanacs they > contains a fraction of this information with only hourly figures for > every location in the world. Although, I've downloaded a few > worksheets to "calculate" the figures, I can't understand how these > are used (I neither have a worked example, nor do I have an almanac, > nor do I have a theoretical explanation for the tables - but I don't > see that as a fundamental problem!) Surely getting from these figures > in the Almanac to one at any time for a particular location but > involve some complex trigonometry and rather hectic sinusoidal > interpolations - neither of which are apparent on the worksheets! > > What I really want to know is how my "almanac" relates to a real > almanac, and how, could and should I make my "almanac" more like a > real almanac and still have it useable by children? I've tried > searching the internet, for any explanation of how to use an almanac > (with the theoretical background) - any help would be greatly > appreciate (remembering I am not familiar with SHA, GHA, and whilst I > learnt spherical geometry at University, I'm a little rusty) --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@googlegroups.com To unsubscribe, send email to NavListfirstname.lastname@example.org -~----------~----~----~----~------~----~------~--~---