NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Moon's 4SD
From: Alexandre Eremenko
Date: 2006 Nov 2, 00:05 -0500
From: Alexandre Eremenko
Date: 2006 Nov 2, 00:05 -0500
The value in the almanac for SD of the Moon is not only rounded too much but it is also too small. Apparently they compute it "as seen from the center of Earth". The real value depends on the Moon's altitude and it is given by approximate formula SD=0.27277HP(1+sin(HP)sin(ALT)), where HP is the Moon Horizontal Equatorial Parallax (rightmost column of the Moon section of the daily page) and ALT is the Moon altitude. The second term is non-negligible if we talk about 0.1' precision! Computation with this formula shows that all my (and Frank's) recently mentioned measurements of IC using Moon are acceptable, that is 4SD is within 0.4 from the true value. It remains to explain why star and Sun tests give consistently smaller IC than the Moon test (at least in my measurements). It is interesting how various authors rate the various tests for IC in the order of decreasing precision. Heath (of Hezzanith): Star, Horizon, Sun. Russian manual: Sun and Star equally good, then Horizon. (They quote the statistics that the typical accuracy of the Sun/star test is 0.1 to 0.2, while the Horizon gives only 0.5. I've never seen the Moon mentioned for IC tests, before Frank's messages. Today I also tried wires. Computation shows that to achieve 0.1 accuracy of the test, the wires have to be at least 1 nautical mile away. It is really hard to see any wire at this distance., even with a 7x telescope. At least at my age:-( Alex --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---