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A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Sun Moon Lunars to 155 degrees
From: George Huxtable
Date: 2010 Apr 6, 17:09 +0100
From: George Huxtable
Date: 2010 Apr 6, 17:09 +0100
Frank wrote- Why?? Well, remember that "lunars miracle" that I've discussed with you several times in the past few years?? The altitude of the Moon matters LESS than the altitude of the other body, and when the lunar distance is close to 90 degrees, the altitude of the Moon can be wrong even by several degrees with no significant effect on the lunars clearing process. You're still thinking of the altitude as an index to get into the altitude correction table. That's only part of it. The altitudes also affect the geometric factors determining what portion of the altitude corrections act along the lunar arc. Those factors or "corner cosines" change when the altitudes change. By a lucky accident, the change in the corner cosine cancels out the change in the Moon's altitude correction as the distance approaches 90 degrees. Also notice that if you move the Sun up or down, you can significantly change the geometry at the other side of the standard lunar triangle. So even though the Sun's altitude correction may be very small, it will still impact the lunar clearing process. In other words, even if there were no refraction AT ALL, you would still need to get the Sun's altitude correct to better than 6' (actually 6'*sin(LD)/cos(h)) if you want to clear a lunar correctly. Try it yourself with a few simple cases. =============== Very well. Let's consider a simple case, leaving out any "miracles". Here is a simple case, with lunar distance at 90 degrees. The Sun is at the zenith, the Moon is on the horizon. How sensitive is the cleared distance to the altitude of the Moon? And that of the Sun? Now put the Moon at the zenith, the Sun on the horizon. How sensitive is the cleared distance to the altitude of the Sun? And the Moon? Just to avoid ambiguities of definition, instead of the high object being actually at the zenith, I'm content for it to be put at say 88º altitude, on the same azimuth as the lower object. I'm yet to be convinced... George. contact George Huxtable, at george@hux.me.uk or at +44 1865 820222 (from UK, 01865 820222) or at 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK.