NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: "Vernier acuity" of horizon IC tests
From: Frank Reed
Date: 2009 Jul 6, 20:37 -0700
From: Frank Reed
Date: 2009 Jul 6, 20:37 -0700
Douglas, you wrote: "I note the practical results of horizon index error measurement here by Mr. Rudzinski, and of the results in the paper by Gordon; and the results posted by others here, amount to around 0.4 minute of arc to one minute of arc. The cone diameter is about 0.4 minute of arc. 'Normal' visual acuity (depending on the target type) is between 0.4 and one minute of arc. Curious coincincidence, do you not think?" But a coincidence nevertheless. The visual acuity of the human eye is NOT the limiting factor in LOP sights such as in that article. Let's consider a simple experiment. You want to determine the resolution of a telescope and compare it with the normal resolution of the human eye. So you get out a standard eyechart. Let's make it one of those "Snellen E" charts where you look at a row of capital E's in various orientations. Now, wearing appropriate eyeglasses, let's suppose I can read the 20/20 line at a distance of 20 feet and maybe a little farther. So that makes my vision 20/20 or a little better and implies a resolution of 1.0 minuutes of arc or a little better. NOW, we grab a 7x telescope from a sextant case. I assume that this is a decent telescope with good quality optics. I step back to a distance of 140 feet with the 7x telescope in my hand. Looking at the chart with my eyes (plus eyeglasses), that 20/20 line is now unreadable --the E's are no more than dots. But when I hold the telescope up to my eye, I can read it just at the limit of my resolution, exactly as I could read it when I was twenty feet away without a telescope. The elements of those E's are reduced in size by a factor of seven because I am seven times further away. But the telescope magnifies them by a factor of seven and my eye is presented with an image that is identical to what I could see at 20 feet without the telescope. The telescope allows me to resolve features that are approximately 0.14 minute of arc in angular size. -FER --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---