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Sextant Telescope Collimation
From: Frank Reed CT
Date: 2005 Oct 18, 16:38 EDT
From: Frank Reed CT
Date: 2005 Oct 18, 16:38 EDT
SEXTANT TELESCOPE COLLIMATION If the telescope of a sextant is not exactly parallel with the instrument's frame, the instrument will measure large angles to be too large. The error is proportional to the square of the telescope's tilt and proportional to the tangent of half of the measured angle. I've been testing a group of sextants in the past two weeks, and all of them had significant telescope collimation problems that could easily yield errors of one to ten minutes of arc. So how do we test it, and how do we fix it? To test for telescope collimation problems, measure a large angle --ninety degrees or more. Any star-to-star distance will work for this, but they should be distinguishable (one considerably brighter for example). A terrestial angle will work, too. Bring the two objects together in perfect contact near the center of the telescope's field of view. Then rotate the sextant so that the two stars move across the field of view towards and away from the instrument's frame. The stars will separate slightly. If the telscope is properly collimated, they will separate symmetrically. That is, you will find that the stars are a couple of minutes apart when the stars are on the right side of the field of view, in contact at the center of the field of view, and a couple of minutes apart again when they are on the left side of the field of view. If the test reveals that the telescope is not correctly collimated, then it should be adjusted. To collimate the sextant telescope, you'll need a large room or hall twenty feet or more in length. You'll also need a small straight telescope, like a finder scope for a larger telescope or an old-fashioned sextant telescope, or alternatively a laser level (there are sufficiently accurate levels available in hardware stores for $10 to $15). You'll also probably need a couple of blocks about half an inch high and as identical as possible to support the leveling scope. Set the sextant on its side on a table at one end of the room. Swing the index arm as far out of the way as possible. Place the blocks on the sextant's arc (or frame if it's flat enough) and then set the leveling telescope or laser level on the blocks. Now turn on the laser or look through the leveling telescope. Assuming this telescope has crosshairs in the field of view, you can now mark a spot on the wall at the far end of the room that will be your reference point for collimating the sextant's telescope. If you're using a laser level, you've already got your reference point. Take a look at your sexant's telescope and estimate how much farther it is away from your sextant's frame than your leveling scope or laser level. Let's suppose it's half an inch. Now look through the sextant's scope at the far wall. The center of the field of view should be a spot that is that same half an inch higher than the the reference point. But since we already know that the telescope is not correctly collimated, it's probably aimed a considerable distance above or below the correct level. If you find it difficult to locate the center of the field of view, draw some horizontal lines on the wall and count off. Now adjust the telescope's aim with the screws or knobs for this purpose on the sextant until the center of the field of view is exactly aimed half an inch (or whatever height difference you find) above the reference point from the laser or leveling telescope. You should try to get this alignment to the nearest inch or so if the far wall is twenty feet away. If you can get the alignment accurate to this level, the error in measured angles will be less than 0.1 arcminutes even at measured angles of 120 degrees. That is, a tilt of one inch in twenty feet (20 ft 4 inches, to be precise) is essentially perfect for all sextant angles. Generally, the error, dh, in the measured angle, h, from telescope tilt, T, is dh=T^2 * tan(h/2). Or, if x is the aiming error measured on the wall and D is the distance to the wall, then the error in minutes or arc is dh=3438*(x/D)^2*tan(h/2). It turns out that this is a relatively easy procedure, and it's well worth trying. Many sextants include small screws or knobs that allow the telescope's inclination to be adjusted. But if your sextant doesn't, you'll need to improvise some sort of "shimming" system. -FER 42.0N 87.7W, or 41.4N 72.1W. www.HistoricalAtlas.com/lunars