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Re: averaging devices on sextants
From: Alexandre Eremenko
Date: 2004 Oct 8, 09:06 -0500
From: Alexandre Eremenko
Date: 2004 Oct 8, 09:06 -0500
Thank you to all for interesting information in reply to "Averaging". There is one point on which I think additional comment is necessary: On Thu, 7 Oct 2004, Ken Gebhart wrote: > The idea of averaging sextant readings using a marine sextant, > (ie. instead > of using a bubble), really has no basis because acceleration > has no effect > on it. The procedure of averaging observations using a marine sextant is recommended by many books and manuals, from XVIII century to these days. It is not specific to bubble horizons or effects of acceleration. It is also used on land. The purpose of this procedure is to increase precision. In fact this is a standard procedure increasing accuracy of ANY scientific measurements. The theoretical foundation of this procedure lies in the "Method of Least Squares" by Gauss. The most comprehensive discussion in the context of practical astronomy of this theoretical basis is contained in the last chapter of Chauvenet's 2-nd volume. The specific of aerial observations is that the random error coming from acceleration is very large, and the averaging has to be done quickly. That's why they have a built-in mechanism, integrator, that does it automatically. Alex.