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Re: Error of Perpendicularity
From: Robert Eno
Date: 2006 Apr 17, 20:56 -0400
From: Robert Eno
Date: 2006 Apr 17, 20:56 -0400
Thanks Alexander Quick question: Does the ^ symbol represent multiplication? I am having a bit of trouble following the sequence of calculations in the formula. Any chance of your scanning in that particular page and sending to me? I've always wanted a copy of Chauvenet but the $300 plus price tag deters me. cheers, Robert ----- Original Message ----- From: "Alexandre E Eremenko"To: Sent: Monday, April 17, 2006 2:21 PM Subject: Re: Error of Perpendicularity > Dear Robert, > The only book I know that contains a COMPLETE > theory of sextant is Chauvenet. (I am sure that there > are others, but this is really complete, very concise, > and written in good English:-) > > In particular, on p. 115 (vol. 2) the following formula > is derived: > Err=-2 L^2 sin1" tan(h/4), > where Err is the resulting error, in seconds > L is the deviation of your mirror from > perpendicularity (in seconds) and h the angle you measure. > > In more modern notation this becomes: > Err=-0.00057 L^2 tan(h/4) > where both Err and L are in minutes now. > > For example, if L=5' > Then Err=0.008 or 05", which is completely negligible. > > Now, according to SNO manual, you can adjust this mirror > (using special factory-supplied visors in place of dominoes) > > That's why visual adjustment (without dominoes) is OK too. > Two years ago there was a large discussion on the list about > how exactly to do this adjustment, and the general conclusion > was that dominoes (or visors) are only recommended for sextants > with front-silvered index mirros. > For back silvered mirrors, the usual eye method is OK. > > Alex >