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    Re: Semi-diameter in the Nautical Almanac
    From: Greg Rudzinski
    Date: 2009 Dec 22, 15:10 -0800

    Gary,
    
    Yes you are right that 16' is good enough but since the tenths are
    available I use them. The only other reason to need the S.D. is if the
    star refraction table is summed with the S.D. as navigators
    preference.
    
    Greg
    
    On Dec 22, 1:11�pm, Gary LaPook  wrote:
    > Greg Rudzinski wrote:
    >
    > "I use the Nautical Almanac S.D. figure for two practical applications.
    > The first is for an initial adjustment of a horizon mirror that is way
    > out of calibration or newly installed.
    >
    > Step 1. The micrometer drum is preset to double the Nautical Almanac
    > S.D. figure on the arc (Generally this would be around 0 32.0').
    > Step 2. The Sun's limbs are lined up with the upper limb touching the
    > lower limb by using the adjustment tool on the horizon mirror.
    >
    > This technique usually gets my index error within plus or minus two
    > minutes of arc on the first try."
    >
    > ------------------------------------------------------------------------
    >
    > But just using the constant of 16' for S.D. would get you that close so no 
    need for the daily listing of S.D. to a tenth of a minute.
    >
    > --------------------------------------------------------------------------- ----------------------
    >
    > Greg Rudzinski also wrote:
    >
    > "The second practical application is for correcting my bubble sextant
    > reading to read as a lower or upper limb reading for entry into my
    > Palm PDA CN application which is formated for horizon reference."
    >
    > --------------------------------------------------------------------------- --
    >
    > Again, considering the level of accuracy from a bubble sextant, using the 
    constant of 16' is sufficiently accurate.
    >
    > gl
    >
    > Greg Rudzinski wrote:
    > > I use the Nautical Almanac S.D. figure for two practical applications.
    > > The first is for an initial adjustment of a horizon mirror that is way
    > > out of calibration or newly installed.
    >
    > > Step 1. The micrometer drum is preset to double the Nautical Almanac
    > > S.D. figure on the arc (Generally this would be around 0 32.0').
    > > Step 2. The Sun's limbs are lined up with the upper limb touching the
    > > lower limb by using the adjustment tool on the horizon mirror.
    >
    > > This technique usually gets my index error within plus or minus two
    > > minutes of arc on the first try.
    >
    > > The second practical application is for correcting my bubble sextant
    > > reading to read as a lower or upper limb reading for entry into my
    > > Palm PDA CN application which is formated for horizon reference.
    >
    > > On Dec 22, 4:36 am, Gary LaPook  wrote:
    >
    > >> Frank wrote:
    >
    > >> "There is one very small practical use for the lunar and solar
    > >> semi-diameters. If you use the Sun and Moon to get an index correction
    > >> by bringing alternate limbs together, you also simultaneously measure
    > >> the diameter of the object (but only if side error has been rigorously
    > >> eliminated which is otherwise fairly pointless). By comparing the
    > >> measured SD with the tabulated SD, we get a sanity check on the index
    > >> correction. This little trick was even known back in the 19th century."
    > >> 
    --------------------------------------------------------------------------- 
    -------------------------------------------------------------------
    >
    > >> I like that method of checking index error because you get repeatable
    > >> results since the variations in the horizon go away. But you don't need
    > >> to know the S.D. to do it and it really doesn't provide a "sanity check"
    > >> all it does is give you a measure of the accuracy of the scale between
    > >> plus and minus about half a degree. This type of check can be done with
    > >> any far away object such as a building or telephone pole, the actual
    > >> width of the object makes no difference in finding the index error.
    >
    > >> BTW, I have a different way of doing the calculation which I think is
    > >> easier.The normal way is to touch the edges of the sun together both
    > >> above and below and you get readings of, say, 36' on the arc and then a
    > >> reading on the micrometer of 32' with the main index below zero. The
    > >> normal way to handle these readings is to subtract the micrometer
    > >> reading of the below zero reading from 60' to determine how far below
    > >> the zero mark this reading is, in this case it is 28' below zero. You
    > >> then subtract the below zero reading (the "off the arc"reading) from the
    > >> "on the arc" reading and divide the result by two to determine the index
    > >> error. So. using this example, 36 - 28 = 8 divided by 2 gives an index
    > >> error of 4' on the arc.
    >
    > >> The method I use is slightly different. I simply treat the off the arc
    > >> reading much like the characteristic of a logarithm. In the example, the
    > >> below zero reading is 32 with an understood -60 behind it. So I add the
    > >> two readings from the micrometer, 36 + 32 = 68 minus the understood 60 =
    > >> 8 divided by 2 = 4, the same answer but easier to do in your head.
    >
    > >> gl
    >
    > >> frankr...@HistoricalAtlas.com wrote:
    >
    > >>> Gary, you wrote:
    > >>> "We are all familiar with the semi-diameter of the sun and of the moon
    > >>> being tabulated on each of the daily pages of the Nautical Almanac. My
    > >>> question is "why?" There is no place where you use this bit of
    > >>> information when using the N.A. "
    >
    > >>> Because it's not perfect? :-) I'm serious. I think it's just that
    > >>> simple. The changes made during the 1950s resulting in the modern
    > >>> Nautical Almanac in 1958, very nearly unchanged right through the
    > >>> present, were mostly excellent, but they missed a few things, and
    > >>> there are some features which are either unnecessary or less than
    > >>> optimally presented. There's probably no point in changing it now,
    > >>> except in private substitute almanacs, since celestial navigation is
    > >>> essentially dead from a practical standpoint.
    >
    > >>> There is one very small practical use for the lunar and solar
    > >>> semi-diameters. If you use the Sun and Moon to get an index correction
    > >>> by bringing alternate limbs together, you also simultaneously measure
    > >>> the diameter of the object (but only if side error has been rigorously
    > >>> eliminated which is otherwise fairly pointless). By comparing the
    > >>> measured SD with the tabulated SD, we get a sanity check on the index
    > >>> correction. This little trick was even known back in the 19th century.
    >
    > >>> you also wrote:
    > >>> "I am also curious why the sun correction table has only two
    > >>> tabulations allowing for only two S.D. values when the S.D. of the sun
    > >>> includes six different values during the year from15.8 to 16.3
    > >>> minutes. This unnecessarily limits the accuracy of the sun corrections. "
    >
    > >>> Yeah, this one has puzzled me, too. Clearly, whatever committee
    > >>> decided back in the 1950s that those two columns were sufficient felt
    > >>> that this was "good enough" for the accuracy of celestial navigation
    > >>> as practiced at that time. It seems like it would have been "nice" to
    > >>> include a monthly or bi-monthly table for the Sun, or, as you suggest,
    > >>> to provide an alternate method allowing the calculation by separate
    > >>> steps. This sort of table, as published in the N.A., combining
    > >>> refraction, parallax, and semi-diameter was seen as a great
    > >>> improvement back in the middle of the 20th century. This calculation
    > >>> had "normally" been done in three separate steps for the previous
    > >>> fifty to one hundred years. Even earlier, it was not uncommon to use
    > >>> an altitude correction that combined dip with semi-diameter: +12' for
    > >>> a lower limb Moon or Sun sight, -20' for an upper limb sight. You can
    > >>> find these corrections in most older navigation manuals (especially
    > >>> for correcting the altitudes in lunar observations since a few minutes
    > >>> of arc error in altitudes for clearing lunars doesn't matter).
    >
    > >>> -FER
    >
    > >>> --
    > >>> NavList message boards:www.fer3.com/arc
    > >>> Or post by email to: NavList@fer3.com
    > >>> To , email NavList+@fer3.com
    
    -- 
    NavList message boards: www.fer3.com/arc
    Or post by email to: NavList@fer3.com
    To , email NavList+@fer3.com
    

       
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