NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Semi-diameter in the Nautical Almanac
From: Greg Rudzinski
Date: 2009 Dec 22, 15:10 -0800
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 LaPookwrote: > 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