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Re: What do "d" and "v" really stand for?
From: Gary LaPook
Date: 2008 Jun 19, 21:35 -0700
From: Gary LaPook
Date: 2008 Jun 19, 21:35 -0700
Look at article 1903 in Bowditch, available here: http://www.nga.mil/MSISiteContent/StaticFiles/NAV_PUBS/APN/Chapt-19.pdf "v, the difference between the actual change in GHA in one hour and a constant value used in the interpolation tables; and d, the change in declination in one hour." gl On Jun 19, 10:41 pm, glap...@pacbell.net wrote: > Here are excerpts from the 1937 N.A The first page shows the time of > transit of the moon of the Greenwich meridian and contains a "Var. per > hour" column, variation?, the change in declination inone hour." > > http://www.geocities.com/fredienoonan/almanac-1937-136.JPG > > The second page contains moon data showing GHA and DEC and has > separate increments tables for each day based on the the dec change > and GHA change rates for that particular day. no "v" or "d" correction > factors are shown. > > http://www.geocities.com/fredienoonan/almanac.html > > This third link takes you to a site I put up with with excerpts of > various navigation texts. > > http://www.geocities.com/fredienoonan/ > > gl > > On Jun 19, 9:00 pm, frankr...@HistoricalAtlas.net wrote: > > > Greg, you asked: > > "And maybe that's going to be about as good an answer as we can hope for > > at this point in time - does anyone know when "d" and "v" terms first > > showed up in the NA as such? There might be more elaboration about what > > the abbreviations stood for when they were first introduced." > > > Yes, that's basically what I was providing you in the previous message. The > > labels "v" and "d" first appear in the "Abridged Nautical Almanac" in 1952. > > This is the earliest date when the official British almanac included GHA. > > This had been introduced 18 years earlier in the American Nautical Almanac, > > and it was also widely used in the various air almanacs. As I said, the > > concept of the interpolation constant at the foot of each column on the > > almanac page was already present in the American almanac where it was called > > a "code". I also checked a couple of commercial British almanacs from this > > period (the commercial British almanacs adopted GHA well before the official > > British almanac). They use a similar principle but again not labeled v and > > d. So my best guess right now is that the first use of these specific labels > > for the interpolation data is the British "Abridged Nautical Almanac" in > > 1952. Here's the full text from the explanation in the AbNA for 1953: > > "Interpolation between the tabulated hourly values is provided for by > > comprehensive interpolation tables, printed on coloured pages at the end of > > the book, giving for every minute and every second the increments of G.H.A. > > corresponding to the mean rate of increase for the Sun (15� precisely), the > > constant rate for Aries (15� 02'.46) and the minimum rate for the Moon (14� > > 19'.0). The variations from the means are so small for the Sun that they > > have been deliberately ignored; the tabulated hourly values of the Sun's > > G.H.A. have been adjusted so that the error thus caused is a minimum. These > > variations cannot be ignored for the planets or for the Moon, and > > corrections have to be made for the excess (v) in hourly motion over that > > adopted in the main interpolation tables." > > > So there's an answer: v stands for "excess". :-) > > > In the next paragraph: > > "The corrections for these VARIATIONS [...] are taken directly from the > > interpolation tables with argument v" and "A similar procedure is used to > > interpolate the declinations of the Sun, Moon and planets; here d, the > > hourly DIFFERENCE, is given without sign on the daily pages" (I have > > capitalized those two words for emphasis). So if you must assign a meaning > > to v and d, I think the best bets are "variation" (of the rate of change of > > GHA from the selected mean rate) and "difference," but the catch is that the > > person who wrote this explanatory section may very well have invented those > > origins on the spot. > > > By 1958, when the modern Nautical Almanac was formed by the merger of the > > American Nautical Almanac and the Abridged Nautical Almanac (they kept their > > separate names until 1960), the explanation simply refers to v and d values > > with no hint of any etymology. Same in Bowditch of the same era. I think > > this is intentional. The labels v and d really are not intended to "stand > > for" anything. > > > -FER --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---