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    Re: What do "d" and "v" really stand for?
    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
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