NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: A basic sight reduction question
From: Stan K
Date: 2012 Apr 4, 14:39 -0400
From: Stan K
Date: 2012 Apr 4, 14:39 -0400
Alex,
Of course I am only referring to bodies that have v or d corrections, but that is not important. What is important is that you agree with me that the explanation in the Almanac needs help !
The more I think about this, the crazier I get. OK, for whole hours do not apply a v or d correction, but when should you start applying it? For 0 minutes and 1 second? 0 minutes and 30 seconds? It won't affect the answer by more than 0.1' (OK, 0.2' if the v or d value is 18.0', but when does that ever happen?), but I'm more concerned about what to tell students about reducing a sight using a typical paper form.
If I can only find an e-mail address for someone in the UK Hydrographic Office...
Stan
Of course I am only referring to bodies that have v or d corrections, but that is not important. What is important is that you agree with me that the explanation in the Almanac needs help !
The more I think about this, the crazier I get. OK, for whole hours do not apply a v or d correction, but when should you start applying it? For 0 minutes and 1 second? 0 minutes and 30 seconds? It won't affect the answer by more than 0.1' (OK, 0.2' if the v or d value is 18.0', but when does that ever happen?), but I'm more concerned about what to tell students about reducing a sight using a typical paper form.
If I can only find an e-mail address for someone in the UK Hydrographic Office...
Stan
-----Original Message-----
From: Alexandre E Eremenko <eremenko@math.purdue.edu>
To: NavList <NavList@fer3.com>
Sent: Wed, Apr 4, 2012 2:08 pm
Subject: [NavList] Re: A basic sight reduction question
From: Alexandre E Eremenko <eremenko@math.purdue.edu>
To: NavList <NavList@fer3.com>
Sent: Wed, Apr 4, 2012 2:08 pm
Subject: [NavList] Re: A basic sight reduction question
Stan, There is no v correction for Sun in the Almanac. And they explain on p. 255, 4. "v is zero for Aries and negligible for Sun". Thus the Sun GHA at x hours 0 minutes 0 seconds is exactly what the daily page of the almanac says. There is no d correction for Aries. Aries declination is always 0. There is d correction for Sun, but it is small, usually less that 1.0. If you look for the correction for d=1.0 at the Corrections tables for 0 minutes, you see that the correction is 0. Thus the data on daily page for x hour 0 minutes 0 seconds is exact, (or has negiligible error for Sun) and the use of Correction table is not needed for this case. The explanation in the Almanac is complete but very brief, indeed, I agree. Alex. On Wed, 4 Apr 2012, Stan K wrote: > > > Gary, > > Yes, it seems like nobody ever noticed that situation! > > I understand all this, but it doesn't help. The problem is not with the mathematics but with the proper procedure when doing an "on paper" sight reduction, i.e. with a typical sight reduction form. It still seems that if you follow the instructions in the Almanac, for the 0 minutes case we are discussing, any time the v or d value is between 6.0' and 17.9', for example, you would be adding a v or d correction of 0.1' to the hour value on the daily page, which appears incorrect. > And when would the v and d data of the 0 minutes column ever be used? When there are 0 minutes but non-zero seconds? Not according to the Almanac instructions. > > I've looked for an e-mail address for someone at the UK Hydrographic Office. Know of any? > > Stan > > > > > > -----Original Message----- > From: Gary LaPook <garylapook---net> > To: NavList <NavList@fer3.com> > Sent: Wed, Apr 4, 2012 12:46 pm > Subject: [NavList] Re: A basic sight reduction question > > > > > I never noticed the situation that you pointed out. The answer is that the "v" and "d" correction tables in the N.A. are simply multiplication tables, multiplying the "v" and "d" factors (which are simply how much the body changes its position in one hour) by the proportion it will change in a period less than a full hour. Since the tables only list correction for whole minutes they are actually the average correction for the whole minute tabulation so they are actually calculated for m + 30 seconds. They can be considered precise only for the +30 sec case and approximate for other times. If you wanted more precision then just divide the "v" or "d" by 3600 and multiply by the number of seconds after "on the hour." If you do it this way then you will find the correction for "on the hour" is zero, zero seconds times any "v" or "d" value will always equal zero. But you are trying to make it too hard on yourself. > > gl > --- On Wed, 4/4/12, slk1000---com <slk1000---com> wrote: > > > From: slk1000---com <slk1000---com> > Subject: [NavList] A basic sight reduction question > To: navlist---org > Cc: slk1000---com > Date: Wednesday, April 4, 2012, 6:50 AM > > > > I have always though that the hour values of GHA and Dec on the daily pages of the Nautical Almanac were "exact" (on page 255 of the Nautical Almanac: "The daily pages give the GHA and Dec...for each hour of UT."), and that everything else (minute/second GHA increment and v and d values and corrections) concerned adjustments for sights not being taken on the hour. Now I am not so sure. > > For the first time, I have had to concern myself with sights taken on the whole hour (minutes and seconds are zero), and I am not clear as to how they should be handled. Based on my original thinking, just use the hour value of GHA/Dec, and nothing more. But according to page 256 of the Nautical Almanac: "The table of Increments and Correction for the minute of UT is then selected. For the GHA, the increment for minutes and seconds is taken from the appropriate column opposite the seconds of UT; the v-correction is taken from the second part of the same table opposite the value of v as given on the daily pages." So if the minutes value is zero, you go into the 0 minute block (the "same table") with the value of v from the daily pages and extract the value of the v correction, no? (This all applies to Dec also.) > > If this is wrong, then why show v/d values and corrections for 0 minutes at all? Where would they be used? > > And then what if the minutes are zero but the seconds are not? Is that another "special case"? > > Practically speaking, this is no big deal, since the v/d correction is either 0.0', 0.1', or 0.2' (and that only for a v/d value of 18.0') for 0 minutes, but using the corrections for whole hours is either right or wrong. I cannot find any examples showing this situation. > > Am I way off base here, or does the explanation in the Almanac leave something to be desired? > > Hard to believe that for all the time I have been doing CN, this is the first time I have asked myself these questions. > > Stan > > > > > > > > > > > > > > > > > : http://fer3.com/arc/m2.aspx?i=118693 > > >