11-21-2023, 05:13 PM
(03-13-2023, 08:10 AM)c_davidson Wrote: Mike,
If the heavenly body's declination is Contrary name to your DR Latitude enter a negative sign before it.
Pretty easy.
Clen
Hello again,
Apologies for the tardy response, I have just got around to having a proper look at the "proper formula" and as I think I have got it sorted I thought I would post my calculations.
As I indicated above I do have a dozen practice sights already worked out using sight reduction tables AP3270.
First one as follows
DR 49 17.4N Adjusted to 49 degrees N
017 14.3W
Dec 15 38.2N Converted to 15.6366 degrees
LHA 302 09.5 Adjusted to 302 degrees
As I am using a calculator I am aware I do not need to adjust DR Lat and LHA but to get a proper comparison with AP3270 I will use the same figures.
Hc using AP3270 is 32 degrees 33 minutes
Using proper formula------
Hc = sin -1 sin dec x sin lat + cos lat x cos dec x cos LHA
Hc = sin -1 0.2695 x 0.7547 + 0.6560 x 0.9629 x 0.5299
Hc = sin -1 0.2033 + 0.3347
Hc = sin -1 0.538
Hc = 32.5475 degrees (inverse sin) ? On my calculator (2nd Function) (sin)
0.5475 x 0.6 = 32.8
Hc = 32 degrees 32.8 minutes (Just 2 tenths different to AP3270)
Having adjusted DR Lat to 49 degrees this will become the Lat of my AP. but what is the longitude? As I have adjusted LHA by 09.5 minutes surely I should also adjust DR longitude by 09.5 minutes. In the moderate amount of study I have undertaken into celestial navigation I cannot remember this being made clear, it just seems logical. Therefore my DR longitude of 017 14.3 needs 09.5 adding = 17 degrees 23.8 minutes. Is this correct???.
Final AP ready to plot is
49 degrees N
017 degrees 23.8 minutes W
Delighted to have any of my misunderstandings corrected.
Thanks
Mike