# NavList:

## A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

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Longitude by Sunrise example
From: Jeremy C
Date: 2010 Feb 4, 10:11 EST
I commented on the article online and asked if he had rough error expectations as well as asking him for some sort of real world data if it was available.  I suspect that there is little to be had, which just means that I will have to do some observations this Spring when I am on my ship.  I'll try to take several, and also repeat my LOP experiment.

I will start a new thread with my example of ultra-low altitude LOP's.  I did indeed take into account T/P, which I do for all sights, especially below 10 degrees Hs.  I am at the point in my quest for precision that I account for any and all factors even if they are 0.1' of arc. I just looked in my NavLog again and I made an error (I left in my index error, despite not using a sextant for this observation.)  I will correct it and will get slightly better result, although still not particularly good.

Typing this has gotten me thinking. I can probably re-create a Long by sunset with my sunset LOP data from this past summer.

If anyone else would like to join me, here is the data.

On 1 July 2009, the 1900 ZT (ZD -9) DR is Lat 17 deg N; Longitude 129 deg E.  The course is 190 deg T and the speed is 13.2 knots.  Temp is 82 deg F and Pressure is 1008 MB.

1) Determine time of sunset

The lower limb of the sun touches the visible horizon at 18:58:16 ZT and the upper limb touches at 19:00:48 ZT.

2) Determine Longitude at sunset.
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Since I don't have a paper NA, I can't calculate LMT of the sunset since my program directly gives me ZT.  This will not allow me to follow David's method's directly.  I can do it in a round about way by comparing the time difference in local time.

1) I have a sunset at zone time of 19:01:39 at the DR position.

2) Delta-T is 3m 23 seconds between the calculated Sunset and when the LL touches the visible horizon. This is equal to 50.8' of arc .  That would give me a Longitude of 129 deg 50.8' East since the sun set earlier we must be more to the East of our DR.  The GPS Longitude was 129 deg 7.5'E  That is a difference of 43.3' of Longitude which is a significant error.  Now I will admit that the DR Latitude is nearly 30 minutes off of the GPS Latitude which will account for an error in sunset and therefore longitude.

If we correct the DR to the GPS position and recalculate sunset we get 19:00:18.  This reduces the delta-T to 2 min 2 seconds.  This is 30.5' arc.  This gives us an error of 23' of longitude, which is still significant.

I am not too confident that I will get much better results in more observations.

I will be interested to see the results using the tabular methods of sunset as opposed to the software I use.

Jeremy
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