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Frederico,

 

Glad you worked them out.  I didn't bother posting a solution as such.  Basically the given 1900 ZT position is a GPS fix, so that is what we can assume to be the true position, and the celestial fix is an error check of the GPS position (please no arguments on this point as it is beyond the scope of this exercise.)

 

I plugged each moonline into my celestial program (SkyMate Pro) as individual moon LOP's.  The computer then compared them and gave me a fix of 14 deg 14.9' North; Longitude 142 deg 51.9' East at 1900.  This is a 1.7 nm error as compared to the 1900 fix via GPS.

 

The trouble with crossing an averaged LOP in this case with a course line is that it does not give us a fix, but rather an "estimated position."

 

This is an experiment I did to see if a fairly large number of sights of the same body, shot in a relatively short period of time, could give us a position of reasonable accuracy away from meridian transit.  As we can see, it is fairly accurate, certainly accurate enough for a deep sea position.  The position probably would be more accurate if the change in azimuth of the body was greater then 5.5 degrees, but that is why I shot the moon, as the azimuth is changing rapidly, even away from the time or meridian transit.

 

Jeremy