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    Re: sight reduction with GPS receiver
    From: Bill B
    Date: 2005 Mar 18, 20:05 -0500

    Paul
    
    You stated, "My receiver says 132 T and 2232 miles."  As I noted a few weeks
    ago I was surprised to learn my Garmin 76 large digital pocket watch gave
    not only great-circle distance, but continually updated great-circle course
    between two points as well.
    
    I tried your suggestion and received the same course, and distance within 3
    nm. My confusion is that 132d is the starting course of a great-circle
    route.  I am having trouble understanding why that would be my azimuth.
    (spherical trig is still a plug-and-chug function for me).
    
    Bill
    
    
    
    > There are other ways a GPS receiver can assist with traditional
    > navigation. For example, let's try a sight reduction. I've mentioned
    > that possibility on the list before, but didn't explain how to do it
    > in detail. So here goes.
    >
    > Dead reckoning position is 25 51 N 069 25 W on 2005 Mar 17 1500Z. Load
    > that position into the receiver as waypoint DR1.
    >
    > At that position we do a sextant sun shot. Ho = 52 39.
    >
    > Almanac says Sun GHA = 42 55.6, dec = S 1 08.7. Load the Sun's
    > geographical position as waypoint GP1, using GHA as the west
    > longitude. (If GHA is greater than 180 the receiver will probably
    > reject it as a west longitude. In that case, convert to the equivalent
    > east longitude.)
    >
    > Now use the receiver's route function to find the bearing and distance
    > from DR1 to GP1. My receiver says 132 T and 2232 miles. Convert the
    > latter to degrees and minutes (60 miles = 1 degree): 37 12. Hc is 90
    > degrees minus that angle, or 52 48.
    >
    > The USNO online sight reduction calc says Zn = 132.5, Hc = 52 48.3.
    > Close enough!
    >
    > Ho is 9 minutes less than Hc. If desired, that correction can be
    > applied to the DR position without any plotting: use the receiver's
    > waypoint projection feature to set a waypoint 9 miles from DR1 in the
    > opposite direction from the Sun. I get 25 57.0 N 069 32.4 W. Save that
    > as the estimated position.
    
    
    

       
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