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    Re: Exercise #6, Lunars at sea
    From: Frank Reed
    Date: 2008 Jun 01, 17:31 -0400

    Jeremy, you wrote:
    "AM Lunars (T/P 84 F & 1010 mb, HE 106', IE 0.0)  All Moon to Jupiter Lunars
    (far limb)
    1)      DR Lat 15deg 04.9'N Long 145 deg 04.1' E.  LDs 54 deg 39.8' at 18h
    44m 03s.  Frank's page gave me a LDc of 54deg 03.7' and a LDo of 54deg 04.0'
    giving an error of 0.3' of arc or 7.2' error in Longitude (my best one of
    the lot)
    
    2)      DR Lat 15deg 04.0'N Long 145deg 04.4'E.  LDs 54deg 40.4' at 18h 48m
    10s.  Frank's page gave me a LDc of 54deg 06.0' and a LDo of 54-05.3' for an
    error of 0.7' of arc or 20.8' error in Longitude.
    
    3)      DR Lat 15deg 03.4'N Long 145deg 04.6'E  LDs 54deg 42.5' at 18h 50m
    45s. Frank's page gave me a LDc of 54 deg 07.5' and LDo of 54-07.9' for an
    error of 0.4' of arc or 13' error in Longitude. "
    
    Notice how averaging would help you here. The errors in the LD's are -0.3,
    +0.7, -0.4. And the average is [drum roll, please...] exactly ZERO! This is
    partly accidental in this case, of course, but you will find that the
    results are almost always better when you average a set of three to five.
    Averaging the errors after the reduction is not quite the same as averaging
    the sights and times before reduction, but it's nearly so. And just to
    reiterate, this was the normal historical approach.
    
    By the way, if you want to think about lunar distance observations
    differently, each lunar generates a line of position, which you could plot
    on a chart just like any other LOP. But unlike standard altitude LOPs, an
    error of 0.1 minutes of arc in a lunar distance observation implies a 6 n.m.
    error in the lunar LOP. One advantage is that you can shoot lunars when the
    horizon is hidden. Cross two lunar LOPs and you get a rough position fix.
    
     -FER
    PS: I think my email server is acting up again so I am re-sending this.
    Apologies if it turns up on the list twice.
    
    
    
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