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    About French (in)accuracy. was :Lunars for dummies like me
    From: Zorbec Legras
    Date: 2004 Sep 26, 16:08 +0000

    George Said: "So I ask Zorbec, what moment, around sunrise, do French 
    navigators choose to time when they adopt this procedure? Do they make any 
    adjustment to allow for refraction; or is any such adjustment included in the 
    tables?"
    
    The tables give the result of the formula P = TanLat Tandec.
    Since sin/cos = tan, P = sinLat sindec/ cosLat cosdec
    With a correction, it is the instant of rise for the center of the sun on the celestial horizon
    
    When a French navigator wants an exact instant, he takes it from the almanach 
    (Ephemerides nautiques) or he computes it.
    For exemple  the rising time "Trs" of the sun is computed with a given altitude of : minus 53'.
    Why 53', let say it's French inaccuracy...
    
    P = asin( sin - 53' - ( sin lat sin dec) / (cos lat cos dec))
    Trs = 12 - P - Eq.
    
    So, on 25/09 Lat : 50 N, dec : 1 05.7 S, Hv : - 0 53', Eq = 8mn27.9sec
    Asked : time of sunrise ?
    
    P = asin( sin -0 53' - (sin 50 sin 1 05.7)/(cos50 cos 1 05.7)
    P = 90 4.2' = 6h 0.3mn
    
    12-P-Eq = 5h 51mn 20.1sec as a first approximation,
    a second computation gives  5h 50mn 50.1sec
    
    At this time the French navigator can continue the iteration or he can take 
    the mean value between the limits.
    
    The mean value is 0h 0mn 15sec and the asked result is 5h 51mn 05.1sec.
    Very close to the nautical almanach which gives 5h51mn, but certainly closer to the real value.
    
    
    
    --
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