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    Interpolation for latitude
    From: Ark Shvetsky
    Date: 2009 Nov 12, 19:24 -0800

    Greetings,
    
    First, I'm really grateful for a lot of very useful information and great 
    explanation regarding mu humble question/mistake.  I really do appreciate 
    your time and your responses. 
    
    Now, to the point:
    
     below is the copy of Bowditch , Article 1809 per Gary's recommendation.  Now 
    let me in a few brief sentences write the way I understand my mistake:
    
    As it was mentioned in one of the responses to my initial post, the correction 
    for longitude is needed when dealing with nav., civil, twilight phenomena.
    
    I understand that the time of these phenomena are needed for pre-computation 
    of the altitudes of the stars most suitable for the morning (f.e) star sights 
    (or some planets also) and the time of civil twilight for the evening star 
    sights.
    
    In the NA, time for all twilight phenomena are "corresponding" to the time zone meridian. 
    
    So, if I'm at Long 88 deg. West I need to correct the time I took from the NA 
    corresponding to my DR lat for the twilight phenomenon.
    
     As I know that each time zone equal 15 deg long.(or 1 hour in time) and each 
    has its time zone meridian which is at 7.5 deg from "each end" of a time 
    zone, I need to find the delta between my DR long and time zone meridian and 
    convert this delta into time units, subtracting it (because 88 deg is east of 
    90 deg) from the time for this twilight phenomenon which I took from the NA 
    corresponding to my DR Lat.
    
    Or , even simplier, like it was shown by Jerry in his attached worksheet calc.
    
    If my understanding is correct, I just need to practice to make it as 
    "ingrained" algorithm for correct way to perform this type of calculation.  
    Pretty much like anything else we want to be sure we do.
     
    From Bowditch, Art 1809
    
    Local mean time (LMT), like zone time, uses the
    mean sun as the celestial reference point. It differs from
    zone time in that the local meridian is used as the terrestrial
    reference, rather than a zone meridian. Thus, the local mean
    time at each meridian differs from every other meridian, the
    difference being equal to the difference of longitude expressed
    in time units. At each zone meridian, including 0�,
    LMT and ZT are identical.
    In navigation the principal use of LMT is in rising, setting,
    and twilight tables. The problem is usually one of
    converting the LMT taken from the table to ZT. At sea, the
    difference between the times is normally not more than
    30m, and the conversion is made directly, without finding
    GMT as an intermediate step. This is done by applying a
    correction equal to the difference of longitude. If the observer
    is west of the time meridian, the correction is added,
    and if east of it, the correction is subtracted. If Greenwich
    time is desired, it is found from ZT.
    Where there is an irregular zone boundary, the longitude
    may differ by more than 7.5� (30m) from the time meridian.
    If LMT is to be corrected to daylight saving time, the
    difference in longitude between the local and time meridian
    can be used, or the ZT can first be found and then increased
    by one hour.
    Conversion of ZT (including GMT) to LMT is the
    same as conversion in the opposite direction, except that the
    sign of difference of longitude is reversed. 
    
    
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