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    Re: Lyons methods for clearing lunar distance
    From: Ducruy Jacques
    Date: 2013 Jun 2, 03:43 -0700


    Hello Frank,

    Thank you very much for your explanations.

    My sources are :

    - NA 1767, with tables for refraction and formula for parallax ;

    - "Tables requisite" of Maskelyne (1781) for "classic" method (I suppose Table XIII = table XXXV of Norie) ;

    - "A set of linear tables" of Norie 1815.

    In fact, I have found another version in the Book of Ducom in France (same principle).

    I believe to have find the principle of classic method ... this morning :

    Corner formula
    corr = dA * cos S = dA * ((sin A - sin A' cos D)/(Cos A' sin D)

    or {dA * (sin A/Cos A' Sin D)) - (dA (Sin A' Cos D)/(Cos A' Sin D))

    and the second term is also : dA tg A' Cotg D

    with dA difference between true and apparent altitude and S the "corner angle".

    I agree with you : the methods of Lyons, Witchell and Mendoza are similar.

    I think the advantage of "linear tables" is an economy of time, perhaps with a light loss of accuracy.

    Best Regards


    Jacques


    NB : Mendoza had proposed another method "rigourous", with is a simplificaton of Krafft method.

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