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    Re: Hav-Doniol checker
    From: Hanno Ix
    Date: 2015 Jun 18, 12:33 -0700
    Andres,

    you are absolutely correct about the limitations of the azimuth diagram,
    and I struggled with it. Also the choice of t vs LHA caused me some headache.

    I though of adding a legend that explains how to expand the ranges but
    I could not find the proper wording hoping the user knows that anyway
    by mental analysis or observation as you mentioned.

    Legends are, as you know, frequently included in maps and a common
    way to communicate to the navigator.


    H

    On Thu, Jun 18, 2015 at 12:21 PM, Andrés Ruiz <NoReply_AndresRuiz@navlist.net> wrote:
    With this fantastic longhand SR method there are to approaches for Hc and Zn:
    1. by computation
    2. by Hanno's azimuth diagram
    The computation formulas are fine for all the cases: Hanno's for Hc, and Bergman's for Zn

    I prefer a mixed method for SR:
    • Hc by Hannos's haversine formula,
    • and Zn by Hanno's Zn(dec, t, Hc) diagram
    As I said, first works fine for all cases, but the diagram has its limitations. Why?, because is based on the sin t * cos dec = sin Z * cos Hc equation.Z calculated in such a way is cuadrantal; 0 <= Z <= 90º, is E/W as the meridian angle is. The other limitation is that 0 <= LHA <= 360º or -180º <= t <= 180º and the diagram has values for t between 0 and 90º.
    Of course if you take the approximate Z of the body while is observed the undetermination is solved.

    Give me a little time to finish my tutorial and analysis test, and I will send to NavList the results, with my proposal.

    best regards.

    --
    Andrés Ruiz
    Navigational Algorithms
    http://sites.google.com/site/navigationalalgorithms/


       
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