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    "Algebraisation" of the All-Haversine SR?
    From: Tony Oz
    Date: 2018 Dec 25, 09:46 -0800

    Hello!

    I'm back to the "same-name vs contrary-name" topic for the All-Haversine SR.

    The ZD formula works well if Lat and Dec are entered as signed values according to the "N|E positive; S|W negative; ZD positive if shadow points North" rule.

    However the Azimuth formula requires to ignore the Lat sign and to follow the "same|contrary" rule when the PD (polar distance) is calculated.

    What if the PD definition would be amended as follows:

    the elevated Pole distance: ePD = (elevated Pole's latitude) - Dec

    For an observer in Southern Hemisphere this would mean: ePD = -90° - Dec which is always correct if Dec is signed. The same is true for the observer in Northen Hemisphere: ePD = 90° - Dec.

    I'm not sure if it does more harm than clarifies/unifies the calculation process...

    Please comment.

    Warm regards,

    Tony

    60°N 30°E

       
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