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    Re: Haversines with Logarithms
    From: David C
    Date: 2020 Oct 11, 20:41 -0700

    Frank wrote

    Further, there are quite a few NavList members who get a kick out, salivate over, even obsess over haversine calculations and haversine tables.

    I am not part of that haversine saivating group but It is a different matter with long by chron!

    Matthew's post gave a method for reducing a time sight without multiplication. Maybe I should  try his method. I  have nearly finished determining my position by two time sights, Martelli's tables  and a two point Sumner. Greg confused the situation by mentioning the Haversine Doniol method. That reminded me that I was part way through learning the Doniol-Rudzinski-Ix method. I had stopped work when I discovered  that a long multiplication of two numbers < 1 was required. I am sure that I can remember how to long multiply two numbers >1 but  will probably be confused if they are < 1.

    From the 1950s we have:

    Doniol haversine

    Sadler's modification of Ageton

    Doniol-Rudzinski-Ix

    and now Mattew.

    Are there any other "new" methods?  What would Lecky have thought?

       
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