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    Re: Moving Navigator LAN: Culmination to Meridian Passage fully solved
    From: Michael Bradley
    Date: 2024 Jan 29, 15:20 -0800

    Thanks Bill

    I particularly appreciate your use of a binary search as a method to solve a calculation problem in spherical trigonometry.

    Look uptables and calculation by evaluating a 'sum of product' formula have been the default methods.  Searches have been disregarded, but then cheap micro computers have only been available since the late 70s...  However, the 'impossible to solve' combinations of angle(s) and side(s), arising from, say, Napiers rules can very often be economically solved by a binary search.

    Hangup 1 put to bed.

    Thanks to Doniol

    Another fixed feature has been the apparently compulsory 'sum of products' form of algebraic expression. We have Doniol to thank for his simple 'product of sums' formulae used as the basis of the Hav/Donio method. (Not forgetting the work of Greg and Hanno).

    Hang up 2 put to bed

    Thanks to Herman Dekker

         and a glass raised to his memory.

    Demon Haversine method algebraist for NavList. The third historical hangup had been the general refusal, as far as one can easily see, to use the all Haversine simplified methods demonstrated and written up early in the early 20th century.

    Hangup 3 put to bed.

    Thankyou all

    Michael Bradley

       
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