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Re: The Darn Old Cocked Hat - the sequel 1
From: Gary LaPook
Date: 2013 Mar 13, 00:06 -0700

No, it was my lack of higher math skills. I drew a lot of different shaped triangles and measured the distance from one vertex to the other LOP. My programing consisted of computing the two body fix coordinates and then using that as the AP and calculating the intercept to the third LOP. My measurements of the many triangles showed that the 2/3rds point was a pretty good approximation of the center of the triangle and it was something that I could program.

gl

--- On Tue, 3/12/13, Hanno Ix <hannoix@att.net> wrote:

From: Hanno Ix <hannoix@att.net>
Subject: [NavList] Re: The Darn Old Cocked Hat - the sequel 1
To: garylapook@pacbell.net
Date: Tuesday, March 12, 2013, 11:56 PM

Gary; that coincidence did not occur by accident - it was insight, right? h From: Gary LaPook <garylapook---net> To: hannoix---net Sent: Tuesday, March 12, 2013 9:43 PM Subject: [NavList] Re: The Darn Old Cocked Hat - the sequel 1 Interesting coincidence. Thirty years ago when I programed a calculator to do celestial nav in flight, I approximated the fix by moving 2/3rds (.66) the distance from one corner towards the third LOP, about the same point you chose. gl --- On Tue, 3/12/13, Hanno Ix <hannoix---net> wrote: From: Hanno Ix <hannoix---net> Subject: [NavList] Re: The Darn Old Cocked Hat - the sequel 1 To: garylapook---net Date: Tuesday, March 12, 2013, 1:14 PM "Sorry, I can speak correctly or understandably - not both" . Heisenberg. ________________________________________________________________________ John: This is a big peace of work that you sent, and I am seriously oblidged! In responding, let me pick just a couple of issues. To get started, please answer the 2 questions I posed re: CelNav cruise on the US carrier "Barak Obama" in San Diego waters, will you? Next, please read the attached part 2 of my memo "The Darn Old..." I hope it will show my goals of these 2 memos. Further, more questions that might be helpful to clear up things: You are trying to find a zero, say a zero of a standard parable, and will use Newton's iteration method, well, just because ... My questions are: * Will it always converge, if it does, to the same point no matter your personal approximate choice at the start? * Does the distribution of the step errors close to the zero depend on this choice of yours? * Are we in a comparable situation when using St. Hilaire? * What is the difference to using an algebraic solution that does not start with a guess?? * What is the difference to ignoring the LOPs and their error distributions and using only the corner points?. Would you please consider them? As you can see, I seem to be missing something in your argument. Best Regards, John h ___________________________________________________________________________________ PS: 1. http://fer3.com/arc/imgx/f1-Cocked-Hat-V2.pdf; is not available on the navlist. 2. I cannot locate any paper by Goudsmith or even their titles. Attached File: 122810.celnav error part2.pdf (no preview available) : http://fer3.com/arc/m2.aspx?i=122810 : http://fer3.com/arc/m2.aspx?i=122825
: http://fer3.com/arc/m2.aspx?i=122827

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