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Re: navigation math

Path csiph.com!weretis.net!feeder6.news.weretis.net!panix!.POSTED.::1!not-for-mail
From Grant Edwards <invalid@invalid.invalid>
Newsgroups comp.arch.embedded
Subject Re: navigation math
Date Fri, 19 Nov 2021 22:54:25 -0000 (UTC)
Organization PANIX Public Access Internet and UNIX, NYC
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On 2021-11-19, Hul Tytus <ht@panix.com> wrote:

> Anyone know the method for calculating a reciever's position from the time 
> difference between three rf pulse transmiters of known positions?

Yes. If you know the delta between the distances to two known
locations, that places you on a hyperbola whose focii are those two
known points. Plot the hyperbola on your map.

Repat for the other two pairs of points. Hopefully there's one point where all three
intersect.


> This has apparantly been in use since the second world war but a
> description of the mathematics involved is hiding. Maybe a text on
> navagation methods?

https://www.sparknotes.com/math/precalc/conicsections/section4/

You can do it analytically instead of graphically if you want:

https://www.analyzemath.com/HyperbolaProblems/hyperbola_intersection.html
https://math.stackexchange.com/questions/1920147/intersection-of-two-hyperbolas

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navigation math Hul Tytus <ht@panix.com> - 2021-11-19 20:28 +0000
  Re: navigation math Dennis <dennis@none.none> - 2021-11-19 16:12 -0600
    Re: navigation math Hul Tytus <ht@panix.com> - 2021-11-20 20:45 +0000
  Re: navigation math Grant Edwards <invalid@invalid.invalid> - 2021-11-19 22:54 +0000
    Re: navigation math Grant Edwards <invalid@invalid.invalid> - 2021-11-19 23:03 +0000
    Re: navigation math Don Y <blockedofcourse@foo.invalid> - 2021-11-19 16:28 -0700
    Re: navigation math Hul Tytus <ht@panix.com> - 2021-11-20 20:50 +0000
  Re: navigation math Don Y <blockedofcourse@foo.invalid> - 2021-11-19 16:19 -0700
    Re: navigation math Hul Tytus <ht@panix.com> - 2021-11-20 20:55 +0000
      Re: navigation math Don Y <blockedofcourse@foo.invalid> - 2021-11-20 15:38 -0700
  Re: navigation math Paul Rubin <no.email@nospam.invalid> - 2021-11-19 18:17 -0800
    Re: navigation math Hul Tytus <ht@panix.com> - 2021-11-20 20:59 +0000
  Re: navigation math Robert Roland <fake@ddress.no> - 2021-11-20 14:27 +0100

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