On Friday, November 19, 2021 at 4:32:40 PM UTC-4, Hul Tytus wrote:
> Anyone know the method for calculating a reciever's position from the time
> difference between three rf pulse transmiters of known positions? 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?
The only parameter you can determine without a highly directional antenna is the difference in arrival time which places the transmitter on a hyperbola with two receiving antennas at the foci. Add a third antenna and you get intersecting hyperbolæ which will resolve the transmitter's location to a point.
But you are asking to locate a receiver from the time difference of arrival of known transmitters. Same problem with the transmitters at the foci. I believe this is the basis of locating a commercial aircraft based on the TACAN signal.
The math is just algebra and trig, solving simultaneous hyperbolic equations. I think two baselines give you only two points as solutions and the remaining baseline resolves between those two.
--
Rick C.
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Reply by Jeff Liebermann●November 20, 20212021-11-20
On Fri, 19 Nov 2021 20:32:34 -0000 (UTC), 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? 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?
>
>Hul
On Fri, 19 Nov 2021 20:32:34 -0000 (UTC), 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? 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?
Anyone know the method for calculating a reciever's position from the time
difference between three rf pulse transmiters of known positions? 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?
Hul