3 point navigation

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

Reply to
Hul Tytus
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Hyperbolic navigation.

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Joe Gwinn

Reply to
Joe Gwinn

The old terms and tech (i.e. LORAN) have changed since WWII. Hyperbolic navigation is still with us, but with the advent of cellular and ADS-B, it's now called MLAT (multilateration), TOA, TDOA (time difference of arrival), or a multitude of other term. Note that the GPS system uses the flight time between the GPS receiver and the known positions of at least 3 GPS satellites.

These should supply a list of buzzwords to research:

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Reply to
Jeff Liebermann

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.

Reply to
Rick C

Thanks Joe, I'll take a look.

Hul

Joe Gw> > > Anyone know the method for calculating a reciever's position from the time

Reply to
Hul Tytus

Thanks Jeff. A collection of the pertinent buzz words can be handy for searching through records.

Hul

Jeff Liebermann snipped-for-privacy@cruzio.com wrote:

Reply to
Hul Tytus

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