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Why don't GPS navcomms fall back on VORs?

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Canuck

David Megginson
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If my GTN loses GPS integrity, it will fall back to a loose kind of dead-reckoning and project my last track forward.

I'm curious about why modern GPS comms don't fall back on VOR for enroute position? They know where they lost signal, and could try to triangulate from navaids in range to fix your position within at least a mile or so. The algorithm would be orders of magnitude simpler than the one required for acquiring and triangulating GPS satellites.
 

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