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# The GPS equations and the Problem of Apollonius

@article{Hoshen1996TheGE, title={The GPS equations and the Problem of Apollonius}, author={Joseph Hoshen}, journal={IEEE Transactions on Aerospace and Electronic Systems}, year={1996}, volume={32}, pages={1116-1124} }

- Published 1996 in IEEE Transactions on Aerospace and Electronic…

By relating the Global Positioning System (GPS) problem of location to the ancient Problem of Apollonius, this work presents a closed solution to the pseudorange positioning problem for two and three dimensions The positioning problem, given by a set of nonlinear equations, has been reduced to the solution of a quadratic equation. The resulting expressions yield either two or one physically meaningful solutions for both the two- and three-dimensional problems. Expressions for the boundary… CONTINUE READING

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