A New Approach to Geometry of Range Difference Location

@article{Schmidt1972ANA,
  title={A New Approach to Geometry of Range Difference Location},
  author={R. Schmidt},
  journal={IEEE Transactions on Aerospace and Electronic Systems},
  year={1972},
  volume={AES-8},
  pages={821-835}
}
  • R. Schmidt
  • Published 1972
  • Mathematics
  • IEEE Transactions on Aerospace and Electronic Systems
Loran, as an example of a "hyperbolic" range difference location system, provides hyperbolic lines of position on which the target must lie. It is shown in this paper that lines of position need not be hyperbolic, i.e., an exact straight line of position on the plane or the surface of a sphere (where the solution is a great circle) is derived and computer-generated error maps are given. 
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Low-frequency and very-low-frequency hyperbolic navigation systems are becoming of increasing importance in the world community. The three most widely used of this category of systems are Decca,Expand
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This paper presents a derivation and discussion of an explicit, noniterative, LORAN mechanization of very high accuracy (approximately one second of arc) and the advantages of this explicit solution are as follows. Expand