Abstract
A new method for positioning a signal receiver of the global navigation satellite system is proposed within the ray theory and under the assumption that the atmosphere is spherically stratified and the dependence of the speed of the radio signal sent by each navigation satellite on the distance from the center of the Earth is known. A new basic system of equations is presented. For the minimum number of four navigation satellites, it consists of eight equations in eight unknowns, four of which are accessory ray parameters. The correctness of the new basic system is proved, and an algorithm for its solution is described. The purpose of the new method is a significant improvement in the accuracy of the absolute positioning of the signal receiver of the global navigation satellite system through the proper account of irregularities of the ionosphere and troposphere.
Published Version
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