Abstract
GPS is a satellite-based navigation system that is able to determine the exact position of objects on the Earth, sky, or space. By increasing the velocity of a moving object, the accuracy of positioning decreases; meanwhile, the calculation of the exact position in the movement by high velocities like airplane movement or very high velocities like satellite movement is so important. In this paper, seven methods for solving navigation equations in very high velocities using least squares method and its combination with the variance estimation methods for weighting observations based on their qualities are studied. Simulations on different data with different velocities from 100 m/s to 7000 m/s show that proposed method can improve the accuracy of positioning more than 50%.
Highlights
Global positioning system (GPS) does the positioning with the help of a group of satellites that each travels in its orbit around the Earth [1]
A GPS receiver by receiving these signals from at least four satellites organizes the navigation equations and by solving them shows the position of the user [1,2,3,4]
At present the only way of positioning a kinematic receiver in real time with high accuracy is by differential mode that is a relative positioning of two receivers [5, 6]
Summary
Global positioning system (GPS) does the positioning with the help of a group of satellites that each travels in its orbit around the Earth [1]. A GPS receiver by receiving these signals from at least four satellites organizes the navigation equations and by solving them shows the position of the user [1,2,3,4]. In some other research efforts too, it has been tried to combine GPS with other navigation systems to attain a higher accuracy [11,12,13] None of these methods are suitable for positioning at velocities of up to 7,000 m/s. Suitable weighting GPS data takes place based on qualities of observations In such a way, we could decrease the effect of noisy data, while using whole data in positioning.
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