Contribution of ionospheric irregularities to the error of dual-frequency GNSS positioning |
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| Authors: | B C Kim M V Tinin |
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| Institution: | (1) Pusan National University, 50 Cheonghak-ri, Samrangjin-eup, Miryang-city, Gyeoungnam, 627-706, Korea;(2) Irkutsk State University, 20 Gagarin Blvd, Irkutsk, 664003, Russia |
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| Abstract: | This paper investigates the third-order residual range error in the dual-frequency correction of ionospheric effects on satellite
navigation. We solve the two-point trajectory problem using the perturbation method to derive second-approximation formulas
for the phase path of the wave propagating through an inhomogeneous ionosphere. It is shown that these formulas are consistent
with the results derived from applying perturbation theory directly to the eikonal equation. The resulting expression for
the phase path is used in calculating the residual range error of dual-frequency global positioning system (GPS) observations,
in view of second- and third-order terms. The third-order correction includes not only the quadratic correction of the refractive
index but also the correction for ray bending in an inhomogeneous ionosphere. Our calculations took into consideration that
the ionosphere has regular large-scale irregularities, as well as smaller-scale random irregularities. Numerical examples
show that geomagnetic field effects, which constitute a second-order correction, typically exceed the effects of the quadratic
correction and the regular ionospheric inhomogeneity. The contribution from random irregularities can compare with or exceed
that made by the second-order correction. Therefore, random ionospheric irregularities can make a significant (sometimes dominant)
contribution to the residual range error. |
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| Keywords: | Global positioning system (GPS) Second- and third-order ionospheric errors Random ionospheric irregularities Navigation |
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