相對論效應對GPS單點定位精度的影響
RELATIVISTIC EFFECTS ON POINT-POSITIONING PRECISION IN THE GPS
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摘要: 本文研究地球慣性系中相對論效應對GPS單點定位精度的影響。首先從太陽的各向同性Schwarzschild度規(guī)出發(fā),計入地球和月球的引力場的貢獻,求得地球慣性系中的度規(guī)系數goo。然后估算廣義和狹義相對論效應對GPS的原子鐘頻率、GPS衛(wèi)星的運行軌道以及GPS導航信號傳播的影響。在此基礎上計算地球、月球和太陽引力場引起的單點定位誤差,并分析誤差各部分的來源和重要程度。Abstract: The relativistic effects on point-positioning precision in the GPS are studied with reference to an earth centered inertial coordinate system. First, the metric coefficient 900 in the earth centered inertial system is obtained from the sun s Schwarzschild isotropic metric, with the gravitation of the earth and the moon taken into account. Then the general and special relativistic effects on the GPS atomic frequency standards, the GPS satellites orbits and the propagation of the GPS navigation signals are estimated, based on which the point-positioning errors caused by the gravitation of the earth, the moon and the sun are evaluated, and the sources and importance of each components of the errors are analysed.
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