A relative positioning spline representation model based on multi-frequency global navigation satellite system (GNSS) is proposed to meet the demand of precise inter-satellite relative positioning for formation flying satellites and the employment of multi-frequency signal measurement scheme of future GNSS. This model is based on the function approximation and parameter-saving modeling theory. The geometric relationship between the observation data and the estimated parameters is utilized and combined with the constraints of the continuous variation of the estimated parameters with epochs. The theoretical basis and simulation results of the relative positioning precision improvement are presented. The advantages of multi-frequency data over dual-frequency data and those of the spline representation model over the traditional point-wise model are shown. Under the condition of complex error simulation, the relative position of the inter-satellite estimates reaches the accuracy of millimeter level by applying the triple-frequency observation data and the spline representation model. Once the ambiguity resolutions are fixed to the correct value, using triple-frequency data can improve the accuracy up to 10% higher than the dual-frequency data, and using the spline representation model can improve the accuracy up to 80% higher than the point-wise model.
YAO Jing, NIE Pengcheng, YI Dongyun
. Formation Inter-satellite Relative Positioning Spline Representation Model Based on Multi-frequency GNSS Observation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011
, 32(4)
: 685
-692
.
DOI: CNKI:11-1929/V.20101111.0909.000
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