| 一种适用于星载GPS自主定轨的地球引力近似计算改进方法 |
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| 引用本文： | 龚学文,王甫红.一种适用于星载GPS自主定轨的地球引力近似计算改进方法[J].武汉大学学报(信息科学版),2019,44(3):371-377. |
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| 作者姓名： | 龚学文 王甫红 |
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| 作者单位： | 1.武汉大学测绘学院, 湖北 武汉, 430079 |
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| 基金项目： | 国家自然科学基金41374035国家自然科学基金91638203 |
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| 摘 要： | 提出了一种适用于星载GPS自主定轨的改进的地球引力近似函数方法（improved gravity acceleration approximation function，IGAAF）。对IGAAF方法的性能进行评估，结果表明:IGAAF方法的计算耗时小于45×45阶球谐模型；拟合系数容量仅为200~320 kB；引力加速度的截断误差（3D RMS）处于1×102~1×103 nm/s2量级，小于每颗低轨卫星自主定轨所需的最优阶次球谐模型（GOCE:105×105，CHAMP:85×85，GRACE-A:65×65，ZY3/TerraSAR-X:55×55）；将IGAAF方法应用于星载GPS自主定轨试验，相比于球谐模型，不会降低自主定轨精度。IGAAF方法在保证定轨精度的同时兼顾计算效率与系数容量的平衡，在星载GPS自主定轨的工程化应用中具有较强的实用价值。
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| 关 键 词： | 自主定轨 IGAAF 定轨精度 计算效率 系数容量 |
| 收稿时间： | 2017-09-06 |
An Improved Approximate Calculation Method of Earth Gravity Suitable for Space-Borne GPS Real-Time Onboard Orbit Determination |
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| Institution: | 1.School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China2.Collaborative Innovation Center for Geospatial Technology, Wuhan 430079, China3.GFZ German Research Center for Geosciences, Potsdam 14478, Germany |
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| Abstract: | We present an improved gravity acceleration approximation function (IGAAF) suitable for space-borne GPS real-time onboard orbit determination. The test of analyzing IGAAF's performances demonstrates that IGAAF maintains the truncation error in the magnitude of 1×102-1×103 nm/s2 only with the computational burden less than a 45×45 spherical model and a 200-320 kB RAM requirement for fitting coefficients, and that its accuracy is slightly superior to the spherical models with optimal degree and order for autonomous orbit determination (105×105 model for GOCE, 85×85 for CHAMP, 65×65 for GRACE-A and 55×55 for ZY3 and TerraSAR-X). Compared to the spherical model, IGAAF does not decrease the orbit accuracies. The IGAAF method attains a good trade-off between computational efficiency and coefficient capacity without decreasing the orbit accuracy, so it is of strong engineering value for space-borne GPS autonomous orbit determination. |
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