【摘要】 针对精度分析对高阶引力场及其计算效率的需求，推导了以球谐函数级数表示的超高阶引力场模型，并以2 159阶位系数计算结果为标准，深入研究了引力异常值随高度、截断阶数的变化关系。此后，基于全球引力异常分布研究，创新建立了引力异常随高度变化的3σ概率模型，并对比分析了不同引力异常模型对导航精度的影响。仿真结果表明，针对一条有80 000余个数据点的轨迹，与传统定值引力异常模型相比，提出的引力异常模型精度分析结果提升50%以上；与实时解算真实引力异常相比，计算耗时由10 h级缩减至10 s级，效率提升3 000多倍，大幅提升了方案设计阶段导航精度分析的准确性及效率。更多还原

【Abstract】 Precision analysis has very high demand for high order gravitational field and its calculation efficiency. An ultra-high-order gravitational field model is developed based on the spherical harmonic function series. Then, using the results of proposed model truncated to 2 159-degree as the standard, the variation relationship of gravity anomaly values with height and truncation order are studied in depth. Further, based on the research results of the global gravity anomaly distribution, the innovative 3σ probability model for the gravity anomaly varying with height is established. Simulation results show that for a trajectory with 80 000 data points, the results of the accuracy analysis increased by more than 50% compared with the traditional method. In addition, compared with by solving the gravity anomaly in real time, the calculation is reduced from 10 hours to less than 10 seconds, efficiency increased by more than 3 000 times which significantly improves the efficiency of the navigation accuracy analysis.更多还原