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在球谐函数变换基础上,利用新极下轨道的特殊性,在新坐标下引入Clenshaw求和计算轨道扰动引力。从理论上对比分析了传统方法、球谐函数变换方法和改进方法的计算速度和存储模型需要的物理空间。模拟试验分别采用3种方法计算了一段轨道的扰动引力,试验结果表明,改进的球谐函数变换方法比传统球谐函数变换方法计算速度可提高100倍,数据存储量仅占传统方法的3%。
Based on the spherical harmonic transform, taking advantage of the particularity of the orbit under the new pole, the Clenshaw summation is introduced to calculate the orbital disturbing gravity under the new coordinates. The computational speed of traditional method, spherical harmonic transform method and improved method and the physical space required for storage model are comparatively analyzed theoretically. Three kinds of methods were used to calculate the perturbed gravitational force of a section of track respectively. The experimental results show that the improved spherical harmonic transformation method can increase the computational speed by 100 times and the data storage capacity only accounts for 3% of the traditional method. .