非心摄动引力的快速计算方法研究

基金项目: 国家自然科学基金资助项目(40234039)

详细信息

Fast Computation Method of Non-central Perturbation Force

Institute of Surveying and Mapping, Information Engineering University, 66 Longhai Road, Zhengzhou, China, 450052

摘要: 给出了球谐函数不含阶次(n,m)调制的递推公式,推导出非心引力矢量、引力张量的快速计算格式,给出了相应的算法。该算法优于传统正常化递推求和算法,减少了运算次数,使计算速度提高了5倍。对低轨卫星预报、卫星重力测量反演、动力法定轨等的响应时间都具有重要贡献。
- 引力矢量 /
- 引力张量 /
- 摄动力 /
- 球谐函数 /
- 右函数
Abstract: Recursive formulae without degree and order(n,m) are presented.Fast computation formulae of the non-central gravitational vector and gravity tensor are deduced and respective algorithms are proposed.The algorithms can fasten the computation time five times,compared to the conventional methods.
- gravitational vector /
- gravity tensor /
- perturbing forces /
- spherical harmonics /
- right function