Fast Computing the Spherical Harmonic Perturbation on Sattellites and the Recurrence Relations of the Coefficients of the Earth’s Gravity

LIN Qin chang; LIN Yuan

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Fast Computing the Spherical Harmonic Perturbation on Sattellites and the Recurrence Relations of the Coefficients of the Earth’s Gravity

更新时间：2026-05-27

- Fast Computing the Spherical Harmonic Perturbation on Sattellites and the Recurrence Relations of the Coefficients of the Earth’s Gravity
- Vol. 17, Issue 2, Pages: 6-10(2000)
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- Online First：06 July 2000，
  
  Published：2000
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林钦畅, 林原. 快速计算卫星球谐摄动和地球引力系数递推关系[J]. 广东工业大学学报, 2000, 17(2): 6-10.

LIN Qin chang, LIN Yuan. Fast Computing the Spherical Harmonic Perturbation on Sattellites and the Recurrence Relations of the Coefficients of the Earth’s Gravity[J]. 2000, 17(2): 6-10.
林钦畅, 林原. 快速计算卫星球谐摄动和地球引力系数递推关系[J]. 广东工业大学学报, 2000, 17(2): 6-10. DOI：

LIN Qin chang, LIN Yuan. Fast Computing the Spherical Harmonic Perturbation on Sattellites and the Recurrence Relations of the Coefficients of the Earth’s Gravity[J]. 2000, 17(2): 6-10. DOI：

摘要

给出快速计算卫星球谐摄动和地球引力系数递推关系式的一个新方法 .这个方法计算速度比Cunningham及其它已有的方法快

而且甚至地球球谐阶、次扩展到 10 0× 10 0或更多时也不会出现溢出 .本法满足了SLR(卫星激光测距 )、GPS(全球定位系统 )及LLR(月球激光测距 )等高精度的应用 .把本法投入使用时

地球引力系数必须进行转换 .本文也给出了地球引力系数递推关系式 .本法已编成程序并投入实际应用 .对所有摄动计算

数值积分 144 0步用 486 / 6 6微机仅需 10s

用 5 86微机运算速度更快

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references

冯初刚,谭德同,朱元兰,张忠平. 对ETALON卫星的精密定轨研究[J]. 测绘学报. 1997(02)

林钦畅,黄天衣. 机器推导人卫田谐摄动[J]. 天文学报. 1979(02)

林钦畅. 用计算机推导太阳对月球的摄动函数[J]. 中国科学院上海天文台年刊. 1979(00)

刘林编著.人造地球卫星轨道力学[M]. 高等教育出版社, 1992

Lin Qinchang. Fast computation of the spherical harmonic perturbation on an artificial satellite[J], 1997

Leland E. Cunningham. On the computation of the spherical harmonic terms needed during the numerical integration of the orbital motion of an artificial satellite[J], 1970

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