| 倾角函数及其导数的定积分计算方法 |
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| 引用本文： | 吴连大,汪宏波.倾角函数及其导数的定积分计算方法[J].天文学报,2012,53(1):51-61. |
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| 作者姓名： | 吴连大 汪宏波 |
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| 作者单位： | 1. 中国科学院紫金山天文台 南京210008;中国科学院空间目标与碎片观测重点实验室 南京210008
2. 中国科学院紫金山天文台 南京210008 |
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| 摘 要： | 给出了一种倾角函数及其导数的定积分计算方法,表达式十分简单,其计算精度:倾角函数可达10-15,导数可达10-13,可与Gooding方法相媲美.该方法的稳定性和适用倾角范围均较好,可供倾角函数的最高阶数Lmax≤50时使用.
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| 关 键 词： | 天体力学 方法 数值 |
A Definite Integration Method of Calculating Inclination Function and its Derivative |
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| WU Lian-da
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WANG Hong-bo.A Definite Integration Method of Calculating Inclination Function and its Derivative[J].Acta Astronomica Sinica,2012,53(1):51-61. |
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| Authors: | WU Lian-da WANG Hong-bo |
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| Institution: | 1,2) (l Purple Mountain Observatory,Chinese Academy of Sciences,Nanjing 210008) (2 Key Laboratory of Space Object and Debris Observation,Chinese Academy of Sciences, Nanjing 210008) |
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| Abstract: | The paper gives a definite integration method of calculating inclination function and its derivative.The expression is simple,but its accuracy is very well.It is about 10-15 and 10-13 for inclination function and its derivative,respectively.This level is comparable to the accuracy of Gooding’s method.Through a lot of numerical simulations,it is proved that the method has good stability and wide-scope application of inclination.It takes very little time to calculate low-order function（less than 50）,so the method can be directly used in calculating terrestrial and sun-moon gravitational perturbation. |
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| Keywords: | celestial mechanics methods numerical |
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