| 引用本文: | 李晓明.经典 f 、g 级数的修正法.[J].国防科技大学学报,1991,13(2):59-67.[点击复制] |
| Li Xiaoming.A Correcting Method for Classical f and g Series[J].Journal of National University of Defense Technology,1991,13(2):59-67[点击复制] |
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| 经典 f 、g 级数的修正法 |
| 李晓明 |
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(自动控制系)
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| 摘要: |
| 文中对开普勒轨道方程中的经典 f、g 级数进行修正，使其适用于考虑主要带谐项的摄动情形，克服了 f、g 级数仅用于开普勒轨道短弧段的限制。公式的推导借助计算机完成。使用此方法所得结果与使用数值积分方法所得结果比较：该方法速度快、精度高、可直接得到连续的状态。该方法简洁有效，在航天导航和制导领域具有很大实用价值。 |
| 关键词: 航天动力学，轨道，摄动，轨道预报，CA |
| DOI： |
| 投稿日期：1990-08-25 |
| 基金项目:硕士生论文 |
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| A Correcting Method for Classical f and g Series |
| Li Xiaoming |
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(Department of Automatic Control)
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| Abstract: |
| This paper presents a correcting method for classical f and g series which is to be used in cases considering the primary perturbations of the zonal harmonics. It overcomes the limitation of f and g series only suitable to short arc. The results derived with CA system REDUCE are also given. Comparing the results using this corrected f and g series with those from direct numerical integration method，we can see that the former is faster and with the same accuracy. Besides，it can provide continuous states instead of discrete ones. Its clarity and effectiveness make it very useful in space engineering. |
| Keywords: astrodynamics,orbit,perturbation,orbit prediction,CA |
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