| 基于CHAMP卫星星历反演地球重力场的两种方法 |
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| 引用本文： | 鲁晓磊,邵成刚,王能超.基于CHAMP卫星星历反演地球重力场的两种方法[J].测绘科学,2005,30(5):22-25. |
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| 作者姓名： | 鲁晓磊 邵成刚 王能超 |
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| 作者单位： | 华中科技大学数学系;华中科技大学物理系,武汉,430074 |
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| 摘 要： | 根据模拟的CHAMP卫星星历,分别采用基于牛顿运动定律的数值微分法和基于能量守恒定律的能量守恒法建立观测方程,恢复出50阶次的重力位系数。同时,考虑到CHAMP卫星位置、速度和加速度存在的误差,分析了这两种方法对各项精度指标的敏感程度,并比较了这两种方法的优缺点。
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| 关 键 词： | CHAMP卫星 重力位系数 数值微分 能量守恒 |
| 文章编号： | 1009-2307(2005)05-0022-04 |
| 收稿时间： | 2004-09-13 |
| 修稿时间： | 2004年9月13日 |
Two methods for recovering gravitational potential from the ephemerides of CHAMP |
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| LU Xiao-lei,SHAO Cheng-gang,WANG Neng-chao.Two methods for recovering gravitational potential from the ephemerides of CHAMP[J].Science of Surveying and Mapping,2005,30(5):22-25. |
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| Authors: | LU Xiao-lei SHAO Cheng-gang WANG Neng-chao |
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| Abstract: | In this paper,observation equations are constructed according to the numerical differentiation based on Newton's law of motion and the energy conservation respectively.The gravitational potential coefficients are recovered until degree 50 based on simulated CHAMP ephemerides.The sensitivity to different precision are analyzed considering the errors in the satellite position,velocity and acceleration of CHAMP.The merits and disadvantages of these two methods are demonstrated. |
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| Keywords: | CHAMP gravitational potential coefficients numerical differentiation energy conservation |
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