| GPS卫星轨道数值积分与广播星历及IGS精密星历的比较 |
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| 引用本文： | 刘红新,程鹏飞,王解先,成英燕.GPS卫星轨道数值积分与广播星历及IGS精密星历的比较[J].测绘科学,2006,31(4):42-44. |
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| 作者姓名： | 刘红新 程鹏飞 王解先 成英燕 |
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| 作者单位： | 上海同济大学测量与国土信息工程系,上海,200092;中国测绘科学研究院,北京,100039;中国测绘科学研究院,北京,100039;上海同济大学测量与国土信息工程系,上海,200092 |
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| 基金项目： | 国家自然基金(40474005)项目，青岛市自然科学基金(04-2-JZ-101)联合资助 |
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| 摘 要： | 本文采用作者自编的SPPORB IT程序,对GPS卫星轨道的运动方程进行Adam s数值积分求解,同时利用广播星历计算卫星轨道坐标,然后将两者结果同IGS精密星历提供的卫星坐标进行比较,并探讨其轨道误差,计算结果显示广播星历与精密星历差值在2m左右,而数值积分与精密星历的差值在2 cm左右,进一步的分析表明前者误差较大是没有考虑卫星所受的太阳光压、日月引力等影响,而后者考虑了这些影响。鉴于IGS提供的是地固系坐标,而本文数值积分是在惯性系坐标系下进行的,因此本文还举例对惯性坐标系和地固系之间的坐标转换进行了描述。最后,通过实例说明SPPORB IT程序的稳定性以及Adam s数值积分方法的有效性。
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| 关 键 词： | Adams 数值积分 广播星历 轨道误差 惯性系 地固系 |
| 文章编号： | 1009-2307(2006)04-0042-03 |
| 修稿时间： | 2005年6月26日 |
Comparison of GPS satellite orbit numerical integration with broadcast ephemeris and IGS precise ephemeris |
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| LIU Hong-xin,CHENG Peng-fei,WANG Jie-xian,CHENG Ying-yan.Comparison of GPS satellite orbit numerical integration with broadcast ephemeris and IGS precise ephemeris[J].Science of Surveying and Mapping,2006,31(4):42-44. |
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| Authors: | LIU Hong-xin CHENG Peng-fei WANG Jie-xian CHENG Ying-yan |
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| Abstract: | The motion equation systems of GPS satellite orbits have been solved with the software SPPORBIT developed by the authors,which is based on Adams numerical integration method.The satellite orbits are also computed using broadcast ephemeris.Results are compared with IGS precise ephemeris and orbit errors are discussed respectively.The differences between broadcast and precise ephemeris,numerical integration and precise ephemeris are about 2 m and 2 cm respectively.Further analysis shows that the sun pressure and the gravitation of the sun and the moon have not been taken into account in the former,while these factors are considered in the latter.Due to the fact that IGS precise orbits are in Earth-fixed reference frame,the numerical integrations,however,are performed in Inertial reference frame,the transformation between two frames has been described with some examples.Practical results show the stability of software SPPORBIT and the validity of the Adams numerical integration. |
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| Keywords: | adams numerical integration broadcasting ephemeris orbit error inertial reference frame earth-fixed reference frame |
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