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非球形引力位中J_3项对轨道的影响及应用
引用本文:田家磊,赵东明,张中凯,等.非球形引力位中J_3项对轨道的影响及应用[J].测绘工程,2014(1):50-52,56.
作者姓名:田家磊  赵东明  张中凯  
作者单位:[1]信息工程大学地理空间信息学院,河南郑州450052 [2]信息工程大学导航与空天目标工程学院,河南郑州450001
基金项目:国家自然科学基金资助项目(41174026;41104047)
摘    要:地球的非球形引力摄动是人造卫星环绕地球飞行过程中所受到的摄动中较重要的一项。在人造卫星的精密定轨和卫星位置的预报中,人们往往对J2项比较重视,但是对于J3项的研究比较少。为了解J3项的性质,文中分析了非球形引力位中J3项对于卫星轨道的影响,通过严格的公式推导,得到J3项对轨道偏心率以及轨道倾角的影响,详细地介绍利用它形成冻结轨道的基本原理。通过数值实验对得到的基本理论以及应用进行验证。结果表明J3项是冻结轨道形成的重要因素。

关 键 词:J项  冻结轨道  非球形引力摄动  轨道力学

The influence and application of term J3 in non-spherical gravitational potential to the obit
TIAN Jia-lei,ZHAO Dong-ming,ZHANG Zhong-kai,FAN Hao-peng.The influence and application of term J3 in non-spherical gravitational potential to the obit[J].Engineering of Surveying and Mapping,2014(1):50-52,56.
Authors:TIAN Jia-lei  ZHAO Dong-ming  ZHANG Zhong-kai  FAN Hao-peng
Institution:1.School of Geospatial Information, Information Engineering University, Zhengzhou 450052, China; 2.School of Navigation and Aerospace Engineering, Information Engineering University, Zhengzhou 450001 ,China;)
Abstract:The non-spherical gravitational perturbation of the earth plays an important role in the movement of satellites' circling around the earth.In the research of satellite precision orbit determination and satellite position forecast,J2 has been highlighted a lot,yet the term J3 has been neglected.In order to know about the characters of J3,its influence on the orbit in non-spherical gravitational potential is analyzed.And the effect on orbital eccentricity and inclination are obtained through rigorous formula derivation.The basic principle of frozen orbit formation is introduced in details as well,as the application verified by numerical experiment.The final results indicate that J3 is one of the important elements of frozen orbit formation indeed.
Keywords:term J3  frozen orbit  non-spherical gravitational perturbation  orbit dynamics
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