Application of a new semi-analytical method to periodic motion due to the J22 tesseral harmonic
Application of a new semi-analytical method to periodic motion due to the J22 tesseral harmonic
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DOI：
10.1088/1674-4527/15/6/012
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发表时间：
2015-06
影响因子：
1.8
通讯作者：
Shoucun Hu;J. Ji;Yuhui Zhao
中科院分区：
文献类型：
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作者：
Shoucun Hu;J. Ji;Yuhui Zhao
我们重新审视构建包含 J22 曲面谐波的一阶周期解的问题，并开发一种新的半解析解，该解可适用于 [0,1) 中的任何轨道偏心率。在我们的工作中，解以有限紧凑形式表示，该形式由几个具有受[0,π]限制的不同积分区间的定积分组成，其中不再涉及传统的汉森系数。并进行了数值实验并与传统的级数展开法进行了比较，结果表明所推导的解能够处理高偏心轨道。因此，所给出的解决方案可以为分析J22谐波引起的摄动特性提供一种新技术。
We revisit the issue of constructing the first-order periodic solution that incorporates the J22 tesseral harmonic and developing a new semi-analytical solution that may apply to any orbital eccentricity in [0,1). In our work, the solution is expressed in a finite compact form composed of several definite integrals with varying integration intervals constrained in [0,π], in which the traditional Hansen coefficients are no longer involved. Numerical experiments are also given and compared with the traditional series expansion method, and the results show that the derived solution is capable of dealing with highly eccentric orbits. Therefore, the solution given can provide a new technique to analyze the perturbation characteristics arising from the J22 harmonic.