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Application of a new semi-analytical method to periodic motion due to the J(22) tesseral harmonic
Hu, Shou-Cun; Ji, Jiang-Hui; Zhao, Yu-Hui
2015-06-01
Source PublicationRESEARCH IN ASTRONOMY AND ASTROPHYSICS
Volume15Issue:6Pages:896-908
AbstractWe revisit the issue of constructing the first-order periodic solution that incorporates the J(22) 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, pi], 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 J(22) harmonic.
KeywordCelestial Mechanics
Subject Area天文和天体物理
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1088/1674-4527/15/6/012
WOS KeywordARTIFICIAL SATELLITE THEORY ; HANSEN COEFFICIENTS ; PERTURBATIONS ; DYNAMICS ; ORBITS ; PLANET ; ORDER
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000355138900012
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Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/14910
Collection行星科学与深空探测实验室
太阳活动的多波段观测研究团组
AffiliationChinese Acad Sci, Purple Mt Observ, Key Lab Planetary Sci, Nanjing 210008, Peoples R China
Recommended Citation
GB/T 7714
Hu, Shou-Cun,Ji, Jiang-Hui,Zhao, Yu-Hui. Application of a new semi-analytical method to periodic motion due to the J(22) tesseral harmonic[J]. RESEARCH IN ASTRONOMY AND ASTROPHYSICS,2015,15(6):896-908.
APA Hu, Shou-Cun,Ji, Jiang-Hui,&Zhao, Yu-Hui.(2015).Application of a new semi-analytical method to periodic motion due to the J(22) tesseral harmonic.RESEARCH IN ASTRONOMY AND ASTROPHYSICS,15(6),896-908.
MLA Hu, Shou-Cun,et al."Application of a new semi-analytical method to periodic motion due to the J(22) tesseral harmonic".RESEARCH IN ASTRONOMY AND ASTROPHYSICS 15.6(2015):896-908.
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