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Using Chebyshev polynomial interpolation to improve the computational efficiency of gravity models near an irregularly-shaped asteroid
Hu, Shou-Cun1,2; Ji, Jiang-Hui1
2017-12-01
Source PublicationRESEARCH IN ASTRONOMY AND ASTROPHYSICS
ISSN1674-4527
Volume17Issue:12Pages:12
Corresponding AuthorJi, Jiang-Hui(jijh@pmo.ac.cn)
AbstractIn asteroid rendezvous missions, the dynamical environment near an asteroid's surface should be made clear prior to launch of the mission. However, most asteroids have irregular shapes, which lower the efficiency of calculating their gravitational field by adopting the traditional polyhedral method. In this work, we propose a method to partition the space near an asteroid adaptively along three spherical coordinates and use Chebyshev polynomial interpolation to represent the gravitational acceleration in each cell. Moreover, we compare four different interpolation schemes to obtain the best precision with identical initial parameters. An error-adaptive octree division is combined to improve the interpolation precision near the surface. As an example, we take the typical irregularly-shaped near-Earth asteroid 4179 Toutatis to demonstrate the advantage of this method; as a result, we show that the efficiency can be increased by hundreds to thousands of times with our method. Our results indicate that this method can be applicable to other irregularly-shaped asteroids and can greatly improve the evaluation efficiency.
Keywordminor planets, asteroids: individual (4179 Toutatis) methods: numerical Chebyshev polynomials
DOI10.1088/1674-4527/17/12/120
WOS KeywordHARMONIC EXPANSIONS ; 4179 TOUTATIS
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000419673300002
PublisherNATL ASTRONOMICAL OBSERVATORIES, CHIN ACAD SCIENCES
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/22185
Collection中国科学院紫金山天文台
Corresponding AuthorJi, Jiang-Hui
Affiliation1.Chinese Acad Sci, Purple Mt Observ, CAS Key Lab Planetary Sci, Nanjing 210008, Jiangsu, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Hu, Shou-Cun,Ji, Jiang-Hui. Using Chebyshev polynomial interpolation to improve the computational efficiency of gravity models near an irregularly-shaped asteroid[J]. RESEARCH IN ASTRONOMY AND ASTROPHYSICS,2017,17(12):12.
APA Hu, Shou-Cun,&Ji, Jiang-Hui.(2017).Using Chebyshev polynomial interpolation to improve the computational efficiency of gravity models near an irregularly-shaped asteroid.RESEARCH IN ASTRONOMY AND ASTROPHYSICS,17(12),12.
MLA Hu, Shou-Cun,et al."Using Chebyshev polynomial interpolation to improve the computational efficiency of gravity models near an irregularly-shaped asteroid".RESEARCH IN ASTRONOMY AND ASTROPHYSICS 17.12(2017):12.
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