Numerical model of Phobos’ motion incorporating the effects of free rotation

doi:10.1051/0004-6361/202039412

	Numerical model of Phobos’ motion incorporating the effects of free rotation
	Yang YZ(杨永章)1,6,7; Yan, Jianguo 6; Jian, Nianchuan 5; Matsumoto, Koji 2,4; Barriot, Jean-Pierre 3,6
刊名	Astronomy and Astrophysics
	2024-05-01
卷号	685
关键词	methods: numerical astrometry celestial mechanics ephemerides minor planets, asteroids: individual: Phobos planets and satellites: physical evolution
ISSN号	0004-6361
DOI	10.1051/0004-6361/202039412
产权排序	第1完成单位
文献子类	Journal article (JA)
英文摘要	Context. High-precision ephemerides are not only useful in supporting space missions, but also in investigating the physical nature of celestial bodies. This paper reports an update to the orbit and rotation model of the Martian moon Phobos. In contrast to earlier numerical models, this paper details a dynamical model that fully considers the rotation of Phobos. Here, Phobos’ rotation is first described by Euler’s rotational equations and integrated simultaneously with the orbital motion equations. We discuss this dynamical model, along with the differences with respect to the model now in use. Aims. This work is aimed at updating the physical model embedded in the ephemerides of Martian moons, considering improvements offered by exploiting high-precision observations expected from future missions (e.g., Japanese Martian Moons eXploration, MMX), which fully supports future studies of the Martian moons. Methods. The rotational motion of Phobos can be expressed by Euler’s rotational equations and integrated in parallel with the equations of the orbital motion of Phobos around Mars. In order to investigate the differences between the two models, we first reproduced and simulated the dynamical model that is now used in the ephemerides, but based on our own parameters. We then fit the model to the newest Phobos ephemeris published by Institut de Mécanique Céleste et de Calcul des Éphémérides (IMCCE). Based on our derived variational equations, the influence of the gravity field, the Love number, k2, and the rotation behavior were studied by fitting the full model to the simulated simple model. Our revised dynamic model for Phobos was constructed as a general method that can be extended with appropriate corrections (mainly rotation) to systems other than Phobos, such as the Saturn and Jupiter systems. Results. We present the variational equation for Phobos’ rotation employing the symbolic Maple computation software. The adjustment test simulations confirm the latitude libration of Phobos, suggesting gravity field coefficients obtained using a shape model and homogeneous density hypothesis should be re-examined in the future in the context of dynamics. Furthermore, the simulations with different k2 values indicate that it is difficult to determine k2 efficiently using the current data. © The Authors 2024.
学科主题	天文学 ; 天体测量学
URL标识	查看原文
资助项目	Chinese Academy of Sciences[020GJHZ2022034FN];National Natural Science Foundation of China[12033009];National Natural Science Foundation of China[12103087];National Natural Science Foundation of China[42241116];National Key Research and Development Program of China[2022YFF0503202];National Key Research and Development Program of China[2021YFA0715101]
语种	英语
资助机构	Chinese Academy of Sciences[020GJHZ2022034FN] ; National Natural Science Foundation of China[12033009, 12103087, 42241116] ; National Key Research and Development Program of China[2022YFF0503202, 2021YFA0715101]
内容类型	期刊论文
源URL	[http://ir.ynao.ac.cn/handle/114a53/27204]
专题	云南天文台_应用天文研究组
作者单位	1.Key Laboratory of Lunar and Deep Space Exploration, Chinese Academy of Sciences, Beijing, 100012, China 2.The Graduate University for Advanced Studies, SOKENDAI, Shonan Village, Kanagawa, Hayama, 240-0193, Japan; 3.Observatoire géodésique de Tahiti, BP 6570, Faa’a, French Polynesia, Tahiti, 98702, France; 4.National Astronomical Observatory of Japan, 2-12 Hoshigaoka, Mizusawa, Iwate, Oshu, 023-0861, Japan; 5.Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, 200030, China; 6.State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan, 430070, China; 7.Yunnan Observatories, Chinese Academy of Sciences, Kunming, 650216, China;
推荐引用方式 GB/T 7714	Yang YZ,Yan, Jianguo,Jian, Nianchuan,et al. Numerical model of Phobos’ motion incorporating the effects of free rotation[J]. Astronomy and Astrophysics,2024,685.
APA	杨永章,Yan, Jianguo,Jian, Nianchuan,Matsumoto, Koji,&Barriot, Jean-Pierre.(2024).Numerical model of Phobos’ motion incorporating the effects of free rotation.Astronomy and Astrophysics,685.
MLA	杨永章,et al."Numerical model of Phobos’ motion incorporating the effects of free rotation".Astronomy and Astrophysics 685(2024).