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SCIENTIA SINICA Physica, Mechanica & Astronomica, Volume 49, Issue 8: 084506(2019) https://doi.org/10.1360/SSPMA2018-00356

Search and analysis on quasi-satellite orbits around Martian moon Phobos

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  • ReceivedOct 23, 2018
  • AcceptedFeb 14, 2019
  • PublishedApr 30, 2019
PACS numbers

Abstract

Martian moons are of great significances for the planetary science research and thus have been hot targets of deep space explorations for several decades. It is pivotal to find stable orbits around the moons to meet requirements of the scientific exploration. A new orbital dynamics model around Martian moons has been established in this paper within the framework of the Restricted Three-Body Problem consisted of Mars, the moon, and the spacecraft. The non-spherical gravity field of the Martian moon, which is modelled as that of a homogeneous polyhedron, and the eccentricity of the moon’s orbit have been both taken into account. That is to say, the orbital model established is a combination of the Restricted Three-Body Problem and the orbital problem in a non-spherical gravity field of a small body. By using numerical simulations, stable Quasi-Satellite Orbits (QSOs) which start from the equatorial principal axes of Phobos have been searched, and the stability characteristics of the QSOs have been analyzed. The sensitivity of stable orbits with respect to the initial velocity error, the feasibility of global coverage, and the minimum/maximum orbital heights have been analyzed for the stable QSOs. The considerations for selecting QSOs for exploration missions have also been studied. Finally, some typical 2D QSOs and 3D QSOs are selected for further analyses, including their geometric characteristics and potential applications. Through the analyses of several QSOs, we have found that when choosing a stable QSO for a specific mission, comprehensive considerations are needed. The model established in this paper is widely applicable in the orbital dynamics research and orbital design around Martian moons, and it has revealed the basic distribution and characteristics of the stable QSOs around Martian moons, which are crucial for the orbit design of the prober.


Funded by

国家自然科学基金(11872007,11432001,11602009)

中国科协青年人才托举工程(2017QNRC001)

中央高校基本科研业务费专项资金


References

[1] Rosenblatt P. The origin of the Martian moons revisited. Astron Astrophys Rev, 2011, 19: 44 CrossRef ADS Google Scholar

[2] Duxbury T C, Zakharov A V, Hoffmann H, et al. Spacecraft exploration of Phobos and Deimos. Planet Space Sci, 2014, 102: 9-17 CrossRef ADS Google Scholar

[3] Sagdeev R Z, Zakharov A V. Brief history of the Phobos mission. Nature, 1989, 341: 581-585 CrossRef ADS Google Scholar

[4] Gao J L, Zhang X Q. The soviet phobos probe (in Chinese). Missiles Spacecraft, 1987, 11: 24–27 [高景林, 张遐圻. 苏联的火卫一探测器. 世界导弹与航天, 1987, 11: 24–27]. Google Scholar

[5] Gil P J S, Schwartz J. Simulations of quasi-satellite orbits around Phobos. J Guidance Control Dyn, 2010, 33: 901-914 CrossRef ADS Google Scholar

[6] Li H Y. Russian Phobos-grunt project (part 1) (in Chinese). Aerospace China, 2011, 3: 32–36 [李浩悦. 俄罗斯“火卫一-土壤”计划(上). 中国航天, 2011, 3: 32–36]. Google Scholar

[7] Li H Y. Russian Phobos-grunt project (part 2) (in Chinese). Aerospace China, 2011, 4: 32–35 [李浩悦. 俄罗斯“火卫一-土壤”计划(下). 中国航天, 2011, 4: 32–35]. Google Scholar

[8] Zhang Y M. Phobos-grunt which carries Yinghuo-1 failed to Change orbit as planned (in Chinese). Space Inter, 2011, 12: 18–24 [张扬眉. 携带萤火-1的“火卫一-土壤”探测器未能按计划变轨. 国际太空, 2011, 12: 18–24]. Google Scholar

[9] Oberst J, Wickhusen K, Willner K, et al. DePhine—The deimos and phobos interior explorer. Adv Space Res, 2018, 62: 2220-2238 CrossRef ADS Google Scholar

[10] Campagnola S, Yam C H, Tsuda Y, et al. Mission analysis for the Martian Moons Explorer (MMX) mission. Acta Astronaut, 2018, 146: 409-417 CrossRef ADS Google Scholar

[11] Kogan A I. Distant satellite orbits in the restricted circular three body problem. Cosmic Res, 1989, 26: 705–710. Google Scholar

[12] Spiridonova S, Wickhusen K, Kahle R, et al. Quasi-satellite orbits around deimos and Phobos motivated by the dephine mission proposal. In: Proceedings of the 26th International Symposium on Space Flight Dynamics. Matsuyama, 2017. Google Scholar

[13] Broucke R A. Periodic orbits in the restricted three body problem with earth-moon masses. Technical Report 32-1168, Jet Propulsion Laboratory, 1968. Google Scholar

[14] Hénon M. Numerical exploration of the restricted problem, V. Astron Astrophys, 1969, 1: 223–238. Google Scholar

[15] Benest D. Effects of the mass ratio on the existence of retrograde satellites in the circular plane restricted problem. Astron Astrophys, 1974, 32: 39. Google Scholar

[16] Wiesel W E. Stable orbits about the martian moons. J Guidance Control Dyn, 1993, 16: 434-440 CrossRef ADS Google Scholar

[17] Cabral F S P, Gil P. On the Stability of Quasi-Satellite Orbits in the Elliptic Restricted Three-Body Problem. Dissertation for Master Degree. Lisbon: Universidade Técnica de Lisboa, 2011. Google Scholar

[18] Zamaro M, Biggs J D. Identification of new orbits to enable future mission opportunities for the human exploration of the Martian moon Phobos. Acta Astronaut, 2016, 119: 160-182 CrossRef ADS Google Scholar

[19] Zamaro M, Biggs J. Natural and Artificial Orbits Around the Martian Moon Phobos. Dissertation for Doctoral Degree. Strathclyde: University of Strathclyde, 2015. Google Scholar

[20] Canalias E, Lorda L, Martin T, et al. Trajectory analysis for the phobos proximity phase of the MMX mission. In: Proceedings of the International Symposium on Space Technology and Science. Ehime, 2017. 3–9. Google Scholar

[21] Scheeres D J, Van wal S, Olikara Z, et al. Dynamics in the phobos environment. Adv Space Res, 2019, 63: 476-495 CrossRef ADS Google Scholar

[22] Bezrouk C, Parker J S. Ballistic capture into distant retrograde orbits around Phobos: An approach to entering orbit around Phobos without a critical maneuver near the moon. Celest Mech Dyn Astr, 2018, 130: 10 CrossRef ADS Google Scholar

[23] Werner R A, Scheeres D J. Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia. Celestial Mech Dyn Astron, 1996, 65: 313–344. Google Scholar

[24] Jiang Y, Li H N. Orbital Mechanics of Asteroid Explorer (in Chinese). Beijing: China Aerospace Publishing House, 2017. 2–3 [姜宇, 李恒年. 小行星探测器轨道力学. 北京: 中国宇航出版社, 2017. 2–3]. Google Scholar

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