Lunar-gravity-assisted low-energy transfer from Earth into Distant Retrograde Orbit (DRO)

  • Chen ZHANG ,
  • Hao ZHANG
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  • Technology and Engineering Center for Space Utilization,Chinese Academy of Sciences,Beijing  100094,China

Received date: 2021-10-13

  Revised date: 2021-11-15

  Accepted date: 2022-02-28

  Online published: 2022-03-04

Supported by

National Key R&D Program of China(2018YFB1900605);Key Research Program of the Chinese Academy of Sciences(CAS)(ZDRW-KT-2019-1-0102);National Key Laboratory Fund of Aerospace Flight Dynamics(6142210200302)

Abstract

Deploying the space station on a stable periodic orbit (e.g., distant retrograde orbits, DROs) in the vicinity of the Moon can significantly reduce the lunar exploration cost, and the space station can also be used as a steppingstone for manned asteroid or mars missions. Reducing fuel consumption is an important issue during construction and cargo resupply of the cislunar station. For transter trajectory from Earth into DRO, DRO insertion cost can be effectively saved with the aid of weak stability Boundary (WSB) transfer, but reading WSB directly requires higher launch velocity. This paper aims at improving the numerical sensitivity of transfer trajectory which leverage Lunar Gravity Assist (LGA) and WSB transfer simnltaneously. The initial guess of trajectories are obtained by “perilune Poincare map” and “v infinity matching” strategies, then multiple shooting with analytic gradient is applied under high fidelity model, better computerational efficiency are obtained by applying improved methods. In numerical simulation, for the DRO with a resonant ratio of 2∶1, for the minimum cost solution, the Earth launching injection is 3.127 km/s (60-70 m/s is reduced compared with directly launching into WSB). The time of flight is 102.88 d, and DRO insertion maneuver only needs 66.1 m/s.

Cite this article

Chen ZHANG , Hao ZHANG . Lunar-gravity-assisted low-energy transfer from Earth into Distant Retrograde Orbit (DRO)[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023 , 44(2) : 326507 -326507 . DOI: 10.7527/S1000-6893.2022.26507

References

1 National Aeronautics and Space Administration. NASA’s lunar exploration program overview [EB/OL].(2020-09-01)[2022-02-28]..
2 国家航天局. 中俄两国签署合作建设国际月球科研站谅解备忘录[EB/OL].(2021-03-09)[2022-02-28]..
3 WHITLEY R, MARTINEZ R. Options for staging orbits in cislunar space[C]∥2016 IEEE Aerospace Conference. Piscataway: IEEE Press, 2016.
4 CAPDEVILA L R, HOWELL K C. A transfer network linking Earth, Moon, and the triangular libration point regions in the Earth-Moon system[J]. Advances in Space Research201862(7): 1826-1852.
5 曾豪, 李朝玉, 彭坤, 等. 地月空间NRHO与DRO在月球探测中的应用研究[J]. 宇航学报202041(7): 910-919.
  ZENG H, LI Z Y, PENG K, et al. Research on application of Earth-Moon NRHO and DRO for lunar exploration[J]. Journal of Astronautics202041(7): 910-919 (in Chinese).
6 CONDON G L, WILLIAMS J. Asteroid redirect crewed mission nominal design and performance[C]∥ SpaceOps 2014 Conference. Reston: AIAA, 2014.
7 DAWN T F, GUTKOWSKI J, BATCHA A,et al. Trajectory design considerations for exploration mission 1: AIAA-2018-0968[R]. Reston: AIAA, 2018.
8 BELBRUNO E. Lunar capture orbits, a method of constructing Earth Moon trajectories and the lunar GAS mission: AIAA-1987-1054[R]. Reston: AIAA, 1987.
9 PARKER J S, ANDERSON R L. Low-energy lunar trajectory design: Parker/low-energy[M]. Hoboken: John Wiley & Sons, Inc., 2014.
10 BELBRUNO E A, MILLER J K. Sun-perturbed Earth-to-Moon transfers with ballistic capture[J]. Journal of Guidance, Control, and Dynamics199316(4): 770-775.
11 ZUBER M T, SMITH D E, WATKINS M M, et al. Gravity field of the moon from the gravity recovery and interior laboratory (GRAIL) mission[J]. Science2013339(6120): 668-671.
12 WALKER R, CROSS M. The European student Moon orbiter (ESMO): A lunar mission for education, outreach and science[J]. Acta Astronautica201066(7-8): 1177-1188.
13 PARRISH N L, KAYSER E, UDUPA S,et al. Ballistic lunar transfers to near rectilinear halo orbit: Operational considerations: AIAA-2020-1466[R]. Reston: AIAA, 2020.
14 SONG Y J, KIM Y R, BAE J, et al. Overview of the flight dynamics subsystem for Korea pathfinder lunar orbiter mission[J]. Aerospace20218(8): 222.
15 KOON W S, LO M W, MARSDEN J E, et al. Dynamical systems, the three-body problem and space mission design[M]. Singapore: World Scientific Publishing Company, 2000: 1167-1181.
16 YAGASAKI K. Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time[J]. Celestial Mechanics and Dynamical Astronomy200490(3-4): 197-212.
17 XU M, XU S J. Exploration of distant retrograde orbits around Moon[J]. Acta Astronautica200965(5-6): 853-860.
18 TAN M H, ZHANG K, LV M B, et al. Transfer to long term distant retrograde orbits around the Moon[J]. Acta Astronautica201498: 50-63.
19 SCHEUERLE S T, MCCARTHY B P, HOWELL K C. Construction of ballistic lunar transfers leveraging dynamical systems techniques[C]∥AAS/AIAA Astrodynamics Specialist Conference. Reston: AIAA, 2020.
20 ZHANG Z T, HOU X Y. Transfer orbits to the Earth-Moon triangular libration points[J]. Advances in Space Research201555(12): 2899-2913.
21 TOPPUTO F. On optimal two-impulse Earth-Moon transfers in a four-body model[J]. Celestial Mechanics and Dynamical Astronomy2013117(3): 279-313.
22 TSELOUSOVA A, TROFIMOV S, SHIROBOKOV M. Geometric approach to the design of lunar-gravity-assisted low-energy Earth-Moon transfers[C]∥AAS/AIAA Astrodynamics Specialist Conference.Reston:AIAA, 2021.
23 Space Exploration Technologies Corporation. Falcon 9 launch vehicle payload user’s guide[R]. Hawthrone:SpaceX, 2008.
24 ZIMOVAN E M. Characteristics and design strategies for near rectilinear halo orbits within the Earth-Moon system[D]. West Lafayette: Purdue University, 2017: 1-152.
25 HéNON M. Numerical exploration of the restricted problem. V. Hill's case: Periodic orbits and their stability[J]. Astronomy and Astrophysics1969, (1):223-238.
26 BEZROUK C, PARKER J S. Long term evolution of distant retrograde orbits in the Earth-Moon system[J]. Astrophysics and Space Science2017362(9): 1-11.
27 WELCH C M, PARKER J S, BUXTON C. Mission considerations for transfers to a distant retrograde orbit[J]. The Journal of the Astronautical Sciences201562(2): 101-124.
28 CONTE D, CARLO M D, HO K, et al. Earth-Mars transfers through Moon distant retrograde orbits[J]. Acta Astronautica2018143: 372-379.
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