AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Article Link
Collect
Submit Manuscript
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article

Near-optimal maneuver design for high-accuracy trans-lunar injection with highly elliptical phasing loops

Haiyue Ao1,2Yu Shi2Pengbin Guo1Hao Zhang1,2( )
Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Beijing 100094, China
University of Chinese Academy of Sciences, Beijing 100049, China
Show Author Information

Graphical Abstract

Abstract

To match the trans-lunar injection with high accuracy, a near-optimal orbit control method for phasing loops is proposed. Sensitivity analysis was performed based on Gauss’s variational equations, and a near-optimal orbit control strategy was developed. A sequential shooting method was proposed to reduce the dimensions of each shooting problem and improve convergence. To satisfy the accessibility requirements of ground facilities, a maneuvering location adjustment strategy is proposed. The advantage of the delta-V saving of the near-optimal method was verified by comparing with the differential correction method. The robustness of the practical method was verified using Monte Carlo simulations with high-fidelity dynamics. The results of this study can be applied to midcourse correction of phasing loops before the trans-lunar injection of a lunar probe.

References

[1]
Smith, M., Craig, D., Herrmann, N., Mahoney, E., Krezel, J., McIntyre, N., Goodliff, K. The Artemis program: An overview of NASA’s activities to return humans to the moon. In: Proceedings of the IEEE Aerospace Conference, 2020.
[2]

Qi, Y., de Ruiter, A. Trajectory correction for lunar flyby transfers to libration point orbits using continuous thrust. Astrodynamics, 2022, 6(3): 285–300.

[3]

Yin, Y. C., Wang, M., Shi, Y., Zhang, H. Midcourse correction of Earth–Moon distant retrograde orbit transfer trajectories based on high-order state transition tensors. Astrodynamics, 2023, 7(3): 335–349.

[4]
Goodman, J. Apollo 13 guidance, navigation, and control challenges. In: Proceedings of the AIAA SPACE Conference & Exposition, 2009: AIAA 2009-6455.
[5]

Meng, Z. F., Gao, S., Peng, J. Lunar trans-Earth trajectory design and practice for the Chang’e-5 mission. SCIENTIA SINICA Technologica, 2021, 51(8): 859–872. (in Chinese).

[6]

Yang, W. L. Phasing orbit for lunar exploration. Spacecraft Engineering, 2010, 19(2): 11–16. (in Chinese)

[7]
Carrico, J., Carrington, D., Hametz, M., Jordan, P., Peters, D., Schiff, C., Richon, K., Newman, L. Maneuver planning and results for Clementine (the Deep Space Program Science Experiment). In: Proceedings of the 5th AAS/AIAA Spaceflight Mechanics Meeting, 1995: AAS 95-129.
[8]
Kam, A., Plice, L., Galal, K., Hawkins, A., Policastri, L., Loucks, M., Nickle, C., Lebois, R., Sherman, R. LADEE flight dynamics: Overview of mission design and operations. In: Proceedings of the 25th AAS/AIAA Space Flight Mechanics Meeting, 2015: AAS 15-212.
[9]
Nickel, C., Dichmann, D. J., Lebois, R., Lutz, S., Parker, J. J. Monte Carlo analysis as a trajectory design driver for the TESS mission. In: Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, 2016: AIAA 2016-5665.
[10]

Goswami, M. J. N., Annadurai, M. Chandrayaan-1: India’s first planetary science mission to the moon. Current Science, 2009, 96: 486–491.

[11]
Information on https://www.isro.gov.in/Chandrayaan3Details.html (cited 12 Dec 2023).
[12]

Haruyama, J., Matsunaga, T., Ohtake, M., Morota, T., Honda, C., Yokota, Y., Torii, M., Ogawa, Y., Group, L. W. Global lunar-surface mapping experiment using the Lunar Imager/Spectrometer on SELENE. Earth, Planets and Space, 2008, 60(4): 243–255.

[13]
Shyldkrot, H., Shmidt, E., Geron, D., Kronenfeld, J., Loucks, M., Carrico, J., Policastri, L., Taylor, J. The first commercial lunar lander mission was the Beresheet mission. In: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, 2019: AAS 19-747.
[14]

Cao, P. F., Liu, Y., Ma, C. L., Chen, M. Design and characteristic analysis of Chang’e lunar probe Earth–Moon transfer emergency orbit based on multi-cycle phase modulation. Journal of Astronautics, 2022, 43(3): 301–309. (in Chinese)

[15]

Yang, W. L., Zhou, W. Y. Analysis on midcourse correction of translunar trajectory for CE-1. Aerospace Control and Application, 2008, 34(6): 3–7. (in Chinese)

[16]

Bae, J., Song, Y. J., Kim, Y. R., Kim, B. Initial error dispersion and midcourse correction maneuver analysis of the lunar orbiter. International Journal of Aeronautical and Space Sciences, 2018, 19(4): 1041–1051.

[17]
Petersen, J., Richon, K., Stringer, B. Planning and execution of the three mid-course correction maneuvers for the James Webb Space Telescope. In: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, 2022.
[18]

Schaub, H., Alfriend, K. T. Impulsive feedback control to establish specific mean orbit elements of spacecraft formations. Journal of Guidance, Control, and Dynamics, 2001, 24(4): 739–745.

[19]

Yang, H. W., Jiang, Y., Baoyin, H. X. Fuel efficient control strategy for constellation orbital deployment. Aircraft Engineering and Aerospace Technology, 2016, 88(1): 159–167.

[20]

Zhang, H., Gurfil, P. Cooperative orbital control of multiple satellites via consensus. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(5): 2171–2188.

[21]

Zhang, G., Zhang, H. Y., Cao, X. B. New solutions to impulsive correction for argument of perigee using Gauss’s variational equations. Journal of Aerospace Engineering, 2019, 32(5): 04019071.

[22]

Dang, Z. H., Zhou, H., Pan, Z. X., Tang, S. Y. A general method for N-order integral-form Gauss’s variational equations under impulsive control. Aerospace Science and Technology, 2020, 106: 106075.

[23]

Beutler, G. Methods of Celestial Mechanics, Volume I: Physical, Mathematical, and Numerical Principles. Springer Berlin, Heidelberg, 2005: 221–223.

Astrodynamics
Pages 597-611
Cite this article:
Ao H, Shi Y, Guo P, et al. Near-optimal maneuver design for high-accuracy trans-lunar injection with highly elliptical phasing loops. Astrodynamics, 2024, 8(4): 597-611. https://doi.org/10.1007/s42064-024-0205-9

1017

Views

0

Crossref

0

Web of Science

0

Scopus

0

CSCD

Altmetrics

Received: 06 October 2023
Accepted: 27 January 2024
Published: 09 August 2024
© Tsinghua University Press 2024
Return