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Hybrid guidance method for launch vehicle trans-lunar injection
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Kang GUO1, 2, Huifeng LI1, 2, *, Weimin BAO3
Journal of Beijing University of Aeronautics and Astronautics | 2026, 52(10) : 3592 - 3601
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Journal of Beijing University of Aeronautics and Astronautics | 2026, 52(10): 3592-3601
Hybrid guidance method for launch vehicle trans-lunar injection
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Kang GUO1, 2, Huifeng LI1, 2, *, Weimin BAO3
Affiliations
  • 1School of Astronautics,Beihang University,Beijing 100191,China
  • 2State Key Laboratory of High-Efficiency Reusable Aerospace Transportation Technology,Beihang University,Beijing 100191,China
  • 3China Aerospace Science and Technology Corporation,Beijing 100048,China
Published: 2026-10-31 doi: 10.13700/j.bh.1001-5965.2025.0353
Outline
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This paper addresses the critical guidance problem for launch vehicles performing trans-lunar injection missions with low thrust-to-weight ratios, where the extended flight duration and substantial multi-source uncertainties present formidable challenges to conventional closed-loop guidance methods. A novel hybrid guidance approach integrating second-order cone programming with neighboring optimal control is developed to overcome these challenges. The proposed methodology begins with establishing a comprehensive trans-lunar injection problem model that explicitly accounts for multi-source uncertainties. A hybrid guidance strategy based on real-time trajectory planning is formulated to handle these uncertainties effectively. The main innovation is the application of a real-time trajectory planning technique that uses second-order cone programming in conjunction with Gauss pseudospectral discretization. By synergistically applying the costate mapping theorem and exploiting the dual output of second-order cone programming, the method achieves high-precision costate estimation, which provides the essential foundation for the neighboring optimal control component. A trajectory correction method based on neighboring optimal control is developed to address situations where uncertainties cause significant trajectory deviations. This method generates high-quality initial references for the second-order cone programming solver, substantially improving convergence characteristics and computational efficiency. Extensive numerical experiments demonstrate the superiority of the proposed guidance method in trans-lunar injection missions. The computational performance shows remarkable improvement, with the average computation time reduced to 75.353 milliseconds per guidance cycle, representing a 30.67% reduction. In comparison to current methods, this hybrid guidance method’s successful demonstration offers a novel and feasible technical pathway for trans-lunar injection missions.

launch vehicle guidance  /  trans-lunar injection  /  real-time trajectory planning  /  second-order cone programming  /  neighboring optimal control
郭康, 李惠峰, 包为民. 运载火箭地月转移入轨混合制导方法. 北京航空航天大学学报, 2026 , 52 (10) : 3592 -3601 . DOI: 10.13700/j.bh.1001-5965.2025.0353
Kang GUO, Huifeng LI, Weimin BAO. Hybrid guidance method for launch vehicle trans-lunar injection[J]. Journal of Beijing University of Aeronautics and Astronautics, 2026 , 52 (10) : 3592 -3601 . DOI: 10.13700/j.bh.1001-5965.2025.0353
Year 2026 volume 52 Issue 10
30
15
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Article Info
doi: 10.13700/j.bh.1001-5965.2025.0353
  • Receive Date:2025-06-06
  • Online Date:2026-10-30
  • Published:2026-10-31
Article Data
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History
  • Received:2025-06-06
  • Accepted:2025-12-05
Affiliations
    1School of Astronautics,Beihang University,Beijing 100191,China
    2State Key Laboratory of High-Efficiency Reusable Aerospace Transportation Technology,Beihang University,Beijing 100191,China
    3China Aerospace Science and Technology Corporation,Beijing 100048,China

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表12种不同金属材料的力学参数
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小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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