一种基于凸优化技术的航天器轨迹快速优化框架

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中图分类号：V412.4 文献标志码：B 文章编号：1671-5276（2025）03-0132-07

Rapid Optimization Framework for Spacecraft Trajectories Based on Convex Optimization Technology

JINShuaichen

（College of Astronautics，Nanjing University of Aeronauticsand Astronautics，Nanjing 211O6，China）

Abstract：Asrendezvousandapproach perations frequentlyappear invariousspace misionsrelatedtothedevelopmentof aerospacetechnology，improvingtherapidorbitinsertionandmisioexpansionofinorbitspacecraftisofgreatsignificancefor saving manpowerand materialresources.Arapidoptimization framework forspaceraft trajectory basedonconvexoptimization techniques was proposedbyBirkhoffpseudospectralmethod.Adynamicmodeloftwo-bodyrelativemotion wasestablished， optimalcontroltheorywasintroduced，andconvexoptimization techniqueswereusedtohandlenonlinearconstraints.The theoreticalframeworksofBirkhoffpseudospectralmethodbasedonfirst-orderdiferentiation（FBPSM）andsecond-order diferentiation（SBPSM）weredeveloped.Theresults indicatethatFBPSMand SBPSMnotonlyinheritthesolvingadvantagesof traditionalpseudospectralmethods，utalsoincreasecomputationalefiencybyboutthreetimesintersofomplexdmical systems.Thisstudyprovidesthetheoreticalreferenceandtechnicalsupportforeal-timereconstructionandrapidoptimizationof spacecraft trajectories.

Keywords：in-orbitspacecraft；rendezvousandapproachoperations；trajectoryoptimization；Birkhof pseudospectralmethod; convex optimization technique；optimal control theory

0 引言

现阶段，航天任务将高自主性、高可靠性作为未来航天技术发展的重要发展特征[1]。（剩余7602字）