A Nonlinearly Preconditioned Full-space Lagrange-Newton Method for Low Thrust Orbit Transfer Optimization Problems

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题名:	A Nonlinearly Preconditioned Full-space Lagrange-Newton Method for Low Thrust Orbit Transfer Optimization Problems
作者:	黃耀平;Huang, Yao-Ping
贡献者:	數學系
关键词:	非線性;Nonlinearly
日期:	2019-08-21
上传时间:	2019-09-03 16:00:10 (UTC+8)
出版者:	國立中央大學
摘要:	在太空任務中電力推進系統被稱為低推力推進系統。最近，在大多數的太空任務中傳統化學推進系統都改變為電力推進系統，因此低推力問題變得更加普遍。而低推力軌道轉移的優化和設計一直是太空探索任務中的難題。針對這些問題, 我們提出了A Nonlinearly Preconditioned Full-space Lagrange-Newton Method 該方法一種基於右非線性預處理技術分別通過替換非線性函數或改變未知數來處理非線性，但它需要在原始系統的子集上進行內部迭代，這導致每步的額外成本。因此，為了有效地提高效率，不需要在每次牛頓迭代上調用非線性預處理，尤其是當近似解接近收斂時。數值計算驗證了該方法的有效性。 iv;In space missions, the low-thrust propulsion system is another name for the electrically-powered spacecraft propulsion system. Recently, traditional chemical propulsion system change to the electrically-powered spacecraft propulsion system in the most space missions, so the low-thrust problems become more common. The optimization and design of low-thrust orbit transfer always have been a difficult problem in space exploration missions. For these problems, we propose a nonlinearly preconditioned Full-space Lagrange-Newton Method. The method is kind of the right nonlinear preconditioning techniques deals with nonlinearities by changing unknowns or replacing nonlinear functions, respectively. Owing to it needs inner iterations working on subsets of the original system, which lead to additional cost per step. Therefore, for the purpose of effectively improve efficiency nonlinear preconditioner require not to be invoked on every Newton iteration, especially when the approximate solution close to the typical solution. The numerical result verifies the effectiveness of the method.
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