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范子琛, 霍明英, 任辉, 齐乃明. 基于贝塞尔形函数的电动帆逃离太阳系初始轨迹设计[J]. 深空探测学报(中英文), 2021, 8(6): 625-631. DOI: 10.15982/j.issn.2096-9287.2021.20200088
引用本文: 范子琛, 霍明英, 任辉, 齐乃明. 基于贝塞尔形函数的电动帆逃离太阳系初始轨迹设计[J]. 深空探测学报(中英文), 2021, 8(6): 625-631. DOI: 10.15982/j.issn.2096-9287.2021.20200088
FAN Zichen, HUO Mingying, REN Hui, QI Naiming. Initial Trajectory Design of the Electric Sail Escaping from Solar System Based on the Bezier Curve Method[J]. Journal of Deep Space Exploration, 2021, 8(6): 625-631. DOI: 10.15982/j.issn.2096-9287.2021.20200088
Citation: FAN Zichen, HUO Mingying, REN Hui, QI Naiming. Initial Trajectory Design of the Electric Sail Escaping from Solar System Based on the Bezier Curve Method[J]. Journal of Deep Space Exploration, 2021, 8(6): 625-631. DOI: 10.15982/j.issn.2096-9287.2021.20200088

基于贝塞尔形函数的电动帆逃离太阳系初始轨迹设计

Initial Trajectory Design of the Electric Sail Escaping from Solar System Based on the Bezier Curve Method

  • 摘要: 探测太阳系边际需要寻找高效的推进系统和设计合理逃离太阳系的轨迹。提出了利用贝塞尔形函数方法快速生成电动帆逃离太阳系的三维轨迹,为更精确的轨迹优化算法提供合适的初始解。通过将贝塞尔形函数方法获得的结果作为高斯伪谱法(Gauss Pseudospectral method,GPM)的初始解进行计算,并对贝塞尔形函数方法获得的结果对直接解算器初始解的适用性进行了评估。仿真结果表明,贝塞尔形函数方法可以在短时间内为直接优化求解器设计出合理的电动帆逃离太阳系的三维初始轨迹。对于在太阳系边际探测初步任务设计阶段快速评估大量电动帆飞行场景具有参考意义。

     

    Abstract: The detection of the solar system boundary has gradually attracted people's attention. To explore the solar system boundary, we need to find an efficient propulsion system and design a reasonable trajectory to escape from the solar system. Therefore, this paper proposes to use the Bezier shape-based method to quickly generate the three-dimensional trajectory of the electric sail escaping from the solar system, which provides an appropriate initial solution for a more accurate trajectory optimization algorithm. By taking the results obtained by the Bezier shape-based method as the initial solution of Gauss pseudospectral method(GPM), the applicability of the results obtained by the Bezier shape-based method to the initial solution of the direct solver is evaluated. The simulation results show that the Bezier shape-based method can design a reasonable three-dimensional initial trajectory of the electric sail escaping from the solar system for the direct optimization solver in a short time. This is of great significance for the rapid evaluation of a large number of electric sail flight scenarios in the preliminary mission design stage.

     

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