论文标题
使用自适应高斯正交搭配的最小时间到MARS到MARS的行星际轨道转移
Minimum-Time Earth-to-Mars Interplanetary Orbit Transfer Using Adaptive Gaussian Quadrature Collocation
论文作者
论文摘要
考虑了最小时间，低急性，地球到MARS星际轨道轨迹优化的问题。最小时间轨道转移问题被建模为四相最佳控制问题，其中四个阶段对应于行星比对，地球逃生，地中心体中心转移和火星捕获。然后使用直接搭配自适应高斯正交置式法解决四相最佳控制问题。研究中使用了以下三个模型：（1）循环行星运动； （2）椭圆行星运动； （3）带有重力扰动的椭圆行星运动，其中转移在地静止轨道上开始，并在火星静脉轨道中终止。提供了所有三种情况的结果，并详细研究了一种特殊情况，以显示最佳解决方案的关键特征。 Using the particular value thrust specific force of $0.00098\times 10^{-4}~\textrm{m}\cdot\textrm{s}^{-2}$, it was found that the minimum times for cases (1), (2), and (3) are, respectively, 215 d, 196 d, and 198 d with departure dates, respectively, of 1 July 2020, 30 June 2020, and 28 2020年6月。最后，本研究中提出的问题表述与在接地行星际轨道转移的先前工作进行了比较，发现这项研究的结果显示，相对于先前的工作，转移时间显着改善。
The problem of minimum-time, low-thrust, Earth-to-Mars interplanetary orbital trajectory optimization is considered. The minimum-time orbital transfer problem is modeled as a four-phase optimal control problem where the four phases correspond to planetary alignment, Earth escape, heliocentric transfer, and Mars capture. The four-phase optimal control problem is then solved using a direct collocation adaptive Gaussian quadrature collocation method. The following three models are used in the study: (1) circular planetary motion; (2) elliptic planetary motion; and (3) elliptic planetary motion with gravity perturbations, where the transfer begins in a geostationary orbit and terminates in a Mars-stationary orbit. Results for all three cases are provided, and one particular case is studied in detail to show the key features of the optimal solutions. Using the particular value thrust specific force of $0.00098\times 10^{-4}~\textrm{m}\cdot\textrm{s}^{-2}$, it was found that the minimum times for cases (1), (2), and (3) are, respectively, 215 d, 196 d, and 198 d with departure dates, respectively, of 1 July 2020, 30 June 2020, and 28 June 2020. Finally, the problem formulation developed in this study is compared against prior work on an Earth-to-Mars interplanetary orbit transfer where it is found that the results of this research show significant improvement in transfer time relative to the prior work.
