收稿日期: 2022-07-05
网络出版日期: 2022-12-02
Analysis of Entry Footprint Based on Pseudospectral Method
Received date: 2022-07-05
Online published: 2022-12-02
再入可达域是飞行器机动能力的重要体现,可为轨迹规划与制导、着陆点选择等提供依据.为此,研究了一种基于伪谱法的可达域快速生成方法,并对可达域的影响因素进行仿真分析.将攻角、倾侧角同时作为控制量被离散化而形成非线性规划问题,并通过求解若干个不同纵程条件下的最大横程问题得到可达域.基于上述方法对影响可达域的相关因素进行仿真与分析.仿真结果表明,飞行器质量、气动参考面积、大气密度等在一定范围内不会导致可达域的变化;超出一定范围后,会对短纵程轨迹产生明显影响,影响可达域的左半部分,而基本不影响可达域的右半部分;升阻比对可达域的影响较大,其大小与可达域范围成正相关.
李兆亭, 周祥, 张洪波, 汤国建 . 基于伪谱法的再入可达域影响因素分析[J]. 上海交通大学学报, 2022 , 56(11) : 1470 -1478 . DOI: 10.16183/j.cnki.jsjtu.2022.256
Entry footprint is an essential manifestation of vehicle maneuverability, which can provide the basis for trajectory planning and guidance, landing point selection, etc. A fast footprint-generation method based on the pseudospectral method is proposed. The influencing factors of footprint are simulated and analyzed. In this method, the attack and bank angles are simultaneously discretized as control quantities to form the nonlinear programming problem of the pseudospectral method, and the footprint is obtained by solving the maximum transverse range problem for several different longitudinal conditions. Moreover, the affecting factors of the footprint are studied. The simulation results show that the mass, reference area, atmospheric density, etc., do not cause the change of the footprint within a specific range. Beyond a certain range, the short longitudinal trajectory would be significantly affected. The left half of the footprint is affected, while the right half is not changed. The effect of the lift-to-resistance ratio on the footprint is significant, and its size is positively related to the footprint range.
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