| 引用本文: | 杜昕,李海阳,黄悦琛.探月飞船初次再入段纵程的解析预测方法.[J].国防科技大学学报,2014,36(6):65-69.[点击复制] |
| DU Xin,LI Haiyang,HUANG Yuechen.Analytical downrange prediction of the first entry phase in skip entry for lunar module[J].Journal of National University of Defense Technology,2014,36(6):65-69[点击复制] |
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| 探月飞船初次再入段纵程的解析预测方法 |
| 杜昕, 李海阳, 黄悦琛 |
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(国防科技大学 航天科学与工程学院， 湖南 长沙 410073)
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| 摘要: |
| 探月飞船升阻比较低，为实现长纵程飞行，必须采用跳跃式再入方式。在跳跃式再入轨迹在线规划或预测制导中，如何快速准确地预测初次再入段纵程是一个非常关键的问题。针对这一问题，研究提出一种解析预测方法：利用匹配渐进展开方法得到再入纵向运动方程的闭型近似解；将初次再入段轨迹分为三段，第一段采用高度作为积分自变量，并利用复合梯形公式得到纵程，第二段和第三段分别采用二次多项式来拟合阻力加速度-能量剖面，根据近似解结果反解出多项式系数，并将得到的阻力加速度倒数-能量函数进行积分，得到第二段和第三段的纵程；对解析预测方法的精度和计算效率进行分析，结果表明该方法计算精度较高，速度快，可用于跳跃式再入轨迹的在线规划和制导。 |
| 关键词: 跳跃式再入 解析预测 闭型近似解 阻力加速度-能量剖面 |
| DOI：10.11887/j.cn.201406012 |
| 投稿日期：2014-05-16 |
| 基金项目:国家自然科学基金资助项目（11372345）；国家重点基础研究发展计划（973计划）资助项目（2013CB733100） |
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| Analytical downrange prediction of the first entry phase in skip entry for lunar module |
| DU Xin, LI Haiyang, HUANG Yuechen |
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(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| For lunar module with low lift to drag ratio, skip entry trajectory must be flown to extend downrange. According to the key element of skip entry trajectory online planning or predictive guidance is how to predict the downrange of the first entry phase rapidly and precisely, an analytical method was proposed. Firstly, closed-form approximate solution of the longitudinal equation of motion was obtained from using matched asymptotic expansion method. Secondly, the first entry trajectory was divided into three phases. In the first phase, altitude served as the independent variable of integration, downrange was obtained from using a composite trapezoidal-rule. In the second and third phases, quadratic polynomial was used for drag-energy profile fitting, and the polynomial coefficients were solved according to the result of the approximate solution, and downrange was obtained by integrating the reciprocal of drag versus energy function. Finally, the accuracy and computational efficiency of the proposed method were analyzed. Simulation results indicate that the characteristic of the proposed method with high accuracy and computational efficiency is very suitable for online planning and guidance. |
| Keywords: skip entry analytical prediction closed-form solution drag-energy profile |
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