考虑阻力系数时变的下压段半解析时间预测方法

doi:10.12305/j.issn.1001-506X.2023.02.25

Abstract

Abstract:

The constant drag coefficient hypothesis used in traditional analytical prediction is no longer applicable for hypersonic vehicle in the dive phase due to the complex flight environment, sharp change of trajectory parameters and fast passive deceleration. Considering the influence of angel of attack and Mach number, the expression of drag coefficient is extended, the complex ballistic equation is simplified based on analytical theory, and a differential equation with the remaining range as the independent variable is obtained. Therefore, the trajectory elements can be solved quickly by numerical integration to improve the capability of rapid planning of whole trajectory. Typical trajectory simulation shows that the time prediction error of the dive phase can be reduced to about 1 s compared with the traditional coefficient hypothesis. At the same time, it does not increase the computational complexity. It can realize the accurate and fast forecast of flight time, speed and dynamic pressure of glide vehicle.

Key words: hypersonic glide vehicle, time-varying drag coefficient, encounter flight time estimation, analytic theory simplified

CLC Number:

V448

Zhengda CUI, Mingying WEI, Yunqian LI. Semi-analytical encounter time estimation method in dive phase with time-varying drag coefficient[J]. Systems Engineering and Electronics, 2023, 45(2): 530-537.

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方法	1 000次仿真耗时	预估飞行时间
常值阻力假设解析解	50.135 97	106.45
解析解简化方程数值解	53.320 58	110.35
弹道仿真(1次)	1.865 268	110.825

方法	1 000次仿真耗时	预估飞行时间
常值阻力假设解析解	53.303 808	106.875
解析解简化方程数值解	58.124 676	112.5
弹道仿真(1次)	2.490 953	112.925

方法	1 000次仿真耗时	预估飞行时间
常值阻力假设解析解	53.231 281	106.325
解析解简化方程数值解	59.387 236	111
弹道仿真(1次)	2.606 968	111.6

Semi-analytical encounter time estimation method in dive phase with time-varying drag coefficient

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