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本文推导出对称弹头由于风、密度和攻角的统计影响所引起落点散布的近似分析法。用简化的弹道模型和扰动的近似解法来估计风和密度的影响。给出了用于计算风和密度引起的散布的协方差法各影响系数的简单关系式。同时得到了有效攻角引起的1σ阻力误差随时间的变化。所得结果以适于直接使用于对称弹头落点散布估计的形式提供。这就不需要通常为得到影响系数而采用的广泛的点质量弹道模拟,也不需要为估计再入攻角对散布的统计影响而采用的Monte Carlo的六自由度模拟。用近似法得到的弹道系数的几个值和用数字计算得到的弹道系数的几个值非常一致。这一结果只限于整个再入期间弹道系数为常数的情况。
This paper deduces the approximate analysis of the symmetric warhead scatter due to the statistical influence of wind, density and angle of attack. Estimate the effects of wind and density with a simplified ballistic model and perturbed approximate solution. The simple relationship between the coefficients of influence of the covariance method for calculating wind and density dispersion is given. At the same time, the 1σ resistance error caused by effective angle of attack changed with time. The results are provided in a form suitable for direct use in the estimation of the impact distribution of symmetric warheads. This eliminates the need for a wide range of point mass ballistic simulations that are typically used to influence the coefficients and does not require Monte Carlo’s six-degree-of-freedom simulations to estimate the statistical impact of reentry angles on dispersion. Several values of the ballistic coefficient obtained by the approximation are in good agreement with several values of the ballistic coefficient numerically calculated. This result is limited to the case where the ballistic coefficient is constant throughout the reentry period.