非对称赤道阻尼力矩对远程火箭弹道的影响

Influence of Unsymmetrical Equatorial Damp Moment on Long-range Rockets Trajectory

针对远程火箭试验射程与计算射程不相符的问题,提出了大攻角下应考虑赤道阻尼力矩章动阻尼与进动阻尼特性的不同,推导了这种不同与攻角的关系,用奇点理论与振幅平面方程推导了在这种非对称赤道阻尼力矩作用下产生极限圆锥运动的条件,通过数值计算进行了验证.结果表明,大攻角下非对称赤道阻尼力矩能产生极限圆锥运动,可造成远程火箭攻角长时间不衰减从而增大阻力、减小射程.

Aiming at the problem that long-range rocket＇s testing range is different from the calculating range, a new viewpoint was advanced that there are differences between pitching and yaw of equatorial damp moment when the attacking angle is big. The relation between attacking angle and the differences mentioned was deduced. A boundary condition of ultimate taper movement produced by unsymmetrical equatorial damp moment was deduced based on the singularity theory and swing plan equations, and the numerical calculation was given to validate it＇s correctness. The results show that the ultimate taper movement produced by unsymmetrical equatorial damp moment can keep the big attacking angle for a long time to increase the ballistic resistance and to decrease the range of the long-range rocket.