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提供了一个精确的刚体弹道模型,本模型除了假设弹为刚体外,别无任何简化假设。在此基础上导出了降阶刚体弹道模型,本模型计算结果与刚体弹道模型几乎完全相同(计算结果误差小于1米),而计算速度变则比刚体弹道模型快几十倍。最后分析了降阶的物理意义,从理论上证明了降阶后计算精度高的必然性。降阶刚体弹道模型可用于射表编拟,对于改进编拟方法能起重大作用。由于本文所提供的简化模型不是在质点弹道的基础上进行修补,而是在刚体弹道的基础上作最小程度的简化,所以计算精度很高,而且建立的步骤简单明了。
Provides a precise model of the rigid body trajectory, the model in addition to assuming the body as a rigid body, without any simplifying assumptions. On this basis, the reduced-order rigid body ballistic model is derived. The calculation results of this model are almost the same as the rigid body ballistic model (the calculated error is less than 1 meter), while the calculated velocity variation is several tens times faster than the rigid body ballistic model. Finally, the physical meaning of the reduced order is analyzed, and the inevitability of high precision after the reduction of the order is proved theoretically. The reduced-order rigid body ballistic model can be used for shooting table preparation, which can play a significant role in improving the method of preparation. Because the simplified model provided in this paper is not based on particle trajectory, but rather is simplified on the basis of rigid body trajectory, so the calculation accuracy is high and the established steps are simple and clear.