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基于曲面地表的弹箭射程计算方法 被引量:1

Method of Calculation on the Range of Projectiles and Rockets Based on Curved Earth's Surface
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摘要 为了研究地表曲面对弹箭射程的影响,基于Kane方法建立计及地表曲面、重力加速度大小和方向变化的改进刚体弹道模型,将大地线的概念引入到弹箭射程计算中,讨论大地主题反解法、正球体两点距算法、椭球体两点距算法、高斯投影距算法4种在曲面地表情况下计算射程的方法,比较改进刚体弹道模型和普通刚体弹道模型计算射程的差异。计算结果表明,在300 km范围内,椭球体两点距算法计算射程具有较高的精度,可作为曲面地表上的射程计算方法;考虑地表曲面后,采用改进刚体弹道模型比普通刚体弹道模型精度更高。 To study the effects of curved earth' s surface on the ranges of projectiles and rockets, a modified rigid body trajectory model is built based on Kane method in which the curved earth' s surface and the changes in both the size and direction of the gravity acceleration are considered. The concept of geodesic line is introduced to the range calculation of projectiles or rockets. Four calculation methods for the range under the condition of curved earth' s surface are discussed, such as inverse solution of geodetic problem and so on. The range errors calculated with the modified rigid body trajectory model and the ordinary rigid body trajectory model are compared. The result shows that the spheroidal distance algorithm has a high calculation precision in the range of 300 km, and can be used to calculate the range on the curves earth's surface. The modified rigid body trajectory model is more accurate than the ordinary rigid body trajectory model in the consideration of the curved earth's surface.
出处 《兵工学报》 EI CAS CSCD 北大核心 2014年第8期1187-1192,共6页 Acta Armamentarii
关键词 兵器科学与技术 曲面地表 弹道模型 射程 ordnance science and technology curved earth's surface trajectory model range
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