曲面地表对弹道影响的一种计算方法
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摘要
针对曲面地表对弹道影响的计算方法,分析了椭球地表情况下重力的算法以及落地点的确定方法,提出了使用内切圆球逼近椭球地表的方法建立等效圆球地表模型,研究了内切圆球半径的计算方法.比较了椭球地表弹道模型、圆球地表弹道模型以及平面地表弹道模型.结果表明,新建立的圆球地表弹道模型比椭球地表弹道模型简单,比平面地表弹道模型有更高的精度.
Aiming at the problem of the influence of curved earth surface on calculating trajectory,the calculation method of gravity under the conditions of ellipsoidal ground surface,as well as impact point determination method,was analyzed.A sphere earth model was built by using inner tangent sphere to approximate the ellipsoidal earth surface.The calculation method for the sphere radius was researched.The ellipsoidal earth surface model,sphere earth surface model and plane earth model were compared.The sphere earth model is simpler than the ellipsoidal earth surface model and more accurate than the plane earth model.
Aiming at the problem of the influence of curved earth surface on calculating trajectory,the calculation method of gravity under the conditions of ellipsoidal ground surface,as well as impact point determination method,was analyzed.A sphere earth model was built by using inner tangent sphere to approximate the ellipsoidal earth surface.The calculation method for the sphere radius was researched.The ellipsoidal earth surface model,sphere earth surface model and plane earth model were compared.The sphere earth model is simpler than the ellipsoidal earth surface model and more accurate than the plane earth model.
引文
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[3]徐明友.高等外弹道学[M].北京:高等教育出版社,2003.XU Ming-you.Senior ballistics[M].Beijing:High EducationPress,2003.(in Chinese)
[4]张毅.弹道导弹弹道学[M].长沙:国防科技大学出版社,1999.ZHANG Yi.Ballistics of ballistic missle[M].Changsha:NationalUniversity of Defense Technology Press,1999.(in Chinese)
[5]李瑞浩.重力学引论[M].北京:地震出版社,1988.LI Rui-hao.Grravity introduction[M].Beijing:EarthquakePress,1988.(in Chinese)
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