摘要
为了研究地球的重力偏心对射程的影响,用球谐函数展开法推导了地球为正常椭球体和圆球体时的重力表达式,对地球的重力偏心进行了计算分析,求出了偏心值。以某远程火箭弹为例,对地球为正常椭球体与圆球体两种情况进行了对比计算,结果表明:地球的重力偏心导致射程的差异比较明显;射角相同时,射程差的绝对值随着纬度的增高而减小;纬度相同时,在最大射程角以内,射程差随着射角的增大而增大。
To study the effect of gravity eccentricity on the ranges, the expression of gravity was educed using spherical harmonic function when the earth is considered as an normal ellipsoid or sphere. The values of gravity eccentricity were calculated and some correlative analysis was conducted. By taking a certain long-range rocket projectile as an example, the contrastive calculation of two ranges was done when the earth is considered as a sphere and an ellipsoid. The results show that the difference of ranges caused by gravity eccentricity is obvious; the absolute value of range difference decreases with the increasing of latitude at two identical fire angles; the range difference increases with the increasing of angle of fire at two identical latitudes within the maximal angle of fire.
出处
《兵工学报》
EI
CAS
CSCD
北大核心
2007年第8期919-922,共4页
Acta Armamentarii
关键词
固体地球物理学
球谐函数
引力位势
重力偏心
射程
solid-earth geophysics
spherical harmonic function
gravitation
gravity eccentricity
range