The method of spherical harmonic analysis is using widely in geomagnetic and gravitation.
球谐分析在地磁学与地球重力学中得到广泛的应用。
There are many gravity quantities expressed by finite spherical harmonic series expansions in the computing for geopotential.
重力场计算中，经常需要计算以有限阶球谐级数表示的重力场元。
The spherical harmonic coefficients of the gravity field can be obtained from gravity gradients through regularization scheme.
重力场球谐函数系数可以通过正则化方法由重力梯度算出。
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.
在变换后的球面域上用球谐函数来拟合速度函数，达到降低球谐系数阶数的目的。
A new method of fast computing the spherical harmonic perturbation on satellites and the recurrence relations of the coefficients of the Earth's gravity are given.
给出快速计算卫星球谐摄动和地球引力系数递推关系式的一个新方法。
A new approach is presented to calculate 3d skull spatial decomposition feature vector through using the orthogonal decomposition property of spherical harmonic transform.
利用球面调和级数的空间正交分解特性，计算三维颅骨的空间分解特征向量，继而构造三维特征描述子。
According to spherical harmonic coefficients of 360 orders of EGM96 Earth's gravity field model, density anomaly and tectonic stress in different depth of crust have been calculated.
利用360阶的EGM96地球重力场球谐系数计算了不同深度球层的密度异常及不同深度球层的构造应力。
The solution of the Earth elastic dynamical equations can be also referred to some relations of complex vector spherical harmonic functions to the elastic strain tensor in spherical coordinates.
同时还研究了在球坐标系下弹性应变张量与复数矢量球函数的一些关系，为地球弹性动力学方程的解算提供参考。
Sommerfeld's wave expansion theory demonstrates that a spherical wave can be expanded as the superposition of plane simple harmonic waves.
索末菲关于波的展开理论证明，球面波可以展开为平面简谐波的叠加。
The global magnetic force distribution of single moving electron is firstly obtained by means of spherical cap harmonic analysis.
采用球冠谐和分析方法，首次得到了单个运动电子在全球的受力分布。
The relationship between the harmonic component of the coupler curves and the harmonic component of the rotation-angle function and the dimensional type of spherical four-bar mechanism is discovered.
借助傅里叶级数理论建立球面四杆机构处于空间任意位置时连杆曲线的数学方程。
By analyzing the geometrical factor of the spherical-harmonic modes, the general rules are proposed for optimizing the configuration of beams.
本文通过分析球谐模的几何因子，提出了光束排布的优化规则。
By analyzing the geometrical factor of the spherical-harmonic modes, the general rules are proposed for optimizing the configuration of beams.
本文通过分析球谐模的几何因子，提出了光束排布的优化规则。
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