同时，球谐函数法的射线效应随光学厚度的增加而减小。
In addition, the ray effect in the spherical harmonics approximation mitigates with increasing optical thickness within gray medium.
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。
The spherical harmonic coefficients of the gravity field can be obtained from gravity gradients through regularization scheme.
这两部分采用相同的垂直结构和物理过程，都用球谐函数作为水平基本函数。
The two components have identical vertical structure and physical process. The global spectral model component uses spherical harmonics as horizontal basis functions.
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。
Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.
理论分析和实验结果表明，该方法比光度立体学、球谐函数方法具有较高的精度和较强的实用性。
Theoretical analysis and experimental results both show that our method has higher precision and better practicability compared with photometric stereo harmonic image method.
仿真结果表明换极后的球谐函数计算扰动引力能够满足精度要求，且在计算中弹道方程的解算速度也有很大的提高。
The result of simulation indicates that this method not only satisfies the precision but also enables us to enhance the calculation speed of the trajectory equations.
文中运用了一种改进的球谐函数法，即换极法，大大简化了勒让德函数的递推计算，并进行了换极前后被动段扰动引力的仿真计算。
In this paper the improved method, also named transformation of the polar, is used to predigest the iterative calculation, and the simulation calculation has been progressed.
BP神经网络的系统误差修正方法的修正精度比球谐函数法提高约20%，有望用到球谐函数法不适用的三轴光电跟踪系统的系统误差修正中。
BP neural network system errors modifying method improves the precision than globe function method about 20% and may be used in three-axis photoelectric tracking system.
BP神经网络的系统误差修正方法的修正精度比球谐函数法提高约20%，有望用到球谐函数法不适用的三轴光电跟踪系统的系统误差修正中。
BP neural network system errors modifying method improves the precision than globe function method about 20% and may be used in three-axis photoelectric tracking system.
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