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spherical harmonic analysis
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  “spherical harmonic analysis”译为未确定词的双语例句
    Research of Methods of Spherical Harmonic Analysis of the Earth's Gravity Field
    地球重力场调和分析方法研究
短句来源
    The theory of spherical harmonic analysis on the satellite gravity gradient tensor is also investigated, and the practical computing model is given.
    并深入研究了利用卫星重力梯度张量求解扰动位系数的球谐分析方法,导出了实用解算数学模型。
短句来源
    This paper mainly focuses on the generalized spherical harmonic series representation of satellite gradiometry and on the generalized spherical harmonic analysis of satellite gradiometry.
    在文献 [1 ]的基础上 ,进一步研究全张量重力梯度数据的全局和局部分量的广义球谐谱表示和轨道根数表示 ,并给出了广义球谐函数与球谐函数之间的关系。
短句来源
    The numerical realization of the kind of fixed integral is the numerical basis of high-resolution gridding mean value computation of different functionals of the disturbing gravity field using the Earth's gravity field model and spherical harmonic analysis and synthesis methods of the gravity field.
    他们的数值实现为利用位模型计算高分辨率扰动重力场元格网平均值、重力场球谐综合分析等奠定了基础。
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  spherical harmonic analysis
Least squares and integral methods for the spherical harmonic analysis of theSq-field
      
Spherical harmonic analysis is made of the grid point values of geopotential heights at 700 mb and 300 mb levels for the months April to August for the years 1967 and 1972.
      
Meridional transport of sensible heat in contrasting monsoon activity: Spherical harmonic analysis
      
The global distributions of the annual and seasonal means of the diurnal (S1) and semidiurnal (S2) surface pressure oscillations are investigated by spherical harmonic analysis.
      
The global distribution of the lunar barometric tideL2 is investigated by spherical harmonic analysis, based on 104 stations for the annual mean, and on 85 stations for the three seasons.
      
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This paper mainly focuses on the generalized spherical harmonic series representation of satellite gradiometry and on the generalized spherical harmonic analysis of satellite gradiometry. Using the form of generalized spherical harmonics, the combination of several components of satellite gradiometry can be represented as in series of generalized spherical harmonics, which are several subsets of larger group of orthogonal functions,i.e. the D functions. If the observations are preprocessed...

This paper mainly focuses on the generalized spherical harmonic series representation of satellite gradiometry and on the generalized spherical harmonic analysis of satellite gradiometry. Using the form of generalized spherical harmonics, the combination of several components of satellite gradiometry can be represented as in series of generalized spherical harmonics, which are several subsets of larger group of orthogonal functions,i.e. the D functions. If the observations are preprocessed by averaging to form a constant radius, equiangular grid, we can easy obtain good formulae for high degree and order global spherical harmonic analysis from D functions as eigenfunctions. We conclude if we view upon the data set as being a set of observations distributed in some way in three dimensional space, a regular, global of observations in geocentric Cartesian system or in local geocentric spherical coordinate system is more convenient for recovery of spherical harmonic coefficients, and if we consider the data set as a time series, the observations given in subsequent points along a satellite orbit, the observations in geocentric Cartesian system or in orbital coordinate system is more convenient for computation of spherical harmonic coefficients.

在文献 [1 ]的基础上 ,进一步研究全张量重力梯度数据的全局和局部分量的广义球谐谱表示和轨道根数表示 ,并给出了广义球谐函数与球谐函数之间的关系。从理论上得到了全张量重力梯度数据的描述方法和由全张量重力梯度网格数据恢复全球重力位谱系数的基本公式。本文对全张量重力梯度数据的谱表示和谱分析所做的工作 ,对由重力梯度张量的部分分量恢复全球重力位谱系数有一定的参考价值。

This paper deduces some formulae about the fixed integral of generalized spherical harmonics, using basic recursive formula on integral of spherical harmonics, which often exist in the synthesis and analysis on spherical harmonics, and some modified formulae are presented. According to numeric tests, the underflow problems on the computing for fixed integral of generalized spherical harmonics are solved by the modified formulae and at the same time, these formulae improve the computing accuracy. The numerical...

This paper deduces some formulae about the fixed integral of generalized spherical harmonics, using basic recursive formula on integral of spherical harmonics, which often exist in the synthesis and analysis on spherical harmonics, and some modified formulae are presented. According to numeric tests, the underflow problems on the computing for fixed integral of generalized spherical harmonics are solved by the modified formulae and at the same time, these formulae improve the computing accuracy. The numerical realization of the kind of fixed integral is the numerical basis of high-resolution gridding mean value computation of different functionals of the disturbing gravity field using the Earth's gravity field model and spherical harmonic analysis and synthesis methods of the gravity field.

运用球谐函数定积分的基本递推公式,推导了在重力场球谐综合与球谐分析中出现的广义球谐函数定积分的计算公式;给出了其适用于超高阶次的改良型递推公式。数值试验表明,该改良公式具有较高的计算精度和计算速度,解决了超高阶次广义球谐函数定积分计算的溢出问题,拓展了这类定积分的计算公式。他们的数值实现为利用位模型计算高分辨率扰动重力场元格网平均值、重力场球谐综合分析等奠定了基础。

 
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