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Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发,提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论,给出了非整阶整次球冠谐展开和实用计算公式。

With the idea of finite approximation, we study a new solution method for the satellite altimetry problem. Our result shows that if the continental part of the earth is sphere cap, then the solution of satellite altimetry problem can be transformed into a linear system of equations with variants of the coefficients of spherical harmonic series. We prove that the linear system of equations is separated about the orders of spherical harmonic series.

研究了球界面下卫星测高问题的解法,利用有限逼近方法得到了下列结论:若陆地部分是球冠,则卫星测高问题的解可以转换成关于球谐级数位系数的线性方程组,并且位系数的阶和次是以分离形式出现的,从而确保该解法具有实用意义。

The pole of the spherical cap is at 36°N and l04°E, and its half-angle is 30°.

球冠极位於36°N,104°E,球冠半角为30°。

In this paper, we propose a method of terrain correction in the domain of the spherical cap, and analyze the transformation of different spherical coordinates and the reconstruction of the terrain model that the method involved.

本文提出球坐标系中的球冠域地形校正计算方法,给出了该方法涉及的球坐标系之间坐标转换方法和球冠域内地形模型重构方法,并进行理论验证。

The truncation order of the spherical cap harmonic model is 8, the pole of the spherical cap is at 36°N and 104°E, and its half-angle is 30°.

冠谐模型的截断阶数为 8,球冠极位于 36°N和 10 4°E ,球冠半角为 30°。

The truncation order of the spherical cap harmonic model is 8, the pole of the spherical cap is at 36°N and 104°E, and its halfangle is 30°.

冠谐模型的截断阶数为8,球冠极位于36°N和104°E,球冠半角为30°。

The spherical cap harmonic modelsof the geomagnetic reference field in the region are calculated also.

球冠极的空间位置坐标为39.5°N和117.0°E,球冠半角为4°。

Four factors likely to influencing soil adhesion were considered, and every factor includes three levels. The four factors were the height h, radius r, spacing d and distribution of spherical cap σ.

球冠高度h、球冠底面圆半径r、球冠间距d、球冠分布形态σ为试验因素,采用L9(34)正交试验测试了土壤黏附力。

The device comprises an arc discharge vacuum chamber; wherein, the arc discharge vacuum chamber is connected with a vacuum pump and is internally provided with a graphite cathode and a graphite anode which are connected with a DC supply. The device is characterized in that the graphite cathode and the graphite anode are respectively provided with an upper spherical crown shape graphite plate and a lower spherical crown shape graphite plate which are matched with each other and formed a spherical crown shape capacitor.

它包括电弧放电真空室,电弧放电真空室与真空泵相连接,电弧放电真空室内设有石墨阴极和石墨阳极,石墨阴极和石墨阳极与直流电源相连接,其特征在于在石墨阴极和石墨阳极上分别设相配合的上球冠形石墨板和下球冠形石墨板,上球冠形石墨板和下球冠形石墨板形成球冠型电容器。

Regression equal between traction resistance and partial sphere height, bottom circle radium was set up to explore the effect of two evident factors(height and bottom circle radium of the partial sphere) on traction resistance by optimum calculation.

采用二次回归试验设计的方法,建立了球冠高度和球冠底圆半径大小与牵引阻力间的回归方程,进行了优化计算,进一步考察了球冠高度和球冠底圆半径大小两个显著性因素对牵引阻力的影响规律。

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