引力位

地球引力位函数在流处理器上的实现与分析

Implementation and Analysis of Gravitational Potential Function on Stream Processors

地球非球形引力位中田谐项摄动的有关问题

Problem about the perturbation due to tesseral harmonic terms in the nonspherical gravitational potential

关于引力位虚拟压缩恢复级数解的一致收敛性证明

Proof of the Uniform Convergence of the Series Solution About the Fictitious Compress-Recuperation of Gravitational Potential

分析的基本出发点是牛顿万有引力位是由随时间变化的质量密度增量产生的；

The analysis is based on the Newton incremental gravitational potential whose source is the time-varying incremental mass density .

木文从引力位出发，利用格林公式导出了重力异常的边界积分表达式。

The boundary integration of the gravity anomaly is derived from the gravitational potential by using Gre'en 's formula .

本文通过空间扰动位协方差函数特性，得出卫星重力梯度数据与引力位系数的相关协方差函数。

Least Squares Collocation is used to educe the function that can directly compute gravitational potential coefficient by satellite gravity gradiometry data .

依据地球引力位球谐展开，推导了重力梯度张量的径向归算改正公式，并给出改正误差估算模型。

According as the expanding of spherical harmonics of the gravitational potential , the radial correction formula and the estimating error model are given .

利用拉梅谐和函数理论，证明了共焦椭球成层分布三轴椭球体的外部引力位与均质三轴椭球体的外部引力位具有一致的形式。

The purpose of this paper is to give an analytical expression of a tri axes ellipsoid body 's gravitation potential with layered , focus tri axes ellipsoidal density distribution .

本文根据地球引力位的球谐函数展开式，利用重力梯度张量各分量导出了位系数模型的精度估计公式。

According to the spherical harmonics expansion of the Earth 's gravitational potential in this paper , the accuracy estimation formulas of the potential coefficient model are derived by the components of gravity gradient tensor .

本文基于矢量球函数的基本理论，讨论了引潮力和地表应力对地球形变和引力位增量的影响。认为地球潮夕形变和负载形变只有球形场位移，而没有环形场位移。

Based on the theory of vector spherical harmonic functions , this paper discusses influences of the tidal generating force , and the surface stress on the earth deformation as well as the incremental gravitational potential .

给出了基于扰动重力的引力位系数模型，得出了扰动重力的阶方差模型。在局部重力场方面，给出应用扰动重力与地形数据计算垂线偏差和高程异常的计算方法。

This paper gives the gravitational potential coefficient model and the factorial square model and shows the method of computing the vertical deflection and the height anomaly by using the disturbing gravity and the terrain data in regional gravity field .

推导了正规化地球引力位系数表示的地球引力加速度及其对位置的偏导数，避免了不同阶、次非正规化球谐函数数值因相差过大而影响精度的问题。

The author deduces formulas of the Earth 's gravitational acceleration as well as its derivatives with respect to position in fully normalized spherical harmonic coefficients , thus avoiding the gap of quantity level when denoted in non-normalized harmonic coefficients .

给出了引力位在地固坐标系中的球谐表达式和轨道根数表达式以及在卫星重力测量实用计算中的直角坐标系下的引力位、引力向量和引力梯度张量的表达式。

The spherical harmonic expressions of gravitational potential within the Earth Fixed System was provided . For the practical computations of satellite gravity , the expressions of gravity potential , gravity vector and gravity gradient tensor were also provided . 4 .

本文按传统的思路，即从经典场论中密度体的引力位出发，导出了可以计算任意形体的重力异常及其各阶导数的方法。

This paper presents a sort of method for the computation of gravity anomaly and its derivatives of different order due to an arbitrarily shaped body in the traditional train of thought , i.e. , from the concept in classical potential theory .