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The computation implies that the influence of truncation error of up/downwards continuation is about 0.001 m2·s-2, the maximum error is only 0.11 m2·s-2, which can be ignored in CHAMP gravity field recovery. The influence of the reference gravity field error of up/downwards continuation is less than 0.1 m2·s-2 in general, but the maximum error can reach 1.3 m2·s-2. To reduce this error, a high-precision gravity field model should be used in the up/downwards continuation.

计算表明:延拓误差中的截断误差部分影响量级约0.001 m2·s-2,最大误差仅为0.11 m2·s-2,可完全忽略;延拓误差中的参考重力场模型误差影响随参考场选取的不同而有所差异,整体而言小于0.1 m2·s-2,但最大误差可达1.3 m2·s-2,采用高精度的参考重力场模型能大大减小延拓误差影响。

Assuming the initial background is an isothermal and hydrostatic equilibrium atmosphere in which the horizontal pressure gradients are balanced by the geostrophic winds, we study the nonlinear propagation characteristics of the gravity waves, analyze the influence of the earth's rotation on the propagation of gravity wave and compare the simulation results with that obtained by the linear gravity theory.

假设初始背景是满足流体静力学平衡和地转平衡的等温大气,我们研究了重力波的传播特性,分析了地球旋转效应对重力波传播的影响,将模拟结果与线性重力波理论给出的结果及实验观测结果进行了比较。

Satellite gravity gradiometry is a new domain of studying the detection of gravity gradients in space and their applications, in particular, suitable for detecting the short wavelength characteristics of the earth's gravity field At present it is still at the stage of developing the ultra-sensitive tensor gradiometer and carrying out the pre-research of applications.

卫星重力梯度测量是研究空间重力梯度探测与应用的新领域,特别适于检测地球重力场的短波特征。目前它尚处在研制超灵敏张量梯度仪器和应用预研究的阶段。

Satellite gravity gradiometry ; Ultra-sensitive gradiometer ; Gravity gradient tensor ; Earth's' gravity field model.

卫星梯度测量;超灵敏重力梯度仪;重力梯度张量;地球重力场模型

In this paper, the flight states estimate project of the missile active phase based on moving-base gravity gradiometer is put forward. The real-time flight states of a missile are revised by using moving-base gravity gradiometer, measuring the gravity gradient of practical position and adopting the Kalman filter.

为此,提出了基于动基座重力梯度仪的导弹主动段飞行状态估计方案,利用动基座重力梯度仪测得的导弹实际位置引力梯度信息,采用卡尔曼滤波方法,修正导弹当前的飞行状态。

Gravity navigaton system have three elements: gravimeter, gravity map and the algorithm of matching localization of gravity.

重力导航系统有三个要素:导航用重力仪、导航用重力图和重力匹配定位算法。

Gravity navigaton is based on gravity map. A method of constructing gravity map which can meet the demand of navigation is an important step taking account of the gravimeter and the precision of navigation.

重力导航是基于图的导航,根据导航重力仪和导航精度要求的具体情况,寻求能够保证导航定位精度的重力图构建方法是实现重力导航的重要步骤。

In the process of moving from single-sustenance to double- sustenance, the angel of body tends to enlarge; in the process of moving from double-sustenance to single-sustenance, the angle of body tends to decrease; when the right leg is kicking on the ice, the center of gravity is just moved to the upper point of fulcrum, which means the center of gravity is vertical to fulcrum, while the left leg starts to kick on the ice when center of gravity completely surpass fulcrum; right knife touches the front ice of the supporting foot, the left knife touches the interior and front ice; small momentum variation coefficient and good effect of momentum move show the rationality of action and abundance of

单支撑阶段向双支撑阶段过渡过程中,躯干角度有增大趋势;右双支撑阶段向单支撑阶段过渡过程中,躯干角度有下降趋势;右腿蹬冰时重心刚好前移至支点的正上方,即重心与支点相垂直,而左腿则是在重心完全超越支点后一段时间才开始的蹬冰;右刀着冰向支撑脚前方下刀,左刀着冰向内侧前方跨出;动量变异系数小,动量转移效果好,反映了动作结构的合理性和能量利用的充分性;目前世界优秀运动员各环节的动量分配比例较以前均有较大幅度的提高;环节动量变异系数遵循着大环节动量变异系数小、小环节动量变异系数大的原则是较合理的。

The discussion is concentrated on such important aspects of gravity methods as: the processing and inverse methods of gravity data, the theory and application of the isostasy, and the application of the satellitic gravity data for the deep structure interpretation.

对于重力方法的几个重要内容:重力资料的数据处理和反演方法,均衡理论和应用,卫星重力资料在深部构造解释中的应用等几个方面展开了讨论。

This dissertation focuses on the spherical wavelet expansion of the earth gravity field and its application. Based on the concept of the integration approaches and radial basis functions the spherical wavelet is put forward, with that the earth gravity field is described in a new way, and some other researches are conducted, they are: spherical wavelet regularization, multiscale approximation of satellite gravity measurement, down continuation of airborne geavimetry data, the least squares properties of geopotential wavelet approximation, the spherical wavelet solution of two kinds of BVP and spherical selective multiscale reconstruction.

本文围绕地球重力场的球面小波展开及其应用进行研究,在积分逼近与径向基函数概念的基础上引入了球面小波,利用球面小波对重力场展开进行了重新表示,在此基础上进行了球面小波正则化、卫星重力多尺度逼近、航空重力数据向下延拓、重力场球面小波逼近的最小范数性质、两类边值问题的球面小波实用解、球面选择多尺度去噪方法等方面的研究。

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