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The scalar equations of infinitesimal elastic gravitational motion for a rotating, slightly elliptical Earth are always used
to study the Earth's nutation and tides theoretically, while the determination of the integration of the equations depends,
to a certain extent, on the choice of a set of appropriate boundary conditions. In this paper, a continuity quantity related
to the displacement is first transformed from the elliptical reference boundary to the corresponding effective spherical domain,
and then converted from a vector (or tensor) form to a scalar form by generalized surface spherical harmonics expansion. All
the related components, including the displacement vector field (or the stress tensor field), are then decomposed into the
poloidal and toroidal field using the symmetry restrictions on the normal mode eigenfunctions. After truncation, the boundary
conditions are finally derived, in a scalar ordinary differential form. The process of the derivation is second order in ellipticity
and in full detail. Moreover, the other boundary conditions are also presented as second order in ellipticity at the end of
this paper.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
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In order to explore how to extract more transport information from current fluctuation, a theoretical extraction scheme is presented in a single barrier structure based on exclusion models, which include counter-flows model and tunnel model. The first four cumulants of these two exclusion models are computed in a single barrier structure, and their characteristics are obtained. A scheme with the help of the first three cumulants is devised to check a transport process to follow the counter-flows model, the tunnel model or neither of them. Time series generated by Monte Carlo techniques is adopted to validate the abstraction procedure, and the result is reasonable. 相似文献
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A so-called megaregolith layer that is considered to be produced by continuous impacts in Mercury's early stages is integrated into the thermal evolution models... 相似文献
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Soil–water characteristic curves (SWCCs) and soil permeability functions (SPFs) for a silty sand were validated based on soil suction and soil water content measurements in calibration box and constant-head seepage tests. Transient seepage analyses using finite element method (FEM) were performed to examine the accuracy of the derived SWCCs and SPFs, with a special focus on the wetting front propagation. Results show that the proposed new integrated system consisting of experimental and analytical techniques works well, in the sense that the soil moisture responses at specific depths of soil mimic those measured in constant-head seepage tests. 相似文献
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利用GPS信标测量获得的电离层电子浓度总含量(TEC)是沿电波路径的斜向TEC.理论研究和实际应用中,常常需要通过映射函数将斜向TEC转换为垂直方向的TEC,这在当前主要采用对电子浓度分布模型的数值积分得到模型映射函数来实现.本文在考察现有不同模型映射函数的基础上,又提出了一种源于实际观测的实验映射函数的概念与估算方法.我们利用IGS的全球GPS观测站的斜向TEC和JPL提供的垂直TEC数据获得了2006年期间的实验映射函数,并对所得结果进行了初步统计分析.在卫星天顶角较小时,上述实验映射函数和模型映射函数之间相差甚微,均可很好描述垂直TEC与斜TEC之间关系;但卫星天顶角较大时,实验映射函数和常用的模型映射函数之间存在明显差异.本文认为,这种差异主要是因为现有模型映射函数中没有考虑到等离子体层的贡献.我们认为采用基于实验映射函数的模式,或者通过考虑等离子体层的贡献对现有模型映射函数进行改进,可以有效提高电离层TEC的估算精度. 相似文献