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1.
2.
A. S. Baranov 《Celestial Mechanics and Dynamical Astronomy》2003,87(3):241-256
For the complete system of biharmonic functions a suitable representation in spheroidal coordinates is found. It is used for expanding the distance between two arbitrary gravitating points and its inverse quantity in appropriate series. Such expansions can be of interest and useful in a number of problems of celestial mechanics and stellar dynamics. 相似文献
3.
This paper presents a numerical model study of the propagation of water waves using the parabolic approximation of the mild-slope equation in the orthogonal coordinate system. Two types of coordinate systems are studied: (a) a general form of orthogonal coordinate system and (b) the conformal system, a special form of orthogonal coordinate system. Two typical examples, namely, expanded breakwaters and a circular channel, are studied to validate the model. First, the examples are studied by use of the general orthogonal coordinates. Then the same examples are computed by use of the confonnal system. The computational results show that the confonnal coordinate system generally gives better predictions than the general orthogonal system. A numerical technique for generating the conformal grid is combined with the numerical model to improve the practicability of the model. The comparison between the result from the numerical grid system and that from the analytical grid system shows that reliable computational results can be obtained by use of the numerical confonnal grid system. 相似文献
4.
Hideo Kawai 《Journal of Oceanography》2005,61(2):235-246
At present, the barotropic buoyant stability parameter has been derived from a vertical virtual displacement of a water parcel. The barotropic inertial stability parameter in the eccentrically cyclogeostrophic, basic current field was derived in 2003 from a horizontal cross-stream virtual displacement of a parcel. By expressing acceleration of a parcel due to a virtual displacement, which is arbitrarily sloping within a vertical section across the basic current, in terms of natural coordinates, we derived the vertical component of baroclinic buoyant stability parameter B
2
2, the horizontal component of baroclinic inertial stability parameter I
2
2, the baroclinic joint stability parameter J
2, its buoyant component B
2 and its inertial component I
2. B
2 is far greater than I
2
2, and when neglecting relative vorticity except for vertical shear, a downward convex curve of J
2 plotted against the slope of a virtual displacement follows a trend of B
2 curve. If a parcel displaces along a horizontal surface or an isopycnal surface, however, B
2 vanishes, and J
2 becomes equal to I
2. Actual parcel is apt to displace not only along the bottom slope, but also along the sea surface and an isopycnal interfacial surface, which is approximately equivalent to an isentropic surface, preferred by lateral mixing and exchange of momentum. Such actual displacement makes B
2 vanishing, and grants I
2 an important role. The present analysis of I
2 examining effects due to curvature and horizontal and vertical shear vorticities are useful in deepening our understanding of baroclinic instability in actual oceanic streams. 相似文献
5.
6.
GPS和GLONASS卫星定位系统分别采用WGS-84和PZ-90坐标系。为统一两种卫星定位成果,欧、美、俄于20世纪90年代各自求出两坐标系之间的转换参数。目前三种参数尚未统一,对GPS/GLONASS联合定位造成较大影响。本文针对国外介绍PZ-90和WGS-84坐标系相互转换时常用的转换模型及三种不同转换参数进行比较分析。分别选用地面GPS参考站坐标和GLONASS卫星轨道坐标,用三种坐标转换参数进行转换,对转换结果差异及其对单点定位和相对定位精度造成的影响进行全面分析比较,得出一些有益结论。 相似文献
7.
8.
Francesco Fassò 《Celestial Mechanics and Dynamical Astronomy》1995,62(1):43-69
This paper deals with Hamiltonian perturbation theory for systems which, like Euler-Poinsot (the rigid body with a fixed point and no torques), are degenerate and do not possess a global system of action-angle coordinates. It turns out that the usual methods of perturbation theory, which are essentially local being based on the construction of normal forms within the domain of a local coordinate system, are not immediately usable to study perturbations of these systems, since degeneracy makes impossible to control that the system does not fall into a singularity of the coordinates. To overcome this difficulty, we develop a global formulation of Hamiltonian perturbation theory, in which the normal forms are globally defined on the phase space manifold. The key for this study lies in the geometry of the fibration by the invariant tori of an integrable degenerate Hamiltonian system, which is described by some generalizations of the Liouville-Arnol'd theorem and is reviewed in the paper. As an application, we provide a global formulation of Nekhoroshev's theorem on the stability for exponentially long times. 相似文献
9.
地震与地壳形变有着密切的关系 ,但台站地倾斜资料空间连续性不好 .为此在场分析的基础上 ,利用逐步订正法将地倾斜观测资料内插到 1°× 1°的经纬度网格点 ,引入曲面总曲率的概念计算格点上的Gauss曲率 ,并推广到格点化的有限区域上得到表征曲面形态和变形强度的地表形变场 .结果表明 :该方法可以合理地弥补资料不连续的缺陷 ,并在地表形变场上捕捉到一些关键的地表形变特征 ,如地凸区、地凹区、鞍形场等 .为地震分析和预报中如何拓展和利用大范围时空信息提供了一种有益的思路 . 相似文献
10.
The contravariant components of the wave-propagation metric tensor equal half the second-order partial derivatives of the selected eigenvalue of the Christoffel matrix with respect to the slowness-vector components. The relations of the wave-propagation metric tensor to the curvature matrix and Gaussian curvature of the slowness surface and to the curvature matrix and Gaussian curvature of the ray-velocity surface are demonstrated with the help of ray-centred coordinates. 相似文献