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31.
鉴于当前国际上关于自转微椭、非均匀地球（ＳＲＥＨＩ）的固体潮汐响应的结果之间存在明显分歧，特别是Ｌｏｖｅ数ｋ及重力潮汐因子δ对纬度的依赖情况截然不同，本文借助于摄动法与张量正则分量的广义球谐展开建立起来的侧向非均匀、自转微椭、粘弹地球的潮汐模拟理论，计算了ＳＲＥＨＩ地球的潮汐形变及相应的引力位变化．结果表明，描述径向位移的Ｌｏｖｅ数的纬度依赖部分系数ｈ＿＋与球对称部分ｈ＿０＋δｈ＿０之比不大于１．０‰；对Ｏ＿１波为０．２７‰；对Ｍ＿２波为０．１９‰；对Ｍ＿３波为０．４９‰；对Ｍ＿４波为０．８８‰．描述地球引力位变化的Ｌｏｖｅ数的纬度依赖部分系数ｋ＿＋与球对称部分ｋ＿０＋δｋ＿０之比小于３．０‰；对Ｏ＿１波为２．６７‰；对Ｍ＿２波为１．８９‰；对Ｍ＿３波为２．２４‰；对Ｍ＿４波为２．７０‰． 相似文献
32.
地磁场模型和冠谐分析 总被引：4，自引：2，他引：4
地磁场是由内源场(地核场和地壳场)和外源场(电离层场和磁层场)组成的,地磁场模型是表示地磁场时空分布的数学表达式.本文简述了地磁场全球模型和区域模型的计算方法和应用;评述了冠谐分析方法及其在地磁学中的应用;介绍了地磁场模型误差的主要来源. 相似文献
33.
Spectral analysis of the full gravity tensor 总被引：9，自引：0，他引：9
34.
A fast algorithm is proposed to integrate the trajectory of a low obiter perturbed by the earth's non-sphericity. The algorithm
uses a separation degree to define the low-degree and the high-degree acceleration components, the former computed rigorously,
and the latter interpolated from gridded accelerations. An FFT method is used to grid the accelerations. An optimal grid type
for the algorithm depends on the trajectory's permissible error, speed, and memory capacity. Using the non-spherical accelerations
computed from EGM96 to harmonic degree 360, orbit integrations were performed for a low orbiter at an altitude of 170 km.
For a separation degree of 50, the new algorithm, together with the predict-pseudo correct method, speeds up the integration
by 145 times compared to the conventional algorithm while keeping the errors in position and velocity below 10−4 m and 10−7 m/s for a 3-day arc.
Received: 28 July 1997 / Accepted: 1 April 1998 相似文献
35.
36.
Solutions for chaotic dynamos driven by thermal convection in a rotating spherical shell are obtained numerically for different Prandtl numbers. The influence of this parameter which is usually suppressed in the magnetostrophic approximation is emphasized in the present analysis. 相似文献
37.
J. F. Palacián 《Celestial Mechanics and Dynamical Astronomy》2007,98(4):219-249
We study the dynamics of a satellite (artificial or natural) orbiting an Earth-like planet at low altitude from an analytical
point of view. The perturbation considered takes into account the gravity attraction of the planet and in particular it is
caused by its inhomogeneous potential. We begin by truncating the equations of motion at second order, that is, incorporating
the zonal and the tesseral harmonics up to order two. The system is formulated as an autonomous Hamiltonian and has three
degrees of freedom. After three successive Lie transformations, the system is normalised with respect to two angular co-ordinates
up to order five in a suitable small parameter given by the quotient between the angular velocity of the planet and the mean
motion of the satellite. Our treatment is free of power expansions of the eccentricity and of truncated Fourier series in
the anomalies. Once these transformations are performed, the truncated Hamiltonian defines a system of one degree of freedom
which is rewritten as a function of two variables which generate a phase space which takes into account all of the symmetries
of the problem. Next an analysis of the system is achieved obtaining up to six relative equilibria and three types of bifurcations.
The connection with the original system is established concluding the existence of various families of invariant 3-tori of
it, as well as quasiperiodic and periodic trajectories. This is achieved by using KAM theory techniques. 相似文献
38.
为了获取LAMOST焦面板上光纤的零位位置,提出了一种基于分离式标准靶标的高精度摄影测量方法。首先,根据Tsai摄像机标定参数模型介绍了CCD相机的标定原理。然后介绍了用光重心算法求取靶标发光点像面坐标及通过球面三角公式计算靶标发光点物面坐标。接着,利用最小二乘法导出了含标定参数的方程组。最后,介绍了标准靶标的放置方法以及提高光纤位置测量精度的靶标取法。实验结果表明:CCD相机的标定残差平均值为8.8μm;标定残差的标准差为5.3μm。测量方法简单易行,通过仔细分析,找出了残差偏大的原因,对后续进一步测量实验有重要指导意义。 相似文献
39.
长江不仅具有长度这一非空间属性,还具有重心、方位、密度以及形状等多种空间分布属性。为了对长江的空间分布特征进行统计分析,提出了一种基于球面坐标的空间分布统计方法。采用空间随机抽样的方法,通过对组成长江水系的2种有限线段(即原始数据线段和等长切分线段)进行了不放回空间随机抽样,估计了长江球面重心位置的不确定性。为了解长江水系空间数据固有的多尺度特性,还研究了长江水系不同分辨率的空间切分(1 000 m、100 m、10 m)条件下的球面重心的规律。长江球面重心的计算方法不仅适用于球面线状物体球面重心的计算,也适用于球面面状物体重心的计算。研究长江水系的空间分布特征可以增加人们对长江水系的认知,为研究长江流域的经济、政治等相关的研究提供重要的地理参考信息或背景信息。 相似文献
40.
The thermo-hydro-elastodynamic model (THED), in which the thermo-osmosis and thermal-filtration phenomenon in a two-phase porous thermoelastic medium can be considered, was previously presented by the authors [Ganbin Liu, Kanghe Xie, Rongyue Zheng. Model of nonlinear coupled thermo-hydro-elastodynamics response for a saturated poroelastic medium. Sci China (Ser E) 2009;52(8):2373–83] and is used in this paper to investigate the thermo-elastodynamic response of a spherical cavity in a saturated poroelastic medium when subjected to a time-dependent non-torsional thermal/mechanical source. The Separated Variable Method is introduced, and the non-zero displacement potentials are expanded in terms of the Legendre polynomial. Solutions for the displacement, temperature increment, pore pressure and stress are obtained in the domain of the Laplace transform. Numerical results are also performed for different modes and are compared with the results of the thermoelastic model (TED) to ascertain the validity and the difference between these two models. 相似文献