矩阵极坐标的应用

该文应用矩阵极坐标方法,对文献[1]中出现的几个重要定积分作了重新处理,并运用古典的Andreief-Stieltjes公式,将其复杂的多维定积分化为简单的行列式计算。所得结果,结构简单,计算方便。     

再论从物理角度分析跳远成绩

建立2个坐标系，从力学原理分析起跳时的角度、初速度与跳远成绩的关系，同时与郑亚晨的文章的理论分析进行商榷。     

弹性梁大挠度问题的纵横弯曲法

将纵横弯曲的梁柱在原基准坐标系中的大变形问题转换到某一局部坐标系中，近似以小变形问题处理，建立起一组“三弯矩方程”组，使问题求解。通过算例，验证了本方法的正确性。     

A theoretical model for mid-and low-latitude ionospheric electric fields in realistic geomagnetic fields

The geomagnetic fields, which play important roles in the ionospheric dynamo, can greatly affect the global distribution of ionospheric electric fields, currents and other ionospheric electrodynamics phenomena. In the study of ionospheric electrodynamics phenomena, such as the longitudinal variations of ionospheric electric fields, the non-dipolar component of the geomagnetic fields must be taken into account. In this paper, we deduce a theoretical electric field model for ionospheric dynamo at mid- and low-latitude which adopt a modified magnetic apex coordinates system. In the new electric field model, the geomagnetic fields can be calculated from either the IGRF model or the dipole field model, and the neutral winds and conductivities are calculated based on empirical models. Then the dynamo equation for the electric potential is finally solved in terms of the line-by-line iteration method, and the ionospheric electric fields and currents are derived from the calculated potential. Our model can reproduce the main features of the ionospheric electrodynamics processes, so it will be a useful tool for the investigation of the upper atmosphere and ionosphere.     

关于人造天体运动轨迹确定的一种方法

作者在该文中,从万有引力定律出发,根据有心力的特点,再采用切坐标法很方便地推导出在地球万有引力作用下,人天体运动的轨道必是圆锥曲线,并指出由发射时初始条件能方便地进一步确定其轨迹的形状。     

泛光照明效果的计算机模拟

从实际灯具的配光曲线及被照面材料的反射特性入手,运用光度学和色度学的计算方法,详细介绍了泛光照明效果的计算机模拟程序的设计思想和分析方法,按照这一思想设计的软件在泛光照明设计中将十分有用。     

捷联寻的制导弹药的新型卡尔曼滤波器设计

针对捷联制导系统的自身特点,设计出用于估计导弹和目标在弹体坐标系中相对运动状态的卡尔曼滤波器,使滤波与制导在同一个坐标系即弹体坐标系内进行,避免了信息在弹体坐标系和惯性坐标系之间的多次转换,从而减少了信息损失.仿真结果表明,该方法能够满足捷联制导系统的要求.     

Combined adjustment project of national astronomical geodetic networks and 2000'' national GPS control network

The combined adjustment project of the nationwide astronomical geodetic networks and 2000' national GPS control network involve 48519 terrestrial observational stations and 2666 GPS observational stations. In the terrestrial network, 25107 stations are height fixed and 23412 stations are in three dimensions. 440793 terrestrial observations and 183668 unknowns are involved in the adjustment. The three-dimensional observational models for the adjustment have been established. The crustal deformation influences and corrections are researched. Fast methods of solving partitioned adjustment for super large-scale geodetic network have been studied. The standard deviations of three-dimensional coordinates for all stations are evaluated. As a result of the combined adjustment, a unified national geodetic network with nearly 50000 stations is established, the high accurate three-dimensional geocentric coordinates are obtained. The standard deviation for geoid is averagely 0.2 m, for vertical deflection is about 1.5″, for the horizontal position is about 0.12 m, for the geodetic height is about 0.14 m, and for the three-dimensional position is averagely 0.3 m.     

Dynamical framework with blocking topography coordinates for atmospheric GCM and its validation

The dynamical framework with Blocking Topography Coordinates (hereafter, BTC), which is suited to handle the steep topography for the atmospheric general circulation models, is presented in this paper, together with its validation results. The integral properties of both the differential and finite-difference equations for the BTC dynamical core are: gross mass conservation, quadratic conservation for advection terms, Coriolis force does not change the kinetic energy, conservation of total available energy. The improved nonlinear iteration scheme is utilized for the time-integration. The energy conservation for BTC dynamical core is validated by using the integration results from 9-layer and 21-layer version respectively. Comparison results show that, the changes of the kinetic energy and total available potential energy during the integration are quite close for both the BTC dynamical framework and the dynamical framework of IAP 9-level and IAP 21-level AGCM, and this may suggest that the BTC dynamical core can be used for long-term integration with good computational stability. Furthermore, the BTC dynamical core has the advantage over the terrain following (sigma) coordinates in its better representation of the influence of the large-scale topography on the atmospheric general circulation. Finally, the correctness and reasonableness of the BTC dynamical core has been further proved by the numerical simulation of the topography influence on the quasi-stationary planetary wave with 21-layer version of BTC dynamical framework.     

振动方程耦合类型的注记

采用动静法建立振动系统动力学方程，通过具体例子的讨论和一般情形的分析，论证了振动方程的耦合类型与系统广义坐标选取无关.