轨道计算

The formation situation of the band for transition metallic carbonyl cluster compounds is analysed with the bond valence formula for atomic cluster compounds.

本文运用原子簇化合物键价计算公式，对过渡金属羰基簇合物成键情况进行了分析，利用金属键轨道数，价非键轨道数和金属配体成键轨道数计算簇合物价轨道总数。

This paper,by means of the unified model of vehicle-track systems,performs a simulating calculation of the railway track and vehicle,caused by track stiffness change.On the basis of simulation calculation,this paper tries to analyze the influence of track stiffness change on axle box acceleration with wavelet and power spectrum density.

据此运用车辆-轨道垂向系统统一模型对不同轨道刚度情况下引起的车辆和轨道响应进行了仿真计算，并对计算结果进行小波分析和功率谱处理，主要分析了钢轨、轨下垫层、道床刚度的变化对客车轴箱加速度的影响，同时对用客车轴箱加速度的变化反推道床的刚度状态进行了探索。

Concretely speaking, using the irreducible tensor theory, we deuced the formulism for fine-structure energies of boron-like atoms in the ground and first excited states, which involves spin-orbit, spin-spin and spin-other-orbit interactions; completing all the angular integrations and spin summations needed, we make the final expression for fine-structure energies of boron-like atoms in the ground and first excited states in a combination of radial integrations. Afterwards, employing the wave functions we got in Chapter Three, we accomplished all the radial integrations and so obtained the fine-structure energies.

具体地说，利用不可约张量理论导出了类硼离子基态以及第一激发态的精细结构的表达式，给出了自旋-轨道、自旋-自旋、自旋-其它轨道相互作用等所涉及的所有角向积分和自旋求和的解析计算方法，完成了角向积分、自旋求和的计算，使类硼离子基态以及第一激发态精细结构能级最终可以表示为径向积分之和；在此基础上利用以前所得到的非相对论性波函数，进一步完成了所有径向积分的计算，从而得到了对应能级的精细结构的理论计算值。

Firstly, This paper processes geometry filtration based on character of orbit's apogee and perigee after orbit model is analyzed and based. Secondly Space Debris is separated into two kinds, coplanar and not coplanar according as location interrelation of target and debris. In Dynamic filtration's processing, considering prediction time limit and orbit perturbation, secular effects which have increaser effect is considered so that some need catching danger time point is appeased, some law about time when target and debris pass intersectant line each other is inferred, when debris and object are in different plane and some similar law also is inferred otherwise. The time list is arithmetical progression. These laws can improve calculation efficiency remarkably; Lastly orbit predict is a course approaching least distance. Danger time point in the last step become beginning time point from which debris and object's position and velocity are calculated by SXP4 Model which is an analytic model.By result, determine that relative movement trend is closer or apart, farther calculate the interval apart from time when predictive least relative distance occurs. Least relative distance and time when least distance occurs is calculated finally. It is a fast approach course adopting varied interval.

本文在分析、建立轨道摄动计算模型的基础上，首先采用基于轨道远、近地点特征对大量编目在册的空间碎片进行初步几何静态筛选，然后根据碎片与目标轨道面的相对位置特点把碎片分为异面与准共面两种情况以进行动态筛选，在筛选过程中考虑到预报时限长度和轨道摄动影响，引入了轨道摄动中具有积累效应的长期项以满足危险时间点的捕捉要求，利用了长期项摄动变化线性的特点导出了碎片与目标异面情况下各自过交线的时间序列成准等差数列的规律性和准共面情况下类似的规律性，从而显著地提高了前期轨道筛选的计算效率；最后对剩余危险碎片和目标飞行器利用SXP4轨道预报模型在前期轨道筛选的基础上以各个危险探测时间点为预报的时间起点，并根据预报计算结果，分析目标和碎片在该时间点的运动趋势是相互远离还是相互接近，推出预计最小相对距离发生时刻相对此刻的时间长度，得到其随时间变化的局部最小相对距离以及危险距离发生的时刻和相对速度，这是一个采用变时间步长、快速逼近最小相对距离的过程。

Afterwards, using the spherical tensor form of many-electron atom Hamilton and the irreducible tensor theory, the relativistic and fine-structure energy correction to the non-relativistic energy of Boron-like atoms in the ground and the first excited states have been further investigated. A theoretically analytic way has been given as to the calculation of all the radial integrations and spin summations, which concern interactions such as orbit-orbit, spin-orbit, spin-spin and spin-other-orbit. Therefore, the whole process of calculating the many- electron atom energy structures has been explicitly revealed and the results are relatively precise and satisfactory.

在此基础上，利用多电子原子哈密顿算符的球张量形式和不可约张量理论，进一步研究了类硼离子基态和第一激发态非相对论能级的相对论修正和精细结构，给出了轨道-轨道、自旋-轨道、自旋-自旋、自旋-其它轨道等相互作用所涉及的所有角向积分和自旋求和的解析计算方法，清晰地展示了多电子原子结构计算的过程，得到了较为精确的理论计算结果。

According to by the time series estimate power spectral density\'s periodogram law principle,the research adopts five level of orbital power spectra which US Federal railway Administrative bureau FRA proposed;then,through the Fourier inverse transformation,the orbital not smooth time domain samples are obtained, which determine the track irregularity peak-to-peak value and the corresponding wave length; on the basis of the research,the influence of the wheel track dynamic contact force are considered.Based on the orbital roadbed coefficient\'s definition,computation model is established to solve the roadbed equispaced spring constant,and the roadbed uniform spring stiffness is obtained by using the numerical simulation method.Finally,based on the Matlab procedure platform,the computational procedure is established,and the load time interval caused by the moving train acts on the roadbed is obtained.

根据由时间序列估计功率谱密度的周期图法原理，采用美国联邦铁路管理局FRA提出的五级轨道功率谱，通过Fourier逆变换得到轨道不平顺的时域样本，确定了轨道不平顺的幅值及对应的波长，以此为基础考虑轮轨动态接触力的影响；基于轨道路基系数的定义建立了求解路基均布弹簧刚度的计算模型，采用数值模拟得到了路基均布弹簧刚度；最后，基于Matlab程序平台编制了计算程序，得到了运行列车作用到路基上的荷载时程。

A new mathematical model is put forward numerically to simulate the wheel ovalization.. In the numerical simulation, the dynamic model of a half railway vehicle coupled with a tangent track is employed. Using the new numerical method investigates vehicle-track coupling system dynamic responses including lateral and vertical displacement of wheelsets and the vehicle, lateral and vertical vibration acceleration of the track at different phase angle of the two side wheels of the same wheelset, which are compared with that of the traditional model. The numerical results show that the discipline and frequency of dynamic responses are accordant, amplitude and phase of lateral dynamic responses are different. It is concluded the traditional track geometric irregularity excitation model does not simulate the effect of periodic wheels ovalization on vehicle-track coupling system dynamic behavior truly, the new model is more accurate and reasonable.

本文研究了车轮二阶周期性非圆化—椭圆化，建立了一个新的模拟车轮椭圆化的数学模型，结合车辆－轨道空间耦合动力学模型，计算了同一轮对左右车轮不同相位和车轮椭圆度下轮对和车体的横、垂向位移，钢轨横、垂向振动加速度，并与传统模型计算结果作了对比，分析表明两种模型的动力响应变化规律和频率一致，但横向动力响应幅值和相位均存在不同程度不可忽略的差异，因此传统的轨道几何不平顺激励模型不能真实模拟车轮的周期性椭圆化对车辆－轨道耦合动态行为的影响，而本文模型更能反映实际椭圆车轮与钢轨接触情形，计算方法准确而合理。

This paper investigates the basic principle of land and real property appreciation along the line produced by urban rail transit, analyzes the action process of urban rail transit development benefit, and demonstrates the basic characteristics of vested benefit of urban rail transit by using overseas related research results for reference. On the basis, the influence circle of urban rail transit development benefit is studied, the primary model is created according to the consistence principle of trip access, and the development benefit influence circle of each station on Line 1 is caculated for trial. At the same time the development benefit influence circle of the Xin-Zhuang Station on Line 1 is analyzed according to the research data, which verifies the model results. In addition, further research problems are put forward.

本文从城市轨道交通引起轨道交通线路沿线区域内的土地和不动产增值的基本原理入手，分析城市轨道交通利益发生、扩散和转移的作用过程，借鉴国外学者的相关研究成果，阐明了城市轨道交通利益最终归属的基本特征；在此基础上，重点对城市轨道交通开发利益的影响范围进行研究，根据出行可达性一致的原则建立了城市轨道交通开发利益影响范围的初步计算模型，针对上海轨道交通1号线各车站的开发利益影响范围进行了试算；同时，根据实际调查数据对上海轨道交通1号线莘庄站的开发利益影响范围进行了对比分析，验证了模型计算结果；此外还提出了有待进一步深化研究的问题。

Once the table is defined, the height of the track points defined on the map are computed by an interpolation of the height table also called the track profile.

一旦表定义，在地图上确定的轨道计算点的高度是由一个高度表也被称为轨面插值。

A method to calculating maneuver for special point maneuver strategy is developed based on the facts that are single objective of every maneuver and tiny correction for orbit inclination and right ascension of ascending node. The basic idea of the method is disassembling calculating for phasing and orbit plane correction, and the equation for calculating maneuver is derived.(2) A method for determining the optimal collision avoidance maneuver is developed, and the two phasing orbits strategy is developed to avoid collision with debris.

1研究了远距离导引的特殊点变轨策略，针对特殊点变轨策略每次机动目标单一和轨道面修正为小量的特点，提出了将轨道面内调相与轨道面修正分解计算的策略，推导了采用高精度轨道模型的调相和轨道面修正机动计算公式；(2)研究了远距离导引段飞行器规避空间碎片的机动问题，提出了一种双调相轨道机动策略，并给出了碰撞规避机动的计算公式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。