Approximate analysis for relative motion of satellite formation flying in elliptical orbits

This paper studies the relative motion of satellite formation flying in arbitrary elliptical orbits with no perturbation. The trajectories of the leader and follower satellites are projected onto the celestial sphere. These two projections and celestial equator intersect each other to form a spherical triangle, in which the vertex angles and arc-distances are used to describe the relative motion equations. This method is entitled the reference orbital element approach. Here the dimensionless distance is defined as the ratio of the maximal distance between the leader and follower satellites to the semi-major axis of the leader satellite. In close formations, this dimensionless distance, as well as some vertex angles and arc-distances of this spherical triangle, and the orbital element differences are small quantities. A series of order-of-magnitude analyses about these quantities are conducted. Consequently, the relative motion equations are approximated by expansions truncated to the second order, i.e. square of the dimensionless distance. In order to study the problem of periodicity of relative motion, the semi-major axis of the follower is expanded as Taylor series around that of the leader, by regarding relative position and velocity as small quantities. Using this expansion, it is proved that the periodicity condition derived from Lawden’s equations is equivalent to the condition that the Taylor series of order one is zero. The first-order relative motion equations, simplified from the second-order ones, possess the same forms as the periodic solutions of Lawden’s equations. It is presented that the latter are further first-order approximations to the former; and moreover, compared with the latter more suitable to research spacecraft rendezvous and docking, the former are more suitable to research relative orbit configurations. The first-order relative motion equations are expanded as trigonometric series with eccentric anomaly as the angle variable. Except the terms of order one, the trigonometric series’ amplitudes are geometric series, and corresponding phases are constant both in the radial and in-track directions. When the trajectory of the in-plane relative motion is similar to an ellipse, a method to seek this ellipse is presented. The advantage of this method is shown by an example.     

我国东部邻海恶劣天气的时空分布及其成因初探

本文利用1930～1979年NCDC海洋船舶观测的气象资料,分析了中国东部邻海恶劣天气的时空分布。结果表明,海区恶劣天气的分布在冬季和夏季是不同的;在东北和西南季风期间,台湾东北和西南海区也有差异。影响恶劣天气条件的分布因子非常复杂,主要是季风和极锋、天气系统、冷暖洋流及地形等因子。     

Slow mass movement in the Kangchenjunga area, eastern Nepal Himalaya

Abstract   The rates of the accumulated and continuous displacement of solifluction lobes in the Kangchenjunga area, eastern Nepal Himalaya, were determined using glass fiber tubes and a strain probe. Ground temperature, precipitation and soil moisture were monitored at two sites, whose altitude differed by approximately 100 m, to understand the solifluction process. The average movement rate of the glass fiber tubes on a 31° slope at altitudes of 5412–5414 m a.s.l. was approximately 11 mm/year, being almost threefold greater than that observed on a 22° slope at 5322–5325 ma.s.l. There was no significant difference in the depth of displacement at these sites. The continuous displacement measurement near the ground surface at 5414 m showed permanent downslope movement from early July. Such movement may be attributed to additional moisture supply during the monsoon season. The amplitude of the displacement cycle was highest at the ground surface, and decreased to virtually zero at and below 20 cm in depth. Probable factors leading to the relatively slow rates of downslope displacement at the surface and depth at the studied altitudes are the lack of concurrence of the freeze–thaw cycles and the high moisture condition in the soil, and the low moisture retention capacity of the soil because of steep slopes and superficial desiccation. The rate of displacement may be more pronounced at altitudes above 5600 m because of the freeze–thaw cycles during the summer season.     

不滑移状态下深埋圆形隧道地震响应研究

地下结构的地震响应主要取决于由地震波传播产生的土体变形与土结相互作用。剪切波传播过程中将会引起隧道衬砌的椭圆化变形,进而降低衬砌有效承载力。剪切波作用下的深埋圆形隧道可认为处于均质的纯剪状态,基于相对刚度法的拟静力解析解可充分考虑土结相互作用对隧道结构内力的影响。基于此,本文将通过有限元数值分析获得的自由场地地基变形引入不滑移状态下深埋圆形隧道内力求解公式,并结合二维和三维数值模拟途径,将动力分析结果与解析解结果进行对比分析,以评价各种解析方法的适用性和数值途径的可靠性。     

一次强雨凇造成的供电中断事故天气分析

作者介绍了１９９４年１１月１５日，由邹县电厂至淄博５００ｋＶ超高压输电线路＃４４８ＺＭ塔倒塔事故的情况。并对造成这次倒塔事故的天气条件进行了分析     

Critical conditions for natural gas charging and delineation of effective gas source rocks for tight sandstone reservoirs

Although it has been shown that the potential of tight‐sand gas resources is large, the research into the mechanisms of hydrocarbon charging of tight sandstone reservoirs has been relatively sparse. Researchers have found that there is a force balance during hydrocarbon charging, but discriminant models still have not been established. Based on the force balance conditions observed during gas migration from source rocks to tight sandstone reservoirs, a calculation formula was established. A formula for identifying effective source rocks was developed with the gas expulsion intensity as the discrimination parameter. The critical gas expulsion intensity under conditions of various burial depths, temperatures, and pressures can be obtained using the calculation formula. This method was applied in the Jurassic tight sandstone reservoirs of the eastern Kuqa Depression, Tarim Basin, and it was calculated that the critical expulsion intensity range from 6.05 × 10⁸ m³/km² to 10.07 × 10⁸ m³/km². The critical gas charging force first increases with depth and later decreases with greater depths. The distribution range of effective gas source rocks and total expelled gas volume can be determined based on this threshold. This method provides new insight into and method for predicting favourable tight‐sand gas‐bearing regions and estimating their resource potentials. Copyright © 2014 John Wiley & Sons, Ltd.     

狭缝系统与伊利石结晶度Kuebler指数的测定及相关问题讨论

根据实验结果,衍射峰半高宽随接收狭缝增大而呈二次工线线性增大。扫描速度与扫描步长的确定应遵守Ｗａｎｇ（１９９４）提出的关系式,并确定在相对误差小于〈５％的范围内。固定样品条件,选定最优实验条件下使用国际标样标定系统偏差是伊利石结晶测量中必不可少的重要步骤。不固定样品条件和实验条件,同一样品的伊利石工值将因条件的变化而不同;固定样品和实验条件而不使用国际标样标定系统偏差,则无法与他人数据进行对比,其     

不排水不可压缩条件下两相介质的两重网格算法

对于不排水、不可压缩饱和软土地基的固结问题的有限元分析,可以用Biot固结方程来考虑土体颗粒与孔隙水间的相互作用。由于受Babuska-Brezzi稳定条件的限制,用常规的等插值u-p混合有限元法求解将导致孔隙压力出现紊乱的结果。提出了基于位移和压力线性等插值函数的两重网格,但位移独立变量总数大于独立压力变量总数的计算方法,可以满足Babuska-Brezzi稳定条件,使得位移场和压力场单元插值阶数保持一致。通过几个简单算例验证了提出方法的正确性。     

单轴压缩岩样轴向回跳及侧向回跳理论研究

研究了单轴压缩条件下轴向回跳及侧向回跳之间的关系。在应变软化阶段,试样的弹性轴向应变及弹性侧向轴向应变由虎克定律确定;试样的轴向塑性应变及侧向塑性轴向应变由梯度塑性理论确定,它们与应力水平、剪切带倾角及宽度、软化模量及试样的尺寸有关。根据轴向应力-应变曲线及侧向应力-应变曲线软化段斜率的正负,得到了轴向回跳及侧向回跳的条件。轴向回跳的原因是轴向弹性应变的恢复快于轴向塑性应变的增加。侧向回跳的原因是侧向弹性应变的恢复快于侧向塑性应变的增加。当剪切带倾角的正切小于泊松比与试样宽高比之积时,若侧向变形发生回跳,则轴向变形就发生回跳;反之,若轴向变形发生回跳,则侧向变形就发生回跳。对于常规岩样,若侧向发生回跳,则轴向必定是回跳的。在应变软化阶段,根据轴向应变及侧向应变是否发生回跳,轴向应变与侧向应变曲线被划分为4种类型：即轴向回跳及侧向回跳情形、轴向回跳及侧向回跳情形、轴向不回跳及侧向回跳情形及轴向回跳及侧向不回跳情形,并得到了各种类型的条件。     

CX盆地露头岩样电阻率测试与分析

本次实验的主要目的是对ＣＸ地区露头完好的岩样进行电阻率测试,提出了一种利用露头岩样电阻率绘制模拟地层条件下仿真电阻率测井曲线的新方法。该方法的主要思路是：（１）在ＣＸ地区选取一条露头出露较完好的地质剖面,在野外进行详细的岩性、地层产状和厚度描述,并采集露头岩石标本。（２）对所取岩样进行常温常压下的密度、孔隙度和电阻率测试,并选部分代表一定岩性的岩样进行模拟地层环境（压力、饱和度、孔隙度）下的电阻率