Fractal Dimensions as Chaos Indicators

The correlation dimension D ₂ is used to develop a method of classification for phase space orbits. D ₂ depends only on the mutual distances of the orbits points, therefore the time development of the orbit is reflected in the time development of the correlation dimension approximants. It is shown, that this technique allows to investigate the dynamical properties of a phase space orbit, a classification of chaotic and regular orbits and a detection of sticky orbits.     

高阶引力理论及其在星系旋转 曲线中应用的可能性

介绍了建立高阶引力理论（该理论用以修正爱因斯坦广义相对论）的物理背景,并讨论了暗物质问题。对几种主要高阶引力理论及其解作了评述,并尝试在不必假定暗物质存在的情况下,用高阶引力理论解决有关星系旋转曲线的困难。但令人遗憾的是,至今还没有一个理论取得完全的成功。指出了解决这一问题面临的困难,并建议寻找新的高阶引力理论。     

卫星跟踪卫星模式中轨道参数需求分析

首次基于半解析法利用GRACE(Gravity Recovery and Climate Experiment)双星K波段星间速度误差、GPS接收机轨道误差和加速度计非保守力误差影响累计大地水准面精度的联合模型开展了卫星跟踪卫星模式中轨道参数的需求分析.建议我国将来首颗重力卫星的平均轨道高度设计为400 km和平均星间距离设计为220 km较优.此研究不仅为我国将来卫星重力测量计划中轨道参数的优化选取以及全球重力场精度的有效和快速估计提供了理论基础和计算保证,同时对将来国际GRACE Follow-On地球重力测量计划和GRAIL(Gravity Recovery and Interior Laboratory)月球重力探测计划的发展方向具有一定的指导意义.     

一种基于相位的相对延迟变化测量方法

详细地介绍了VLBI系统的地面单元中电缆延迟变化的测量方法，这种基于相位的测量方法，为相关领域的高精度延迟测量提供了借鉴。概要介绍了地面单元中电缆测量、反射调制以及相位比较器的工作原理，对各个环节作了数学上的推导分析。给出了一个电缆相对延迟值随温度变化的测试样本。     

Gravitational wave radiation from the coalescence of white dwarfs

We compute the emission of gravitational radiation from the merging of a close white dwarf binary system. This is done for a wide range of masses and compositions of the white dwarfs, ranging from mergers involving two He white dwarfs, through mergers in which two CO white dwarfs coalesce, to mergers in which a massive ONe white dwarf is involved. In doing so we follow the evolution of the binary system using a smoothed particle hydrodynamics code. Even though the coalescence process of the white dwarfs involves considerable masses, moving at relatively high velocities with a high degree of asymmetry we find that the signature of the merger is not very strong. In fact, the most prominent feature of the coalescence is that in a relatively small time-scale (of the order of the period of the last stable orbit, typically a few minutes) the sources stop emitting gravitational waves. We also discuss the possible implications of our calculations for the detection of the coalescence within the framework of future space-borne interferometers like LISA.     

The Effect of Central Baryonic Cores in Dark Halos on the Evaluation of Strong Lensing Probabilities

We present an estimate of the strong lensing probability by dark halos, with emphasis on the role of the baryonic matter arising purely from radiative cooling. We treat the contribution of the cooled baryons optimistically with all the cooled baryons confined within a central core, and including no feedback process from stellar evolution. Our two-component model provides a strong lensing probability that is in good agreement with the observed distribution of multiple images of quasars, provided that the cooled baryons are deposited within a spherical region of radius of 0.1 times the virial radius and follow an isothermal profile. It is pointed out that strong lensing may be used as an additional probe‘of baryon physics in dark halos though this may meanwhile complicate the test of the inner density profiles of dark matter in halos using the observed strong lensing probability.     

Lensing, reddening and extinction effects of Mg ii absorbers from z= 0.4 to 2

Using a sample of almost 7000 strong Mg  ii absorbers with   W ₀ > 1 Å  and  0.4 < z < 2.2  detected in the SDSS DR4 data set, we investigate the gravitational lensing and dust extinction effects they induce on background quasars. After carefully quantifying several selection biases, we isolate the reddening effects as a function of redshift and absorber rest equivalent width, W ₀. We find the amount of dust to increase with cosmic time as  τ( z ) ∝ (1 + z )^−1.1±0.4  , following the evolution of cosmic star density or integrated star formation rate. We measure the reddening effects over a factor of 30 in E ( B − V ) and we find that  τ∝ ( W ₀)^1.9±0.1  , providing us with an important scaling for theoretical modelling of metal absorbers. We also measure the dust-to-metal ratio and find it similar to that of the Milky Way. In contrast to previous studies, we do not detect any gravitational magnification by Mg  ii systems. We measure the upper limit  μ < 1.10  and discuss the origin of the discrepancy. Finally, we estimate the fraction of absorbers missed due to extinction effects and show that it rises from 1 to 50 per cent in the range  1 < W ₀ < 6 Å  . We parametrize this effect and provide a correction for recovering the intrinsic  ∂ N /∂ W ₀  distribution.     

北斗新一代试验星观测数据质量分析

5颗北斗新一代试验星搭载了包括B1C、B2a和B2b的诸多新体制民用信号,并且为了与北斗区域系统平稳过渡而搭载了B1I和B3I两个旧体制信号。采集了来自国内的6个监测站7 d的试验星观测数据,针对信号载噪比和码伪距多路径偏差分析了新一代试验星观测数据质量。结果表明,新一代试验星信号的各项指标整体较北斗区域系统卫星更好。前者载噪比较高,虽然仍发现了部分测站数据微小的多路径波动,但通过实时相位平滑伪距的方法可以很好地消除之;新一代试验星上B3I与B1I频点的载噪比最大,B2a和B2b次之,B1C的载噪比最小,且不同测站的观测结果存在明显差异;新一代试验星各频点的MP基本相同,但B2a、B2b和B3I频点MP的RMS明显小于B1I和B1C频点的结果。     

一种新的本构理论及其在基桩分析中的应用

首次将岩土体荷载与位移特征曲线划分为3种类型,并定义高地应力的判别标准。提出一种新的本构理论,可以描述在不同正压力（或不同围压）下应力（或荷载）与应变（或位移）的全过程特征,只有3个描述材料结构和状态的力学参数。该理论不仅可以描述单个材料,也可以描述多种材料组成的复合材料和两种不同材料界面等力学特性,变形可达任意值。对于长沙湾特大桥基桩,在不同静载荷作用下不同土体与桩之间的力学特性采用新本构理论进行数值模拟,结果表明该本构理论可以描述不同岩土体和岩土体与基桩之间的力学特性。