Numerical investigation of motions of resonant asteroids in the three-dimensional space

Motions of asteroids in mean motion resonances with Jupiter are studied in three-dimensional space. Orbital changes of fictitious asteroids in the Kirkwood gaps are calculated by numerical integrations for 10⁵ – 10⁶ years. The main results are as follows: (1) There are various motions of resonant asteroids, and some of them are very complicated and chaotic and others are regular. (2) The eccentricity of some asteroids becomes very large, and the variation of the inclination is large while the eccentricity is large. (3) In the 3:1 resonance, there is a long periodic change in the variation of the inclination, when (7 : ) is a simple ratio (7: longitude of perihelion, : longitude of node). (4) In the 7:3 resonance, the variation of the inclination of some resonant asteroids is so large that prograde motion becomes retrograde. Some asteroids in the 7:3 resonance can collide with the Sun as well as with the inner planets.     

Asteroid motion near the 3 : 1 resonance

A mapping model is constructed to describe asteroid motion near the 3 : 1 mean motion resonance with Jupiter, in the plane. The topology of the phase space of this mapping coincides with that of the real system, which is considered to be the elliptic restricted three body problem with the Sun and Jupiter as primaries. This model is valid for all values of the eccentricity. This is achieved by the introduction of a correcting term to the averaged Hamiltonian which is valid for small values of the ecentricity.We start with a two dimensional mapping which represents the circular restricted three body problem. This provides the basic framework for the complete model, but cannot explain the generation of a gap in the distribution of the asteroids at this resonance. The next approximation is a four dimensional mapping, corresponding to the elliptic restricted problem. It is found that chaotic regions exist near the 3 : 1 resonance, due to the interaction between the two degrees of freedom, for initial conditions close to a critical curve of the circular model. As a consequence of the chaotic motion, the eccentricity of the asteroid jumps to high values and close encounters with Mars and even Earth may occur, thus generating a gap. It is found that the generation of chaos depends also on the phase (i.e. the angles andv) and as a consequence, there exist islands of ordered motion inside the sea of chaotic motion near the 3 : 1 resonance. Thus, the model of the elliptic restricted three body problem cannot explain completely the generation of a gap, although the density in the distribution of the asteroids will be much less than far from the resonance. Finally, we take into account the effect of the gravitational attraction of Saturn on Jupiter's orbit, and in particular the variation of the eccentricity and the argument of perihelion. This generates a mixing of the phases and as a consequence the whole phase space near the 3 : 1 resonance becomes chaotic. This chaotic zone is in good agreement with the observations.     

ELF propagation parameters for uniform models of the Earth–ionosphere waveguide

Uniform models for the Earth–ionosphere cavity are considered with particular attention to the physical properties of the ionosphere for the extremely low frequency (ELF) range. Two consistent features have long been recognized for the range: the presence of two distinct altitude layers of maximum energy dissipation within the lower ionosphere, and a “knee”-like change in the vertical conductivity profile representing a transition in dominance from ion-dominated to electron-dominated conductivity. A simplified two-exponential version of the Greifinger and Greifinger (1978) technique widely used in ELF work identifies two slopes in the conductivity profile and, providing accurate results in the ELF communication band (45–75 Hz), simulates too flat a frequency dependence of the quality factor within the Schumann resonance frequency range (5–40 Hz). The problem is traced to the upward migration, with frequency increasing, of the lower dissipation layer through the “knee” region resulting in a pronounced decrease of the effective scale height for conductivity. To overcome this shortcoming of the two-exponential approximation and still retain valuable model analyticity, a more general approach (but still based on the Greifinger and Greifinger formalism) is presented in the form of a “knee” model whose predictions for the modal frequencies, the wave phase velocities and the quality factors reasonably represent observations in the Schumann resonance frequency range.     

非线性弹性地基上矩形薄板的主参数共振

分析非线性弹性地基上受参数激励小挠度矩形薄板的主参数共振问题,由冯卡门方程和伽辽金方法得到系统的非线性振动方程,它是杜分-马休型方程,应用非线性振动的多尺度法得到平均方程。数值计算结果表明：阻尼系数、地基系数、几何参数对主参数共振曲线影响明显。     

基于动态增强磁共振的T1WI定量灌注参数伪彩图在导管源性乳腺癌中的诊断价值

目的:探讨基于动态增强的MR T1WI定量灌注参数伪彩图对导管源性乳腺癌的诊断价值。方法:16例女性手术前行双侧乳腺动态高分辨对比增强MR成像(DCE-MRI),绘制时间-信号强度曲线(TIC),基于乳腺动态增强磁共振的数据资料,通过灌注软件获得五种灌注伪彩图,分别为Wash-in、Wash-out、TTP、MIPt及PEI。选取病变的中央(1个)边缘(2个)及对侧相应部位正常乳腺组织(1个)为感兴趣区域,测得其各种灌注参数值,并研究探讨导管源性乳腺癌的灌注特点。结果:16例女性患者经病理学证实为13例浸润性导管癌、3例导管内癌。16个病灶中13例呈非肿块样强化,其中线状/导管样强化7例,斑片样强化5例,斑点状强化1例,另有3例为肿块样强化。16例患者TIC曲线均显示为Ⅱ型。Wash-in、Wash-out、TTP、MIPt及PEI五种灌注参数图的阳性发现分别为13个、10个、9个、15个、16个病灶,检出率分别为81.25%、62.50%、56.25%、93.75%、100%。对各组灌注参数值进行统计学分析,得出导管源性乳腺癌与对侧相应部位正常乳腺组织之间各参数值具有显著性差异(P<0.001);除TTP图参数外,病灶周边及病变中心各组参数值对比在统计学上亦具有显著性差异(P<0.001)。13例浸润性导管癌及3例导管内癌两种疾病的各种灌注参数值对比显示无统计学意义。结论:基于乳腺动态高分辨对比增强的T1WI定量灌注参数图对导管源性乳腺癌的检出率高,可为其诊断和鉴别诊断提供重要的补充信息。     

青海唐古拉沱沱河地区晚更新世河流阶地沉积特征及意义

青海沱沱河地区水系密布、河网交织,沿主干水系河流阶地发育.对沱沱河沿岸不同地段河流阶地进行物质成分及古植物孢粉进行研究,确定了自63.1 kaB.P.(ESR)以来的晚更新世草本植物与木本植物两个古植被演化阶段,相应气候由温凉较干向温和较湿转变.详细的测年(TL、ESR)数据显示,位于基座阶地之上的阶地堆积物为晚更新世97.78 KaB.P.以来堆积而成,推断长江水系在研究区的形成与外泄地质时期为晚更新世早期.     

弥散磁共振成像研究进展

对弥散磁共振成像的核心内容——使用不同强度和方向的弥散信息对完整弥散过程进行三维建模进行介绍.首先根据模型可描述纤维数量将其分为低角度分辨率和高角度分辨率弥散磁共振成像2类,然后根据建模所用弥散采样选择方式将高角度分辨率弥散磁共振成像分为多弥散角度方向模型、多弥散强度模型和综合弥散角度方向和强度模型3类并进行介绍,并对每个具体模型分别从模型设计、模型计算和模型优缺点3个角度进行分析.     

Free radical scavenging abilities of polypeptide from Chlamys farreri

1 INTRODUCTION Active oxygen free radicals can damage cell structure, even kill the cells, causing aging and cer- tain serious diseases (Bors et al., 1989). Usually, the production and scavenging of active oxygen free radicals are in balance in healthy hu…     

压实黏质砂土脱湿过程影响机制的核磁共振分析

通过对具有不同初始含水率和干密度的两种压实黏质砂土的脱湿曲线进行测试、分析和对比,并结合核磁共振技术,探讨了干密度、初始含水率和土样组分对压实黏质砂土脱湿过程的影响规律。利用核磁共振测得了试样在各级吸力下的T2时间（横向弛豫时间）分布曲线,定性地探讨了不同吸力下试样中的水分分布特征,揭示了干密度、初始含水率和土样组分对试样脱湿过程的微观机制影响。试验结果表明：干密度仅在低基质吸力条件下对试样脱湿过程产生重要影响,而在高吸力条件下初始含水率和试样组分起主导作用;核磁共振结果证实在压实黏质砂土中,小孔隙结构主要由初始含水率和试样组分控制,而大孔隙的结构主要取决于干密度;试样组分对压实土的内部结构和孔隙大小分布的影响比初始含水率大。