The Two Fixed Centers: An Exceptional Integrable System

It is usually believed that we know everything to be known for any separable Hamiltonian system, i.e. an integrable system in which we can separate the variables in some coordinate system (e.g. see Lichtenberg and Lieberman 1992, Regular and Chaotic Dynamics, Springer). However this is not always true, since through the separation the solutions may be found only up to quadratures, a form that might not be particularly useful. A good example is the two-fixed-centers problem. Although its integrability was discovered by Euler in the 18th century, the problem was far from being considered as completely understood. This apparent contradiction stems from the fact that the solutions of the equations of motion in the confocal ellipsoidal coordinates, in which the variables separate, are written in terms of elliptic integrals, so that their properties are not obvious at first sight. In this paper we classify the trajectories according to an exhaustive scheme, comprising both periodic and quasi-periodic ones. We identify the collision orbits (both direct and asymptotic) and find that collision orbits are of complete measure in a 3-D submanifold of the phase space while asymptotically collision orbits are of complete measure in the 4-D phase space. We use a transformation, which regularizes the close approaches and, therefore, enables the numerical integration of collision trajectories (both direct and asymptotic). Finally we give the ratio of oscillation period along the two axes (the ‘rotation number’) as a function of the two integrals of motion. This revised version was published online in July 2006 with corrections to the Cover Date.     

商代含高放射性成因铅的青铜器矿料来源与古蜀三星堆在矿业贸易中的地位

含高放射性成因铅是商代青铜器的重要特征,但对其矿料来源的讨论众说纷纭,莫衷一是。笔者等收集了河南郑州商城、山西垣曲商城、湖北盘龙城、四川三星堆、陕西汉中(地区)、江西新干大洋洲、河南安阳殷墟和陕北(地区)覆盖整个商代的8个遗址/地区700件出土青铜器样品的铅同位素组成数据,并与全国606个Pb—Zn、Cu、Sn多金属矿床4025件矿石样品的铅同位素组成数据进行比对分析,探讨商代青铜器的矿料来源和古蜀国在矿业贸易中的地位。研究表明：(1)河南郑州商城、湖北盘龙城、陕西汉中、山西垣曲商城、河南安阳殷墟和陕北6个遗址/地区的青铜器很可能采用了含异常铅和正常铅的两类铅料;而四川三星堆与江西新干大洋洲出土的青铜器则主要采用了含异常铅的铅料。四川三星堆、陕西汉中和陕北3个遗址/地区出土的青铜器很可能采用了含异常铅和正常铅的两类铜料;而河南郑州商城、湖北盘龙城、山西垣曲商城、河南安阳殷墟与江西新干大洋洲出土的青铜器采用的铜料很可能以含正常铅为主,但不排除采用含异常铅铜料的可能性。(2)对比全国Cu、Pb—Zn、Sn及多金属矿床铅同位素资料,商代遗址出土的青铜器中的高放射性成因铅的铅料,最有可能来自四...     

铅同位素比值法研究辽宁东大杖子战国墓地出土铜器的矿料来源

东大杖子墓地作为辽宁乃至东北亚地区等级极高的战国时期墓地,自发掘以来一直受到学术界的高度关注,前期的研究工作主要集中在墓葬以及随葬品类型学、文化性质等方面,缺乏对该墓地出土青铜器矿料来源的研究。本文采用电感耦合等离子体发射光谱仪、扫描电镜能谱仪和表面电离型固体质谱仪对该墓地出土的7件青铜样品进行了成分和铅同位素比值分析。成分测试结果显示7件样品中有4件为铅锡青铜,2件为锡青铜,1件未知,器物功用和合金性能基本相匹配;铅同位素示踪结果显示部分器物的铜料不大可能来自内蒙古林西大井、辽宁红透山以及山西中条山等铜矿; 5件铅含量大于2%的样品铅同位素比值~(206)Pb/~(204)Pb、~(207)Pb/~(204)Pb、~(208)Pb/~(204)Pb变化范围分别为17. 685～17. 941、15. 530～15. 612、38. 080～38. 404,其铅料来自辽宁青城子铅锌矿的可能性极大。本研究有助于探索辽宁东大杖子战国墓地出土铜器的矿料来源,同时为研究战国时期辽西与辽东半岛的金属资源贸易和流通以及辽东半岛资源开发历史提供了科学的证据。     

一体化专业气象服务集成系统

针对现有专业气象服务效益不高,集约化程度低的问题,结合现有专业气象服务模式和业务流程,提出以实现专业气象服务的集约化、规模化和标准化为目标,集数据采集、产品加工、产品显示发布、业务管理于一体的专业气象服务集成系统。系统采用数据解析技术将不同的专业气象服务所需的数据解析为统一的格式,利用网络地理信息系统等技术生成动态服务产品,实现产品自动化制作。自2011年4月汛期投入贵州省气象服务中心使用以来,取得了明显的经济效益和社会效益,满足了业务的需要,有效地提高了专业气象服务的水平。     

MCAI课件的开发

介绍了开发多媒体计算机辅助教学课件《台风》的设计思想及过程,其中包括系统分析、结构设计、关键技术和课件实现等,为相关人员开发MCAI(Multimedia Computer-Assisted Instruction)课件提供了借鉴。     

On the Spectrum Width of Wind Waves

Based on the universal expression of wind wave spectra, four commonly used definitions of the spectrum width are re-examined. The results show that the non-dimensional spectrum width can measure the width of non-dimensional spectra hut it does not reflect the developing state of the spectra. The dimensional spectrum width expresses the degree of concentration of wave energy of the spectrum in (he process of wind wave growth. Tests show that the spectrum width presented by Wen et al. can objectively measure the degree of concentration of wave energy of the spectrum, reflect the state of wind wave growth, and provides a better result for practical application. The rules for definition of the spectrum width are discussed.     

Transformation and Breaking of Irregular Waves on Very Gentle Slopes

—Based on theoretical analysis.numerical calculation.and experimental study,this paper dis-cusses breaker indices of irregular waves.transformation of wave spectrum.characteristics and computa-tion of breaking waves.as well as the critical beach slope under which waves will not break.Computed re-sults are in good agreement with laboratory physical model test data and ocean wave field measurements.     

江苏省地质环境监测数据库管理系统(V1．00)

江苏省地质环境监测数据库管理系统———GEMS(V1.0 0 )是用VisualC 6 .0开发的 32位Windows应用程序 ,采用ODBC及SQL进行编程设计 ,实现了对数据库的直接访问和基本操作。系统数据源选取广泛 ,数据结构设计合理 ,各种信息资源提取的自动化、可视化程度较高 ,具有较强的绘图功能。系统充分利用了Surfer、AutoCAD、ModFlow等多种软件 ,扩展了系统的制图及分析计算能力 ,同时提供了DXF、CLP和WMF 3种图形文件转换格式 ,使其具有更广阔的应用前景。     

地形表面反射波镜面效应分析

地形是影响电磁波地表传播的重要因素,地形反射波对接收机天线的镜面效应直接影响相关电磁发射接收系统的电磁兼容性,甚至造成系统无法正常工作。通过对地表反射波产生镜面效应的原理进行分析,建立了天线藕合单向链路传播通道反射波地表镜面效应点分析判断模型,并对其应用进行了探索研究。     

Minesight软件在葛源铌钽矿床资源储量估算中的应用

Minesight是国际著名的矿业软件,运用国际通用的先进地质统计学新方法进行资源储量估算.根据矿床成矿规律,应用Minesight软件建立葛源铌钽矿床地质模型,以花岗岩实体限制克立格估值范围,用不同边界品位动态圈定矿体,动态估算矿床资源储量,所得结果精度很高,并且最大限度地满足了市场经济的需要.