Asteroid Mean Elements: Higher Order and Iterative Theories

Mean orbital elements are obtained from osculating ones by removing the short periodic perturbations. Large catalogues of asteroid mean elements need to be computed, as a first step in the computation of proper elements, used to study asteroid families. The algorithms for this purpose available so far are only accurate to first order in the masses of the perturbing planet; the mean elements have satisfactory accuracy for most of the asteroid belt, but degraded accuracy in the neighbourhoods of the main mean motion resonances, especially the 2:1. We investigate a number of algorithms capable of improving this approximation; they belong to the two classes of Breiter-type methods and iterative methods. The former are obtained by applying some higher order numerical integration scheme, such as Runge–Kutta, to the differential equation whose solution is a transformation removing the fast angular variables from the equations; they can be used to compute a full second order theory, however, only if the full second order determining function is explicitly computed, and this is computationally too cumbersome for a complicated problem such as the N-body. The latter are fixed point iterative schemes, with the first order theory as an iteration step, used to compute the inverse map from mean to osculating elements; formally the method is first order, but because they implement a fixed frequency perturbation theory, they are more accurate than conventional single iteration methods; a similar method is already in use in our computation of proper from mean elements. Many of these methods are tested on a sample of asteroid orbits taken from the Themis family, up to the edge of the 2:1 resonance, and the dispersion of the values of the computed mean semimajor axis over 100 000 years is used as quality control. The results of these tests indicate that the iterative methods are superior, in this specific application, to the Breiter methods, in accuracy and reliability. This is understood as the result of the cancellations occurring between second order perturbation terms: the incomplete second order theory, resulting from the use of a Breiter method with the first order determining function only, can be less accurate than complete, fixed frequency theories of the first order. We have therefore computed new catalogues of asteroid mean and proper elements, incorporating an iterative algorithm in both steps (osculating to mean and mean to proper elements). This new data set, significantly more reliable even in the previously degraded regions of Themis and Cybele, is in the public domain. This revised version was published online in July 2006 with corrections to the Cover Date.     

对东昆仑金水口地区高级变质岩的新认识

详细的构造岩石单位填图研究表明,东昆仑山金水口高级变质岩分布区,并非仅由早元古代金水口岩群白沙河岩组变质地层组成。由花岗闪长质—英云闪长质—奥长花岗质构成的灰色片麻岩,组成了高级变质岩分布区的主体。在灰色片麻岩中进一步还可解体出更古老的以包体形式产出的表壳岩组合系列。因此,以金水口地区为窗口,加深对东昆仑山高级变质岩的研究,有助于澄清变质杂岩的属性,正确认识造山带的形成与演化和提高1:5万地质填图质量。     

与火山—次火山—侵入—热液作用有关的金矿床分类探讨

讨论近年来在陆相火山－次火山－侵入－热液作用有关的金矿床分类中的一些争论问题。从具体资料出发，认为扩大浅成代温热注作用的范围，摒弃中温热液和高温热液矿床，以及经它们与斑岩矿床的关系是不妥当的；认为斑岩和系列是建立成矿模式，划分有产矿床的基础。     

Role of Triad Kinetic Energy Interactions for Maintenance of Upper Tropospheric Low Frequency Waves during Summer Monsoon 1988

ＲｏｌｅｏｆＴｒｉａｄＫｉｎｅｔｉｃＥｎｅｒｇｙＩｎｔｅｒａｃｔｉｏｎｓｆｏｒＭａｉｎｔｅｎａｎｃｅｏｆＵｐｐｅｒＴｒｏｐｏｓｐｈｅｒｉｃＬｏｗＦｒｅｑｕｅｎｃｙＷａｖｅｓｄｕｒｉｎｇＳｕｍｍｅｒＭｏｎｓｏｏｎ１９８８Ｄ．Ｒ．Ｃｈａｋｒａｂｏｒｔｙａ...     

影响江淮地区的西南涡中尺度结构特征

利用合成方法对３次西南涡过程的流场，温湿场和涡度场等进行了分析。结果指出：沿切变线存在风场的中尺度扰动，低涡的尺度为２５０－３００ｋｍ，中低层有两支不同性质的气流流入低涡区，降水主要发生在低涡移动方向右侧的两象限。温湿场和铅直流场在低涡区呈现明显的不对称分布，低涡是一个显著的斜压系统。     

北京延庆盆地早更新世孢粉组合及其气候地层学意义

本文孢粉化石是通过延庆盆地杨户庄、阜高营及东龙湾地区地层剖面研究的。自上而上划分个孢粉组合带、植被演替和气候变化阶段。１．Ｑｕｅｒｃｕｓ－Ｒａｎｕｎｃｕｌａｃｅａｅ－Ｇｒａｍｉｎａｅ，针阔混交林－草原，气候温暖偏干。２．Ｐｉｎｕｓ－Ｐｏｌｅｍｏｎｉａｃｅａｅ，森林－草原，气候温凉干爽。３．Ｑｕｅｒｃｕｓ－Ｐｉｎｕｓ－Ｇｒａｍｉｎａｅ，针阔混交林－草原，气候温暖干燥。４．Ａｂｉｅｓ－Ｐｉｃｅａ－Ｐｏ     

新疆阿舍勒块状硫化物矿床成矿特征及形成环境

阿舍勒块状硫化物矿床位于阿尔泰华力西地槽系南缘。容矿岩石为中、下泥盆统富钠的火山岩系，为双峰式火山岩组合，系弧后扩张背景下的产物。矿床具双层结构，并具明显的垂向分带和侧向分带。矿体下盘火山岩发生了强烈地蚀变作用，形成由石英＋绢云母＋绿泥石±黄铁矿组成的半整合蚀变带。同位素研究表明，硫由海水硫酸盐和岩石中硫化物所提供，铅具深源的特征。通过对比，认为阿舍勒矿床与矿区阿尔泰的块状硫化物矿床相似     

辽河群镁质碳酸盐建造及其非金属矿产

辽河群镁质碳酸盐岩系，含矿岩石组合有黑尔峪组镁质碳酸盐含矿建造和大石桥组镁质碳酸盐含矿建造。其中由区域变质作用形成的白云石－滑石－菱镁矿、滑石－菱镁矿－透闪石、滑石－菱镁矿－水镁石－蛇纹石和硼矿物－蛇纹石－菱镁石－水镁石－滑石－金云母－透辉石等４种矿床组合形式，构成规律明显，经济价值大的非金属成矿系列。     

宁远─道县辉长岩包体的地球化学特征

宁远─道县地区中生代玄武岩中辉长岩包体的岩石化学─地球化学特征表明，辉长岩包体为钙碱性玄武岩系列，形成于活动大陆边缘火山孤环境。辉长岩的形成、侵位，与菲律宾板块自中生代以来向中国大陆俯冲作用有关。     

论不连序系列样本概率权重矩不偏计算公式

人们普遍认为要从理论上通过数学分析的方法来论证不连序系列样本概率权重矩的偏倚性是很困难的。本文根据次序统计量理论，分析推证了不连序系列样本概率权重矩的不偏计算公式，论证结果具有较重要的理论和实用意义。