古代中西黄赤交角测量和计算中几个问题的比较

运用比较研究的方法,对中国东汉四分历前后和古希腊首次出现的一些球面天文学概念以及黄赤交角的测量和计算进行比较．结果表明,东汉时期已经初步尝试并基本建立了一个空间天球概念,但是没有被启代很好地继承下来,而古希腊建立的空间天球概念被现代天文学所继承;古代中西方对于黄赤交角的测量和计算方法不同,并且东汉时期黄赤交角测量值的精度高于古希腊测量值的精度．     

基于属性熵和加权余弦相似度的离群算法

离群点检测是数据挖掘的一个重要研究方向,大多数离群数据挖掘算法在应用到高维数据集时效率较低。给出了一种基于属性熵和加权余弦相似度的离群数据挖掘算法LEAWCD.该算法首先根据局部属性熵分析每个对象在其k-邻域内的局部离群属性,并依据各离群属性的属性偏离度自动设置属性权向量;其次使用对高维数据有效的余弦相似度经加权后度量各对象在k-邻域内的离群程度,实现高维局部离群点检测;最后采用国家天文台提供的天体光谱数据作为数据集,实验验证了LEAWCD算法具有伸缩性强和检测精度高等优点。     

Arnold diffusion in the elliptic restricted three-body problem

In this paper, we show the existence of the Arnold diffusion in the elliptic restricted three-body problem. This gives one of the very few examples of Arnold diffusion in real physical systems. The construction is based on the transversal homoclinic orbits in the circular restricted three-body problem ([6, 7, 14]). We prove that the small perturbations to the horseshoe maps in the neighborhood of the homoclinic orbits creates the Arnold diffusion. The existence of the Arnold diffusion also shows that the elliptic restricted three-body problem is non-integrable.     

Aspects of the Mach–Einstein Doctrine and Geophysical Application (A Historical Review)

The present authors have given a mathematical model of Mach's principle and of the Mach–Einstein doctrine about the complete induction of the inertial masses by the gravitation of the universe. The analytical formulation of the Mach–Einstein doctrine is based on Riemann's generalization of the Lagrangian analytical mechanics (with a generalization of the Galilean transformation) on Mach's definition of the inertial mass and on Einstein's principle of equivalence. All local and cosmological effects—which are postulated as consequences of Mach's principle by C. Neumann, Mach, Friedl?nder and Einstein—result from the Riemannian dynamics with the Mach–Einstein doctrine. In celestial mechanics it follows, in addition, Einstein's formula for the perihelion motion. In cosmology, the Riemannian mechanics yields two models of an evolutionary universe with the expansion lows R ~ t or R ~ t². In this paper, secular consequences of the Mach–Einstein doctrine are examined concerning palaeogeophysics and celestial mechanics. The research predicted secular decrease of the Earth's flattening and secular acceleration of the motion of the Moon and of the planets. The numerical values of this secular effect agree very well with the empirical facts. In all cases, the secular variation of the parameter α is the order of magnitude , where H₀ is the instantaneous value of the Hubble constant: . The relation of the secular consequences of the Mach–Einstein doctrine to those of Dirac's hypothesis on the expanding Earth, and to Darwin's theory of tidal friction are also discussed.     

振动Kuzmin盘星系的对称轴上的恒星运动性质

Recently, the role of galaxy oscillations in galactic evolution and structure has been noticed (e. g. Miller et al. 1994). In this paper we discuss the motion properties of the stars confined to the symmetric axis of an oscillating Kuzmin disk embedded in a logarithmic halo (Bin-     

一种新的惯性／天文组合导航方法研究

针对传统的惯性／天文组合定位定向法不能有效修正惯性导航系统传感器误差所造成的导航误差，研究了一种新的惯性／天文组合导航方法。利用天文导航系统的量测，在初始对准后估计并补偿加速度计偏置误差，在组合导航过程中闭环修正陀螺漂移误差，进而提高组合导航的姿态、速度及定位精度。仿真结果表明了该方法的有效性，并通过与传统组合方法仿真结果的比较，证明了此方法的优越性。     

天体对偶矩阵周期序列制作长期强天气过程的预报方法

依据现代电子力学的对偶性理论,应用天体半年运行周期对应的原理,把天体运行（指在太阳系范畴）设想为一种对偶性矩阵周期序列,导出了一个地球在太阳,月亮,行星对偶性引力控制下的3个天体对偶矩阵周期组合表达式,运用这一表达式计算出来的级数序列模式指标制作春,夏,秋,冬强天气过程的预报方法。从1959－1987年的历史统计强天气过程预报准确率为18／20;中等强度天气过程为43／43。从1987－1998年利用该方法预报比利用其他预报制作同类天气过程,预报准确率提高了15％－20％。     

一种航天器天文自主定轨方法

提出用星敏感器和地平仪测量星光角距作为主要观测量,用地平仪直接测量得到地心方向矢量,用间接测得的地心距离作为补充观测量,并用推广卡尔曼滤波方法来实时确定航天器的轨道。文中对系统的构成、模型的建立、以及卡尔曼滤波的方法都作了认真的仿真研究,并获得了满意的结果。     

汉画像石中的驯兽斗兽表演及其思想内涵

斗兽、驯兽是汉代乐舞百戏中角抵戏的内容之一。汉画中有许多斗兽驯兽的内容,这些内容一直被学术界认为是汉代斗兽驯兽情况的真实反映。但作为墓室中的画像内容,这些斗兽、驯兽画像是服务于汉代人的丧葬思想的,有它们自己特殊的思想内涵:娱神表演、为升仙驯兽。那些看似人与兽斗的场面实则是驯兽,斗兽驯兽都是升仙思想的组成部分。