Periodic orbits of an electric charge in a magnetic dipole field

Periodic orbits in the Stormer problem are studied using the symmetry lines of the Poincaré map introduced by De Vogelaere. Many known facts are explained by mean of these lines. The dynamics of four special symmetry lines when the Stormer parameter ₁ changes is presented, and we obtain a clear global view of the structure of the simple periodic orbits and their bifurcations, including the asymmetrical ones. New asymmetrical multiple periodic orbits are obtained.     

态势感知模式下的互联网“问题地图”监管工作探究

近年来,传统的媒体网站和新兴的微博、微信等自媒体平台上使用地图配合相关新闻的报道呈明显上升趋势。目前,我国行业主管部门已经建立了相应的软件监管平台,每天都有大量的“问题地图”被系统监测到。但当“问题地图”被监测到之后,系统采用的数据存储方式远不能适应当今大数据时代多维度、立体式数字信息存储、分析的发展潮流。本文通过对态势感知技术的研究,结合互联网“问题地图”监管工作的具体特点,设计了“问题地图”模型的格式及“问题地图”大数据库规格,并以此为基础模拟制定几类“问题地图”态势分析模式,对态势感知模式下的互联网“问题地图”监管工作进行了探究,使国家互联网地理信息监管的相关工作能够得到进一步发展。     

地热井常见主要问题分析与研究

针对目前地热井施工技术现状及地热井使用中常见的问题，进行了较为详细的分析和研究，并就今后发展方向和建议进行了初步探讨。     

Conservative two-body problem with variable masses

We consider the conservative two-body problem with a constant total mass, but with variable individual masses. The problem is shown to be completely integrable for any mass variation law. The Keplerian motion known for the classical two-body problem with constant masses remains valid for the relative motion of the bodies. The absolute motions of the bodies depend on the center-of-mass motion. Hitherto unknown quadratures that depend on the mass variation law were derived for the integrals of motion of the center of mass. We consider some of the laws that are of interest in studying the motion of close binary stars with mass transfer.     

非等间距GM(1,1)模型的总体最小二乘算法及其病态问题

在非等间距GM(1,1)模型中,系数矩阵中有无误差的常数项和有误差的随机项,并且系数矩阵与观测向量误差同源,即系数矩阵与观测向量中有相同的元素存在,这些相同元素应该有相同的改正数,为此本文推导了一种适合非等间距GM(1,1)模型求解的总体最小二乘算法。同时,考虑到非等间距GM(1,1)模型中存在病态问题时影响总体最小二乘计算结果的稳定性,提出对系数矩阵常数列乘以某一常数的方法,以改善病态问题。     

Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem

We consider the planar three-body problem and prove that, apart from some exceptional cases, there is no additional first integral meromorphic with respect to positions, mutual distances and momenta.     

The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem

This paper deals with the Sitnikov family of straight-line motions of the circular restricted three-body problem, viewed as generator of families of three-dimensional periodic orbits. We study the linear stability of the family, determine several new critical orbits at which families of three dimensional periodic orbits of the same or double period bifurcate and present an extensive numerical exploration of the bifurcating families. In the case of the same period bifurcations, 44 families are determined. All these families are computed for equal as well as for nearly equal primaries (μ = 0.5, μ = 0.4995). Some of the bifurcating families are determined for all values of the mass parameter μ for which they exist. Examples of families of three dimensional periodic orbits bifurcating from the Sitnikov family at double period bifurcations are also given. These are the only families of three-dimensional periodic orbits presented in the paper which do not terminate with coplanar orbits and some of them contain stable parts. By contrast, all families bifurcating at single-period bifurcations consist entirely of unstable orbits and terminate with coplanar orbits.     

坑内钻探在康家湾矿的应用

介绍了坑内钻探在康家湾矿的使用情况,并作了统计分析。对坑内钻探存在原问题和缺陷提出了相应的解决办法。     

大瑞铁路高黎贡山越岭段主要工程地质问题与地质选线

在野外地质调查、钻探、地应力测量和室内测试分析的基础上,对大瑞铁路高黎贡山越岭段规划设计中可能遇到的高地温、高地应力、活动断裂断错、岩爆、涌水突泥、软岩大变形和边坡稳定性等主要工程地质问题进行了论述,认为高地温和热害是制约高黎贡山深埋隧道段建设的关键因素。根据地热钻探、测试资料分析,该区的地热分布受断裂构造控制明显,黄草坝断裂具有阻水隔热的工程地质特性。对比分析认为,C12K方案(34.5 km越岭长隧道方案)位于黄草坝阻水隔热断层之南,通道内相对低温,且在隧道口处避让了古滑坡等不利工程地质问题,在众多比选方案中工程地质条件较好。调查研究结果对大瑞铁路全线贯通具有重要意义。     

基于部分最小二乘岭估计的粗差定值定位

在利用部分最小二乘原理进行粗差定值定位时,模型的法方程矩阵可能存在病态性,使得到的粗差定值定位结果不可靠。文中针对观测数据包含多个粗差且法方程病态问题,利用岭估计处理病态问题,建立部分最小二乘岭估计的粗差定值定位方法,给出粗差搜索步骤,利用迭代算法实现多个粗差的定值和定位。通过模拟算例分析部分最小二乘法、部分最小二乘岭估计在粗差搜索方面的效果,从另一个角度探讨粗差处理方法,推广现有的误差理论,证明文中方法的有效性。