The Kepler problem: A unifying view

This paper is an attempt to bring unity in the study of the classical Kepler problem by combining, through simple vectorial and quaternionic techniques, its two peculiar aspects: the determination of the constants of the motion and the regularization at the origin.Research supported by the Consiglio Nazionale delle Ricerche of Italy (C.N.R.-G.N.F.M.).     

Robe's restricted three-body problem with drag

Robe's restricted three-body problem is investigated with regards to the effects of a linear drag force. In particular. the stability of the model's equilibrium points is studied in this respect. Two scenarios are envisaged: the one originally discussed by Robe himself and the one suggested by him and recently analyzed by the present authors, that assumes for the fluid body the structure of a Roche's ellipsoid.     

GB／T19000—ISO9000国家标准简介及在地勘单位贯彻中面临的间题

ＧＢ／Ｔ１９０００—ＩＳＯ９０００系列标准等同采用了国际通行的质量管理标准。贯彻该标准不仅能提高地勘单位质量管理水平、产品质量，也为地勘单位开展质量体系认证、产品质量认证提供技术依据，增强地勘单位参与国内、外市场竞争的能力。目前在贯标工作中制约因素主要有：地质成果形成特点及地质成果质量管理的特殊性、地质工作投入的减少及现有地质技术人员素质等。然而，贯标是我国经济体制改革深入的要求，是地勘队伍走出低谷、求生存和发展的基本手段。贯标和建立新的经济运行机制之间存在有相互依存、相互促进的关系。     

Estimations of orbital parameters of exoplanets from transit photometry by using dynamical constraints

The probability of the detection of Earth-like exoplanets may increase in the near future after the launch of the space missions using the transit photometry as observation method. By using this technique only the semi-major axis of the detected planet can be determined, and there will be no information on the upper limit of its orbital eccentricity. However, the orbital eccentricity is a very important parameter, not only from a dynamical point of view, since it gives also information on the climate and the habitability of the Earth-like planets. In this paper a possible procedure is suggested for confining the eccentricity of an exoplanet discovered by transit photometry if an already known giant planet orbits also in the system.     

Zonal-Harmonics Perturbations

A recently developed iterative technique for solving the perturbed Kepler problem is explained, in a step-by-step detail, using the simple example of oblateness perturbations. The results are then extended to deal with higher-degree zonal harmonics.     

Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem

We study numerically the asymptotic homoclinic and heteroclinic orbits around the hyperbolic Lyapunov periodic orbits which emanate from Euler's critical points L ₁ and L ₂, in the photogravitational restricted plane circular three-body problem. The invariant stable-unstable manifolds associated to these Lyapunov orbits, are also presented. Poincaré surface of sections of these manifolds on appropriate planes and several homoclinic and heteroclinic orbits for the gravitational case as well as for varying radiation factor q ₁, are displayed. Homoclinic-homoclinic and homoclinic-heteroclinic-homoclinic chains which link the interior with the exterior Hill's regions, are illustrated. We adopt the Sun-Jupiter system and assume that only the larger primary radiates. It is found that for small deviations of its value from the gravitational case (q ₁ = 1), the radiation pressure exerts a significant impact on the Hill's regions and on these asymptotic orbits.     

An implementation ofN-body chain regularization

The chain regularization method (Mikkola and Aarseth 1990) for high accuracy computation of particle motions in smallN-body systems has been reformulated. We discuss the transformation formulae, equations of motion and selection of a chain of interparticle vectors such that the critical interactions requiring regularization are included in the chain. The Kustaanheimo-Stiefel (KS) coordinate transformation and a time transformation is used to regularize the dominant terms of the equations of motion. The method has been implemented for an arbitrary number of bodies, with the option of external perturbations. This formulation has been succesfully tested in a generalN-body program for strongly interacting subsystems. An easy to use computer program, written inFortran, is available on request.     

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。     

基于红绿色觉异常人群的路况地图色彩设计研究

红绿色觉异常人群对于明度变化的感受比正常视觉者更加敏感,可以弥补色相辨别的缺陷。通过针对黄色明度对比实验得出红绿色觉异常人群对明度对比各等级的视觉感受,找出对红绿色觉异常人群既可以容易识别又不会觉得刺眼的明度对比范围。实验结果引入地图设色,结合色彩象征意义,做出红绿色觉异常人群和正常人群通用的路况地图。在路况信息清晰表达前提下,尽可能保留色彩象征意义,并保证地图的观赏性。通过路况地图色彩明度对比实验制作出红绿色觉异常人群既能无障碍识别又带有警示象征意义的路况地图。     

GIS平台点状地图符号共享方法探讨

针对GIS平台难以共享SVG点状地图符号的问题,该文分析了SVG地图符号组织模式,基于PB点状符号结构,设计了SVG点状符号向PB点状符号的映射方式,研究了SVG几何数据、笔画、填充等样式数据转换为PB点状符号的方法,提出了PB点状符号共享SVG点状符号的方式。最后以ArcGIS软件为例,构建了ArcGIS共享PB点状符号的方法,实现了GIS平台共享SVG点状地图符号。研究结果可为地图符号共享、地理信息可视化等研究提供参考。