Branching solutions and Lie series     

F. Váradi 《Celestial Mechanics and Dynamical Astronomy》1993,57(4):517-536

Branching solutions of algebraic equations are treated using Lie series. A new method is proposed to derive Puiseux expansions. Newton's diagram is considered in the context of Lie series. An application of finding equilibrium points of a Hamiltonian system near resonances is also demonstrated.  相似文献   

On the kinematic deconvolution of the local neighbourhood luminosity function     

C. Pichon  A. Siebert  O. Bienaymé 《Monthly notices of the Royal Astronomical Society》2002,329(1):181-194

A method for inverting the statistical star counts equation, including proper motions, is presented; in order to break the degeneracy in that equation, it uses the supplementary constraints required by dynamical consistency. The inversion gives access to both the kinematics and the luminosity function of each population in three régimes: the singular ellipsoid, the constant ratio Schwarzschild ellipsoid plane-parallel models and the epicyclic model. This more realistic model is tailored to account for the local neighbourhood density and velocity distribution.
The first model is fully investigated, both analytically and by means of a non-parametric inversion technique, while the second model is shown to be formally its equivalent. The effect of noise and incompleteness in apparent magnitude is investigated. The third model is investigated by a     non-parametric inversion technique where positivity of the underlying luminosity function is explicitly accounted for.
It is argued that its future application to data such as the Tycho catalogue (and in the upcoming satellite GAIA ) could lead – provided that the vertical potential and or the asymmetric drift or w _⊙ are known – to a non-parametric determination of the local neighbourhood luminosity function without any reference to stellar evolution tracks. It should also yield the proportion of stars for each kinematic component and a kinematic diagnostic to split the thin disc from the thick disc or the halo.  相似文献   

The analysis of isochrone fitting methods for red giant branch photometry, and tip red giant branch distance determination     

C. M. Frayn  G. F. Gilmore 《Monthly notices of the Royal Astronomical Society》2003,339(3):887-896

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A deep UBVRI CCD photometric study of the open clusters Tr 1 and Be 11     

R. K. S. Yadav  Ram Sagar 《Monthly notices of the Royal Astronomical Society》2002,337(1):133-146

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三元体系LiCl-Li₂SO₄-H₂O和Li₂SO₄-Na₂SO₄-H₂O 333.15 K相平衡研究          下载免费PDF全文

张永明  张志宏  崔瑞芝  李武 《盐湖研究》2022,30(3):34-41

采用等温溶解平衡法研究了三元体系LiCl-Li₂SO₄-H₂O和Li₂SO₄-Na₂SO₄-H₂O在333.15 K下的相平衡关系,测定了333.15 K条件下两个体系平衡溶液的溶解度,根据溶解度数据绘制了两个三元体系的相图。研究发现:在三元体系LiCl-Li₂SO₄-H₂O中,相图由两条单变曲线、一个不变点和两个结晶区组成,平衡固相为LiCl·H₂O和Li₂SO₄·H₂O;在三元体系Li₂SO₄-Na₂SO₄-H₂O中,相图由两个不变点、三条单变曲线和三个结晶区组成,平衡固相分别为Li₂SO₄·H₂O、Na₂SO₄和Li₂SO₄·Na₂SO₄。  相似文献   

阿克苏断层氢气浓度动态特征及其映震效能          下载免费PDF全文

钟骏  王博  闫玮  马玉川 《地震学报》2021,43(5):615-627

首先对阿克苏断层氢气浓度观测资料的周期成分进行了时频分析,然后分别利用线性回归和互相关方法分析了气温、气压与氢气浓度年周期成分的关系,并利用Molchan图表法对阿克苏断层氢气的映震效能进行了定量检验。结果显示:① 阿克苏断层氢气浓度具有清晰的年周期和半日周期成分;② 阿克苏断层氢气浓度的年周期动态变化与气温具有显著的正相关性,与气压的相关性一般,表明其年周期变化主要受气温影响;③ 阿克苏断层氢气浓度异常对观测点周边中强以上地震的反应较灵敏,映震效果较好。   相似文献   

基于广义Pareto分布的广东省近50年极端降水事件研究     

屈燕琴  谢利  曹铭斌  谢仁杰  郭和蓉  刘迎湖 《地理与地理信息科学》2014,30(6)

利用广东省平均和5个代表站点1961-2010年近50年的逐日降水量资料,采用基于广义Pareto分布的平均剩余寿命图法计算极端降水阈值,并与传统的百分位法进行比较,对广东省极端降水的时间变化和空间分布特征进行了分析。结果表明,平均剩余寿命图法是计算极端降水阈值的一种有效方法,计算结果更能反映极端降水事件的区域差异。近50年来,广东省及各区域极端降水事件的强度和发生频率年际变化较大,均没有明显的上升趋势;热带、南亚热带和中亚热带3个自然分区的变化特征差异明显,空间上表现为南高北低的分布形式。  相似文献   

基于单位影响域的道路增量式综合方法   总被引：1，自引：0，他引：1  

刘一宁  蓝秋萍  费立凡 《武汉大学学报(信息科学版)》2011,(7):867-870

在地理信息数据库更新的要求下,提出了一种基于单位影响域的道路增量式综合方法,利用旧小比例尺上未发生变化数据,将道路的单位影响范围作为首要选取标准对新增数据进行取舍,减少了地图综合的工作量。采用四叉树分割方法对道路数据进行密度区域划分,不同密度区利用不同的单位影响域阈值进行取舍,保证综合后道路的密度分布与原数据保持一致,并用实验验证了该方法的有效性。  相似文献   

等时线模型支持下的深圳市综合医院空间可达性测度分析   总被引：1，自引：0，他引：1  

艾廷华  雷英哲  谢鹏  周校东 《地球信息科学学报》2020,22(1):113-121

可达性是在空间分布格局、设施约束等综合条件下的空间决策问题,等时线模型为该决策分析可提供方法支持,它是以时间地理为框架,用时间成本来衡量时空可达性的重要模型。面向兴趣点（Point of Interest, POI）可达性分析通常包括2种形式：① 基于“供给”角度从特定POI出发的服务可达分析;② 基于“需求”角度从任意空间位置出发获得最近服务的便利度分析。目前的研究从“供给”角度探求特定POI的服务范围居多,对“需求”角度的等时线分析关注不够。本研究针对这一缺陷,开展面向服务需求的兴趣点可达性等时线分析,考察任意位置达到某类服务设施最近点的时间代价。在几何度量方法上,本研究利用了网络空间Voronoi图模型,与传统欧氏空间Voronoi图相比,本方法顾及了街道网络对空间通达的直接影响。本研究发现了等时线的形态、坡度等特征能够反映POI的疏密分布和道路网的通达性。  相似文献   

Modeling the 3D crack network and anisotropic permeability of saturated cracked soil     

《Computers and Geotechnics》2013

Cracks on a natural soil surface provide preferential pathways for water infiltration and contaminant solute transport. Before the mechanical property and permeability of cracked soil can be studied, a crack network model must first be established. Based on statistical analysis of crack geometry from field observations, a new method of representing a 3D crack network was developed. A horizontal plane of a crack network was derived using the Voronoi diagram. Each vertical crack was idealized as an inverted triangular prism. The 3D permeability tensor was determined by modeling the water flow through the crack network. A computer program was developed to generate a 3D crack network automatically and compute the permeability tensor of cracked soil at different depths. The model was verified by comparing the measured permeability and computed permeability of cracked soil. The results showed that the computed permeability was consistent with the measured permeability.  相似文献