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GPS精密星历的轨道内插方法比较

在高精度的GPS测量数据处理过程中,获取高精度卫星轨道是重要的环节,内插是获取任意历元的精密轨道信息的重要手段,对拉格朗日插值法、牛顿插值法、Neville逐次线性内插法和切比雪夫插值法的效果做了细致的比较,并在此基础上进一步探讨了短时间外推的效果。     

非滑动式与滑动式拉格朗日插值法在BDS精密星历内插中的比较分析

在高精度卫星定位数据处理中,对精密星历内插处理是一项基础工作。利用拉格朗日多项式插值法,从三方面对北斗导航系统精密星历进行了内插精度分析,分别是非滑动式拉格朗日插值法在不同插值阶数下的插值精度,滑动式拉格朗日插值法在不同插值阶数下的插值精度,以及非滑动式和滑动式拉格朗日插值法在同一插值阶数下的插值精度。算例结果表明,如果将插值阶数作为横坐标,且向右为正,插值精度为纵坐标,向上为正,那么非滑动式拉格朗日插值法的插值精度与插值阶数呈现一个开口向下的抛物线关系;滑动式拉格朗日插值法的插值阶数高于7后,插值精度处于稳定且高的状态,插值误差最大值为1. 1 mm左右,均方差在0. 4 mm左右;在同一插值阶数下,滑动式拉格朗日插值法的精度高于非滑动式拉格朗日插值法的精度。     

渤海湾环流的一次观测和分析

为了对渤海湾的环流形态有一个准确的认识，对渤海湾进行了一次较为全面的海流调查。这次调查以Ｌａｇｒａｎｇｅ观点为指导，采用３种方法：海流计在固定站位连续测流；漂流板轨迹观测和“人工水母”测底层流。本文分别介绍这三种方法及观测过程，并分析得出了渤海湾Ｌａｇｒａｎｇｅ余环流型大致是顺时针的结论     

河北沧州市臭氧质量浓度与气象因子的关系分析

利用2014—2020年河北沧州逐小时气象与环境监测数据,对沧州市臭氧(O₃)污染加剧现状及其与气象因子的关系进行分析。结果表明：(1)沧州地区O₃污染呈加剧态势,且O₃已上升为该地区首要污染物;O₃污染集中出现在5—9月,O₃质量浓度日变化呈单峰单谷型,最大浓度出现在16:00前后;(2)5—9月O₃日最大8 h平均质量浓度(简称“O₃-8 h”)所处时段,平均气温、最高气温、相对湿度、总辐射辐照度与O₃质量浓度的相关性较好,本站气压、水汽压和平均风速与O₃质量浓度的相关性未通过显著性检验;(3)5—9月O₃-8 h时段,当同时满足8 h平均气温高于30.9℃、最高气温高于32.7℃、平均相对湿度低于42.1%、平均总辐射辐照度高于505.8 W·m^-2时,出现O₃污染的概率达84%;(4)气象因子不是O₃     

基于年际增量法的华西秋雨预测模型建立及检验

利用1962—2018年华西地区301个气象台站秋季降水量资料和国家气候中心整理的130项气候系统指数，采用年际增量法建立了华西秋雨预测模型。首先通过相关分析挑选了4个与华西秋雨年际增量前3主模态密切相关的影响因子，进而采用多元线性回归方法进行建模，拟合时段和后报时段分别选为1962—1991年和1992—2018年。华西秋雨年际增量前3主模态累积值的预测模型通过了α=0.01的显著性水平检验，表明该模型具有较高的拟合预测能力。然后用相同的预测因子分别建立华西地区301个气象站点的华西秋雨年际增量预测模型，大部分模型都通过了显著性检验。用PS评分指标对预测效果进行检验，结果显示后报期年平均PS评分达74.5分。从空间分布来看后报期大部分站点的PS评分都超过60分，其中四川盆地南部、贵州东部和湖南西部等地超过80分。与华西各省和国家气候中心发布的近6年秋季降水预测PS评分进行比较，发现模型后报结果有显著优势。总体来看，用年际增量法建立的华西秋雨预测模型具有较高的预测技巧和实际应用价值。     

遥感影像大气校正通用查找表的设计与插值算法

大气参数查找是遥感图像大气校正中一个重要的步骤。本文针对当前多数大气参数查找表普适性不强、查找表数据存储空间巨大、具体实施步骤不详细的问题,建立了一个通用化的多维大气参数查找表,其光谱分辨率为1 nm,并适用于多种遥感传感器。本文采用二进制文件方式存储查找表,并研究采用多维拉格朗日和多维反距离加权插值方法对输入参数进行插值。结果表明以二进制文件方式存储查找表,不但可以最大化地减少磁盘存储空间,还可以实现查找表数据快速随机读取;相对于多维反距离加权插值方法,多维拉格朗日插值方法的速度更快,精度更高,与MODTRAN4.0模型计算结果(真值)相比,它的误差仅为±1.0%左右。     

An iterative pressure‐stabilized fractional step algorithm in saturated soil dynamics

This paper presents an iterative, incremental pressure‐stabilized fractional step algorithm for coupled hydro‐mechanical problems with mixed formulations of the displacement–pressure ( u –p) model in saturated soil dynamics that allows the use of finite elements with equal low order of interpolation approximation of u and p. In comparison with the original fractional step algorithm, the distinct features of the proposed algorithm lie in its enhanced stability owing to the introduction of both an iteration procedure and a finite increment calculus (FIC) process into the algorithm. The introduction of the iterative procedure makes the velocity term satisfy the momentum conservation equation in an implicit sense and allows much larger time step sizes to be used than those limited in existing explicit and semi‐implicit versions of the algorithm. The introduction of the FIC process removes the dependence of the stability of the proposed algorithm on the time step size, as a result it allows to using the incremental version of the algorithm and evades the minimum time step size requirement presented in the existing versions of the fractional step algorithm that restricts the application of the algorithm to saturated soil dynamics problems with high frequencies. Numerical experiments demonstrate the effectiveness and improved performance of the proposed iterative pressure‐stabilized fractional step algorithm. Copyright © 2009 John Wiley & Sons, Ltd.     

Stability of Hamiltonian Systems with Three Degrees of Freedom and the Three Body-Problem

Results are obtained about formal stability and instability of Hamiltonian systems with three degrees of freedom, two equal frequencies and the matrix of the linear part is not diagonalizable, in terms of the coefficients of the development in Taylor series of the Hamiltonian of the system. The results are applied to the study of stability of the Lagrangian solutions of the Three Body-Problem in the case in which the center of mass is over the curve ρ_*, on the border of the region of linear stability of Routh. The curve ρ_* is divided symmetrically in three arcs in such a way that if the center of mass of the three particles lies on the central arc, the Lagrangian solution is unstable in the sense of Liapunov (in finite order), while if the center of mass determines one point that lies on one of the other two arcs of ρ_*, then the Lagrangian solution is formally stable.     

Novel Analysis of Tadpole and Horseshoe Orbits

A simple analysis of tadpole and horseshoe orbits is performed using a new perturbation technique. The first-order results are presented explicitely, extension to any perturbation order is delineated. This revised version was published online in July 2006 with corrections to the Cover Date.