精密星历插值中龙格现象处理策略  

Disposal Strategy of Runge's Phenomenon in Interpolating Precise Ephemeris

作　　者：赵峰[1] 欧阳永忠[2] 晏新村[2,3] 郭忠磊[2,4] 

机构地区：[1]海军出版社 [2]海军海洋测绘研究所 [3]92488部队 [4]海军大连舰艇学院海洋测绘系

出　　处：《海洋测绘》2013年第4期62-65,共4页Hydrographic Surveying and Charting

基　　金：国家863计划项目(2006AA06A202;2009AA121405);国家自然科学基金项目(41174062;41074002);国家重大海洋勘测专项项目(4200301)

摘　　要：针对由于高阶插值引起的龙格现象在精密星历插值两端表现得特别明显,提出了利用阶次组合、增加星历和先外推后插值3种方法减弱和消除龙格现象的影响,通过实例验证了3种方法的有效性和可行性,并对比分析了3种方法的优缺点,得到了一些有意义的结论。In view of the Runge＇ s phenomenon caused by the high order interpolation in the precise ephemeris interpolation is especially evident at both ends, three motheds of the order portfolio, the increase of ephemeris and the extrapolation before interpolation are used to weaken and eliminate the impact of the Runge＇ s phenomenon. The effectiveness and feasibility are verified through an example, and the advantages and disadvantages of the three methods are comparatively analysed to obtain some useful conclusions.

关 键 词：精密星历 插值 龙格现象 阶次组合 

分 类 号：P228.4[天文地球—大地测量学与测量工程]