| 超高阶地球重力场模型的高程异常优化算法 |
| |
| 引用本文： | 曲政豪,曾添,周强.超高阶地球重力场模型的高程异常优化算法[J].海洋测绘,2014(4):5-8. |
| |
| 作者姓名： | 曲政豪 曾添 周强 |
| |
| 作者单位： | 解放军信息工程大学地理空间信息学院,河南郑州450052 |
| |
| 基金项目： | 国家自然科学基金（41274029）;国家863计划（2013AA122502）. |
| |
| 摘 要： | 通过分析比较标准前向列推、标准前向行推、跨阶次递推和Belikov列推4种缔合勒让德递推算法的精度、稳定性以及计算速度,提出了选取Belikov列推法来解算超高阶重力场模型高程异常;研究探讨了基于严密球谐级数展开、保留泰勒级数展开的零阶项和保留至泰勒级数展开一阶项计算模型高程异常的三种算法,并进行了实验计算分析。结果表明,保留至泰勒级数一阶项的模型高程异常既能保证计算速度也能达到足够的精度,可满足大区域高分辨率高程异常建模的需求。
|
| 关 键 词： | 缔合勒让德函数 超高阶地球重力场模型 高程异常 泰勒级数展开 |
Optimization Algorithm for Height Anomaly of Ultra-high Degree and Order Earth Gravity Field Model |
| |
| QU Zhenghao,ZENG Tian,ZHOU Qiang.Optimization Algorithm for Height Anomaly of Ultra-high Degree and Order Earth Gravity Field Model[J].Hydrographic Surveying and Charting,2014(4):5-8. |
| |
| Authors: | QU Zhenghao ZENG Tian ZHOU Qiang |
| |
| Institution: | ( Institute of Geo-spatial Information, Information Engineering University, Zhengzhou 450052, China) |
| |
| Abstract: | Four recursion methods of computing the ultra-high degree and order fully normalized associated Legendre functions such as standard forward column method, standard forward row method, recursive method between every other order and degree and Belikov column method, were analyzed and compared to the advantages and disadvantages from three aspects of numerical precision, numerical stability and numerical efficiency in this paper. The Belikov column method was chosen to calculate the height anomaly of the earth＇ s gravity field model. Then three different algorithms for calculating model height anomaly based on strict spherical harmonic expansion formula, retaining the formula＇ s function of Taylor series about geocentric radius vector unfolded to zero order term and retaining the formula＇ s function of Taylor series unfolded to one order term were discussed, and some experiments were conducted. The result showed that unfolding to first order Taylor series of formula about geocentric radius vector to calculate height anomaly of the earth＇ s gravity field model could both ensure good computing speed and reach enough precision, meeting the requirement of building the large area high-resolution height anomaly model. |
| |
| Keywords: | associated Legendre function ultra-high degree and order earth gravity field model heightanomaly Taylor series expansion |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《海洋测绘》浏览原始摘要信息 |
| 点击此处可从《海洋测绘》下载免费的PDF全文 |
