摘要
随着地球重力场模型逐渐向超高阶次发展,如何利用超高阶重力场模型快速、精确地计算地球重力场参数成为重要问题。文章给出了利用位系数计算地球外部空间任意点位处重力场参数的数学模型和详细算法,采用比例因子法实现2190阶次缔合勒让德函数的稳定递推计算;并基于VS2008平台开发了重力场参数快速赋值软件。最后利用EGM2008重力场模型和实测GPS水准数据验证了算法、软件的可靠性与效率。
With the development of the ultra-high degree Earth＇s gravity field model, how to make use of the model to calculate quickly and accurately the Earth＇s gravitational field parameters becomes very important. This paper introduced the mathematical model and the detailed algorithm using the potential coefficients to calculate the gravity field parameters of the arbitrary point in the Earth＇s outer space, which uses the scale factor to achieve the stable recursive calculation of 2190 order associated Legendre function.Then it developed the fast assignment software of the gravity field parameters based on VS2008 platform. Finally it utilized EGM2008 gravity field model and measured GPS-leveling data to verify the reliability and efficiency of the algorithm and software.
出处
《测绘科学》
CSCD
北大核心
2014年第12期20-23,19,共5页
Science of Surveying and Mapping
基金
国家自然科学基金(41204007
41204008)
国家测绘地理信息局基础测绘科技项目-国家科技支撑计划课题(2012BAB16B01)
地理空间信息工程国家测绘地理信息局重点实验室开放基金(201309)
关键词
重力场
超高阶
勒让德函数
快速赋值
gravity field
ultra-high degree
Legendre function
fast assignment
