A practical software package for computing gravimetric geoid by the least squares modification of Hotine’s formula
A practical software package for computing gravimetric geoid by the least squares modification of Hotine’s formula
复制标题
Hotine公式最小二乘修正计算重力大地水准面实用软件包
DOI：
10.1007/s12145-021-00713-3
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发表时间：
2021
影响因子：
2.8
通讯作者：
A. Ustun
中科院分区：
文献类型：
--
作者：
R. A. Abbak;A. Ellmann;A. Ustun
现今的大地测量界开始建立一个精确的重力大地水准面在5毫米的水平，这完全满足所有的技术和地球科学研究的需求。在这种情况下，多年来已经出版了各种大地水准面建模方法，每种方法都有自己的原理。近年来，利用Hotine公式的最小二乘修正（LSMH）建立了一种新的大地水准面模型，其结果比其它方法更为合理。然而，一个实用的和紧凑的软件包是不公开访问的研究人员在这种方法。因此，一个名为“LSMHSOFT”的科学软件包是由C编程语言开发，并提供给公众使用，在这项研究中。随后，该软件被用于奥弗涅试验台的重力大地水准面合成，并通过GNSS（全球导航卫星系统）水准测量数据进行验证。数值结果表明，LSMHSOFT是一个强大的工具，模拟重力大地水准面的最小二乘修正的Hotine的公式和它的附加校正。
Today’s geodetic community starts to model an accurate gravimetric geoid within a 5 mm level, which entirely meets the demands of all technical and geoscientific studies. In this context, a wide range of geoid modelling methods have been published through the years, each of them has its own philosophy. Recently, a new geoid modelling technique has been developed by using the least squares modification of Hotine’s formula (LSMH), which gives more reasonable results than other methods. However, a practical and compact software package is not publicly accessible for researchers in this method. Thus, a scientific software package named “LSMHSOFT” is developed by C programming language and made available for public use in this study. Subsequently, the software is employed for the composition of gravimetric geoid in the Auvergne test-bed, verifying it by GNSS (Global Navigation Satellite Systems)-levelling data. Numerical results indicate that LSMHSOFT is a powerful tool for modelling gravimetric geoid by the least squares modification of Hotine’s formula and its additive corrections.