利用Poisson积分推导Hotine函数及Hotine公式应用问题

基金项目: 国家自然科学基金资助项目(40174004)

详细信息

Derivation of Hotine Function Using Poisson Integral and Application of Hotine Formula

School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, China, 430079

摘要: 给出一种直接利用改进的Poisson积分确定Hotine函数的推导,其中不包括函数的零阶和一阶项。讨论了Hotine公式在陆地和海洋局部重力场逼近中的应用问题。
- 改进的Poisson积分 /
- Hotine积分 /
- 核函数
Abstract: This paper presents an approach to directly use the modified Poisson integral to derive Hotine function in which those harmonic terms are excluded.Finally,the application of Hotine formula to a local gravity field approximation over land or ocean areas is discussed.
- modified Poisson integral /
- Hotine integral /
- kernel function