当前位置: X-MOL 学术Gyroscopy Navig. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Modeling of Quasigeoid Heights in the Earth’s Local Surface Areas Based on the Results of the Expansion in a Generalized Fourier Series
Gyroscopy and Navigation Pub Date : 2021-06-25 , DOI: 10.1134/s2075108721010065
V. F. Kanushin , I. G. Ganagina , D. N. Goldobin

Abstract

Two methods of modeling quasigeoid heights specified discretely in the Earth’s local surface areas using generalized Fourier series are considered. The first method involves modeling of the Earth gravitational field characteristics on a plane; it makes use of a two-dimensional Fourier transform in an orthonormal set of trigonometric functions. The second method implies the expansion of quasigeoid heights in a Fourier series in an orthonormal set of spherical functions on the Earth’s local surface area. The errors in the approximation of the discrete values of the quasigeoid heights obtained within a local area are analyzed. It is shown that with the current state of computer technology, expansion of quasigeoid heights in a Fourier series in an orthonormal set of spherical functions is an accurate and technologically simple method for modeling of quasigeoid heights.



中文翻译:

基于广义傅立叶级数展开结果的地球局部表面准地平线高度建模

摘要

考虑使用广义傅立叶级数对在地球局部表面区域中离散指定的准地球表面高度进行建模的两种方法。第一种方法涉及在平面上对地球重力场特性进行建模;它在三角函数的正交集合中使用二维傅里叶变换。第二种方法意味着在地球局部表面区域的一组正交球面函数中的傅立叶级数中准类地面高度的扩展。分析了在局部区域内获得的准地球水准面高度离散值的近似误差。它表明,以目前的计算机技术状态,

更新日期:2021-06-25
down
wechat
bug