位置:成果数据库 > 期刊 > 期刊详情页
Comparative study on two methods for calculating the gravitational potential of a prism
  • 时间:0
  • 分类:P223[天文地球—大地测量学与测量工程;天文地球—测绘科学与技术] O314[理学—一般力学与力学基础;理学—力学]
  • 作者机构:[1]School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan 430079, China, [2]State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, 129 Luoyu Road, Wuhan 430079, China, [3]Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, 129 Luoyu Road, Wuhan 430079, China
  • 相关基金:Supported by the National N alural Science Foundaliou of China (No.40637034, 40974015); the National 863 Program of China (No.2006AA12Z211).
  • 相关项目:确定高精度卫星重力模型和厘米级精度局部大地水准面及水文学时变重力效应的研究
中文摘要:

棱柱的重力的潜力的决心在物理测地学和地球物理起一个重要作用。然而,有很少文学,为决定棱柱的重力的潜力提供精确途径。分离元素方法能被用来决定棱柱的重力的潜力,并且能接近有足够的精确性的真重力的潜在的价值(每个元素越小,结果越精确) 。尽管 Nagys 途径提供了关上的表情,一个人不知道它是否是有效的,由于这条途径没在文学被证实的事实。在这份报纸,有分离元素方法的 Nagys 途径的比较上的研究被介绍。结果证明为决定棱柱的重力的潜力的 Nagys 公式在内并且在棱柱外面在领域是有效的。

英文摘要:

The determination of the gravitational potential of a prism plays an important role in physical geodesy and geophysics. However, there are few literatures that provide accurate approaches for determining the gravitational potential of a prism. Discrete element method can be used to determine the gravitational potential of a prism, and can approximate the true gravitational potential values with sufficient accuracy (the smaller each element is, the more accurate the result is). Although Nagy's approach provided a closed expression, one does not know whether it is valid, due to the fact that this approach has not been confirmed in literatures. In this paper, a study on the comparison of Nagy's approach with discrete element method is presented. The results show that Nagy's formulas for determining the gravitational potential of a prism are valid in the domain both inside and outside the prism.

同期刊论文项目
同项目期刊论文