非奇变换与地形校正中央区积分

详细信息

The Precise Evaluation of Terrain Corrections in Terms of the Non-singular Transform

Dept. of Geodesy, ZhengZhou Institute of Surveying and Mapping, 66 Central Loughai Road, Zhengzhou, 450052

摘要: 利用非奇变换,将地形校正诸奇异积分转化为一组非奇异积分。理论分析和数值计算都表明,奇异积分非奇异后,可有效地提高地形校正中央区积分的精确度。
- 地形校正 /
- 地球重力场 /
- 奇异积分
Abstract: The Paper presents a set of variable transform,or the non-singular transform,that can make the singular integrals of terrain corrections non-singular.The formulations and tests with analytic terrain representations and real terrain data in the paper illustrate surprisingly that the proposed variable transform in the paper is an efficient approach to the precise evaluation of terrain corrections.
- terrain corrections /
- the Earth's gravity field /
- singular integrals