地形改正与地形直接影响的转化关系

发布时间：2018-08-06 08:41

【摘要】：传统的第三边值问题的解算方法有Molodensky算法和Stokes-Helmert算法两种。在Molodensky算法中使用的地形改正和Stokes-Helmert算法中使用的直接影响均由大地水准面外地形产生,因而必然存在关系。本文通过推导给出了直接影响是地形改正、层间改正与压缩地形影响3项之和的结论。在此基础上,给出了直接影响的质量线平面积分算法、质量棱柱平面积分算法和地形改正的球面积分算法。此外本文还推导了布格球冠层间改正算法。通过实验得出,直接影响的质量线平面积分算法和质量棱柱平面积分算法与传统球面积分算法的差异分别为3.81和1.64 m Gal;地形改正球面积分算法与传统质量线、质量棱柱平面积分的差异分别为3.92和1.69 m Gal。该结果说明,本文推导的直接影响与地形改正的关系式是正确有效且实用的。
[Abstract]:The traditional methods for solving third boundary value problems include the Molodensky algorithm and the Stokes-Helmert algorithm. The direct influence used in the terrain correction and the Stokes-Helmert algorithm used in the Molodensky algorithm is generated by the terrain outside the geoid, and therefore the relationship is inevitable. On this basis, the plane integral algorithm of the mass line, the plane integral algorithm of the mass prism and the spherical integral algorithm of the topographic correction are given on this basis. In addition, the interlayer correction algorithm of the Bouguer spherical crown is also derived. The plane integral of the quality line directly influenced by the experiment is obtained by the experiment. The difference between the algorithm and the quality prism plane integral algorithm and the traditional ball area algorithm is 3.81 and 1.64 m Gal respectively. The difference between the terrain correction ball area classification algorithm and the traditional quality line, the difference between the quality prism plane integral is 3.92 and 1.69 m Gal. respectively, and the results show that the relationship between the direct influence and the topographic correction is correct and effective, Economic.
【作者单位】：信息工程大学;地理信息工程国家重点实验室;西安测绘研究所;陆军航空兵学院;72515部队;
【基金】：国家自然科学基金项目(41674025;41674082) 地理信息工程国家重点实验室开放研究基金项目(SKLGIE2016-M-1-5)
【分类号】：P223.0

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