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GAK-1陀螺经纬仪在不同经纬度地区定向研究OA

Orientation research of GAK-1 gyrotheodolite in different latitude and longitude regions

中文摘要英文摘要

陀螺定向测量作为保障地下工程贯通中的重要环节,其中由大地坐标计算子午线收敛角的过程,因牵扯参数过多且需要数次迭代,计算尤为繁琐复杂,给现场工程应用增添较大难度.采用的子午线收敛角系数法较好地解决了这一问题,以GAK-1型陀螺经纬仪结合逆转点法确定精密定向,对陀螺定向中的各方位角几何关系进行分析,并解析不同象限的直角坐标求取坐标方位角,结合收敛角系数表给出不同经纬度地区子午线收敛角计算公式,并结合工程实例对定向测量结果进行分析.结果表明,同一仪器在不同经纬度矿区测量时仪器常数相对稳定,不同经纬度矿区对于子午线收敛角影响很大.

Gyroscopic orientation survey,as an important link in ensuring the continuity of underground engineering,involves calculating the convergence angle of meridian from geodetic coordinates.Due to the involvement of too many parameters and the need for multiple iterations,the calculation is particularly cumbersome and complex,which adds great difficulty to on-site engineering applications.The a-dopted meridian convergence angle coefficient method effectively solves this problem.Precise orientation was determined by combining the GAK-1 gyrotheodolite with the reversal point method,and the geometric relationships among various azimuth angles in gyroscopic o-rientation were analyzed.The Cartesian coordinates of different quadrants were analyzed to obtain the coordinate azimuth angle,the cal-culation formula for the meridian convergence angle in different latitudinal and longitudinal regions was provided based on the conver-gence angle coefficient table,and the directional measurement results were analyzed with an engineering example.The results indicate that the instrument constant is relatively stable when measuring in different latitude and longitude mining areas,and different latitude and longitude mining areas have a significant impact on meridian convergence angle.

相涛;许章平;郑祖美;武博文;刘春晓

山东省水利勘测设计院有限公司,山东济南 250013烟台中集集鑫海工装备有限公司,山东烟台 264003齐鲁工业大学(山东省科学院)机械工程学院,山东济南 250353||山东省机械设计研究院,山东济南 250353山东省水利勘测设计院有限公司,山东济南 250013山东省水利勘测设计院有限公司,山东济南 250013

天文与地球科学

陀螺定向陀螺经纬仪逆转点法子午线收敛角坐标方位角

gyroscopic orientationgyrotheodolitereversal point methodmeridian convergence anglecoordinate azimuth angle

《煤炭科技》 2026 (2)

13-16,21,5

山东省自然科学基金项目(ZR2023QA082)齐鲁工业大学(山东省科学院)人才科研项目(2023RCKY117)

10.19896/j.cnki.mtkj.2026.02.003

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