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《Science of Surveying and Mapping》 2015-06
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The method for calculating the length ratio of Gauss projection based on parabolic fitting

LIU Yang;GAO Jing-xiang;WANG Jian;YAO Yi-fei;Key Laboratory for Land Environment and Disaster Monitoring,China University of Mining and Technology;  
In view of the traditional formula for calculating the length ratio of Gauss projection has the defects including higher degree,too many parameters and complex calculation procedure,this paper used parabolic fitting method to calculate the length ratio of Gauss projection.First,it was concluded that the length ratio of Gauss projection had a parabolic relation with the horizontal coordinates to the central meridian by the comprehensive analysis of the Gauss projection law.Then,the length ratio of Gauss projection was calculated based on the horizontal coordinate values of point to the central meridian in the Gauss plane coordinate system.Experimental results showed that the parabolic fitting method was simple with high accuracy,and the difference of the length ratio calculated by the traditional formula was at the order of one millionth magnitude throughout the zone of Gauss projection,which had certain reference value for the study on the improvement of Gauss projection length deformation and actual computation.
【Fund】: 国家自然科学基金项目(41074010);; 江苏高校优势学科建设工程项目(SZBF2011-6-B35);; 新世纪优秀人才支持计划项目(NCET-13-1019);; 校基本科研业务费项目创新人才科研基金项目(2013RC16)
【CateGory Index】: P282.1
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