测绘通报 ›› 2018, Vol. 0 ›› Issue (9): 103-107,147.doi: 10.13474/j.cnki.11-2246.2018.0289

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The Real Solution of Length Ratio and Meridians Convergence Based on Complex Function

JIN Lixin1,2, WEI Guihua2, XU Changwen2   

  1. 1. China Railway First Survey and Design Institute Group Ltd., Xi'an 710043, China;
    2. Gansu Railway Survey and Enginteering Institute Co. Ltd., Lanzhou 730000, China
  • Received:2017-11-14 Online:2018-09-25 Published:2018-09-29

Abstract:

On the basis complex function representation of Gauss projection,the definition and formula is given based on the complex reduced latitude.Secondly,based on the complex reduced latitude,the complex function representation is deduced about the length ratio and meridian convergence angle.Finally,the calculation formula is given about Gauss projection,get the real solution of length ratio and meridians convergence.Based on the complex function latitude,Gauss projection calculation accuracy is not limited by the projection zonewidth and has a certain improvement for Gauss projection theory.

Key words: Gauss projection, meridians convergence, length ratio, conformal latitude of complex function, pedal latitude of complex function, reduced latitude of complex function

CLC Number: