Research On Application Of Oblique Axis Gaussian Projection In Long And Large Linear Engineering

Firstly,this paper discusses the background and significance of the study of the oblique-axis ellipsoidal Gaussian projection theory,and explains the defects in the isometric projection(Gaussian projection)of the elliptical column on the horizontal axis.The main sources of error in projection distortion and the methods used to control projective deformation in engineering are analyzed.The application status of Gauss Projection in the long-term line project is briefly described,as well as the basic theoretical knowledge of geodetics.Secondly,the paper deeply analyzes the ellipsoid transformation theory and the theory of the ellipsoid Gaussian projection model,and introduces the geodetic differential formula to analyze the ellipsoid transformation theory to make its content more perfect.The significance of the parameters represented by the parametric ellipsoidal Gaussian projection model transformation of the coordinate of the spatial coordinate is described and the achieved effect.Combined with an example,the superiority of the Gauss projected ellipsoidal Gaussian projection in controlling long-term project control network data is verified.Again,the paper focuses on the elliptical Gaussian projection model of large elliptical lines,and the research of elliptical elliptical spheres is divided into three aspects.In the first aspect,a linear least-squares formula is used to solve the normal vector of a large ellipse.According to the Lagrangian multiplier method in the nonlinear optimization method,the optimal value of the nonlinear equation is solved.Then according to the law of coordinate rotation,the orthonormal matrix of the coordinate conversion of the scented space is determined,so as to obtain the ellipsoid parameters such as the geometric parameter of the ellipse and the latitude and longitude of the earth.In the second aspect,the meridian arc length formula and the coefficient of the large elliptic plane equation are represented by the parameters of the naturalized latitude and the latitude of the center of the sphere.According to the quadratic curve invariant theory,the standard equation of large ellipses is determined,the elliptical ellipse geometric parameters is accordingly obtained.Then the relationship between the latitude and longitude of the ellipse and the latitude and longitude of the basic reference ellipsoid are deduced from the coefficients of the large elliptic plane equation.In the third aspect,the elliptical deformation model of large elliptical lines is derived by combining the deformation method in the ellipsoid transformation theory.Finally,this paper deals with the data of the control points of the survey area of a railway line under construction through three methods(Gauss projection method,method intercept method,large oval method).Based on the solution results of these four methods,the effects of various methods of controlling the projection deformation are analyzed and compared in depth.