Calculation method of oblique axis gaussian projection based on equal length of geodesic

A technology of Gaussian projection and calculation method, which is applied in the direction of calculation, complex mathematical operation, design optimization/simulation, etc. It can solve problems such as the length projection deformation of the coordinate system of the long line project, shorten the survey and design cycle, and achieve huge economic and social benefits. , to ensure the effect of accuracy

Active Publication Date: 2019-02-15
CHINA RAILWAY FIRST SURVEY & DESIGN INST GRP
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Problems solved by technology

[0004] The purpose of the present invention is to provide a calculation method based on the oblique-axis Gaussian projection of the same length of the geodetic line, which meets the restrictions on the projection deformation of the rai...

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  • Calculation method of oblique axis gaussian projection based on equal length of geodesic
  • Calculation method of oblique axis gaussian projection based on equal length of geodesic
  • Calculation method of oblique axis gaussian projection based on equal length of geodesic

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Embodiment Construction

[0016] The present invention will be described in detail below in combination with specific embodiments.

[0017] The invention relates to an oblique-axis Gaussian projection calculation method based on geodetic equal lengths. The basic idea is to use a certain geodetic line as the central meridian, project it into a straight line, and keep the length constant, so that the oblique-axis Gaussian projection in the true sense can be realized. The direction of the central meridian is basically consistent with the extension direction of the line, that is, the central meridian is transferred from the north-south meridian to any geodetic axis that is not north of South Africa. The elongated measuring area is concentrated vertically near the axis of the geode, the projected deformation along the extension direction of the center line of the line is close to zero, and the horizontal distance of the point farthest from the geode is not very large in the direction of the vertical line. A...

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Abstract

The invention relates to an oblique axis Gaussian projection calculation method based on the equal length of a geodetic line, wherein a certain geodetic line is taken as a central meridian, projectedas a straight line, the length is kept constant, and the oblique axis Gaussian projection is realized. At the same time, it is agreed that the oblique Gaussian projection satisfies three basic conditions: the oblique Gaussian projection is a conformal projection, that is, an isometric projection; The geodesic line is a straight line after projection, and it is the symmetry axis of projection. Thelength remains unchanged after the geodesic line is projected. A line of earth is envisage as a central meridian, project as a straight line, With the help of geodetic-like latitude, normalized-like latitude, isometric-like latitude and isometric-like latitude, the hypothesis of geodetic mapping ellipse is put forward and proved. On the basis of the hypothesis, the expression of geodetic arc length and the complex and real formulas of oblique axis Gaussian projection based on a geodetic equilength are deduced. The real oblique axis Gaussian projection is realized and the deformation of lengthprojection is solved.

Description

technical field [0001] The invention belongs to the technical field of establishment of a length projection deformed coordinate system and coordinate conversion, and in particular relates to an oblique-axis Gaussian projection calculation method based on geodetic equal lengths. Background technique [0002] In recent years, the construction of high-speed railway passenger dedicated lines has been carried out on a large scale. "Specifications for High-Speed ​​Railway Engineering Survey" (TB10601-2009) stipulates: "The plane coordinate system of high-speed railway engineering measurement should adopt the independent coordinate system of the project, and the projected length deformation value of the coordinate system on the corresponding track surface design elevation plane should not be greater than 10mm / km". Among them, the project independent coordinate system in clause 2.1.1: the planar rectangular coordinate system established by using any central meridian and elevation ...

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Application Information

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IPC IPC(8): G06F17/14G06F17/50
CPCG06F17/147G06F30/20
Inventor 金立新付宏平刘为民边少锋李厚朴陈成
Owner CHINA RAILWAY FIRST SURVEY & DESIGN INST GRP
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