Application of Large Ellipsoid Parameter Model in Long Linear Engineering

FENG Ligang; JIN Lixin; BIAN Shaofeng; LI Houpu

doi:10.13203/j.whugis20180133

Volume 45 Issue 2

Feb. 2020

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Geomatics and Information Science of Wuhan University > 2020 > 45(2): 219-225, 232. > DOI: 10.13203/j.whugis20180133

FENG Ligang, JIN Lixin, BIAN Shaofeng, LI Houpu. Application of Large Ellipsoid Parameter Model in Long Linear Engineering[J]. Geomatics and Information Science of Wuhan University, 2020, 45(2): 219-225, 232. DOI: 10.13203/j.whugis20180133

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Application of Large Ellipsoid Parameter Model in Long Linear Engineering

1.
Shanxi College of Communication Technology, Xi'an 710018, China
2.
China Railway First Survey and Design Institute Group Co. Ltd, Xi'an 710043, China
3.
General Engineering Survey Institute of Railways of Gansu, Lanzhou 730015, China
4.
Department of Navigation, Naval University of Engineering, Wuhan 430033, China

Funds:

The National Natural Science Foundation of China 41574009

The National Natural Science Foundation of China 41871376

the Outstanding Young Science Foundation of Hubei Province 2019CFA086

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Author Bio:
FENG Ligang, master, specializes in the theories and methods of geodesy and earth projection. E-mail:1426235296@qq.cm
Received Date: August 16, 2019
Published Date: February 04, 2020

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Abstract

Abstract

Aiming at the problem that Gauss projection in the line engineering project needs to be frequently strapped and has low precision when designing the plane construction drawing of the project, this paper proposes a large elliptical Gaussian projection of an elliptical line projecting from the ellipsoid elliptical line of the route for the new central meridian, and analyzes the parametric theoretical model of the elliptic ellipsoid. Firstly, it derives the meridian arc length formula by using the naturalized latitude instead of the geodetic latitude as a parameter. Secondly, according to the quadratic curve invariant theory, linear algebra, calculus and other knowledge, it deduces the model of solving the basic geometric parameters of the large ellipse ellipsoid with the plane equation coefficient as the parameter. Furthermore, a direct conversion model of the geodetic coordinates between the base ellipsoid and the large ellipse ellipsoid is deduced. Finally, based on some actual engineering data, the correctness and superiority of the theoretical model deduced in this paper are verified to be popularized in long-term projects.
- reduced latitude,
- geocentric latitude,
- parametric equation,
- large ellipse,
- Gauss-Kruger projection

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References (22)

References

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