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SHI Guo-you, ZHAO Qing-tao, WANG Yu-mei, JIA Chuan-ying. Improved algorithm for inverse solution of Bessel's geodetic problem[J]. Journal of Traffic and Transportation Engineering, 2009, 9(1): 77-82. doi: 10.19818/j.cnki.1671-1637.2009.01.016
Citation: SHI Guo-you, ZHAO Qing-tao, WANG Yu-mei, JIA Chuan-ying. Improved algorithm for inverse solution of Bessel's geodetic problem[J]. Journal of Traffic and Transportation Engineering, 2009, 9(1): 77-82. doi: 10.19818/j.cnki.1671-1637.2009.01.016
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Improved algorithm for inverse solution of Bessel's geodetic problem

doi: 10.19818/j.cnki.1671-1637.2009.01.016
  • 1.

    School of Navigation, Dalian Maritime University, Dalian 116026, Liaoning, China

  • 2.

    Department of Security Technology, Qingdao Port(Group) Limited Company, Qingdao 266011, Shandong, China

More Information
  • Author Bio:

    SHI Guo-you (1969-), male, associate professor, PhD, +86-411-84727953, shiguoyoudmu@163.com

  • Received Date: 2008-10-12
  • Publish Date: 2009-02-25
    Abstract
  • In order solve the nonuniform algorithms of Bessel's inverse problem and the application restrictions of the algorithms, sine and cosine theories based on sphere triangle and Lagrange series theory were analyzed, and an improved arithmetic of differential correction for the direct inverse solution of geodetic problem was put forward by using computer algebra system. Simulation result shows that the improved algorithm is suitable for the arbitrarily special situations without iterative calculations, and has high accuracy of 0.000 1 s when geodetic length is less than 20 000 km. The azimuth multiple-valued corresponding problem in the solution of trigonometric equation is solved. The improved algorithm is also suitable for the program implementation without generality loss, and can be applied in the area of ocean geodetic line sailing computation.

     

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    • References(11)
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