Volume 38 Issue 3
May  2018
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Article Navigation >  Chinese Journal of Space Science  > 2018  >  38(3): 418-426
FENG Jinkai, WANG Qingbin, HUANG Jiaxi, ZHANG Chao, FAN Diao. Construction of Regional Point Mass Model in Polar Regions[J]. Chinese Journal of Space Science, 2018, 38(3): 418-426. doi: 10.11728/cjss2018.03.418
Citation: FENG Jinkai, WANG Qingbin, HUANG Jiaxi, ZHANG Chao, FAN Diao. Construction of Regional Point Mass Model in Polar Regions[J]. Chinese Journal of Space Science, 2018, 38(3): 418-426. doi: 10.11728/cjss2018.03.418
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Construction of Regional Point Mass Model in Polar Regions

doi: 10.11728/cjss2018.03.418

  • Institute of Geospatial Information, Information Engineering University, Zhengzhou 450001

  • Received Date: 2017-05-03
  • Rev Recd Date: 2018-03-09
  • Publish Date: 2018-05-15
    Abstract
  • In the traditional polar coordinate system, the latitude and longitude grids will undergo serious deformation in the polar regions. This deformation will cause the design matrix of point-mass model equation unsolvable, and the spherical harmonic method is singular near the two polar points. In this paper, the singularity problem in the calculation of disturbing gravity and the instability problem during the construction of point mass model in polar regions is studied. The singularity elimination algorithm is introduced in spherical harmonic method and the construction of point mass model based on pole transform is proposed. Numerical experiment results show that the singularity elimination algorithm can effectively solve the singularity problem near the poles, and the structure of point mass model based on the pole transform method is stable and the model can achieve the same accuracy compared with the traditional one, which provides a new way for disturbing gravity fast calculation of polar region aircraft.

     

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