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Geoid Innermost Area Effects Calculation Using Stokes Integral
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Xiaoyan GENG1, Hui ZHAO1, *, Xinwei GUO1, Jingjuan MENG1, Wenchao WANG1
Journal of Geodesy and Geodynamics | 2026, 46(4) : 481 - 486
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Journal of Geodesy and Geodynamics | 2026, 46(4): 481-486
Geoid Innermost Area Effects Calculation Using Stokes Integral
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Xiaoyan GENG1, Hui ZHAO1, *, Xinwei GUO1, Jingjuan MENG1, Wenchao WANG1
Affiliations
  • 1 Geodetic Data Processing Center, MNR, Xi'an 710054, China
Published: 2026-04-15 doi: 10.14075/j.jgg.2025.04.136
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To analyze the differences of different singular integral methods in geoid calculation using Stokes integral, based on the traditional methods using circular approximation and biquadratic polynomial interpolation, we derive a de-singularized method for Stokes integral within the integration radius. The results show that when the innermost area is selected as the single grid where the calculation point is located, the accuracy of traditional method and biquadratic polynomial interpolation method are similar, and the de-singularized method has been improved using the point kernel numerical integration. The mean kernel numerical integration can improve the calculation accuracy of traditional method and biquadratic polynomial interpolation method, while the de-singularized method is not significant.

Stokes integral  /  geoid  /  innermost area effects  /  singular integral
耿晓燕, 赵辉, 郭鑫伟, 孟静娟, 王文超. Stokes积分计算大地水准面中央区效应分析. 大地测量与地球动力学, 2026 , 46 (4) : 481 -486 . DOI: 10.14075/j.jgg.2025.04.136
Xiaoyan GENG, Hui ZHAO, Xinwei GUO, Jingjuan MENG, Wenchao WANG. Geoid Innermost Area Effects Calculation Using Stokes Integral[J]. Journal of Geodesy and Geodynamics, 2026 , 46 (4) : 481 -486 . DOI: 10.14075/j.jgg.2025.04.136
Year 2026 volume 46 Issue 4
41
16
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doi: 10.14075/j.jgg.2025.04.136
  • Receive Date:2025-04-23
  • Online Date:2026-10-29
  • Published:2026-04-15
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  • Received:2025-04-23
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    1 Geodetic Data Processing Center, MNR, Xi'an 710054, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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