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Calculation of the second vertical derivative of gravity field

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Summary

Two formulas, using Taylor's series expansion method, have been developed by means of which the second vertical derivative of gravity field may be computed at any point in the horizontal plane of observation. A comparative study of the resolving powers of different approaches by performing numerical and filter response tests suggests that the formulas provide a definite improvement over many existing methods.

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NGRI Contribution No. 69-130.

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Agarwal, B.N.P., Lal, T. Calculation of the second vertical derivative of gravity field. PAGEOPH 76, 5–16 (1969). https://doi.org/10.1007/BF00877833

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Keywords

  • Series Expansion
  • Horizontal Plane
  • Gravity Field
  • Expansion Method
  • Response Test