International Conference on Mechanical Engineering and Technology (ICMET-London 2011)
161 The Innermost Area Calculation of the Inverse Stokes Formula in Altimetry Gravity Inversion
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For improving the precision of the altimetry gravity calculated by the inverse Stokes formula, the non-singular transformation is introduced to solve singular integral problem in the inverse Stokes formula when the geoidal height of the innermost area is expressed as double cubic polynomial, and a formula to calculate gravity anomaly of this area is derived. The singular integral formula deduced in this paper has a high precision based on theoretical model analysis. Computation is carried out on a test area, which consists of 1201120 geoidal height data with a resolution of 2′12′, the results illustrate that the contribution of the innermost area to the gravity anomaly inversion can not be ignored. Formulas derived in this paper can provide theoretical basis for the gravity anomaly inversion with high precision.