A MEISSL-MODIFIED VANICEK AND KLEUSBERG KERNEL TO REDUCE THE TRUNCATION ERROR IN GRAVIMETRIC GEOID COMPUTATIONS

A deterministic modification of Stokes's integration kernel is present ed which. reduces the truncation error when regional gravity data are used in conjunction with a global geopotential model to compute a grav imetric geoid. The modification makes use of a combination of two exis ting modifications from Vanicek and Kleusberg and Meissl, The former m odification applies a root mean square minimisation to the upper bound of the truncation error, whilst the fatter causes the Fourier series expansion of the truncation error to coverage to zero more rapidly by setting the kernel to zero at the truncation radius. Green's second id entity is used to demonstrate that the truncation error converges to z ero faster when a Meissl-type modification is made to the Vanicek and Kleusberg kernel, A special case of this modification if proposed by c hoosing the degree of modification and integration cap-size such that the Vanicek and Kleusberg kernel passes through zero at the truncation radius.