Elena Kotevska Generalization Kernel for Geopotential Approximation by Harmonic Splines
992 - 998
2012
6
8
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/8514
http://waset.org/publications/68
World Academy of Science, Engineering and Technology
This paper presents a generalization kernel for gravitational
potential determination by harmonic splines. It was shown
in 10 that the gravitational potential can be approximated using a
kernel represented as a Newton integral over the real Earth body. On
the other side, the theory of geopotential approximation by harmonic
splines uses spherically oriented kernels. The purpose of this paper
is to show that in the spherical case both kernels have the same type
of representation, which leads us to conclusion that it is possible
to consider the kernel represented as a Newton integral over the real
Earth body as a kind of generalization of spherically harmonic kernels
to real geometries.
International Science Index 68, 2012