Abstract
The accuracy of the well-known boundary condition with a radial derivative is improved up to 5×10−5 by means of a small change of the absolute term. A transformation of the condition by means of Dini's method makes it possible to pass to a condition associated with Dirichlet's problem for an auxiliary function which is harmonic outside the Earth's ellipsoid. A new method of the solution of Dirichlet's problem enables an integral equation with a small kernel to be obtained. Therefore, the solution of the integral equation can be obtained easily through iteration steps or even without iterations. The solution of the integral equation determines the disturbing potential and the mixed gravity anomaly outside of the ellipsoid.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
