ON THE NUMERICAL SOLUTION OF MOLODENSKII'S INTEGRAL EQUATION FOR LAYER DENSITY (K Voprosu o Chislennom Reshenii Integralnogo Uraveniya Molodenskogo dlya Plotnosti Sloya),
Abstract
A method of successive approximations is described for numerical solution of Molodenskiy's integral equation for the density of a simple layer on the earth's physical surface. The layer density in the first approximation is defined by formula. The corresponding approximations of the quasigeoid height and plumbline deflections are given in formulas. Further approximations of the density and of the mentioned values are derived from formulas. In the first approximation, Molodenskiy's formulas for the numerical solution of the equation can be obtained without using the auxiliary x function. By so doing, one of Brovar's corrections becomes unnecessary in the solution with relative error on the order of the earth's flattening. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1969
- Accession Number
- AD0697628
Entities
People
- V. F. Eremeev
Organizations
- Aeronautical Chart and Information Center