Showing papers on "Elliptic coordinate system published in 1979"
TL;DR: In this paper, a multidimensional method of coordinate generation has been developed to match boundaries with coordinate surfaces and to control the manner in which other coordinate surfaces leave the boundaries, which is referred to as a multi-surface method.
113 citations
TL;DR: The Laplace equation is notu-separable for the rotation problem semi-orthogonal Roche coordinate system (n≠0, q=0) or the general problem (n ≥ 0, q ≥ 0) ifv andw are analytic functions of n and q and the coordinate system is proper in some region of then, q plane including the origin,n=q=0 (u is the Roche potential).
Abstract: The Laplace equation in the coordinatesu, v, w is calledu-separable if there are solutions of the formF(u)G(v, w). If the surfacesv = constant andw = constant are orthogonal tou = constant the coordinate system is called semi-orthogonal. The Laplace equation is notu-separable for the rotation problem semi-orthogonal Roche coordinate system (n≠0, q=0) or the general problem (n≠0, q≠0) ifv andw are analytic functions ofn andq and the coordinate system is proper in some region of then, q plane including the origin,n=q=0 (u is the Roche potential).
1 citations
1 citations