
Accession Number : AD0688245
Title : THE ROCHE COORDINATES AND THEIR USE IN CELESTIAL MECHANICS OR HYDRODYNAMICS,
Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
Personal Author(s) : Kopal,Zdenek
Report Date : APR 1969
Pagination or Media Count : 52
Abstract : The air of the report will be to introduce a new system of curvilinear coordinateshereafter referred to as Roche coordinatesin which spheres of constant radius are replaced by equipotential surfaces of a rotating gravitational dipole (which consists of two discrete points of finite mass, revolving around their common center of gravity); while the remaining coordinates are orthogonal to the equipotentials. It will be shown that the use of such coordinates offers a new method of approach to the solution of certain problems of particle dynamics (such as, for instance, the construction of certain types of trajectories in the restricted problem of three bodies); as well as of the hydrodynamics of gas streams in close binary systems, in which the equipotential surfaces of their components distorted by axial rotation and mutual tidal interaction constitute essential boundary conditions. (Author)
Descriptors : (*NBODY PROBLEM, TRANSFORMATIONS(MATHEMATICS)), (*HYDRODYNAMICS, EQUATIONS), POTENTIAL THEORY, EQUATIONS OF MOTION, GRAVITY, DIFFERENTIAL EQUATIONS, GEOMETRY
Subject Categories : Celestial Mechanics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE