
Accession Number : AD0708170
Title : THE TWOPOINT BOUNDARY VERSION OF THE PROBLEM OF TWO BODIES,
Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICAL AND INFORMATION SCIENCES LAB
Personal Author(s) : Deprit,Andre
Report Date : MAY 1970
Pagination or Media Count : 38
Abstract : HamiltonJacobi's equation for the problem of two bodies in bipolar coordinates is solved in closed form; Stumpff's transcendental functions are used to express a complete solution of it in a universal form. This characteristic function is shown to be the source of the analytical expressions necessary to solve the twopoint boundary version of the problem of two bodies. In particular, it establishes immediately Lambert's equation in its universal form. (Author)
Descriptors : (*NBODY PROBLEM, PARTIAL DIFFERENTIAL EQUATIONS), CELESTIAL MECHANICS, TRANSFORMATIONS(MATHEMATICS), BOUNDARY VALUE PROBLEMS, TRANSCENDENTAL FUNCTIONS, ORBITS
Subject Categories : Celestial Mechanics
Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE