Accession Number : AD0708170

Title :   THE TWO-POINT 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 : Hamilton-Jacobi'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 two-point boundary version of the problem of two bodies. In particular, it establishes immediately Lambert's equation in its universal form. (Author)

Descriptors :   (*N-BODY 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