Accession Number : AD0439214


Title :   MOTION IN THE VICINITY OF THE TRIANGULAR LIBRATION CENTERS,


Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH


Personal Author(s) : Deprit,Andre


Report Date : Oct 1963


Pagination or Media Count : 42


Abstract : For the planar restricted problem of three bodies in the neighborhood of triangular equilbrium, angle coordinates and action moments are derived, which normalize the second order part of the Hamiltonian function. Consequently, short and long period elliptic oscillations of the first order can be extended into two families of periodic motions that exhibit the Dalembert characteristic, except for a denumerable set of critical mass ratios for which the long period librations are in resonance with the short period oscillations. For the Sun-Jupiter and EarthMoon systems, terms up to the third order with regard to the orbital parameter have been computed and checked for the Fourier series of both families of periodic orbits. (Author)


Descriptors :   *N BODY PROBLEM , MOTION , TABLES(DATA) , NUMERICAL METHODS AND PROCEDURES , FOURIER ANALYSIS , SERIES(MATHEMATICS) , ORBITS , OSCILLATION , SUN , JUPITER(PLANET) , EARTH(PLANET) , MOON , POWER SERIES


Distribution Statement : APPROVED FOR PUBLIC RELEASE