Accession Number : AD0651147

Title :   THE TROJAN MANIFOLD IN THE SYSTEM EARTH-MOON,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Deprit,A. ; Henrard,Jacques ; Palmore,Julian ; Price,J. F.

Report Date : FEB 1967

Pagination or Media Count : 51

Abstract : The Trojan manifold is defined as the analytical manifold of periodic orbits which contains the triangular equilibrium L4 as a singularity. Identification of the Earth-Moon system is made to a planar Restricted Problem of Three Bodies. The barycentric synodical coordinate system and the units of length, time and mass are chosen as defined by Wintner; the mass ratio is taken equal to about 0.012150. For this value, the triangular configuration of equilibrium, usually denoted by L4, is stable, and it generates two natural families of periodic orbits. (Author)

Descriptors :   (*CELESTIAL MECHANICS, *MATHEMATICAL ANALYSIS), EARTH(PLANET), MOON, PERIODIC VARIATIONS, NUMERICAL INTEGRATION, NUMERICAL ANALYSIS, THEORY, EQUILIBRIUM(PHYSIOLOGY), ORBITS

Subject Categories : Celestial Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE