Accession Number : AD0606082

Title :   ENVELOPE OF ELLIPTIC TRAJECTORIES,

Corporate Author : TRW SPACE TECHNOLOGY LABS LOS ANGELES CALIF

Personal Author(s) : Lanzano,P.

Report Date : 15 AUG 1958

Pagination or Media Count : 8

Abstract : This report deals with some theoretical investigations on trajectories of the two-body problem in Celestial Mechanics. Specifically, consideration is given elliptic trajectories having the same attracting focus and corresponding to a fixed value of the total energy. The purpose of the report is twofold: (a) to find the envelope curve for the planar system of elliptic trajectories passing through a fixed point, (b) to determine which one of the two trajectories passing through two fixed points yields a 'strong' minimum for the action integral in the sense of the calculus of variations.

Descriptors :   (*CELESTIAL MECHANICS, TRAJECTORIES), (*TRAJECTORIES, CELESTIAL MECHANICS), CALCULUS OF VARIATIONS, INTEGRALS, PARTIAL DIFFERENTIAL EQUATIONS, ASTRONOMY, MECHANICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE