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