Accession Number:

AD0606082

Title:

ENVELOPE OF ELLIPTIC TRAJECTORIES,

Descriptive Note:

Corporate Author:

TRW SPACE TECHNOLOGY LABS LOS ANGELES CALIF

Personal Author(s):

Report Date:

1958-08-15

Pagination or Media Count:

8.0

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.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE