ENVELOPE OF ELLIPTIC TRAJECTORIES,

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.

Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1958
Accession Number
AD0606082

Entities

People

  • P. Lanzano

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Celestial Mechanics
  • Integrals
  • Mathematics
  • Mechanics
  • Orbital Mechanics
  • Orbits
  • Trajectories

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.