Jacobian Variational Principles and the Equivalence of Second Order Systems.

Abstract

Two systems of differential equations are said to be equivalent if the trajectories of one coincide with the trajectories of the other modulo a transformation of indepent (time) variable. The equivalence of second order systems is discussed, and the results obtained are used a derive a variational principle for the plane restricted three-body problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 05, 1972
Accession Number
AD0742362

Entities

People

  • William R. Gordon

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Trajectories
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis