IGNORABLE COORDINATES AND STEADY MOTION IN CLASSICAL MECHANICS,

Abstract

It is shown, for a classical dynamical system with a Lagrangian, that the existence of an ignorable coordinate is equivalent to the vanishing of a certain Lie derivative. On this covariant description is based a new definition of steady motion. A definition given earlier by Synge is criticized. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 02, 1964
Accession Number
AD0616200

Entities

People

  • C. W. Kilmister
  • F. A. E. Pirani

Organizations

  • Brandeis University

Tags

DTIC Thesaurus Topics

  • Analytical Chemistry Techniques
  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Computational Chemistry Methods
  • Cooperation
  • Group Dynamics
  • Mechanics
  • Molecular Mechanics Methods

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.