EQUATIONS OF MOTION OF A DYNAMICAL SYSTEM OF PARTICLES.

Abstract

The equations of motion of a dynamical system are discussed in terms of the initial data. The point of view emphasized is that the initial data are explicitly time dependent constants of the motion, knowledge of which constitutes, implicitly, a complete solution of the equations. A general algorithm for constructing the set of constants in this form and from it, the complete solution, is given. The algorithm provides a complete, formal solution for the dynamical equations in terms of the Hamiltonian function. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0636063

Entities

People

  • A. L. Harvey

Organizations

  • Queens College

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Equations
  • Equations Of Motion
  • Hamiltonian Functions
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.