Ponderomotive Force and Gyromotion

The following sections are included:

• Ponderomotive-like Forces

  • Intuitive Treatment

  • Introducing the Asymptotic Scaling

  • Using the Kruskal-like Perturbation Method

  • Obtaining the Action to First Order

• Some Comments on Perturbation Calculations

• 2D Gyromotion via the New Kruskal-like Method

  • The Four Components of R₁

  • The Four Components of R₂

  • Summary of the Calculation

• The Hamiltonian Structure of Gyromotion

  • The Poisson Bracket

  • The Symplectic Structure

  • Uniqueness of the Generator for a Vector Field

  • Comparison With Robert Littlejohn’s Results

  • Prospects for a Fully Hamiltonian Theory