Application of Hamilton's law of varying action to the restricted three-body problem

DOI10.1007/BF01229512zbMath0452.70011MaRDI QIDQ3899560

David A. Levinson, Donald L. Hitzl

Publication date: 1980

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

restrictedHamilton's law of varying actionrestricted circular planar

Mathematics Subject Classification ID

Three-body problems (70F07) Applications to the sciences (65Z05) Celestial mechanics (70F15) Hamiltonian and Lagrangian mechanics (70H99)

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Dynamics and the calculus of variations ⋮ hp-version finite elements for the space-time domain ⋮ The application of Galerkin's method in Lagrangian dynamics ⋮ Nonlinear transient response and its sensitivity using finite elements in time ⋮ Non‐linear space‐time elasticity ⋮ Implementing Hamilton's law of varying action with shifted Legendre polynomials ⋮ Application of the integral variation method to satellite orbit prediction ⋮ Harmonic motion of nonconservative forced, damped systems subjected to nonpotential follower forces ⋮ Periodic orbits

Cites Work

• The method of Ritz applied to the equation of Hamilton
• Exact and direct analytical solutions to vibrating systems with discontinuities
• Application of Hamilton's law of varying action
• Hamilton, Ritz, and Elastodynamics