Implementing Hamilton's law of varying action with shifted Legendre polynomials

DOI10.1016/0021-9991(80)90052-2zbMath0452.70020OpenAlexW2032376519MaRDI QIDQ1148709

Donald L. Hitzl

Publication date: 1980

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90052-2

zbMATH Keywords

shifted Legendre polynomialsimplementing Hamilton's law of varying actionlightly damped harmonic oscillator

Mathematics Subject Classification ID

Three-body problems (70F07) Applications to the sciences (65Z05) Hamiltonian and Lagrangian mechanics (70H99) Free motions in linear vibration theory (70J30)

Related Items (5)

Dynamics and the calculus of variations ⋮ The application of Galerkin's method in Lagrangian dynamics ⋮ Non‐linear space‐time elasticity ⋮ Application of the integral variation method to satellite orbit prediction ⋮ Harmonic motion of nonconservative forced, damped systems subjected to nonpotential follower forces

Cites Work

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• Application of Hamilton's law of varying action to the restricted three-body problem
• Application of Hamilton's law of varying action
• Generating Orbits for Stable Close Encounter Periodic Solutions of the Restricted Problem
• The stability of second species periodic orbits in the restricted problem (μ = 0)
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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