Gauge symmetry of the N-body problem in the Hamilton–Jacobi approach

DOI10.1063/1.1622447zbMath1063.70008arXivastro-ph/0305344OpenAlexW2118112321WikidataQ56852404 ScholiaQ56852404MaRDI QIDQ4833218

Peter Goldreich, Michael Efroimsky

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/astro-ph/0305344

zbMATH Keywords

canonical transformationLagrange equationDelaunay system

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Celestial mechanics (70F15) (n)-body problems (70F10) Lagrange's equations (70H03)

Related Items (14)

Planetary orbital equations in externally-perturbed systems: position and velocity-dependent forces ⋮ The theory of canonical perturbations applied to attitude dynamics and to the Earth rotation. Osculating and nonosculating Andoyer variables ⋮ Long-term evolution of orbits about a precessing oblate planet. II: The case of variable precession ⋮ Corrections stemming from the non-osculating character of the Andoyer variables used in the description of rotation of the elastic Earth ⋮ A note about certain arbitrariness in the solution of the homological equation in Deprit's method ⋮ Rotation of the elastic Earth: the role of the angular-velocity-dependence of the elasticity-caused perturbation ⋮ The Serret-Andoyer formalism in rigid-body dynamics. I. Symmetries and perturbations ⋮ A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876 ⋮ Analysis of \(J_2\)-perturbed motion using mean non-osculating orbital elements ⋮ Long-term evolution of orbits about a precessing oblate planet. I: The case of uniform precession ⋮ Modifications of the method of variation of parameters ⋮ Explicit evolution relations with orbital elements for eccentric, inclined, elliptic and hyperbolic restricted few-body problems ⋮ Gauge theory for finite-dimensional dynamical systems ⋮ Canonical modelling of relative spacecraft motion via epicyclic orbital elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Introduction to celestial mechanics

This page was built for publication: Gauge symmetry of the N-body problem in the Hamilton–Jacobi approach