New methods of isochrone mechanics

DOI10.1063/5.0056957zbMath1493.70003arXiv2104.05643OpenAlexW3213904567MaRDI QIDQ5015517

Jérôme Perez, Paul Ramond

Publication date: 9 December 2021

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

Full work available at URL: https://arxiv.org/abs/2104.05643

zbMATH Keywords

Birkhoff invariantsspherically symmetric potentialsisochrone potentials

Mathematics Subject Classification ID

Kinematics of a particle (70B05)

Related Items (1)

Isochrone spacetimes

Cites Work

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• Planetary Birkhoff normal forms
• Isochrony in 3D radial potentials. From Michel Hénon's ideas to isochrone relativity: classification, interpretation and applications
• The geometry of isochrone orbits: from Archimedes' parabolae to Kepler's third law
• On action-angle coordinates and the Poincaré coordinates
• Aspects of the planetary Birkhoff normal form
• Démonstration du ‘théorème d'Arnold’ sur la stabilité du système planétaire (d'après Herman)
• Sur le théorème de Bertrand (d'après Michael Herman)

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