A variational approach to frozen planet orbits in helium

DOI10.4171/aihpc/46zbMath1528.70019arXiv2103.15485OpenAlexW3143826350MaRDI QIDQ6172267

Kai Cieliebak, Evgeny Volkov, Urs Adrian Frauenfelder

Publication date: 19 July 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15485

zbMATH Keywords

loop spacenonlocal potentialnonlocal HamiltonianHamiltonian delay equationnonlocal Legendre transformregularized action functional

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Atomic physics (81V45) Celestial mechanics (70F15) Collisions in celestial mechanics, regularization (70F16)

Related Items (3)

Shooting for collinear periodic orbits in the Helium model ⋮ Nondegeneracy and integral count of frozen planet orbits in helium ⋮ On doubly symmetric periodic orbits

Cites Work

• The regularized free fall. I: Index computations
• Floer homology and the heat flow
• Equivariant moduli problems, branched manifolds, and the Euler class
• Perturbed closed geodesics are periodic orbits: index and transversality
• Regularized variational principles for the perturbed Kepler problem
• Helium and Hamiltonian delay equations
• An Infinite Dimensional Version of Sard's Theorem
• A compactness theorem for Frozen planets

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