Variational minimizing solutions for the 2-fixed center problems

DOI10.1016/j.jmaa.2005.01.016zbMath1318.70007OpenAlexW1995364239MaRDI QIDQ2484290

Hong Shen

Publication date: 1 August 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.016

zbMATH Keywords

variational methodstwo fixed center problem

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Celestial mechanics (70F15)

Cites Work

• Unnamed Item
• The principle of symmetric criticality
• Non-integrability of the generalized two fixed centres problem
• The two fixed centers: an exceptional integrable system
• On quasi-integrable problems. The example of the artificial satellites perturbed by the Earth's zonal harmonics
• A Minimizing Property of Keplerian Orbits
• Geometric characterizations for variational minimization solutions of the 3-body problem