The Sitnikov problem investigation with the method of multiple scales

DOI10.1007/S40995-017-0180-6zbMath1397.70019OpenAlexW2595421845MaRDI QIDQ1787812

Ali Dehghan Manshadi, Mojtaba Dehghan Manshadi

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0180-6

zbMATH Keywords

perturbation techniquethe method of multiple scalesSitnikov equation

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Perturbation theory of linear operators (47A55) Celestial mechanics (70F15) Perturbations of nonlinear operators (47H14)

Cites Work

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• A high order perturbation analysis of the Sitnikov problem
• A new method to construct integrable approximations to nearly integrable systems in Celestial mechanics: application to the Sitnikov problem
• An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem
• A new analytic approach to the Sitnikov problem
• Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability
• Solution of the Sitnikov problem
• On the Sitnikov problem
• Nonlinear Response of a Taut String to Longitudinal and Transverse End Excitation
• The structure of the extended phase space of the Sitnikov problem

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