Application of symmetries to central force problems

DOI10.1023/A:1008317327402zbMath0990.70008OpenAlexW22827448WikidataQ54216172 ScholiaQ54216172MaRDI QIDQ1566996

F. Vawda, F. M. Mahomed

Publication date: 5 August 2002

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008317327402

zbMATH Keywords

second-order differential equationNoether's theoremsymmetry analysiscentral force problemintegrable orbit equationsLie's classification of subalgebrastwo-dimensional Lie algebra

Mathematics Subject Classification ID

Two-body problems (70F05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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