Abstract
The 2∶2∶1-resonance case for a potential problem with three degrees of freedom is characterized by the existence of two isolating approximate integrals apart from the energy. This result completes a statement by Gustavson concerning the number of formal integrals in resonant Hamiltonian systems.
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References
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Martinet, L., Magnenat, P. & Verhulst, F. On the number of isolating integrals in resonant systems with 3 degrees of freedom. Celestial Mechanics 25, 93–99 (1981). https://doi.org/10.1007/BF01301811
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DOI: https://doi.org/10.1007/BF01301811