On the number of isolating integrals in resonant systems with 3 degrees of freedom |
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| Authors: | L. Martinet P. Magnenat F. Verhulst |
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| Affiliation: | (1) Geneva Observatory and ESO, Switzerland;(2) Geneva Observatory, Switzerland;(3) Mathematisch Instituut, Rijksuniversiteit Utrecht, 3508 TA Utrecht, The Netherlands |
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| Abstract: | The 2 21-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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