Construction of librational invariant tori in the spin-orbit problem
Spin-orbit resonance problems are investigated for the synchronous (1:1) case, using Hamiltonian dynamics. Transformations, Birkhoff's normalization and the application of KAM theory show the existence of librational tori. The two applications studied are the Earth-Moon system and the Saturn-Rhea system. Once again the Earth-Moon mathematical stability condition does not meet the physical situation, but in the case of the Saturn-Rhea system the proper trapping tori can be constructed according to the existing physical parameters.
scientific article; zbMATH DE number 513157