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Singularly weighted symplectic forms and applications to asteroid motion

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Abstract

New techniques to study Hamiltonian systems with Hamiltonian forcing are proposed. They are based on singularly weighted symplectic forms and transformations which preserve these forms. Applications pertaining to asteroid motion are outlined. These involve the presence of both Jupiter and Saturn.

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Varadi, F., De La Barre, C.M., Kaula, W.M. et al. Singularly weighted symplectic forms and applications to asteroid motion. Celestial Mech Dyn Astr 62, 23–41 (1995). https://doi.org/10.1007/BF00692067

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  • DOI: https://doi.org/10.1007/BF00692067

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