Adiabatic invariants of the solar system and exo-planet systems and soliton-like disturbances of Alfvenic plasma proto-ring |
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| Authors: | B I Rabinovich |
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| Institution: | (1) Royal Observatory of Belgium, Brussel, Belgium;(2) Space Research Institute, Austrian Academy of Sciences, Graz, Austria;(3) Polar Geophysical Institute (PGI), Russian Academy of Sciences, Apatity, Russia;(4) Observatoire de Paris, Paris, France;(5) DLR, Berlin, Germany;(6) Space Research Institute, Moscow, Russia;(7) Institut de Physique du Globe de Paris, Paris, France |
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| Abstract: | Some new results are presented concerning quantization of observed parameters of the Solar System and exo-planet systems,
as well as some functions of these parameters. General adiabatic invariants are introduced including (for the Solar System)
orbital quantum numbers of planets and quantum numbers characterizing their proper rotation (spin). The quantization of parameters
relating to satellite and exo-planetary systems is considered. Some arguments are presented about the influence of nonlinear
disturbances of Alfvenic plasma proto-ring of the type of Frenkel-Kontorova (FK) and Russell-Korteweg-de Vries (KdV) solitons
on formation of elite rings and their evolution with conservation of corresponding invariants. A mechanical model is synthesized
that describes nonlinear FK soliton type disturbances of magnetized plasma. |
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