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Adiabatic invariants of the solar system and exo-planet systems and soliton-like disturbances of Alfvenic plasma proto-ring

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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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Authors and Affiliations

  1. Space Research Institute, Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia

    B. I. Rabinovich

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  1. B. I. Rabinovich
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Correspondence to B. I. Rabinovich.

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Original Russian Text © B.I. Rabinovich, 2010, published in Kosmicheskie Issledovaniya, 2010, Vol. 48, No. 2, pp. 141–152.

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Rabinovich, B.I. Adiabatic invariants of the solar system and exo-planet systems and soliton-like disturbances of Alfvenic plasma proto-ring. Cosmic Res 48, 139–149 (2010). https://doi.org/10.1134/S0010952510020036

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