• Estimation of the size of the solar system and its spatial dynamics using Sundman inequality

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    • Keywords


      Moment of inertia of the solar system; Sundman inequality; Lagrange–Jacobi relation; tidal interactions.

    • Abstract


      The essential development of a new mathematical ansatz for estimating the size of the solar system with help of Sundman inequality via Lagrange–Jacobi relation has been implemented in this research. Mean size R of the solar system has been estimated using Sundman inequality at the expanding scenario of the solar system (with existing planets’ configuration) for the obtained partial class of solutions for this type of differential inequality by assuming constant total angular momentum for the entire dynamical configuration. The obvious physically reasonable assumption is that the solar system will increase its size during evolution in the future (due to losses of the total angular momentum via tidal interactions), albeit we can assume the compressing scenario.

    • Author Affiliations



      1. Plekhanov Russian University of Economics, Scopus number 60030998, Moscow, Russia
      2. Sternberg Astronomical Institute, M.V. Lomonosov’s Moscow State University, 13 Universitetskij Prospect, Moscow, Russia 119992
      3. Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
    • Dates

  • Pramana – Journal of Physics | News

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