Levitating Orbitron: Grid Computing

  • Stanislav S. Zub
  • N. I. Lyashko
  • S. I. Lyashko
  • Andrii Yu. Cherniavskyi
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 754)


Mathematical model of interaction for magnetic symmetric top (i.e. a rigid body and magnetic dipole simultaneously) in external magnetic field under uniform gravitational field is presented. Numerical modeling of the top dynamics, i.e. spinning and rotating around the axis of symmetry in axially-symmetric magnetic field is proposed. Investigation of the dynamics in some neighborhood of a given relative equilibrium for physically reasonable parameters of the system was required to generate a set of random trajectories (Monte-Carlo simulation) with small variations of parameters or initial conditions. More than 1000 of trajectories with 100 turns for each have been tested using grid computing on Grid-clusters of Ukrainian Academic Grid. The motion was limited in certain region for the trajectories with disturbed initial conditions and parameters within 1%. Executed analysis shows the possibility of stable motions and levitation in some neighborhood of a given relative equilibrium. It corresponds to the long trajectories observed in a physical experiment.


Orbitron magnetic levitation Symmetric top Grid computation 


  1. 1.
    Zub, S.S.: Stable orbital motion of magnetic dipole in the field of permanent magnets. Physica D 275, 67–73 (2014)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Kozorez, V.V.: Dynamic Systems of Free Magnetically Interacting Bodies. Naukova dumka, Kyiv (1981)Google Scholar
  3. 3.
    Simon, M.D., Heflinger, L.O., Geim, A.K.: Diamagnetically stabilized magnet levitation. Am. J. Phys. 6(69), 702–713 (2001)CrossRefGoogle Scholar
  4. 4.
    Zub, S.S.: Magnetic levitation in orbitron system. Probl. At. Sci. Technol. 5(93), 31–34 (2014)Google Scholar
  5. 5.
    Agarwal, M., Srivastava, G.M.S.: Cloud computing: a paradigm shift in the way of computing. Int. J. Mod. Educ. Comput. Sci. (IJMECS) 9(12), 38–48 (2017). Scholar
  6. 6.
    Fotohi, R., Effatparvar, M.: A cluster based job scheduling algorithm for grid computing. Int. J. Inf. Technol. Comput. Sci. (IJITCS) 5(12), 70–77 (2013). Scholar
  7. 7.
    Thomas, M.V., Dhole, A., Chandrasekaran, K.: Single sign-on in cloud federation using CloudSim. Int. J. Comput. Netw. Inf. Secur. (IJCNIS) 7(6), 50–58 (2015). CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Taras Shevchenko Kyiv National UniversityKyivUkraine
  2. 2.V.M. Glushkov Institute of CyberneticsKyivUkraine
  3. 3.National Aerospace University “Kharkiv Aviation Institute”KharkivUkraine

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