Dynamical Simulations of Kovalevskaya's Top in the Neighborhoods of the Equilibrium Points

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Other Title
  • コワレフスカヤのこまの平衡点近傍における動的シミュレーション

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Description

Stability conditions and equilibrium points of the Kovalevskaya's top are decided by equilibrium point analysis of the non-dimensional Euler's equation. Two parameters which regulate an amount of disturbance of initial value are introduced into the angular velocities of the equilibrium points, because two harmonic oscillations exist near them. Then, non-dimensional Hamilton's canonical equations which are not separable, and their initial conditions are derived. The symplectic method is adopted for numerical integration followed by a compensation process. It modifies the values of the canonical variables so as to cancel the errors of the Hamiltonian only. Error of the Kovalevskaya integral is automatically controlled.<br>

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Details 詳細情報について

  • CRID
    1390282680278019968
  • NII Article ID
    130004544061
  • DOI
    10.11308/tjsst.5.36
  • ISSN
    18835058
    18835031
  • Text Lang
    en
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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