\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Invariant tori in the Sun--Jupiter--Saturn system

Abstract Related Papers Cited by
  • We discuss the applicability of Kolmogorov's theorem on existence of invariant tori to the real Sun-Jupiter-Saturn system. Using computer algebra, we construct a Kolmogorov's normal form defined in a neighborhood of the actual orbit in the phase space, giving a sharp evidence of the convergence of the algorithm. If not a rigorous proof, we consider our calculation as a strong indication that Kolmogorov's theorem applies to the motion of the two biggest planets of our solar system.
    Mathematics Subject Classification: Primary: 70F07; Secondary: 70F10, 37J40, 37N05, 70H08.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(133) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return