Application of Computer in Qualitative Studies of Celestial Mechanics

  • Lin Liu
  • Yi-Sui Sun
Conference paper

Abstract

The ordinary differential equations describing the motion of celestial bodies or other problems and the corresponding mappings are almost all non-integrable, very complicated nonlinear systems. For this reason, even in studying qualitatively some behaviours of simple dynamical models such as instabilities, chaos and asympototic regime we will encounter theoretical difficulties, as V.I. Arnold pointed out: “ The non-integrable problems of dynamics appear inaccessible to the tools of modern mathematics ”. Therefore, it is important to explore the behaviour of the above problems with a computer. In other words, a computer can be a laboratory for qualitative studies in celestial mechanics. This paper will present some examples on the applications of a computer in studies of dynamical systems related to celestial mechanics. It will be divided into two parts.

Keywords

Invariant Manifold Celestial Body Celestial Mechanic Orbital Resonance Theoretical Difficulty 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Lin Liu
    • 1
  • Yi-Sui Sun
    • 1
  1. 1.Department of AstronomyNanjing UniversityNanjingChina

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