Astrophysics and Space Science

, Volume 266, Issue 4, pp 557–567 | Cite as

Simple Simulation of Solar System

  • Jan Vrbik


The article presents a simple derivation of a set of approximate formulas for the rate of change of orbital elements of a planet, perturbed by a time-averaged gravitational force due to the remaining planets of the solar system. The corresponding set of differential equations for long-time development of planetary orbits is then numerically integrated and the results are shown to be consistent with Milankovitch theory of climatic cycles.


Solar System Orbital Element Planetary Orbit Climatic Cycle Simple Simulation 
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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Jan Vrbik
    • 1
  1. 1.Department of MathematicsBrock UniversitySt. CatharinesCanada

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