An Impulsional Method to Estimate the Long-Term Behaviour of a Perturbed System: Application to a Case of Planetary Dynamics

  • Bertrand Chauvineau
Part of the NATO ASI Series book series (NSSB, volume 272)


This paper aims to present a method to investigate the long term evolution of a perturbed system. The unperturbed system is supposed to possess an integral of the form:
$${\dot{r}^{2}} + h\left( r \right)$$
and the perturbation to be time-dependant. The results are compared to direct analytical and numerical computations in the case of a perturbed harmonic oscillator. Then, it is shown how this method applies to the lifetime of a binary asteroid perturbed by Jupiter.


Solar System Harmonic Oscillator Term Evolution Unperturbed System Precise Evolution 
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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Bertrand Chauvineau
    • 1
  1. 1.Observatoire de la Côte d’AzurGrasseFrance

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