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

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Predictability, Stability, and Chaos in N-Body Dynamical Systems

Part of the book series: NATO ASI Series ((NSSB,volume 272))

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Abstract

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.

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© 1991 Plenum Press, New York

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Chauvineau, B. (1991). An Impulsional Method to Estimate the Long-Term Behaviour of a Perturbed System: Application to a Case of Planetary Dynamics. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_45

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_45

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5999-9

  • Online ISBN: 978-1-4684-5997-5

  • eBook Packages: Springer Book Archive

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