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Study of the Normal Variational Equation in an Homogeneous Field of Degree Five

Published online by Cambridge University Press:  12 April 2016

A. Makhlouf  and
N. Debbah
A. Makhlouf
Affiliation:
Institute of mathematics, BP 12 El-Hadhar, University of Annaba, Algeria
N. Debbah
Affiliation:
Institute of mathematics, BP 12 El-Hadhar, University of Annaba, Algeria

Extract

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We study the normal variational equation of degree five:

where λ is a parameter and C 5(t) verifies

The solution C 5(t) of (1.2) is the inverse function of

We prove that the pole t 5 of C 5(t) defined by is given by

where

Information

Type
Extended Abstracts
Information
International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 459 - 460
Copyright
Copyright © Kluwer 1999

References

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