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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 C5(t) verifies

The solution C5(t) of (1.2) is the inverse function of

We prove that the pole t5 of C5(t) defined by is given by

where

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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