Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period

The circular Sitnikov problem is revisited, using matched asymptotic expansions. In the case of large oscillation periods, approximate analytical expressions for the period and the orbit of the third body are found. The results are compared with those described in the literature and show that the mo...

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Bibliographic Details
Main Author: Marco Rosales-Vera
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/479093
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