Matched asymptotic expansions to the circular Sitnikov problem with long period
type: Item
instance of: scholarly article
title: Matched asymptotic expansions to the circular Sitnikov problem with long period
zbMATH Open document ID: 1264.70031
DOI: 10.1155/2012/479093
author: Marco Rosales-Vera
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: 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 movement of the third body can be well described by two analytical solutions, the inner and outer solutions.
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 6169916
Wikidata QID: Q58905953
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/479093
OpenAlex ID: W2114804495
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DBLP publication ID: journals/jam/Rosales-Vera12
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description: scientific article; zbMATH DE number 6169916