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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/479093 |
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| _version_ | 1832555945926852608 |
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| author | Marco Rosales-Vera |
| author_facet | Marco Rosales-Vera |
| author_sort | Marco Rosales-Vera |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b37ab5ea6bae4770a75802790a996146 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b37ab5ea6bae4770a75802790a9961462025-02-03T05:46:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/479093479093Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long PeriodMarco Rosales-Vera0High Temperatures Department, Instituto de Innovación en Minería y Metalurgia, Ahumada 341, 8320181 Santiago, ChileThe 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.http://dx.doi.org/10.1155/2012/479093 |
| spellingShingle | Marco Rosales-Vera Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period Journal of Applied Mathematics |
| title | Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period |
| title_full | Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period |
| title_fullStr | Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period |
| title_full_unstemmed | Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period |
| title_short | Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period |
| title_sort | matched asymptotic expansions to the circular sitnikov problem with long period |
| url | http://dx.doi.org/10.1155/2012/479093 |
| work_keys_str_mv | AT marcorosalesvera matchedasymptoticexpansionstothecircularsitnikovproblemwithlongperiod |