Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries
This work deals with the nonlinear stability of the elliptical restricted three-body problem with oblate and radiating primaries and the oblate infinitesimal. The stability has been analyzed for the resonance cases around ω1=2ω2 and ω1=3ω2 and also the nonresonance cases. It was observed that the mo...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2019/9480764 |
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| author | A. Narayan A. Chakraborty A. Dewangan |
| author_facet | A. Narayan A. Chakraborty A. Dewangan |
| author_sort | A. Narayan |
| collection | DOAJ |
| description | This work deals with the nonlinear stability of the elliptical restricted three-body problem with oblate and radiating primaries and the oblate infinitesimal. The stability has been analyzed for the resonance cases around ω1=2ω2 and ω1=3ω2 and also the nonresonance cases. It was observed that the motion of the infinitesimal in this system shows instable behavior when considered in the third order resonance. However, for the fourth order resonance the stability is shown for some mass parameters. The motion in the case of nonresonance was found to be unstable. The problem has been numerically applied to study the movement of the infinitesimal around two binary systems, Luyten-726 and Sirius. |
| format | Article |
| id | doaj-art-f3448b774c2642e19bd7bb97bbd8428a |
| institution | Kabale University |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-f3448b774c2642e19bd7bb97bbd8428a2025-02-03T01:26:48ZengWileyAdvances in Astronomy1687-79691687-79772019-01-01201910.1155/2019/94807649480764Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating PrimariesA. Narayan0A. Chakraborty1A. Dewangan2Bhilai Institute of Technology, Durg, C. G. 491001, IndiaBhilai Institute of Technology, Durg, C. G. 491001, IndiaResearch Scholar under the Project Approved by CCOST, Endt. no.2260/CCOST/MRP/2015, IndiaThis work deals with the nonlinear stability of the elliptical restricted three-body problem with oblate and radiating primaries and the oblate infinitesimal. The stability has been analyzed for the resonance cases around ω1=2ω2 and ω1=3ω2 and also the nonresonance cases. It was observed that the motion of the infinitesimal in this system shows instable behavior when considered in the third order resonance. However, for the fourth order resonance the stability is shown for some mass parameters. The motion in the case of nonresonance was found to be unstable. The problem has been numerically applied to study the movement of the infinitesimal around two binary systems, Luyten-726 and Sirius.http://dx.doi.org/10.1155/2019/9480764 |
| spellingShingle | A. Narayan A. Chakraborty A. Dewangan Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries Advances in Astronomy |
| title | Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries |
| title_full | Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries |
| title_fullStr | Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries |
| title_full_unstemmed | Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries |
| title_short | Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries |
| title_sort | nonlinear stability of oblate infinitesimal in elliptic restricted three body problem influenced by the oblate and radiating primaries |
| url | http://dx.doi.org/10.1155/2019/9480764 |
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