Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem
In this paper, under the effects of the largest primary radiation pressure, the elliptic restricted four-body problem is formulated in Hamiltonian form. Moreover, the canonical equations are obtained which are considered as the equations of motion. The Lagrangian points within the frame of the ellip...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5842193 |
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| author | Sahar H. Younis M. N. Ismail Ghada F. Mohamdien A. H. Ibrahiem |
| author_facet | Sahar H. Younis M. N. Ismail Ghada F. Mohamdien A. H. Ibrahiem |
| author_sort | Sahar H. Younis |
| collection | DOAJ |
| description | In this paper, under the effects of the largest primary radiation pressure, the elliptic restricted four-body problem is formulated in Hamiltonian form. Moreover, the canonical equations are obtained which are considered as the equations of motion. The Lagrangian points within the frame of the elliptic restricted four-body problem are obtained. The true anomalies are considered as independent variables. An analytical and numerical approach had been used. A code of Mathematica version 12 is constructed to truncate these considerations and is applied on the Earth-Moon-Sun system. In addition, the stability and periodicity of the motion about the equilibrium points are studied by using the Poincare maps. The motion about the collinear point L2 is presented as an example for the obtained results, and some families of periodic orbits are presented. |
| format | Article |
| id | doaj-art-66792020e7f849bba31fbd7c405b2494 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-66792020e7f849bba31fbd7c405b24942025-02-03T01:20:13ZengWileyJournal of Applied Mathematics1687-00422021-01-01202110.1155/2021/5842193Effects of Radiation Pressure on the Elliptic Restricted Four-Body ProblemSahar H. Younis0M. N. Ismail1Ghada F. Mohamdien2A. H. Ibrahiem3Mathematics Dep.Astronomy and Meteorology Dep.National Research Institute of Astronomy and Geophysics (NRIAG)Astronomy and Meteorology Dep.In this paper, under the effects of the largest primary radiation pressure, the elliptic restricted four-body problem is formulated in Hamiltonian form. Moreover, the canonical equations are obtained which are considered as the equations of motion. The Lagrangian points within the frame of the elliptic restricted four-body problem are obtained. The true anomalies are considered as independent variables. An analytical and numerical approach had been used. A code of Mathematica version 12 is constructed to truncate these considerations and is applied on the Earth-Moon-Sun system. In addition, the stability and periodicity of the motion about the equilibrium points are studied by using the Poincare maps. The motion about the collinear point L2 is presented as an example for the obtained results, and some families of periodic orbits are presented.http://dx.doi.org/10.1155/2021/5842193 |
| spellingShingle | Sahar H. Younis M. N. Ismail Ghada F. Mohamdien A. H. Ibrahiem Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem Journal of Applied Mathematics |
| title | Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem |
| title_full | Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem |
| title_fullStr | Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem |
| title_full_unstemmed | Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem |
| title_short | Effects of Radiation Pressure on the Elliptic Restricted Four-Body Problem |
| title_sort | effects of radiation pressure on the elliptic restricted four body problem |
| url | http://dx.doi.org/10.1155/2021/5842193 |
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