Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries
The mass variation effect of the test particle is studied in the collinear restricted four-body configuration with the assumption that the shapes of the three primary bodies are triaxial. It is assumed that these three primary bodies are placed in consecutive order on the abscissa axis and their axe...
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Damghan university
2024-12-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
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| Online Access: | https://ijaa.du.ac.ir/article_447_91bfe6c357bb1804f3e6f8ecd5ad0d65.pdf |
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| author | Abdullah Abdullah Rabah Kellil |
| author_facet | Abdullah Abdullah Rabah Kellil |
| author_sort | Abdullah Abdullah |
| collection | DOAJ |
| description | The mass variation effect of the test particle is studied in the collinear restricted four-body configuration with the assumption that the shapes of the three primary bodies are triaxial. It is assumed that these three primary bodies are placed in consecutive order on the abscissa axis and their axes are always parallel to the synodic ones. We also consider that the central body have solar radiation effect and whole the system is affected by Coriolis as well as centrifugal forces. Under these assumptions and using Jeans’ law, the equations of motion and quasi-Jacobian integral are determined. And hence the locations of parking points, Poincaré surfaces of section, surfaces with projection and basins of attractions are illustrated for the various values of the variation parameters .$\mu, \phi_1 , \phi_2 ,T_{11} , T_{21} , T_{31} , T_{12} , T_{22} , T_{32} , T_{13} , T_{23} , T_{33}$. Further-more the stability of the parking points are examined in the in-plane as well as in the out-of-plane. |
| format | Article |
| id | doaj-art-7adf56c3727c43289d68c756caad6166 |
| institution | Kabale University |
| issn | 2322-4924 2383-403X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Damghan university |
| record_format | Article |
| series | Iranian Journal of Astronomy and Astrophysics |
| spelling | doaj-art-7adf56c3727c43289d68c756caad61662025-01-12T09:59:31ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2024-12-0111215516710.22128/ijaa.2024.834.1184447Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial PrimariesAbdullah Abdullah0Rabah Kellil1Dyal Singh College, University of Delhi, Delhi, IndiaAbbes Laghrour UniversityThe mass variation effect of the test particle is studied in the collinear restricted four-body configuration with the assumption that the shapes of the three primary bodies are triaxial. It is assumed that these three primary bodies are placed in consecutive order on the abscissa axis and their axes are always parallel to the synodic ones. We also consider that the central body have solar radiation effect and whole the system is affected by Coriolis as well as centrifugal forces. Under these assumptions and using Jeans’ law, the equations of motion and quasi-Jacobian integral are determined. And hence the locations of parking points, Poincaré surfaces of section, surfaces with projection and basins of attractions are illustrated for the various values of the variation parameters .$\mu, \phi_1 , \phi_2 ,T_{11} , T_{21} , T_{31} , T_{12} , T_{22} , T_{32} , T_{13} , T_{23} , T_{33}$. Further-more the stability of the parking points are examined in the in-plane as well as in the out-of-plane.https://ijaa.du.ac.ir/article_447_91bfe6c357bb1804f3e6f8ecd5ad0d65.pdfmass variation effecttriaxial bodiesparking pointsprojections |
| spellingShingle | Abdullah Abdullah Rabah Kellil Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries Iranian Journal of Astronomy and Astrophysics mass variation effect triaxial bodies parking points projections |
| title | Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries |
| title_full | Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries |
| title_fullStr | Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries |
| title_full_unstemmed | Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries |
| title_short | Variable Mass of the Test Particle in the Collinear 4-Body System with Triaxial Primaries |
| title_sort | variable mass of the test particle in the collinear 4 body system with triaxial primaries |
| topic | mass variation effect triaxial bodies parking points projections |
| url | https://ijaa.du.ac.ir/article_447_91bfe6c357bb1804f3e6f8ecd5ad0d65.pdf |
| work_keys_str_mv | AT abdullahabdullah variablemassofthetestparticleinthecollinear4bodysystemwithtriaxialprimaries AT rabahkellil variablemassofthetestparticleinthecollinear4bodysystemwithtriaxialprimaries |