Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt
The present paper deals with the study of the motion’s properties of the infinitesimal variable mass body moving in the same orbital plan as two massive bodies (considered as primaries). It is assumed that the massive bodies have radiating effects, have oblate shapes, and are moving in circular orbi...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2020/6684728 |
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| author | Ferdaous Bouaziz-Kellil |
| author_facet | Ferdaous Bouaziz-Kellil |
| author_sort | Ferdaous Bouaziz-Kellil |
| collection | DOAJ |
| description | The present paper deals with the study of the motion’s properties of the infinitesimal variable mass body moving in the same orbital plan as two massive bodies (considered as primaries). It is assumed that the massive bodies have radiating effects, have oblate shapes, and are moving in circular orbits around their common center of mass. Using the procedures established by Singh and Abouelmagd, we determined the equations of motion of the infinitesimal body for which we assumed that under the effects of radiation and oblateness of the primaries, its mass varies following Jean’s law. We evaluated analytically and numerically the locations of equilibrium points and examined the stability of these equilibrium points. Finally, we found that all the points are unstable. |
| format | Article |
| id | doaj-art-7ca9c438794f45b78d1c644e3cc97934 |
| institution | Kabale University |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-7ca9c438794f45b78d1c644e3cc979342025-02-03T01:03:57ZengWileyAdvances in Astronomy1687-79691687-79772020-01-01202010.1155/2020/66847286684728Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids BeltFerdaous Bouaziz-Kellil0Department of Mathematics, College of Science and Arts, Qassim University, Buraydah, Saudi ArabiaThe present paper deals with the study of the motion’s properties of the infinitesimal variable mass body moving in the same orbital plan as two massive bodies (considered as primaries). It is assumed that the massive bodies have radiating effects, have oblate shapes, and are moving in circular orbits around their common center of mass. Using the procedures established by Singh and Abouelmagd, we determined the equations of motion of the infinitesimal body for which we assumed that under the effects of radiation and oblateness of the primaries, its mass varies following Jean’s law. We evaluated analytically and numerically the locations of equilibrium points and examined the stability of these equilibrium points. Finally, we found that all the points are unstable.http://dx.doi.org/10.1155/2020/6684728 |
| spellingShingle | Ferdaous Bouaziz-Kellil Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt Advances in Astronomy |
| title | Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt |
| title_full | Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt |
| title_fullStr | Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt |
| title_full_unstemmed | Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt |
| title_short | Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt |
| title_sort | motion of the infinitesimal variable mass in the generalized circular restricted three body problem under the effect of asteroids belt |
| url | http://dx.doi.org/10.1155/2020/6684728 |
| work_keys_str_mv | AT ferdaousbouazizkellil motionoftheinfinitesimalvariablemassinthegeneralizedcircularrestrictedthreebodyproblemundertheeffectofasteroidsbelt |