Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt
This paper examines the effects of radiation pressure and triaxiality of two stars (primaries) surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinitesimal mass in the neighbourhood of collinear libration points in the framework of elliptic restricted t...
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Format: | Article |
Language: | English |
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Elsevier
2021-03-01
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Series: | Heliyon |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844021006782 |
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author | Jagadish Singh Ndaman Isah |
author_facet | Jagadish Singh Ndaman Isah |
author_sort | Jagadish Singh |
collection | DOAJ |
description | This paper examines the effects of radiation pressure and triaxiality of two stars (primaries) surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinitesimal mass in the neighbourhood of collinear libration points in the framework of elliptic restricted three body problem (ER3BP).We have found the solutions to the location of collinear points Li (i = 1,2,3).We have investigated these collinear points numerically and graphically using radiating binary system (FL virginis and Procyon).The positions and stability of these points are found to be affected by triaxiality, radiation and the gravitational potential from the belt. The collinear libration points are found to be unstable. |
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format | Article |
id | doaj.art-dbc38392a3f74967ab341e2aade801c0 |
institution | Directory Open Access Journal |
issn | 2405-8440 |
language | English |
last_indexed | 2024-12-24T11:14:26Z |
publishDate | 2021-03-01 |
publisher | Elsevier |
record_format | Article |
series | Heliyon |
spelling | doaj.art-dbc38392a3f74967ab341e2aade801c02022-12-21T16:58:26ZengElsevierHeliyon2405-84402021-03-0173e06575Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the beltJagadish Singh0Ndaman Isah1Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, NigeriaDepartment of Mathematics, Niger State College of Education, Minna, Nigeria; Corresponding author.This paper examines the effects of radiation pressure and triaxiality of two stars (primaries) surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinitesimal mass in the neighbourhood of collinear libration points in the framework of elliptic restricted three body problem (ER3BP).We have found the solutions to the location of collinear points Li (i = 1,2,3).We have investigated these collinear points numerically and graphically using radiating binary system (FL virginis and Procyon).The positions and stability of these points are found to be affected by triaxiality, radiation and the gravitational potential from the belt. The collinear libration points are found to be unstable.http://www.sciencedirect.com/science/article/pii/S2405844021006782ER3BPTriaxialityRadiationCircumbinary discStabilityCollinear points |
spellingShingle | Jagadish Singh Ndaman Isah Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt Heliyon ER3BP Triaxiality Radiation Circumbinary disc Stability Collinear points |
title | Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt |
title_full | Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt |
title_fullStr | Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt |
title_full_unstemmed | Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt |
title_short | Collinear libration points in the elliptic restricted three body problem (ER3BP) under radiating and triaxial primaries with gravitational potential from the belt |
title_sort | collinear libration points in the elliptic restricted three body problem er3bp under radiating and triaxial primaries with gravitational potential from the belt |
topic | ER3BP Triaxiality Radiation Circumbinary disc Stability Collinear points |
url | http://www.sciencedirect.com/science/article/pii/S2405844021006782 |
work_keys_str_mv | AT jagadishsingh collinearlibrationpointsintheellipticrestrictedthreebodyproblemer3bpunderradiatingandtriaxialprimarieswithgravitationalpotentialfromthebelt AT ndamanisah collinearlibrationpointsintheellipticrestrictedthreebodyproblemer3bpunderradiatingandtriaxialprimarieswithgravitationalpotentialfromthebelt |