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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Main Authors: Jagadish Singh, Ndaman Isah
Format: Article
Language:English
Published: Elsevier 2021-03-01
Series:Heliyon
Subjects:
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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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
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