Stability of Motions Around Non-Collinear Points in The Photogravitational Er3bp: Impact of a Circumbinary Disc on Tv Crateris
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Keywords

Elliptic Restricted Three-Body Problem, Binary Systems, Celestial Mechanics, Photogravitational, Potential from a disc

How to Cite

Stability of Motions Around Non-Collinear Points in The Photogravitational Er3bp: Impact of a Circumbinary Disc on Tv Crateris. (2025). KASU JOURNAL OF MATHEMATICAL SCIENCE (Maths Access), 2(1), Page 116-130. https://mathsaccess.org.ng/index.php/kjms/article/view/42

Abstract

In this communication, the effect of an additional gravitational potential from a circumbinary disc of gaseous dust particles on the non-collinear points of the photogravitational elliptic restricted three-body problem is examined. The triangular points of the problem when both luminous primaries move in elliptic orbits around their common barycenter and are surrounded by a circumbinary disc are found to exhibit the peculiar property of shifting towards the origin, with a decrease in the radiation pressure factors  and  towards the line joining the primaries with increase in the potential from the disc. In an important finding, the added perturbation due to the disc is found to have a stabilizing effect, as is evident from the critical mass parameter . The binary system (HD 98800 B) TV Crateris in the constellation Crater which has both stellar primaries surrounded by a disc provides a perfect model for this dynamic system.

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