Motion around the Triangular Equilibrium Points in the Circular Restricted Three-Body Problem under Triaxial Luminous Primaries with Poynting-Robertson Drag

Singh, Jagadish; Simeon, Ayas Mungu

doi:10.18052/www.scipress.com/IFSL.12.1

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International Frontier Science Letters

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Motion around the Triangular Equilibrium Points in the Circular Restricted Three-Body Problem under Triaxial Luminous Primaries with Poynting-Robertson Drag
Stability Analysis of a Biological Model of a Marine Resources Allowing Density Dependent Migration

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Motion around the Triangular Equilibrium Points in the Circular Restricted Three-Body Problem under Triaxial Luminous Primaries with Poynting-Robertson Drag

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Abstract:

This paper explores the motion of an infinitesimal body around the triangular equilibrium points in the framework of circular restricted three-body problem (CR3BP) with the postulation that the primaries are triaxial rigid bodies, radiating in nature and are also under the influence of Poynting–Robertson (P-R) drag. We study the linear stability of these triangular points and for the numerical application, the binary stars Kruger 60 (AB) and Archird have been considered. These triangular points are not only perceived to move towards the line joining the primaries in the direction of the bigger primary with increasing triaxiality, they are also unstable owing to the destabilizing influence of P-R drag.

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Periodical:

International Frontier Science Letters (Volume 12)

Pages:

1-21

DOI:

https://doi.org/10.18052/www.scipress.com/IFSL.12.1

Citation:

J. Singh and A. M. Simeon, "Motion around the Triangular Equilibrium Points in the Circular Restricted Three-Body Problem under Triaxial Luminous Primaries with Poynting-Robertson Drag", International Frontier Science Letters, Vol. 12, pp. 1-21, 2017

Online since:

August 2017

Authors:

Jagadish Singh, Ayas Mungu Simeon

Keywords:

Celestial Mechanics, CR3BP, Equilibrium Points, P-R Drag, Radiation Pressure, Triaxiaity

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