Effects of Reflective and Luminous Behaviors on the Locations of Triangular Lagrangian Points in the Satellite–Proxima Centauri System with Variable Masses
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Abstract
This investigation unveils effects of reflective and luminosity tendencies of a binary star, Proxima Centauri on locations of the triangular Lagrangian points (TLPs) when Proxima is a radiating star and Centauri, though also radiating but possesses reflective mode. The masses and luminosities of the stars are assumed to change with time within the confines of the unified Meshchersky law and their dynamical frameworks are guided by the Gylden-Meshchersky model. We deduced the equations of motion and obtained the TLPs of both the time-variant and the time-invariant systems. It is observed that the locations and zero velocity curves are influenced by the reflective and luminous effects of the stars. This investigation enhances our understanding of the multifaceted gravitational and radiative forces in variable mass celestial systems, and are relevant in space missions where a satellite is launched in the gravitational environment of binary systems having a radiating and reflective behaviors with capricious masses.
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