Thermodynamical and orbital analysis around quantum-corrected Reissner–Nordström black hole surrounded by Kiselev spacetime

This work explores the trajectories of test particles moving around a charged Black Hole subject to quantum corrections. The gravitational background follows a Reissner–Nordström configuration embedded in a Kiselev spacetime. Using the effective potential formalism, circular orbits in equatorial plane are analyzed. Analytical form of conserved energy and angular momentum are derived. The study identifies the location of innermost stable circular orbits and investigates the effective force. Additionally oscillations near the equatorial plane are examined to compute the radial, vertical and orbital frequencies as well as the periastron precession frequency. The overall results show that the model parameter significantly affect the evolution of test particle motion with in the gravitational field. In addition to the dynamical analysis, the thermodynamics behavior of the Black Hole is also examined. We study the profile of mass, temperature, specific heat and energy emission. This helps us how the model parameters affect thermal stability and radiation. Overall, the model remains thermodynamically consistent.