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Lagrangian points are critical equilibrium positions in celestial mechanics where gravitational and centrifugal forces balance, allowing small bodies to maintain a stable orbit. This study investigates the location and stability of these points under the influence of radiative forces. By employing mathematical modeling, the research derives expressions for collinear and triangular Lagrangian points and examines the effects of radiation pressure on their equilibrium positions. The results indicate that collinear points shift based on the radiation parameter, while the stability of triangular points is influenced by the system’s mass ratio. These findings provide insights into celestial navigation, satellite deployment, and space mission design, emphasizing the role of radiation pressure in modifying gravitational equilibrium. The study contributes to a deeper understanding of orbital mechanics and has practical implications for future space exploration missions.

Lagrangian points, celestial mechanics, radiation pressure, collinear points.