Radiation Effect on a Particle’s Periodic Orbits in a Regular Polygon Configuration of N Bodies

The photo-gravitational problems of two or more bodies have attracted much attention during the last decades. In this paper, radiation is considered as an additional factor influencing the particle motion in a regular polygon formation of N big bodies where the ν = Ν ? 1 primary bodies have equal masses and are located at the vertices of a regular polygon and the Nth primary has different mass and is located at the mass center of the system. We assume that some or all the primary bodies are radiation sources and we numerically explore various cases where symmetry of the resultant force field with respect to the same axis is preserved. For the purposes of our investigation we adopt Radzievski’s theory and assumptions. The material gathered helps us to estimate the radiation effect on the evolution of periodic orbits and their characteristics, such as their periods and their stability. Figures and diagrams illustrate these alterations and document our conclusions.