The exploration of exoplanets has emerged as a pivotal area of research in astrophysics, particularly in understanding their formation and evolution within the context of galaxy formation. This paper presents a comprehensive review of current methodologies for exoplanet detection and characterization, emphasizing the interplay between galactic dynamics and planetary systems. We introduce a novel approach that integrates numerical simulations with analytical models to investigate the influence of various galactic environments on exoplanet properties. Our findings reveal significant correlations between the characteristics of exoplanets and their host galaxies, providing insights into the conditions conducive to planetary formation. This study not only enhances our understanding of exoplanets but also contributes to the broader discourse on the evolution of galaxies and their stellar populations.