Climate change represents one of the most significant global challenges of the twenty-first century, motivating the investigation of innovative approaches capable of complementing conventional greenhouse gas mitigation strategies. Among the various geoengineering concepts proposed in recent decades, Space-Based Solar Radiation Management (SB-SRM) has emerged as a potential long-term solution aimed at reducing the amount of solar radiation reaching the Earth through dedicated space infrastructures. This thesis investigates the potential application of Deployable Reflective Membrane Arrays as a candidate architecture for Space-Based Solar Radiation Management operating near the Sun--Earth L1 Lagrange point. The work begins with an overview of space sails and deployable membrane technologies, including solar sails, solar power sails, electric sails, magnetic sails, drag sails, deployable membrane antennas, and other large-area membrane systems.