Explore a comprehensive lecture from the ICTP-SAIFR Program on "Fundamental Physics meets Current and Future Facilities in Cosmology" where Northwestern University researcher Alexander Edison delves into the effective field theory descriptions of gravitating binary systems. Gain advanced insights into the theoretical framework used to describe the dynamics and interactions of binary star systems through the lens of effective field theory. During this 66-minute presentation, examine the mathematical and physical principles that govern gravitational interactions between binary objects, understanding their implications for both theoretical physics and observational astronomy. Learn how effective field theory serves as a powerful tool for modeling complex gravitational systems and its applications in modern astrophysical research.