Explore the fascinating world of celestial mechanics in this 25-minute video from Dot Physics that delves into the intricacies of the three-body problem. Discover the conditions necessary for three equal-mass planets to maintain stable circular orbits around a common center. Learn about the mathematical calculations and physical principles involved in determining the required velocity for these planets to remain in perfect equilibrium. Examine a Python code implementation that simulates this complex orbital system, providing a practical demonstration of the theoretical concepts. Gain insights into the challenges and solutions of modeling multi-body gravitational interactions, enhancing your understanding of orbital dynamics and computational physics.