Explore the fundamental principles of planetary orbits in this 32-minute video from the World Science Festival's "Your Daily Equation" series. Delve into Newton's law of gravitation and its role in determining planetary trajectories, while uncovering the connections to Kepler's patterns of planetary motion. Gain insights into conic sections and the dimensionality of space as Brian Greene breaks down complex concepts into accessible explanations. Learn about escape velocity and the interplay between space and time in planetary motion. Discover how these scientific principles shape our understanding of Earth and other celestial bodies, even if your mathematical background is limited.