By engaging with all the videos within this series, you will effectively complete a full undergraduate course in astronomy, equipping yourself with the knowledge and skills necessary to navigate the night sky with confidence, learning all the basics and many advanced topics! Now, we examine the Milky Way’s rotation and the intriguing discovery of dark matter. After analyzing the Milky Way’s spiral arms, we ask: How fast is the Milky Way rotating? This question goes back to Isaac Newton and Nicolaus Copernicus’ heliocentric model. Newton’s laws of motion and gravity explain galaxy rotational dynamics. Examining the Milky Way’s rotation curves reveals something peculiar. Using Doppler shifts to measure gas and star speeds, we observe that the inner parts rotate as a solid body. However, the outer parts exhibit differential rotation, where orbital speed remains constant regardless of distance from the center. This defies Kepler’s expected drop-off, leading astronomers to propose dark matter, an unseen, mysterious form of matter that exerts gravitational influence. To maintain a constant rotational speed at greater distances, the galaxy’s mass must increase proportionally with the radius, implying significant mass beyond visible stars and gas. We study dark matter through methods like analyzing external galaxy rotation curves, looking for microlensing events, and observing gravitational lensing by galaxy clusters. These approaches collectively indicate dark matter’s ubiquity, extending beyond luminous galaxy parts. Evidence extends to galaxy clusters, as Fritz Zwicky and Vera Rubin demonstrated that clusters require substantial dark matter to explain their dynamics. We explore candidates like MACHOs, WIMPs, axions, and sterile neutrinos. While none have been definitively detected, ongoing research continues to refine our understanding. Dark matter’s significance reshapes our understanding of the universe, revealing that most mass is non-luminous and interacts primarily through gravity. Understanding dark matter is crucial for unraveling the universe’s mysteries. 0:00 Introduction 0:01 The Link to Newton's Gravity 4:41 Circular Motion due to a Central Force 6:16 Circular Motion due to Gravity 7:16 Measuring Rotation Speed of Galaxies 8:54 The Rotation of the Galaxy's Disk 13:30 The Mass of the Milky Way Galaxy 16:56 Example: Milky Way 19:56 Dark Matter in the Milky Way 21:43 Rotation Curves of Other Galaxies 23:20 23% is Dark Matter 26:38 The Dark Matter of the Milky Way Galaxy 30:31 Dark Matter Halos 31:27 Dark Matter in Galaxy Clusters 38:45 The Musket Ball Cluster MilkyWay GalacticRotation DarkMatter Astronomy GalacticDynamics NewtonianPhysics DopplerEffect CosmicMysteries Key themes and topics emphasized include: MilkyWay, GalacticRotation, DarkMatter, Astronomy, GalacticDynamics, NewtonianPhysics, DopplerEffect, CosmicMysteries.