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A typical n-body simulation does not look like a traditional spiral galaxy. In the sixties, Lin and Shu proposed the density wave theory. This Houdini simulation is an attempt to go beyond the typical density waves and bring it into an n-body simulation. These attempts are showing a 2-arm and a 3-arm galaxy.
Density waves are a phenomenon where a spiral pattern rotates at a particular angular frequency, referred to as the pattern speed. These waves create regions of higher and lower density within the galactic disk. The stars in the galactic disk do not move with a uniform speed; instead, their orbital velocities vary depending on their distance from the center of the galaxy. As a result, density waves are responsible for the formation of the spiral arms in galaxies, where stars move through these waves, bunching up in the high-density regions and spreading out in the low-density regions. This dynamic interaction between the spiral pattern and the varying orbital speeds of stars gives rise to the characteristic spiral structure observed in galaxies.