Keplerian Disk

A disk of material that obey’s Kepler’s laws of motion due to the dominance of a massive body at its centre.

The velocity, v of the material a distance, R from a central star/black hole is proportional to R-1/2.

Newton’s laws of gravity and motion demonstrate that the velocity v obeys:

$ v = \sqrt{GM\over{R}} $

where G is Newton’s gravitational constant, and M is the mass of the object the disk is orbiting.

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