Accretion Disk Density & Fusion: What You Need to Know

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Can an accretion disk get dense enough to start fusion? How dense does something have to be in order to start fusion?

Does it depend on the material?

is there a way of measuring the density of accretion disks?
 
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It takes about 100 Jupiter masses to trigger hydrogen fusion. This is the lower limit for a brown dwarf star. Small is not bad, though, such a star can burn steadily for 100 billion years.
 
Yes, but the accretion disk will not form a disk-shaped star- it will fail to reach a stable equilibrium, like stars do, and instead just burn off super fast. This event is known as a nova.

If the accretion disk gets massive enough that a white dwarf passes the Chandrasekhar limit, carbon fusion occurs and the event is known as a Type 1A supernova.