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Solar System/Planet Formation and Structure

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Core Accretion and Disk Instability

The 2 main/most common theories for planet formation are disk instability and core accretion.

Core Accretion

Core Accretion is the theory that planets form from small particles gathering together and forming lumps that accumulate more and more mass. This process is slow, taking millions of years.

Disk Instability

Disk Instability is the theory that planets form from spinning disks of material that accumulates so much mass, it violently collapses on itself and forms a planet. This is a quick process (speaking relatively), taking just thousands of years.

Toomre-Q Parameter

The Toomre Q-parameter is a dimensionless quantity used in astrophysics to measure the gravitational stability of a rotating disk of gas or stars (such as a galaxy or protoplanetary disk). It determines whether a disk will remain stable or fragment into smaller clumps due to its own gravity.

Q = (speed of sound * rotational shear) / pi * gravitational constant * surface density
The equation in question

Stability Thresholds-

Q > 1 : Disk is stable

Q < 1 : Disk is unstable

Q ≈ 1 : Disk is marginally stable