Bondi accretion

It is generally used in the context of neutron star and black hole accretion.

To achieve an approximate form of the Bondi accretion rate, accretion is assumed to occur at a rate where: The Bondi radius comes from setting escape velocity equal to the sound speed and solving for radius.

A more complete solution can be found in Bondi's original work and two other papers.

When a planet is forming in a protoplanetary disk, it needs the gas in the disk to fall into its Bondi sphere in order for the planet to be able to accrete an atmosphere.

For a massive enough planet, the initial accreted gas can quickly fill up the Bondi sphere.