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Welcome, my name is Phil, and in this video I explain what hydrostatic equilibrium in stars is.
Hydrostatic equilibrium in stars is very important to understanding many of the evolutionary phases a star goes through during its life. For example, during the main sequence phase stars they are in hydrostatic equilibrium. This is where the gravitational forces trying to collapse the star are balanced by outward radiative pressure created by fusion in the core. When the core is depleted of hydrogen the now helium core contracts as the gravitational forces over come the outward force. This allows a shell of hydrogen fusion to occur around it. This shell of hydrogen fusion has a large volume and creates a larger outward radiative pressure. The gravitational forces do not change so this is able to cause an expansion of the outer layers, which in turn moves the star into the Red Giant phase of its evolution.