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Alfie114
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- I have a question about the virial theorem as applied to a cluster of stars.
Anyone able to help if I provide you with more details?
You need to use math latex notation. Its hard to understand your equations like this.Alfie114 said:OK we have a star cluster (the system) which is made up from stars (total mass M sub *) and gas (total mass M sub g). The stars and gas are all distributed as spheres of constant density and a finite radius r sub c.
The total mass of the stars and the gas is different but we can assume that M sub g = f*M sub *
If the system is unrotating and in equilibrium how do we calculate the kinetic energy in terms of r sub c, f and M sub *?
We can take 2KE + PE = 0 where KE = (-3/5) (GM^2/R) and PE = (3kT/2)*n where n is the total number of particles = (M/mu*m sub H) where mu=1 and m sub H is the mass of a hydrogen atom.
The Virial Theorem is a mathematical relationship between the kinetic and potential energies of a system, which can be used to analyze the stability and equilibrium of a system.
The Virial Theorem is used in various fields of science, such as astrophysics, thermodynamics, and quantum mechanics, to analyze the behavior and stability of systems.
The Virial Theorem provides a way to understand the behavior of complex systems by relating their kinetic and potential energies. It also allows for the prediction of system stability and equilibrium.
The formula for the Virial Theorem is: 2
The Virial Theorem is derived from the law of conservation of energy, as it states that the total energy of a system remains constant. It is a mathematical representation of the law of conservation of energy for systems with both kinetic and potential energies.