For a class assignment, I have to do a Barnes-Hut Galaxy simulation.
The assignment includes:
The dots' velocities following the Maxwell distribution with typical velocity of $$v={\left<v\right>}^{\frac{1}{2}}$$ and that mean that each of the velocity vector components vave normal distribution with mean zero and $$\sigma = \frac{v}{\sqrt{3}}$$
The "dots" it mentions represent stars in the simulated galaxy.
Someone can explain to me the meaning of that? How the mean of all the components can be zero if, for example, $V=85\,\mathrm{kmh}$?