A \(\mu\)-meson of charge equal to that of an electron \((-e)\) and mass \(208\) times the mass of an electron moves in a circular orbit around a nucleus of charge \(+3e\). Assuming that the Bohr model is applicable and the mass of the nucleus is infinite, find the orbit number \(n\) for which the radius of the orbit is approximately the same as that of the first Bohr orbit of hydrogen atom.