The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research, we have used the method of hyper-spherical "surface" functions for the muonic molecule, tritium-tritium-muon. Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in the extreme adiabatic approximation. The results obtained are close to the calculation of other researchers.
