The finite chain of singly occupied twofold degenerate orbital sites with Hund's rule coupling is considered. The equation of motion for the combined spin and orbital excitation is solved exactly. The structure and stability of bound versus scattered states are examined and the critical momenta for state crossing are determined. The solutions are also extended to the thermodynamic limit of an infinite chain and compared to the existing spin-orbiton descriptions [Van den Brink , Phys. Rev. B 58, 10 276 (1998)]. The possibility to probe orbiton dynamics via spin excitations is discussed.