The velocity scaling method based on the least squares theory is considered to be the most efficient, stable, and widely used method among all manifold correction methods. The stability of the restricted three-body problem where the larger primary is a source of radiation and the smaller companion is an oblate spheroid is discussed by using the velocity scaling method. The numerical simulations suggest that (1) the number of the chaotic orbits is increasing if only the oblate spheroid perturbation is considered; (2) the number of the regular orbits will be increased if only considering the radiation part; (3) when both the radiation and oblate spheroid perturbation exist, the action of the radiation plays a dominant role, and the probability of orderly motion of the system will be increased.