Orbital parameters model is one of the fully constrained physical models for geometrical correction of satellite imagery. The model has been developed to cover the physical conditions prevailing in the acquisition period of satellite platforms. The multiplicity of parameters in the modeling and correlation between them causes difficulties in solving the system of equations. Generally, problems are greatly reduced by adding the model parameters in the form of quasi observations and controlling trend of corrections by the values ​​of each parameter's weights. However, it is difficult to determine the correct values of quasi observations' weight due to the approximate precision of auxiliary data. Furthermore wrong weights of quasi observations impose additional parameters in the model structure. In this article, by providing some scenarios, the level of correlations between orbital model parameters and also the capability of rigid orbital model in the covering effect of perturbations are evaluated. The obtained results proved that unconsidered perturbations, occurring in a specified domain, are coverable by other correlated parameters of rigid orbital parameters model. This ability of the rigid orbital parameters model is more evident when quasi observations are not applied in the model.