Abstract: In this paper, a statistical model of random atmospheric density as a function of latitude, altitude and time (month), below an altitude of 90km and along the return trajectory of satellite, has been developed.The sample of random atmospheric density generated by the model has been used in Monte Carlo trajectory simulating. By statistical analysis of samples of return trajectory parameters obtained in trajectory simulation, the effects of random atmospheric density variance on return trajectory parameters has been learned. Also, this paper deals with the "method of influence coefficients" used in evaluating approximately the effects of random atmospheric density variance on return trajectory parameters.

Key words: Satellite, Reentry trajectory, Atmospheric density, Statistical model, Approximate calculation.