In this paper we have taken advantages of precise orbit determination of satellite trajectories using offline simulations. Furthermore perturbation forces which make complex motion equations of satellites and cause more complicated satellites trajectories are simulated using Poisson and Lagrange brackets methods. Moreover perturbation forces effects in the satellites motion are investigated and precise position of satellite is estimated. Finally a comparison between some real TLE values and our estimated parameters illustrates good performance of the proposed offline orbit determination algorithm. According to the simulation results, despite the large changes in orbital, prediction of the satellite position is acceptable after near 60 days.