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In this paper, a generalized Adams-Moulton method that is a m-step method derived by using the Taylor's series is proposed to solve the satellite orbit determination problem. We show that our proposed method has produced much smaller error than the original Adams-Moulton method. Finally, the accuracy performance is demonstrated in the satellite orbit correction problem by giving a numerical example.doi:10.11568/kjm.2013.21.3.271 fatcat:q7gw7t25szfxlciyvmi57etj7i