A GENERALIZATION OF THE ADAMS-BASHFORTH METHOD Hahm, Nahm-Woo; Hong, Bum-Il;
In this paper, we investigate a generalization of the Adams-Bashforth method by using the Taylor`s series. In case of m-step method, the local truncation error can be expressed in terms of m - 1 coefficients. With an appropriate choice of coefficients, the proposed method has produced much smaller error than the original Adams-Bashforth method. As an application of the generalized Adams-Bashforth method, the accuracy performance is demonstrated in the satellite orbit prediction problem. This implies that the generalized Adams-Bashforth method is applied to the orbit prediction of a low-altitude satellite. This numerical example shows that the prediction of the satellite trajectories is improved one order of magnitude.
A STUDY OF GENERALIZED ADAMS-MOULTON METHOD FOR THE SATELLITE ORBIT DETERMINATION PROBLEM, Korean Journal of Mathematics, 2013, 21, 3, 271
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