In this work we construct an ebbedded pair of exponentially fitted Runge‐Kutta‐Nyström methods. These methods integrate exactly differential systems whose solutions can be expressed as linear combinations of the set of functions or We modify the pair of six and fourth order formulae suggested in [1] (RKN6(4)6FM). We apply the new method on the integration of orbital problems such as the two body problem and an orbit problem studied by Steifel and Bettis.
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© 2007 American Institute of Physics.
2007
American Institute of Physics
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