tal elents a rough estiation of nurical errors is also given section 4 goes on to a discsion of the longest-ter variation of pary orbits g a low-pass filter and cdes a discsion of angur ontu deficitsection 5, we present a set of nurical tegrations for the outer five ps that spans ± 5 x 1010 yrsection 6 we also discs the long-ter stability of the pary otion and its possible cae
2 description of the nurical tegrations
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23 nurical thod
we utilize a send-order wisdo–hon syplectic ap as our a tegration thod (wisdo ≈ap;ap;ap; hon 1991; koa, yoshida ≈ap;ap;ap; nakai 1991) with a special start-up procedure to reduce the truncation error of angle variables,‘war start’(saha ≈ap;ap;ap; treae 1992, 1994)
the stepsize for the nurical tegrations is 8 d throughout all tegrations of the ne ps (n±1,2,3), which is about 1/11 of the orbital period of the nerost p (rcury) as for the deteration of stepsize, w
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