d in jouals are those of duncan & lissauer (1998). although their main target was the effect of post-main-sequence solar mass loss on the stability of planetary orbits， they performed many integrations covering up to ～1011 yr of the orbital motions of the four jovian planets. the initial orbital elements and masses of planets are the same as those of our solar system in duncan & lissauer's paper， but they decrease the mass of the sun gradually in their numerical experimen
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