I have been looking for information on where Vitagliano got the information that numerically integrated orbits are good for  years JPL seldom claims accuracy beyond  years and their longest ephemeris was for  years but it was unrealesed  probably specialpurpose for some researchers needs At the bottom of this  Vitagliano compares positions of various bodies with and without asteroids to perturb them giving us a worst case Unfortunately he does not give his results to better than  which is larger than the expected error At that level their is little diffierence in the results but errors that large could cause the outer planets with their small disks to miss each other Vitaglianos Solex is derived from JPLs ephemerides thus we cant expect it to be better in accuracy