Di g it a l me th ods of hi g h prec is ion ha ve bee n de ve loped for th e c alculation of e lec tri c fi e lds a nd tra jectori es in e lec tros tati c le nses a lld a comput e r prog ra m was wri tt e n to app ly th ese me t hods to th e two-tube le ns . Th e ill c reased prec is ion res uit s fro m til(" use of nin e-point formula s in th e re la xa ti on ca lc ulatio n of pot en ti als in Il lac(' of prev iou s ly use d fi ve-point fo rmu las a nd from th e use of a n impro ved pre d ic tor-co rrecto r method fo r th e calc ul a tio n of trajec to ri es. Trajec tori es obtain e d with th ese me thods a re suffi cie ntl y prec ise to de te rmin e third-o rd e r ab e rration c()p ffi e ic nt s_
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Natali et al. (1972) studied this question.