(*^ ::[ Information = "This is a Mathematica Notebook file. It contains ASCII text, and can be transferred by email, ftp, or other text-file transfer utility. It should be read or edited using a copy of Mathematica or MathReader. If you received this as email, use your mail application or copy/paste to save everything from the line containing (*^ down to the line containing ^*) into a plain text file. On some systems you may have to give the file a name ending with ".ma" to allow Mathematica to recognize it as a Notebook. The line below identifies what version of Mathematica created this file, but it can be opened using any other version as well."; FrontEndVersion = "X Window System Mathematica Notebook Front End Version 2.2"; X11StandardFontEncoding; fontset = title, inactive, noPageBreakBelow, noPageBreakInGroup, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e8, 24, fontName, "times"; fontset = subtitle, inactive, noPageBreakBelow, noPageBreakInGroup, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e6, 18, fontName, "times"; fontset = subsubtitle, inactive, noPageBreakBelow, noPageBreakInGroup, nohscroll, preserveAspect, groupLikeTitle, center, M7, italic, e6, 14, fontName, "times"; fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, a20, 18, fontName, "times"; fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, a15, 14, fontName, "times"; fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, a12, 12, fontName, "times"; fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, fontName, "times"; fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, fontName, "times"; fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, 12, fontName, "courier"; fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, fontName, "courier"; fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, 12, fontName, "courier"; fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, 12, fontName, "courier"; fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, 12, fontName, "courier"; fontset = 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fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, fontName, "times"; fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, fontName, "times"; fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, fontName, "times"; fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, fontName, "times";showRuler; currentKernel; ] :[font = title; inactive; preserveAspect; startGroup] ExB Drifts :[font = title; inactive; Cclosed; preserveAspect; startGroup] Initialization Cell (must be executed first) ;[s] 2:0,0;20,1;44,-1; 2:1,0,0 ,times,1,24,0,0,0;1,0,0 ,times,1,12,0,0,0; :[font = input; preserveAspect; endGroup] Needs["Calculus`VectorAnalysis`"] SetOptions[ParametricPlot,DefaultFont->{"Helvetica",14}]; SetOptions[ParametricPlot3D,DefaultFont->{"Helvetica",14}]; SetOptions[Plot,DefaultFont->{"Helvetica",14}]; :[font = subtitle; inactive; Cclosed; preserveAspect; startGroup] Parameters 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.56506 .84841 L s P p .004 w .17727 .92407 m .2211 .95044 L s P p .004 w .51902 .69145 m .45638 .68299 L s P p .004 w .20034 .78628 m .18876 .82299 L s P p .004 w .3918 .68631 m .33221 .70118 L s P p .004 w .45638 .68299 m .3918 .68631 L s P p .004 w .14814 .89096 m .17727 .92407 L s P p .004 w .57157 .7587 m .52824 .73168 L s P p .004 w .56506 .84841 m .55611 .81367 L s P p .004 w .23135 .75306 m .20034 .78628 L s P p .004 w .13722 .85389 m .14814 .89096 L s P p .004 w .52824 .73168 m .4711 .71327 L s P p .004 w .2793 .72683 m .23135 .75306 L s P p .004 w .55611 .81367 m .52724 .78107 L s P p .004 w .14648 .81627 m .13722 .85389 L s P p .004 w .4711 .71327 m .4059 .70584 L s P p .004 w .33959 .71049 m .2793 .72683 L s P p .004 w .4059 .70584 m .33959 .71049 L s P p .004 w .52724 .78107 m .48049 .75428 L s P p .004 w .17594 .7818 m .14648 .81627 L s P p .004 w .22337 .75411 m .17594 .7818 L s P p .004 w .48049 .75428 m .42013 .73655 L s P p .004 w .28427 .73626 m .22337 .75411 L s P p .004 w .42013 .73655 m .3523 .73022 L s P p .004 w .3523 .73022 m .28427 .73626 L s P p .002 w .43235 .0354 m .91941 .67427 L s .91941 .67427 m .9646 1.28874 L s .9646 1.28874 m .41574 .71163 L s .41574 .71163 m .43235 .0354 L s .09926 .17083 m .0354 .83661 L s .0354 .83661 m .41574 .71163 L s .41574 .71163 m .43235 .0354 L s .43235 .0354 m .09926 .17083 L s P p p .002 w .09926 .17083 m .43235 .0354 L s P p .002 w .1468 .15151 m .15262 .15817 L s P [(0)] .13515 .13817 .87303 1 Mshowa p .002 w .25186 .10879 m .25752 .11559 L s P [(1)] .24054 .09518 .83145 1 Mshowa p .002 w .35961 .06498 m .3651 .07192 L s P [(2)] .34864 .05109 .78986 1 Mshowa p .001 w .1676 .14305 m .17107 .14706 L s P p .001 w .18851 .13455 m .19196 .13858 L s P p .001 w .20952 .126 m .21295 .13005 L s P p .001 w .23064 .11742 m .23405 .12148 L s P p .001 w .27319 .10012 m .27657 .10422 L s P p .001 w .29463 .0914 m .29799 .09551 L s P p .001 w .31618 .08264 m .31952 .08677 L s P p .001 w .33784 .07383 m .34115 .07798 L s P p .001 w .1261 .15992 m .12961 .1639 L s P p .001 w .1055 .16829 m .10903 .17226 L s P p .001 w .38149 .05608 m .38476 .06027 L s P p .001 w .40349 .04714 m .40674 .05134 L s P p .001 w .4256 .03815 m .42882 .04237 L s P [(X)] .19481 .02262 .82729 1 Mshowa P p p .002 w .0354 .83661 m .63978 1.36853 L s P p .002 w .09559 .88958 m .10402 .88688 L s P [(-8)] .07873 .89497 1 -0.31979 Mshowa p .002 w .24232 1.01872 m .2508 1.01618 L s P [(-6)] .22536 1.02379 1 -0.29886 Mshowa p .002 w .37538 1.13582 m .3839 1.13343 L s P [(-4)] .35833 1.1406 1 -0.2805 Mshowa p .002 w .49659 1.2425 m .50515 1.24024 L s P [(-2)] .47948 1.24703 1 -0.26426 Mshowa p .002 w .60747 1.34009 m .61606 1.33795 L s P [(0)] .5903 1.34438 1 -0.2498 Mshowa p .001 w .12613 .91646 m .13119 .91486 L s P p .001 w .15605 .94279 m .16113 .94122 L s P p .001 w .18538 .96861 m .19046 .96705 L s P p .001 w .21413 .99391 m .21922 .99237 L s P p .001 w .26996 1.04305 m .27506 1.04154 L s P p .001 w .29707 1.06691 m .30217 1.06542 L s P p .001 w .32367 1.09032 m .32878 1.08885 L s P p .001 w .34977 1.11328 m .35488 1.11183 L s P p .001 w .40052 1.15795 m .40563 1.15653 L s P p .001 w .42519 1.17967 m .43032 1.17826 L s P p .001 w .44943 1.20099 m .45455 1.19961 L s P p .001 w .47322 1.22194 m .47835 1.22056 L s P p .001 w .51955 1.26271 m .52469 1.26137 L s P p .001 w .54211 1.28256 m .54725 1.28124 L s P p .001 w .56427 1.30207 m .56942 1.30076 L s P p .001 w .58606 1.32125 m .59121 1.31995 L s P p .001 w .06442 .86214 m .06947 .8605 L s P p .001 w .62852 1.35862 m .63368 1.35735 L s P [(Y)] .26842 1.16043 1 -0.28114 Mshowa P p P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup; endGroup; endGroup; endGroup] Graphics3D["<<>>"] ;[o] -Graphics3D- :[font = input; preserveAspect; startGroup] ??ParametricPlot3D :[font = print; inactive; preserveAspect; endGroup] ParametricPlot3D[{fx, fy, fz}, {t, tmin, tmax}] produces a three-dimensional space curve parameterized by a variable t which runs from tmin to tmax. ParametricPlot3D[{fx, fy, fz}, {t, tmin, tmax}, {u, umin, umax}] produces a three-dimensional surface parametrized by t and u. ParametricPlot3D[{fx, fy, fz, s}, ...] shades the plot according to the color specification s. ParametricPlot3D[{{fx, fy, fz}, {gx, gy, gz}, ...}, ...] plots several objects together. Attributes[ParametricPlot3D] = {HoldAll, Protected} Options[ParametricPlot3D] := {AmbientLight -> GrayLevel[0.], AspectRatio -> Automatic, Axes -> True, AxesEdge -> Automatic, AxesLabel -> None, AxesStyle -> Automatic, Background -> Automatic, Boxed -> True, BoxRatios -> Automatic, BoxStyle -> Automatic, ColorOutput -> Automatic, Compiled -> True, DefaultColor -> Automatic, Epilog -> {}, FaceGrids -> None, Lighting -> True, LightSources -> {{{1., 0., 1.}, RGBColor[1, 0, 0]}, {{1., 1., 1.}, RGBColor[0, 1, 0]}, {{0., 1., 1.}, RGBColor[0, 0, 1]}}, PlotLabel -> None, PlotPoints -> Automatic, PlotRange -> Automatic, PlotRegion -> Automatic, Plot3Matrix -> Automatic, PolygonIntersections -> True, Prolog -> {}, RenderAll -> True, Shading -> True, SphericalRegion -> False, Ticks -> Automatic, ViewCenter -> Automatic, ViewPoint -> {1.3, -2.4, 2.}, ViewVertical -> {0., 0., 1.}, DefaultFont -> {"Helvetica", 14}, DisplayFunction :> $DisplayFunction} :[font = input; preserveAspect] ^*)