(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1078573, 26145]*) (*NotebookOutlinePosition[ 1079569, 26177]*) (* CellTagsIndexPosition[ 1079525, 26173]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ \($DebugCelleratorLoad = False\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(<< cellerator.m\)], "Input"], Cell[BoxData[ \("Cellerator\[Trademark] Version 2.0313, loaded at Mar. 13, 2002, \ 12:20:50\n\[Copyright]2001,2002 Jet Propulsion Laboratory, California \ Institute of Technology. U.S. Government Sponsorhip Acknowledged. 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\(\(PB[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PB[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"36", \(PB[6]\), \(\(PB[6]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PB[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"37", \(PC[1]\), \(\(PC[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PC[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"38", \(PC[2]\), \(\(PC[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PC[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"39", \(PC[3]\), \(\(PC[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PC[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"40", \(PC[4]\), \(\(PC[4]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PC[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"41", \(PC[5]\), \(\(PC[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PC[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"42", \(PC[6]\), \(\(PC[6]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(PC[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", "0"}]}, {"43", \(pM[1]\), \(\(pM[1]\)[0] == 0.02129785639475616`\), RowBox[{ RowBox[{ SuperscriptBox[\(pM[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\((\(\(0.018`\)\(\[InvisibleSpace]\)\) + 180\ \(M[1]\)[t]\^2)\)\)\ \(pM[1]\)[t] + 200\ \(CP[1]\)[t]\ \(Y[1]\)[t]\)}]}, {"44", \(pM[2]\), \(\(pM[2]\)[0] == 0.29295232713239033`\), RowBox[{ RowBox[{ SuperscriptBox[\(pM[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\((\(\(0.018`\)\(\[InvisibleSpace]\)\) + 180\ \(M[2]\)[t]\^2)\)\)\ \(pM[2]\)[t] + 200\ \(CP[2]\)[t]\ \(Y[2]\)[t]\)}]}, {"45", \(pM[3]\), \(\(pM[3]\)[0] == 0.04561824355576228`\), RowBox[{ RowBox[{ SuperscriptBox[\(pM[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\((\(\(0.018`\)\(\[InvisibleSpace]\)\) + 180\ \(M[3]\)[t]\^2)\)\)\ \(pM[3]\)[t] + 200\ \(CP[3]\)[t]\ \(Y[3]\)[t]\)}]}, {"46", \(pM[4]\), \(\(pM[4]\)[0] == 0.1959349248149015`\), RowBox[{ RowBox[{ SuperscriptBox[\(pM[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\((\(\(0.018`\)\(\[InvisibleSpace]\)\) + 180\ \(M[4]\)[t]\^2)\)\)\ \(pM[4]\)[t] + 200\ \(CP[4]\)[t]\ \(Y[4]\)[t]\)}]}, {"47", \(pM[5]\), \(\(pM[5]\)[0] == 0.23309053546706604`\), RowBox[{ RowBox[{ SuperscriptBox[\(pM[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\((\(\(0.018`\)\(\[InvisibleSpace]\)\) + 180\ \(M[5]\)[t]\^2)\)\)\ \(pM[5]\)[t] + 200\ \(CP[5]\)[t]\ \(Y[5]\)[t]\)}]}, {"48", \(pM[6]\), \(\(pM[6]\)[0] == 0.20762405555951127`\), RowBox[{ RowBox[{ SuperscriptBox[\(pM[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\((\(\(0.018`\)\(\[InvisibleSpace]\)\) + 180\ \(M[6]\)[t]\^2)\)\)\ \(pM[6]\)[t] + 200\ \(CP[6]\)[t]\ \(Y[6]\)[t]\)}]}, {"49", \(splv[1]\), \(\(splv[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(splv[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-0.1`\) + \(M[1]\)[t]]\)}]}, {"50", \(splv[2]\), \(\(splv[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(splv[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-0.1`\) + \(M[2]\)[t]]\)}]}, {"51", \(splv[3]\), \(\(splv[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(splv[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-0.1`\) + \(M[3]\)[t]]\)}]}, {"52", \(splv[4]\), \(\(splv[4]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(splv[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-0.1`\) + \(M[4]\)[t]]\)}]}, {"53", \(splv[5]\), \(\(splv[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(splv[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-0.1`\) + \(M[5]\)[t]]\)}]}, {"54", \(splv[6]\), \(\(splv[6]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(splv[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-0.1`\) + \(M[6]\)[t]]\)}]}, {"55", \(tspl[1]\), \(\(tspl[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(tspl[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-1.`*^-8\) + \(splv[1]\)[t]]\)}]}, {"56", \(tspl[2]\), \(\(tspl[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(tspl[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-1.`*^-8\) + \(splv[2]\)[t]]\)}]}, {"57", \(tspl[3]\), \(\(tspl[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(tspl[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-1.`*^-8\) + \(splv[3]\)[t]]\)}]}, {"58", \(tspl[4]\), \(\(tspl[4]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(tspl[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-1.`*^-8\) + \(splv[4]\)[t]]\)}]}, {"59", \(tspl[5]\), \(\(tspl[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(tspl[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-1.`*^-8\) + \(splv[5]\)[t]]\)}]}, {"60", \(tspl[6]\), \(\(tspl[6]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(tspl[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(UnitStep[\(-1.`*^-8\) + \(splv[6]\)[t]]\)}]}, {"61", \(x[1]\), \(\(x[1]\)[0] == 1\), RowBox[{ RowBox[{ SuperscriptBox[\(x[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[1]\ \((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\ \ \((\(-\(\(\(mass[1]\)[t]\^\(1/3\) + \(mass[2]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\^2 + \((\(-\(y[1]\)[t]\) + \ \(y[2]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[2]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\^2 + \ \((\(-\(y[1]\)[t]\) + \(y[2]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[2]\)[t])\)\^2\) + \(k[2]\ \((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[1]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\^2 + \((\(-\(y[1]\)[t]\) + \ \(y[6]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\^2 + \ \((\(-\(y[1]\)[t]\) + \(y[6]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[6]\)[t])\)\^2\)\)}]}, {"62", \(x[2]\), \(\(x[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(x[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[3]\ \((\(x[1]\)[t] - \(x[2]\)[t])\)\ \ \((\(-\(\(\(mass[1]\)[t]\^\(1/3\) + \(mass[2]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(x[1]\)[t] - \(x[2]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[2]\)[t])\)\^2 + \((\ \(z[1]\)[t] - \(z[2]\)[t])\)\^2\))\)\)\/\@\(\((\(x[1]\)[t] - \ \(x[2]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[2]\)[t])\)\^2 + \((\(z[1]\)[t] - \ \(z[2]\)[t])\)\^2\) + \(k[4]\ \((\(-\(x[2]\)[t]\) + \(x[3]\)[t])\)\ \ \((\(-\(\(\(mass[2]\)[t]\^\(1/3\) + \(mass[3]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(-\(x[2]\)[t]\) + \(x[3]\)[t])\)\^2 + \((\(-\(y[2]\)[t]\) + \ \(y[3]\)[t])\)\^2 + \((\(-\(z[2]\)[t]\) + \ \(z[3]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[2]\)[t]\) + \(x[3]\)[t])\)\^2 + \ \((\(-\(y[2]\)[t]\) + \(y[3]\)[t])\)\^2 + \((\(-\(z[2]\)[t]\) + \ \(z[3]\)[t])\)\^2\)\)}]}, {"63", \(x[3]\), \(\(x[3]\)[0] == \(-1\)\), RowBox[{ RowBox[{ SuperscriptBox[\(x[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[5]\ \((\(x[2]\)[t] - \(x[3]\)[t])\)\ \ \((\(-\(\(\(mass[2]\)[t]\^\(1/3\) + \(mass[3]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(x[2]\)[t] - \(x[3]\)[t])\)\^2 + \((\(y[2]\)[t] - \(y[3]\)[t])\)\^2 + \((\ \(z[2]\)[t] - \(z[3]\)[t])\)\^2\))\)\)\/\@\(\((\(x[2]\)[t] - \ \(x[3]\)[t])\)\^2 + \((\(y[2]\)[t] - \(y[3]\)[t])\)\^2 + \((\(z[2]\)[t] - \ \(z[3]\)[t])\)\^2\) + \(k[6]\ \((\(-\(x[3]\)[t]\) + \(x[4]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[3]\)[t]\^\(1/3\)\) - \(mass[4]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[3]\)[t]\) + \(x[4]\)[t])\)\^2 + \((\(-\(y[3]\)[t]\) + \ \(y[4]\)[t])\)\^2 + \((\(-\(z[3]\)[t]\) + \ \(z[4]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[3]\)[t]\) + \(x[4]\)[t])\)\^2 + \ \((\(-\(y[3]\)[t]\) + \(y[4]\)[t])\)\^2 + \((\(-\(z[3]\)[t]\) + \ \(z[4]\)[t])\)\^2\)\)}]}, {"64", \(x[4]\), \(\(x[4]\)[0] == \(-1\)\), RowBox[{ RowBox[{ SuperscriptBox[\(x[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[7]\ \((\(x[3]\)[t] - \(x[4]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[3]\)[t]\^\(1/3\)\) - \(mass[4]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[3]\)[t] - \(x[4]\)[t])\)\^2 + \((\(y[3]\)[t] - \(y[4]\)[t])\)\^2 + \ \((\(z[3]\)[t] - \(z[4]\)[t])\)\^2\))\)\)\/\@\(\((\(x[3]\)[t] - \ \(x[4]\)[t])\)\^2 + \((\(y[3]\)[t] - \(y[4]\)[t])\)\^2 + \((\(z[3]\)[t] - \ \(z[4]\)[t])\)\^2\) + \(k[8]\ \((\(-\(x[4]\)[t]\) + \(x[5]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[4]\)[t]\^\(1/3\)\) - \(mass[5]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[4]\)[t]\) + \(x[5]\)[t])\)\^2 + \((\(-\(y[4]\)[t]\) + \ \(y[5]\)[t])\)\^2 + \((\(-\(z[4]\)[t]\) + \ \(z[5]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[4]\)[t]\) + \(x[5]\)[t])\)\^2 + \ \((\(-\(y[4]\)[t]\) + \(y[5]\)[t])\)\^2 + \((\(-\(z[4]\)[t]\) + \ \(z[5]\)[t])\)\^2\)\)}]}, {"65", \(x[5]\), \(\(x[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(x[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[9]\ \((\(x[4]\)[t] - \(x[5]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[4]\)[t]\^\(1/3\)\) - \(mass[5]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[4]\)[t] - \(x[5]\)[t])\)\^2 + \((\(y[4]\)[t] - \(y[5]\)[t])\)\^2 + \ \((\(z[4]\)[t] - \(z[5]\)[t])\)\^2\))\)\)\/\@\(\((\(x[4]\)[t] - \ \(x[5]\)[t])\)\^2 + \((\(y[4]\)[t] - \(y[5]\)[t])\)\^2 + \((\(z[4]\)[t] - \ \(z[5]\)[t])\)\^2\) + \(k[10]\ \((\(-\(x[5]\)[t]\) + \(x[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[5]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[5]\)[t]\) + \(x[6]\)[t])\)\^2 + \((\(-\(y[5]\)[t]\) + \ \(y[6]\)[t])\)\^2 + \((\(-\(z[5]\)[t]\) + \ \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[5]\)[t]\) + \(x[6]\)[t])\)\^2 + \ \((\(-\(y[5]\)[t]\) + \(y[6]\)[t])\)\^2 + \((\(-\(z[5]\)[t]\) + \ \(z[6]\)[t])\)\^2\)\)}]}, {"66", \(x[6]\), \(\(x[6]\)[0] == 1\), RowBox[{ RowBox[{ SuperscriptBox[\(x[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[11]\ \((\(x[1]\)[t] - \(x[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[1]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[1]\)[t] - \(x[6]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[6]\)[t])\)\^2 + \ \((\(z[1]\)[t] - \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(x[1]\)[t] - \ \(x[6]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[6]\)[t])\)\^2 + \((\(z[1]\)[t] - \ \(z[6]\)[t])\)\^2\) + \(k[12]\ \((\(x[5]\)[t] - \(x[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[5]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[5]\)[t] - \(x[6]\)[t])\)\^2 + \((\(y[5]\)[t] - \(y[6]\)[t])\)\^2 + \ \((\(z[5]\)[t] - \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(x[5]\)[t] - \ \(x[6]\)[t])\)\^2 + \((\(y[5]\)[t] - \(y[6]\)[t])\)\^2 + \((\(z[5]\)[t] - \ \(z[6]\)[t])\)\^2\)\)}]}, {"67", \(y[1]\), \(\(y[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(y[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[1]\ \((\(-\(y[1]\)[t]\) + \(y[2]\)[t])\)\ \ \((\(-\(\(\(mass[1]\)[t]\^\(1/3\) + \(mass[2]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\^2 + \((\(-\(y[1]\)[t]\) + \ \(y[2]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[2]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\^2 + \ \((\(-\(y[1]\)[t]\) + \(y[2]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[2]\)[t])\)\^2\) + \(k[2]\ \((\(-\(y[1]\)[t]\) + \(y[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[1]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\^2 + \((\(-\(y[1]\)[t]\) + \ \(y[6]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\^2 + \ \((\(-\(y[1]\)[t]\) + \(y[6]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[6]\)[t])\)\^2\)\)}]}, {"68", \(y[2]\), \(\(y[2]\)[0] == 1\), RowBox[{ RowBox[{ SuperscriptBox[\(y[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[3]\ \((\(y[1]\)[t] - \(y[2]\)[t])\)\ \ \((\(-\(\(\(mass[1]\)[t]\^\(1/3\) + \(mass[2]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(x[1]\)[t] - \(x[2]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[2]\)[t])\)\^2 + \((\ \(z[1]\)[t] - \(z[2]\)[t])\)\^2\))\)\)\/\@\(\((\(x[1]\)[t] - \ \(x[2]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[2]\)[t])\)\^2 + \((\(z[1]\)[t] - \ \(z[2]\)[t])\)\^2\) + \(k[4]\ \((\(-\(y[2]\)[t]\) + \(y[3]\)[t])\)\ \ \((\(-\(\(\(mass[2]\)[t]\^\(1/3\) + \(mass[3]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(-\(x[2]\)[t]\) + \(x[3]\)[t])\)\^2 + \((\(-\(y[2]\)[t]\) + \ \(y[3]\)[t])\)\^2 + \((\(-\(z[2]\)[t]\) + \ \(z[3]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[2]\)[t]\) + \(x[3]\)[t])\)\^2 + \ \((\(-\(y[2]\)[t]\) + \(y[3]\)[t])\)\^2 + \((\(-\(z[2]\)[t]\) + \ \(z[3]\)[t])\)\^2\)\)}]}, {"69", \(y[3]\), \(\(y[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(y[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[5]\ \((\(y[2]\)[t] - \(y[3]\)[t])\)\ \ \((\(-\(\(\(mass[2]\)[t]\^\(1/3\) + \(mass[3]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(x[2]\)[t] - \(x[3]\)[t])\)\^2 + \((\(y[2]\)[t] - \(y[3]\)[t])\)\^2 + \((\ \(z[2]\)[t] - \(z[3]\)[t])\)\^2\))\)\)\/\@\(\((\(x[2]\)[t] - \ \(x[3]\)[t])\)\^2 + \((\(y[2]\)[t] - \(y[3]\)[t])\)\^2 + \((\(z[2]\)[t] - \ \(z[3]\)[t])\)\^2\) + \(k[6]\ \((\(-\(y[3]\)[t]\) + \(y[4]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[3]\)[t]\^\(1/3\)\) - \(mass[4]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[3]\)[t]\) + \(x[4]\)[t])\)\^2 + \((\(-\(y[3]\)[t]\) + \ \(y[4]\)[t])\)\^2 + \((\(-\(z[3]\)[t]\) + \ \(z[4]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[3]\)[t]\) + \(x[4]\)[t])\)\^2 + \ \((\(-\(y[3]\)[t]\) + \(y[4]\)[t])\)\^2 + \((\(-\(z[3]\)[t]\) + \ \(z[4]\)[t])\)\^2\)\)}]}, {"70", \(y[4]\), \(\(y[4]\)[0] == \(-1\)\), RowBox[{ RowBox[{ SuperscriptBox[\(y[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[7]\ \((\(y[3]\)[t] - \(y[4]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[3]\)[t]\^\(1/3\)\) - \(mass[4]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[3]\)[t] - \(x[4]\)[t])\)\^2 + \((\(y[3]\)[t] - \(y[4]\)[t])\)\^2 + \ \((\(z[3]\)[t] - \(z[4]\)[t])\)\^2\))\)\)\/\@\(\((\(x[3]\)[t] - \ \(x[4]\)[t])\)\^2 + \((\(y[3]\)[t] - \(y[4]\)[t])\)\^2 + \((\(z[3]\)[t] - \ \(z[4]\)[t])\)\^2\) + \(k[8]\ \((\(-\(y[4]\)[t]\) + \(y[5]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[4]\)[t]\^\(1/3\)\) - \(mass[5]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[4]\)[t]\) + \(x[5]\)[t])\)\^2 + \((\(-\(y[4]\)[t]\) + \ \(y[5]\)[t])\)\^2 + \((\(-\(z[4]\)[t]\) + \ \(z[5]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[4]\)[t]\) + \(x[5]\)[t])\)\^2 + \ \((\(-\(y[4]\)[t]\) + \(y[5]\)[t])\)\^2 + \((\(-\(z[4]\)[t]\) + \ \(z[5]\)[t])\)\^2\)\)}]}, {"71", \(y[5]\), \(\(y[5]\)[0] == \(-1\)\), RowBox[{ RowBox[{ SuperscriptBox[\(y[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[9]\ \((\(y[4]\)[t] - \(y[5]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[4]\)[t]\^\(1/3\)\) - \(mass[5]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[4]\)[t] - \(x[5]\)[t])\)\^2 + \((\(y[4]\)[t] - \(y[5]\)[t])\)\^2 + \ \((\(z[4]\)[t] - \(z[5]\)[t])\)\^2\))\)\)\/\@\(\((\(x[4]\)[t] - \ \(x[5]\)[t])\)\^2 + \((\(y[4]\)[t] - \(y[5]\)[t])\)\^2 + \((\(z[4]\)[t] - \ \(z[5]\)[t])\)\^2\) + \(k[10]\ \((\(-\(y[5]\)[t]\) + \(y[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[5]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[5]\)[t]\) + \(x[6]\)[t])\)\^2 + \((\(-\(y[5]\)[t]\) + \ \(y[6]\)[t])\)\^2 + \((\(-\(z[5]\)[t]\) + \ \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[5]\)[t]\) + \(x[6]\)[t])\)\^2 + \ \((\(-\(y[5]\)[t]\) + \(y[6]\)[t])\)\^2 + \((\(-\(z[5]\)[t]\) + \ \(z[6]\)[t])\)\^2\)\)}]}, {"72", \(y[6]\), \(\(y[6]\)[0] == \(-1\)\), RowBox[{ RowBox[{ SuperscriptBox[\(y[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[11]\ \((\(y[1]\)[t] - \(y[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[1]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[1]\)[t] - \(x[6]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[6]\)[t])\)\^2 + \ \((\(z[1]\)[t] - \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(x[1]\)[t] - \ \(x[6]\)[t])\)\^2 + \((\(y[1]\)[t] - \(y[6]\)[t])\)\^2 + \((\(z[1]\)[t] - \ \(z[6]\)[t])\)\^2\) + \(k[12]\ \((\(y[5]\)[t] - \(y[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[5]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(x[5]\)[t] - \(x[6]\)[t])\)\^2 + \((\(y[5]\)[t] - \(y[6]\)[t])\)\^2 + \ \((\(z[5]\)[t] - \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(x[5]\)[t] - \ \(x[6]\)[t])\)\^2 + \((\(y[5]\)[t] - \(y[6]\)[t])\)\^2 + \((\(z[5]\)[t] - \ \(z[6]\)[t])\)\^2\)\)}]}, {"73", \(Y[1]\), \(\(Y[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(Y[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(\(0.015`\)\(\[InvisibleSpace]\)\) - 200\ \(CP[1]\)[t]\ \(Y[1]\)[t]\)}]}, {"74", \(Y[2]\), \(\(Y[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(Y[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(\(0.015`\)\(\[InvisibleSpace]\)\) - 200\ \(CP[2]\)[t]\ \(Y[2]\)[t]\)}]}, {"75", \(Y[3]\), \(\(Y[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(Y[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(\(0.015`\)\(\[InvisibleSpace]\)\) - 200\ \(CP[3]\)[t]\ \(Y[3]\)[t]\)}]}, {"76", \(Y[4]\), \(\(Y[4]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(Y[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(\(0.015`\)\(\[InvisibleSpace]\)\) - 200\ \(CP[4]\)[t]\ \(Y[4]\)[t]\)}]}, {"77", \(Y[5]\), \(\(Y[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(Y[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(\(0.015`\)\(\[InvisibleSpace]\)\) - 200\ \(CP[5]\)[t]\ \(Y[5]\)[t]\)}]}, {"78", \(Y[6]\), \(\(Y[6]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(Y[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(\(0.015`\)\(\[InvisibleSpace]\)\) - 200\ \(CP[6]\)[t]\ \(Y[6]\)[t]\)}]}, {"79", \(YP[1]\), \(\(YP[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(YP[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(M[1]\)[t] - 0.6`\ \(YP[1]\)[t]\)}]}, {"80", \(YP[2]\), \(\(YP[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(YP[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(M[2]\)[t] - 0.6`\ \(YP[2]\)[t]\)}]}, {"81", \(YP[3]\), \(\(YP[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(YP[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(M[3]\)[t] - 0.6`\ \(YP[3]\)[t]\)}]}, {"82", \(YP[4]\), \(\(YP[4]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(YP[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(M[4]\)[t] - 0.6`\ \(YP[4]\)[t]\)}]}, {"83", \(YP[5]\), \(\(YP[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(YP[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(M[5]\)[t] - 0.6`\ \(YP[5]\)[t]\)}]}, {"84", \(YP[6]\), \(\(YP[6]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(YP[6]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(M[6]\)[t] - 0.6`\ \(YP[6]\)[t]\)}]}, {"85", \(z[1]\), \(\(z[1]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(z[1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[1]\ \((\(-\(z[1]\)[t]\) + \(z[2]\)[t])\)\ \ \((\(-\(\(\(mass[1]\)[t]\^\(1/3\) + \(mass[2]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\ \((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\^2 + \((\(-\(y[1]\)[t]\) + \ \(y[2]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[2]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[1]\)[t]\) + \(x[2]\)[t])\)\^2 + \ \((\(-\(y[1]\)[t]\) + \(y[2]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[2]\)[t])\)\^2\) + \(k[2]\ \((\(-\(z[1]\)[t]\) + \(z[6]\)[t])\)\ \((1\/2\ \ \((\(-\(mass[1]\)[t]\^\(1/3\)\) - \(mass[6]\)[t]\^\(1/3\))\) + \ \@\(\((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\^2 + \((\(-\(y[1]\)[t]\) + \ \(y[6]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[6]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[1]\)[t]\) + \(x[6]\)[t])\)\^2 + \ \((\(-\(y[1]\)[t]\) + \(y[6]\)[t])\)\^2 + \((\(-\(z[1]\)[t]\) + \ \(z[6]\)[t])\)\^2\)\)}]}, {"86", \(z[2]\), \(\(z[2]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(z[2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[3]\ \((\(-\(\(\(mass[1]\)[t]\^\(1/3\) + \ \(mass[2]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\((\(x[1]\)[t] - \(x[2]\)[t])\)\^2 + \ \((\(y[1]\)[t] - \(y[2]\)[t])\)\^2 + \((\(z[1]\)[t] - \(z[2]\)[t])\)\^2\))\)\ \ \((\(z[1]\)[t] - \(z[2]\)[t])\)\)\/\@\(\((\(x[1]\)[t] - \(x[2]\)[t])\)\^2 + \ \((\(y[1]\)[t] - \(y[2]\)[t])\)\^2 + \((\(z[1]\)[t] - \(z[2]\)[t])\)\^2\) + \ \(k[4]\ \((\(-\(z[2]\)[t]\) + \(z[3]\)[t])\)\ \((\(-\(\(\(mass[2]\)[t]\^\(1/3\ \) + \(mass[3]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\((\(-\(x[2]\)[t]\) + \ \(x[3]\)[t])\)\^2 + \((\(-\(y[2]\)[t]\) + \(y[3]\)[t])\)\^2 + \ \((\(-\(z[2]\)[t]\) + \(z[3]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[2]\)[t]\) + \ \(x[3]\)[t])\)\^2 + \((\(-\(y[2]\)[t]\) + \(y[3]\)[t])\)\^2 + \ \((\(-\(z[2]\)[t]\) + \(z[3]\)[t])\)\^2\)\)}]}, {"87", \(z[3]\), \(\(z[3]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(z[3]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[5]\ \((\(-\(\(\(mass[2]\)[t]\^\(1/3\) + \ \(mass[3]\)[t]\^\(1/3\)\)\/\@2\)\) + \@\(\((\(x[2]\)[t] - \(x[3]\)[t])\)\^2 + \ \((\(y[2]\)[t] - \(y[3]\)[t])\)\^2 + \((\(z[2]\)[t] - \(z[3]\)[t])\)\^2\))\)\ \ \((\(z[2]\)[t] - \(z[3]\)[t])\)\)\/\@\(\((\(x[2]\)[t] - \(x[3]\)[t])\)\^2 + \ \((\(y[2]\)[t] - \(y[3]\)[t])\)\^2 + \((\(z[2]\)[t] - \(z[3]\)[t])\)\^2\) + \ \(k[6]\ \((\(-\(z[3]\)[t]\) + \(z[4]\)[t])\)\ \((1\/2\ \((\(-\(mass[3]\)[t]\^\ \(1/3\)\) - \(mass[4]\)[t]\^\(1/3\))\) + \@\(\((\(-\(x[3]\)[t]\) + \ \(x[4]\)[t])\)\^2 + \((\(-\(y[3]\)[t]\) + \(y[4]\)[t])\)\^2 + \ \((\(-\(z[3]\)[t]\) + \(z[4]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[3]\)[t]\) + \ \(x[4]\)[t])\)\^2 + \((\(-\(y[3]\)[t]\) + \(y[4]\)[t])\)\^2 + \ \((\(-\(z[3]\)[t]\) + \(z[4]\)[t])\)\^2\)\)}]}, {"88", \(z[4]\), \(\(z[4]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(z[4]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[7]\ \((1\/2\ \((\(-\(mass[3]\)[t]\^\(1/3\)\) - \ \(mass[4]\)[t]\^\(1/3\))\) + \@\(\((\(x[3]\)[t] - \(x[4]\)[t])\)\^2 + \ \((\(y[3]\)[t] - \(y[4]\)[t])\)\^2 + \((\(z[3]\)[t] - \(z[4]\)[t])\)\^2\))\)\ \ \((\(z[3]\)[t] - \(z[4]\)[t])\)\)\/\@\(\((\(x[3]\)[t] - \(x[4]\)[t])\)\^2 + \ \((\(y[3]\)[t] - \(y[4]\)[t])\)\^2 + \((\(z[3]\)[t] - \(z[4]\)[t])\)\^2\) + \ \(k[8]\ \((\(-\(z[4]\)[t]\) + \(z[5]\)[t])\)\ \((1\/2\ \((\(-\(mass[4]\)[t]\^\ \(1/3\)\) - \(mass[5]\)[t]\^\(1/3\))\) + \@\(\((\(-\(x[4]\)[t]\) + \ \(x[5]\)[t])\)\^2 + \((\(-\(y[4]\)[t]\) + \(y[5]\)[t])\)\^2 + \ \((\(-\(z[4]\)[t]\) + \(z[5]\)[t])\)\^2\))\)\)\/\@\(\((\(-\(x[4]\)[t]\) + \ \(x[5]\)[t])\)\^2 + \((\(-\(y[4]\)[t]\) + \(y[5]\)[t])\)\^2 + \ \((\(-\(z[4]\)[t]\) + \(z[5]\)[t])\)\^2\)\)}]}, {"89", \(z[5]\), \(\(z[5]\)[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox[\(z[5]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(k[9]\ \((1\/2\ \((\(-\(mass[4]\)[t]\^\(1/3\)\) - \ \(mass[5]\)[t]\^\(1/3\))\) + \@\(\((\(x[4]\)[t] - \(x[5]\)[t])\)\^2 + \ \((\(y[4]\)[t] - \(y[5]\)[t])\)\^2 + \((\(z[4]\)[t] - \(z[5]\)[t])\)\^2\))\)\ \ \((\(z[4]\)[t] - \(z[5]\)[t])\)\)\/\@\(\((\(x[4]\)[t] - \(x[5]\)[t])\)\^2 + \ \((\(y[4]\)[t] - 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