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(* ||| Mathematica Syntax || yukterez.net || n Body Newtonian Mass & Charge Simulator ||| *)
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ClearAll["Global`*"]; ClearAll["Local`*"];
Amp = 1; kg = 1; m = 1; sek = 1; km = 1000 m; (* SI Einheiten *)
 
mt1 = {"StiffnessSwitching", Method-> {"ExplicitRungeKutta", Automatic}};
mt2 = {"ImplicitRungeKutta", "DifferenceOrder"-> 20};
mt3 = {"EquationSimplification"-> "Residual"};
mt0 = Automatic;
mta = mt0;
wp  = MachinePrecision;
 
(* Plot Optionen *)
 
Tmax      = 40 yr;
trail     = 10 yr;
point     = 0.015;
thk       = 0.004;
plotrange = 50 Au {{-1, +1}, {-1, +1}, {-1, +1}};
viewpoint = {40, 30, 20};
imagesize = 430;
startpos  = 0;
                                               (* Ephemeriden vom 19.02.2019, 0:00:00 TDB *)
(* Sonne *)

m1  =  1.98847*^30 kg;
q1  =  77 Amp sek;

x1x = -1.147196570503204*^-03 Au;
y1y =  7.515074431920434*^-03 Au;
z1z = -4.730273651193038*^-05 Au;

v1x = -8.107931162902937*^-06 Au/dy;
v1y =  1.520849732928662*^-06 Au/dy;
v1z =  2.095554598567427*^-07 Au/dy;
 
(* Merkur *)

m2  =  3.3011*^23 kg;
q2  =  0 Amp sek;
 
x2x =  2.493682187528474*^-01 Au;
y2y =  2.060848667278006*^-01 Au;
z2z = -6.803162776737710*^-03 Au;

v2x = -2.301828852252654*^-02 Au/dy;
v2y =  2.326003199133993*^-02 Au/dy;
v2z =  4.011640539083395*^-03 Au/dy;
 
(* Venus *)

m3  =  4.8675*^24 kg;
q3  =  0 Amp sek;
 
x3x = -5.604572600267276*^-01 Au;
y3y = -4.500554270408416*^-01 Au;
z3z =  2.595073246894732*^-02 Au;

v3x =  1.265689462094818*^-02 Au/dy;
v3y = -1.574829638876520*^-02 Au/dy;
v3z = -9.467652690844731*^-04 Au/dy;
 
(* Erde *)

m4  =  5.9722*^24 kg;
q4  =  0 Amp sek;

x4x = -8.552072163834489*^-01 Au;
y4y =  5.049715021822364*^-01 Au;
z4z = -6.849877545851131*^-05 Au;

v4x = -8.942912568116291*^-03 Au/dy;
v4y = -1.492365678503182*^-02 Au/dy;
v4z =  2.741178622694643*^-07 Au/dy;
 
(* Mars *)

m5  =  6.4171*^23 kg;
q5  =  0 Amp sek;
 
x5x =  5.580724605736193*^-01 Au;
y5y =  1.416261572201534*^+00 Au;
z5z =  1.574925082740965*^-02 Au;

v5x = -1.248544019487808*^-02 Au/dy;
v5y =  6.355083417008326*^-03 Au/dy;
v5z =  4.394992947386628*^-04 Au/dy;
 
(* Jupiter *)

m6  =  1.89813*^27 kg;
q6  =  0 Amp sek;
 
x6x = -1.795821860926694*^+00 Au;
y6y = -5.016469167174772*^+00 Au;
z6z =  6.097587180308248*^-02 Au;
 
v6x =  7.014525824256318*^-03 Au/dy;
v6y = -2.183010990796764*^-03 Au/dy;
v6z = -1.478090774743338*^-04 Au/dy;

(* Saturn *)

m7  =  5.6834*^26 kg;
q7  =  0 Amp sek;

x7x =  2.211165351380597*^+00 Au;
y7y = -9.803846216723874*^+00 Au;
z7z =  8.244475037063657*^-02 Au;

v7x =  5.133965065556525*^-03 Au/dy;
v7y =  1.210333590471664*^-03 Au/dy;
v7z = -2.255855621236429*^-04 Au/dy;

(* Uranus *)

m8  =  8.681*^25 kg;
q8  =  0 Amp sek;

x8x =  1.691367572961052*^+01 Au;
y8y =  1.040615964042521*^+01 Au;
z8z = -1.804702052122950*^-01 Au;

v8x = -2.089933372733080*^-03 Au/dy;
v8y =  3.166549064213605*^-03 Au/dy;
v8z =  3.884093561739733*^-05 Au/dy;

(* Neptun *)

m9  =  1.02413*^26 kg;
q9  =  0 Amp sek;

x9x =  2.901867480863295*^+01 Au;
y9y = -7.331260396521146*^+00 Au;
z9z = -5.177914737734761*^-01 Au;

v9x =  7.476131405747911*^-04 Au/dy;
v9y =  3.062101642790218*^-03 Au/dy;
v9z = -8.000840096853115*^-05 Au/dy;

(* Pluto *)

m0  =  1.303*^22 kg;
q0  =  0 Amp sek;

x0x =  1.202894612500549*^+01 Au;
y0y = -3.151878221568063*^+01 Au;
z0z = -1.067812248721266*^-01 Au;

v0x =  3.004427922255182*^-03 Au/dy;
v0y =  4.501898344345873*^-04 Au/dy;
v0z = -9.299030165680609*^-04 Au/dy;
 
(* Konstanten *)
 
G  = 667384/10^16 m^3/kg/sek^2;
ε0 = 8.854187817*^-12 Amp^2 sek^4/kg/m^3;
c  = 299792458 m/sek;
Au = 149597870700 m;
dy = 24*3600 sek;
yr = 36525*dy/100;
 
(* Differentialgleichung *)
 
nds=NDSolve[{
 
x1'[t] == vx1[t], y1'[t] == vy1[t], z1'[t] == vz1[t],
x2'[t] == vx2[t], y2'[t] == vy2[t], z2'[t] == vz2[t],
x3'[t] == vx3[t], y3'[t] == vy3[t], z3'[t] == vz3[t],
x4'[t] == vx4[t], y4'[t] == vy4[t], z4'[t] == vz4[t],
x5'[t] == vx5[t], y5'[t] == vy5[t], z5'[t] == vz5[t],
x6'[t] == vx6[t], y6'[t] == vy6[t], z6'[t] == vz6[t],
x7'[t] == vx7[t], y7'[t] == vy7[t], z7'[t] == vz7[t],
x8'[t] == vx8[t], y8'[t] == vy8[t], z8'[t] == vz8[t],
x9'[t] == vx9[t], y9'[t] == vy9[t], z9'[t] == vz9[t],
x0'[t] == vx0[t], y0'[t] == vy0[t], z0'[t] == vz0[t],
 
vx1'[t] ==
(G m2 (x2[t]-x1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(G m3 (x3[t]-x1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
(G m4 (x4[t]-x1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
(G m5 (x5[t]-x1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
(G m6 (x6[t]-x1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
(G m7 (x7[t]-x1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
(G m8 (x8[t]-x1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
(G m9 (x9[t]-x1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
(G m0 (x0[t]-x1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]+
If[q1 == 0, 0,
(-q1*q2/(4Pi ε0 )/m1 (x2[t]-x1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(-q1*q3/(4Pi ε0 )/m1 (x3[t]-x1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
(-q1*q4/(4Pi ε0 )/m1 (x4[t]-x1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
(-q1*q5/(4Pi ε0 )/m1 (x5[t]-x1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
(-q1*q6/(4Pi ε0 )/m1 (x6[t]-x1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
(-q1*q7/(4Pi ε0 )/m1 (x7[t]-x1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
(-q1*q8/(4Pi ε0 )/m1 (x8[t]-x1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
(-q1*q9/(4Pi ε0 )/m1 (x9[t]-x1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
(-q1*q0/(4Pi ε0 )/m1 (x0[t]-x1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]],
 
vy1'[t] ==
(G m2 (y2[t]-y1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(G m3 (y3[t]-y1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
(G m4 (y4[t]-y1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
(G m5 (y5[t]-y1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
(G m6 (y6[t]-y1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
(G m7 (y7[t]-y1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
(G m8 (y8[t]-y1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
(G m9 (y9[t]-y1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
(G m0 (y0[t]-y1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]+
If[q1 == 0, 0,
(-q1*q2/(4Pi ε0 )/m1 (y2[t]-y1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(-q1*q3/(4Pi ε0 )/m1 (y3[t]-y1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
(-q1*q4/(4Pi ε0 )/m1 (y4[t]-y1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
(-q1*q5/(4Pi ε0 )/m1 (y5[t]-y1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
(-q1*q6/(4Pi ε0 )/m1 (y6[t]-y1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
(-q1*q7/(4Pi ε0 )/m1 (y7[t]-y1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
(-q1*q8/(4Pi ε0 )/m1 (y8[t]-y1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
(-q1*q9/(4Pi ε0 )/m1 (y9[t]-y1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
(-q1*q0/(4Pi ε0 )/m1 (y0[t]-y1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]],
 
vz1'[t] ==
(G m2 (z2[t]-z1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(G m3 (z3[t]-z1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
(G m4 (z4[t]-z1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
(G m5 (z5[t]-z1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
(G m6 (z6[t]-z1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
(G m7 (z7[t]-z1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
(G m8 (z8[t]-z1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
(G m9 (z9[t]-z1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
(G m0 (z0[t]-z1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]+
If[q1 == 0, 0,
(-q1*q2/(4Pi ε0 )/m1 (z2[t]-z1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(-q1*q3/(4Pi ε0 )/m1 (z3[t]-z1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
(-q1*q4/(4Pi ε0 )/m1 (z4[t]-z1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
(-q1*q5/(4Pi ε0 )/m1 (z5[t]-z1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
(-q1*q6/(4Pi ε0 )/m1 (z6[t]-z1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
(-q1*q7/(4Pi ε0 )/m1 (z7[t]-z1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
(-q1*q8/(4Pi ε0 )/m1 (z8[t]-z1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
(-q1*q9/(4Pi ε0 )/m1 (z9[t]-z1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
(-q1*q0/(4Pi ε0 )/m1 (z0[t]-z1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]],
 
vx2'[t] ==
(G m1 (x1[t]-x2[t]))/Sqrt[((x1[t]-x2[t])^2+(y1[t]-y2[t])^2+(z1[t]-z2[t])^2)^3]+
(G m3 (x3[t]-x2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
(G m4 (x4[t]-x2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
(G m5 (x5[t]-x2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
(G m6 (x6[t]-x2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
(G m7 (x7[t]-x2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
(G m8 (x8[t]-x2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
(G m9 (x9[t]-x2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
(G m0 (x0[t]-x2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]+
If[q2 == 0, 0,
(-q2*q1/(4Pi ε0 )/m2 (x1[t]-x2[t]))/Sqrt[((x1[t]-x2[t])^2+(y1[t]-y2[t])^2+(z1[t]-z2[t])^2)^3]+
(-q2*q3/(4Pi ε0 )/m2 (x3[t]-x2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
(-q2*q4/(4Pi ε0 )/m2 (x4[t]-x2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
(-q2*q5/(4Pi ε0 )/m2 (x5[t]-x2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
(-q2*q6/(4Pi ε0 )/m2 (x6[t]-x2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
(-q2*q7/(4Pi ε0 )/m2 (x7[t]-x2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
(-q2*q8/(4Pi ε0 )/m2 (x8[t]-x2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
(-q2*q9/(4Pi ε0 )/m2 (x9[t]-x2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
(-q2*q0/(4Pi ε0 )/m2 (x0[t]-x2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]],
 
vy2'[t] ==
(G m1 (y1[t]-y2[t]))/Sqrt[((x1[t]-x2[t])^2+(y1[t]-y2[t])^2+(z1[t]-z2[t])^2)^3]+
(G m3 (y3[t]-y2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
(G m4 (y4[t]-y2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
(G m5 (y5[t]-y2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
(G m6 (y6[t]-y2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
(G m7 (y7[t]-y2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
(G m8 (y8[t]-y2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
(G m9 (y9[t]-y2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
(G m0 (y0[t]-y2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]+
If[q2 == 0, 0,
(-q2*q1/(4Pi ε0 )/m2 (y1[t]-y2[t]))/Sqrt[((x1[t]-x2[t])^2+(y1[t]-y2[t])^2+(z1[t]-z2[t])^2)^3]+
(-q2*q3/(4Pi ε0 )/m2 (y3[t]-y2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
(-q2*q4/(4Pi ε0 )/m2 (y4[t]-y2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
(-q2*q5/(4Pi ε0 )/m2 (y5[t]-y2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
(-q2*q6/(4Pi ε0 )/m2 (y6[t]-y2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
(-q2*q7/(4Pi ε0 )/m2 (y7[t]-y2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
(-q2*q8/(4Pi ε0 )/m2 (y8[t]-y2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
(-q2*q9/(4Pi ε0 )/m2 (y9[t]-y2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
(-q2*q0/(4Pi ε0 )/m2 (y0[t]-y2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]],
 
vz2'[t] ==
(G m1 (z1[t]-z2[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(G m3 (z3[t]-z2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
(G m4 (z4[t]-z2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
(G m5 (z5[t]-z2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
(G m6 (z6[t]-z2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
(G m7 (z7[t]-z2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
(G m8 (z8[t]-z2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
(G m9 (z9[t]-z2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
(G m0 (z0[t]-z2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]+
If[q2 == 0, 0,
(-q2*q1/(4Pi ε0 )/m2 (z1[t]-z2[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
(-q2*q3/(4Pi ε0 )/m2 (z3[t]-z2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
(-q2*q4/(4Pi ε0 )/m2 (z4[t]-z2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
(-q2*q5/(4Pi ε0 )/m2 (z5[t]-z2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
(-q2*q6/(4Pi ε0 )/m2 (z6[t]-z2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
(-q2*q7/(4Pi ε0 )/m2 (z7[t]-z2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
(-q2*q8/(4Pi ε0 )/m2 (z8[t]-z2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
(-q2*q9/(4Pi ε0 )/m2 (z9[t]-z2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
(-q2*q0/(4Pi ε0 )/m2 (z0[t]-z2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]],
 
vx3'[t] ==
(G m1 (x1[t]-x3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
(G m2 (x2[t]-x3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
(G m4 (x4[t]-x3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
(G m5 (x5[t]-x3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
(G m6 (x6[t]-x3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
(G m7 (x7[t]-x3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
(G m8 (x8[t]-x3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
(G m9 (x9[t]-x3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
(G m0 (x0[t]-x3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]+
If[q3 == 0, 0,
(-q3*q1/(4Pi ε0 )/m3 (x1[t]-x3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
(-q3*q2/(4Pi ε0 )/m3 (x2[t]-x3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
(-q3*q4/(4Pi ε0 )/m3 (x4[t]-x3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
(-q3*q5/(4Pi ε0 )/m3 (x5[t]-x3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
(-q3*q6/(4Pi ε0 )/m3 (x6[t]-x3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
(-q3*q7/(4Pi ε0 )/m3 (x7[t]-x3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
(-q3*q8/(4Pi ε0 )/m3 (x8[t]-x3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
(-q3*q9/(4Pi ε0 )/m3 (x9[t]-x3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
(-q3*q0/(4Pi ε0 )/m3 (x0[t]-x3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]],
 
vy3'[t] ==
(G m1 (y1[t]-y3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
(G m2 (y2[t]-y3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
(G m4 (y4[t]-y3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
(G m5 (y5[t]-y3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
(G m6 (y6[t]-y3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
(G m7 (y7[t]-y3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
(G m8 (y8[t]-y3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
(G m9 (y9[t]-y3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
(G m0 (y0[t]-y3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]+
If[q3 == 0, 0,
(-q3*q1/(4Pi ε0 )/m3 (y1[t]-y3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
(-q3*q2/(4Pi ε0 )/m3 (y2[t]-y3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
(-q3*q4/(4Pi ε0 )/m3 (y4[t]-y3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
(-q3*q5/(4Pi ε0 )/m3 (y5[t]-y3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
(-q3*q6/(4Pi ε0 )/m3 (y6[t]-y3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
(-q3*q7/(4Pi ε0 )/m3 (y7[t]-y3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
(-q3*q8/(4Pi ε0 )/m3 (y8[t]-y3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
(-q3*q9/(4Pi ε0 )/m3 (y9[t]-y3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
(-q3*q0/(4Pi ε0 )/m3 (y0[t]-y3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]],
 
vz3'[t] ==
(G m1 (z1[t]-z3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
(G m2 (z2[t]-z3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
(G m4 (z4[t]-z3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
(G m5 (z5[t]-z3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
(G m6 (z6[t]-z3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
(G m7 (z7[t]-z3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
(G m8 (z8[t]-z3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
(G m9 (z9[t]-z3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
(G m0 (z0[t]-z3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]+
If[q3 == 0, 0,
(-q3*q1/(4Pi ε0 )/m3 (z1[t]-z3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
(-q3*q2/(4Pi ε0 )/m3 (z2[t]-z3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
(-q3*q4/(4Pi ε0 )/m3 (z4[t]-z3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
(-q3*q5/(4Pi ε0 )/m3 (z5[t]-z3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
(-q3*q6/(4Pi ε0 )/m3 (z6[t]-z3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
(-q3*q7/(4Pi ε0 )/m3 (z7[t]-z3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
(-q3*q8/(4Pi ε0 )/m3 (z8[t]-z3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
(-q3*q9/(4Pi ε0 )/m3 (z9[t]-z3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
(-q3*q0/(4Pi ε0 )/m3 (z0[t]-z3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]],
 
vx4'[t] ==
(G m1 (x1[t]-x4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
(G m2 (x2[t]-x4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
(G m3 (x3[t]-x4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
(G m5 (x5[t]-x4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
(G m6 (x6[t]-x4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
(G m7 (x7[t]-x4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
(G m8 (x8[t]-x4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
(G m9 (x9[t]-x4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
(G m0 (x0[t]-x4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]+
If[q4 == 0, 0,
(-q4*q1/(4Pi ε0 )/m4 (x1[t]-x4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
(-q4*q2/(4Pi ε0 )/m4 (x2[t]-x4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
(-q4*q3/(4Pi ε0 )/m4 (x3[t]-x4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
(-q4*q5/(4Pi ε0 )/m4 (x5[t]-x4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
(-q4*q6/(4Pi ε0 )/m4 (x6[t]-x4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
(-q4*q7/(4Pi ε0 )/m4 (x7[t]-x4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
(-q4*q8/(4Pi ε0 )/m4 (x8[t]-x4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
(-q4*q9/(4Pi ε0 )/m4 (x9[t]-x4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
(-q4*q0/(4Pi ε0 )/m4 (x0[t]-x4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]],
 
vy4'[t] ==
(G m1 (y1[t]-y4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
(G m2 (y2[t]-y4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
(G m3 (y3[t]-y4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
(G m5 (y5[t]-y4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
(G m6 (y6[t]-y4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
(G m7 (y7[t]-y4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
(G m8 (y8[t]-y4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
(G m9 (y9[t]-y4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
(G m0 (y0[t]-y4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]+
If[q4 == 0, 0,
(-q4*q1/(4Pi ε0 )/m4 (y1[t]-y4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
(-q4*q2/(4Pi ε0 )/m4 (y2[t]-y4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
(-q4*q3/(4Pi ε0 )/m4 (y3[t]-y4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
(-q4*q5/(4Pi ε0 )/m4 (y5[t]-y4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
(-q4*q6/(4Pi ε0 )/m4 (y6[t]-y4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
(-q4*q7/(4Pi ε0 )/m4 (y7[t]-y4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
(-q4*q8/(4Pi ε0 )/m4 (y8[t]-y4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
(-q4*q9/(4Pi ε0 )/m4 (y9[t]-y4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
(-q4*q0/(4Pi ε0 )/m4 (y0[t]-y4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]],
 
vz4'[t] ==
(G m1 (z1[t]-z4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
(G m2 (z2[t]-z4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
(G m3 (z3[t]-z4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
(G m5 (z5[t]-z4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
(G m6 (z6[t]-z4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
(G m7 (z7[t]-z4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
(G m8 (z8[t]-z4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
(G m9 (z9[t]-z4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
(G m0 (z0[t]-z4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]+
If[q4 == 0, 0,
(-q4*q1/(4Pi ε0 )/m4 (z1[t]-z4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
(-q4*q2/(4Pi ε0 )/m4 (z2[t]-z4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
(-q4*q3/(4Pi ε0 )/m4 (z3[t]-z4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
(-q4*q5/(4Pi ε0 )/m4 (z5[t]-z4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
(-q4*q6/(4Pi ε0 )/m4 (z6[t]-z4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
(-q4*q7/(4Pi ε0 )/m4 (z7[t]-z4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
(-q4*q8/(4Pi ε0 )/m4 (z8[t]-z4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
(-q4*q9/(4Pi ε0 )/m4 (z9[t]-z4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
(-q4*q0/(4Pi ε0 )/m4 (z0[t]-z4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]],
 
vx5'[t] ==
(G m1 (x1[t]-x5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
(G m2 (x2[t]-x5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
(G m3 (x3[t]-x5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
(G m4 (x4[t]-x5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
(G m6 (x6[t]-x5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
(G m7 (x7[t]-x5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
(G m8 (x8[t]-x5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
(G m9 (x9[t]-x5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
(G m0 (x0[t]-x5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]+
If[q5 == 0, 0,
(-q5*q1/(4Pi ε0 )/m5 (x1[t]-x5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
(-q5*q2/(4Pi ε0 )/m5 (x2[t]-x5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
(-q5*q3/(4Pi ε0 )/m5 (x3[t]-x5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
(-q5*q4/(4Pi ε0 )/m5 (x4[t]-x5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
(-q5*q6/(4Pi ε0 )/m5 (x6[t]-x5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
(-q5*q7/(4Pi ε0 )/m5 (x7[t]-x5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
(-q5*q8/(4Pi ε0 )/m5 (x8[t]-x5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
(-q5*q9/(4Pi ε0 )/m5 (x9[t]-x5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
(-q5*q0/(4Pi ε0 )/m5 (x0[t]-x5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]],
 
vy5'[t] ==
(G m1 (y1[t]-y5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
(G m2 (y2[t]-y5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
(G m3 (y3[t]-y5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
(G m4 (y4[t]-y5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
(G m6 (y6[t]-y5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
(G m7 (y7[t]-y5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
(G m8 (y8[t]-y5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
(G m9 (y9[t]-y5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
(G m0 (y0[t]-y5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]+
If[q5 == 0, 0,
(-q5*q1/(4Pi ε0 )/m5 (y1[t]-y5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
(-q5*q2/(4Pi ε0 )/m5 (y2[t]-y5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
(-q5*q3/(4Pi ε0 )/m5 (y3[t]-y5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
(-q5*q4/(4Pi ε0 )/m5 (y4[t]-y5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
(-q5*q6/(4Pi ε0 )/m5 (y6[t]-y5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
(-q5*q7/(4Pi ε0 )/m5 (y7[t]-y5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
(-q5*q8/(4Pi ε0 )/m5 (y8[t]-y5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
(-q5*q9/(4Pi ε0 )/m5 (y9[t]-y5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
(-q5*q0/(4Pi ε0 )/m5 (y0[t]-y5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]],
 
vz5'[t] ==
(G m1 (z1[t]-z5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
(G m2 (z2[t]-z5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
(G m3 (z3[t]-z5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
(G m4 (z4[t]-z5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
(G m6 (z6[t]-z5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
(G m7 (z7[t]-z5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
(G m8 (z8[t]-z5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
(G m9 (z9[t]-z5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
(G m0 (z0[t]-z5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]+
If[q5 == 0, 0,
(-q5*q1/(4Pi ε0 )/m5 (z1[t]-z5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
(-q5*q2/(4Pi ε0 )/m5 (z2[t]-z5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
(-q5*q3/(4Pi ε0 )/m5 (z3[t]-z5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
(-q5*q4/(4Pi ε0 )/m5 (z4[t]-z5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
(-q5*q6/(4Pi ε0 )/m5 (z6[t]-z5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
(-q5*q7/(4Pi ε0 )/m5 (z7[t]-z5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
(-q5*q8/(4Pi ε0 )/m5 (z8[t]-z5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
(-q5*q9/(4Pi ε0 )/m5 (z9[t]-z5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
(-q5*q0/(4Pi ε0 )/m5 (z0[t]-z5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]],

vx6'[t] ==
(G m1 (x1[t]-x6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
(G m2 (x2[t]-x6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
(G m3 (x3[t]-x6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
(G m4 (x4[t]-x6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
(G m5 (x5[t]-x6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
(G m7 (x7[t]-x6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
(G m8 (x8[t]-x6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
(G m9 (x9[t]-x6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
(G m0 (x0[t]-x6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]+
If[q6 == 0, 0,
(-q6*q1/(4Pi ε0 )/m6 (x1[t]-x6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
(-q6*q2/(4Pi ε0 )/m6 (x2[t]-x6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
(-q6*q3/(4Pi ε0 )/m6 (x3[t]-x6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
(-q6*q4/(4Pi ε0 )/m6 (x4[t]-x6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
(-q6*q5/(4Pi ε0 )/m6 (x5[t]-x6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
(-q6*q7/(4Pi ε0 )/m6 (x7[t]-x6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
(-q6*q8/(4Pi ε0 )/m6 (x8[t]-x6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
(-q6*q9/(4Pi ε0 )/m6 (x9[t]-x6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
(-q6*q0/(4Pi ε0 )/m6 (x0[t]-x6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]],
 
vy6'[t] ==
(G m1 (y1[t]-y6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
(G m2 (y2[t]-y6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
(G m3 (y3[t]-y6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
(G m4 (y4[t]-y6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
(G m5 (y5[t]-y6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
(G m7 (y7[t]-y6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
(G m8 (y8[t]-y6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
(G m9 (y9[t]-y6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
(G m0 (y0[t]-y6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]+
If[q6 == 0, 0,
(-q6*q1/(4Pi ε0 )/m6 (y1[t]-y6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
(-q6*q2/(4Pi ε0 )/m6 (y2[t]-y6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
(-q6*q3/(4Pi ε0 )/m6 (y3[t]-y6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
(-q6*q4/(4Pi ε0 )/m6 (y4[t]-y6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
(-q6*q5/(4Pi ε0 )/m6 (y5[t]-y6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
(-q6*q7/(4Pi ε0 )/m6 (y7[t]-y6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
(-q6*q8/(4Pi ε0 )/m6 (y8[t]-y6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
(-q6*q9/(4Pi ε0 )/m6 (y9[t]-y6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
(-q6*q0/(4Pi ε0 )/m6 (y0[t]-y6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]],
 
vz6'[t] ==
(G m1 (z1[t]-z6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
(G m2 (z2[t]-z6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
(G m3 (z3[t]-z6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
(G m4 (z4[t]-z6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
(G m5 (z5[t]-z6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
(G m7 (z7[t]-z6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
(G m8 (z8[t]-z6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
(G m9 (z9[t]-z6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
(G m0 (z0[t]-z6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]+
If[q6 == 0, 0,
(-q6*q1/(4Pi ε0 )/m6 (z1[t]-z6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
(-q6*q2/(4Pi ε0 )/m6 (z2[t]-z6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
(-q6*q3/(4Pi ε0 )/m6 (z3[t]-z6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
(-q6*q4/(4Pi ε0 )/m6 (z4[t]-z6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
(-q6*q5/(4Pi ε0 )/m6 (z5[t]-z6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
(-q6*q7/(4Pi ε0 )/m6 (z7[t]-z6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
(-q6*q8/(4Pi ε0 )/m6 (z8[t]-z6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
(-q6*q9/(4Pi ε0 )/m6 (z9[t]-z6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
(-q6*q0/(4Pi ε0 )/m6 (z0[t]-z6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]],

vx7'[t] ==
(G m1 (x1[t]-x7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
(G m2 (x2[t]-x7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
(G m3 (x3[t]-x7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
(G m4 (x4[t]-x7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
(G m5 (x5[t]-x7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
(G m6 (x6[t]-x7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
(G m8 (x8[t]-x7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
(G m9 (x9[t]-x7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
(G m0 (x0[t]-x7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]+
If[q7 == 0, 0,
(-q7*q1/(4Pi ε0 )/m7 (x1[t]-x7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
(-q7*q2/(4Pi ε0 )/m7 (x2[t]-x7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
(-q7*q3/(4Pi ε0 )/m7 (x3[t]-x7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
(-q7*q4/(4Pi ε0 )/m7 (x4[t]-x7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
(-q7*q5/(4Pi ε0 )/m7 (x5[t]-x7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
(-q7*q6/(4Pi ε0 )/m7 (x6[t]-x7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
(-q7*q8/(4Pi ε0 )/m7 (x8[t]-x7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
(-q7*q9/(4Pi ε0 )/m7 (x9[t]-x7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
(-q7*q0/(4Pi ε0 )/m7 (x0[t]-x7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]],
 
vy7'[t] ==
(G m1 (y1[t]-y7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
(G m2 (y2[t]-y7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
(G m3 (y3[t]-y7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
(G m4 (y4[t]-y7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
(G m5 (y5[t]-y7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
(G m6 (y6[t]-y7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
(G m8 (y8[t]-y7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
(G m9 (y9[t]-y7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
(G m0 (y0[t]-y7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]+
If[q7 == 0, 0,
(-q7*q1/(4Pi ε0 )/m7 (y1[t]-y7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
(-q7*q2/(4Pi ε0 )/m7 (y2[t]-y7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
(-q7*q3/(4Pi ε0 )/m7 (y3[t]-y7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
(-q7*q4/(4Pi ε0 )/m7 (y4[t]-y7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
(-q7*q5/(4Pi ε0 )/m7 (y5[t]-y7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
(-q7*q6/(4Pi ε0 )/m7 (y6[t]-y7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
(-q7*q8/(4Pi ε0 )/m7 (y8[t]-y7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
(-q7*q9/(4Pi ε0 )/m7 (y9[t]-y7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
(-q7*q0/(4Pi ε0 )/m7 (y0[t]-y7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]],
 
vz7'[t] ==
(G m1 (z1[t]-z7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
(G m2 (z2[t]-z7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
(G m3 (z3[t]-z7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
(G m4 (z4[t]-z7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
(G m5 (z5[t]-z7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
(G m6 (z6[t]-z7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
(G m8 (z8[t]-z7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
(G m9 (z9[t]-z7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
(G m0 (z0[t]-z7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]+
If[q7 == 0, 0,
(-q7*q1/(4Pi ε0 )/m7 (z1[t]-z7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
(-q7*q2/(4Pi ε0 )/m7 (z2[t]-z7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
(-q7*q3/(4Pi ε0 )/m7 (z3[t]-z7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
(-q7*q4/(4Pi ε0 )/m7 (z4[t]-z7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
(-q7*q5/(4Pi ε0 )/m7 (z5[t]-z7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
(-q7*q6/(4Pi ε0 )/m7 (z6[t]-z7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
(-q7*q8/(4Pi ε0 )/m7 (z8[t]-z7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
(-q7*q9/(4Pi ε0 )/m7 (z9[t]-z7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
(-q7*q0/(4Pi ε0 )/m7 (z0[t]-z7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]],

vx8'[t] ==
(G m1 (x1[t]-x8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
(G m2 (x2[t]-x8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
(G m3 (x3[t]-x8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
(G m4 (x4[t]-x8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
(G m5 (x5[t]-x8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
(G m6 (x6[t]-x8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
(G m7 (x7[t]-x8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
(G m9 (x9[t]-x8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
(G m0 (x0[t]-x8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]+
If[q8 == 0, 0,
(-q8*q1/(4Pi ε0 )/m8 (x1[t]-x8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
(-q8*q2/(4Pi ε0 )/m8 (x2[t]-x8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
(-q8*q3/(4Pi ε0 )/m8 (x3[t]-x8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
(-q8*q4/(4Pi ε0 )/m8 (x4[t]-x8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
(-q8*q5/(4Pi ε0 )/m8 (x5[t]-x8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
(-q8*q6/(4Pi ε0 )/m8 (x6[t]-x8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
(-q8*q7/(4Pi ε0 )/m8 (x7[t]-x8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
(-q8*q9/(4Pi ε0 )/m8 (x9[t]-x8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
(-q8*q0/(4Pi ε0 )/m8 (x0[t]-x8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]],
 
vy8'[t] ==
(G m1 (y1[t]-y8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
(G m2 (y2[t]-y8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
(G m3 (y3[t]-y8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
(G m4 (y4[t]-y8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
(G m5 (y5[t]-y8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
(G m6 (y6[t]-y8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
(G m7 (y7[t]-y8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
(G m9 (y9[t]-y8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
(G m0 (y0[t]-y8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]+
If[q8 == 0, 0,
(-q8*q1/(4Pi ε0 )/m8 (y1[t]-y8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
(-q8*q2/(4Pi ε0 )/m8 (y2[t]-y8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
(-q8*q3/(4Pi ε0 )/m8 (y3[t]-y8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
(-q8*q4/(4Pi ε0 )/m8 (y4[t]-y8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
(-q8*q5/(4Pi ε0 )/m8 (y5[t]-y8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
(-q8*q6/(4Pi ε0 )/m8 (y6[t]-y8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
(-q8*q7/(4Pi ε0 )/m8 (y7[t]-y8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
(-q8*q9/(4Pi ε0 )/m8 (y9[t]-y8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
(-q8*q0/(4Pi ε0 )/m8 (y0[t]-y8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]],
 
vz8'[t] ==
(G m1 (z1[t]-z8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
(G m2 (z2[t]-z8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
(G m3 (z3[t]-z8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
(G m4 (z4[t]-z8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
(G m5 (z5[t]-z8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
(G m6 (z6[t]-z8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
(G m7 (z7[t]-z8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
(G m9 (z9[t]-z8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
(G m0 (z0[t]-z8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]+
If[q8 == 0, 0,
(-q8*q1/(4Pi ε0 )/m8 (z1[t]-z8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
(-q8*q2/(4Pi ε0 )/m8 (z2[t]-z8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
(-q8*q3/(4Pi ε0 )/m8 (z3[t]-z8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
(-q8*q4/(4Pi ε0 )/m8 (z4[t]-z8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
(-q8*q5/(4Pi ε0 )/m8 (z5[t]-z8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
(-q8*q6/(4Pi ε0 )/m8 (z6[t]-z8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
(-q8*q7/(4Pi ε0 )/m8 (z7[t]-z8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
(-q8*q9/(4Pi ε0 )/m8 (z9[t]-z8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
(-q8*q0/(4Pi ε0 )/m8 (z0[t]-z8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]],

vx9'[t] ==
(G m1 (x1[t]-x9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
(G m2 (x2[t]-x9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
(G m3 (x3[t]-x9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
(G m4 (x4[t]-x9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
(G m5 (x5[t]-x9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
(G m6 (x6[t]-x9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
(G m7 (x7[t]-x9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
(G m8 (x8[t]-x9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
(G m0 (x0[t]-x9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]+
If[q9 == 0, 0,
(-q9*q1/(4Pi ε0 )/m9 (x1[t]-x9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
(-q9*q2/(4Pi ε0 )/m9 (x2[t]-x9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
(-q9*q3/(4Pi ε0 )/m9 (x3[t]-x9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
(-q9*q4/(4Pi ε0 )/m9 (x4[t]-x9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
(-q9*q5/(4Pi ε0 )/m9 (x5[t]-x9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
(-q9*q6/(4Pi ε0 )/m9 (x6[t]-x9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
(-q9*q7/(4Pi ε0 )/m9 (x7[t]-x9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
(-q9*q8/(4Pi ε0 )/m9 (x8[t]-x9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
(-q9*q0/(4Pi ε0 )/m9 (x0[t]-x9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]],
 
vy9'[t] ==
(G m1 (y1[t]-y9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
(G m2 (y2[t]-y9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
(G m3 (y3[t]-y9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
(G m4 (y4[t]-y9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
(G m5 (y5[t]-y9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
(G m6 (y6[t]-y9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
(G m7 (y7[t]-y9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
(G m8 (y8[t]-y9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
(G m0 (y0[t]-y9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]+
If[q9 == 0, 0,
(-q9*q1/(4Pi ε0 )/m9 (y1[t]-y9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
(-q9*q2/(4Pi ε0 )/m9 (y2[t]-y9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
(-q9*q3/(4Pi ε0 )/m9 (y3[t]-y9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
(-q9*q4/(4Pi ε0 )/m9 (y4[t]-y9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
(-q9*q5/(4Pi ε0 )/m9 (y5[t]-y9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
(-q9*q6/(4Pi ε0 )/m9 (y6[t]-y9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
(-q9*q7/(4Pi ε0 )/m9 (y7[t]-y9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
(-q9*q8/(4Pi ε0 )/m9 (y8[t]-y9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
(-q9*q0/(4Pi ε0 )/m9 (y0[t]-y9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]],
 
vz9'[t] ==
(G m1 (z1[t]-z9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
(G m2 (z2[t]-z9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
(G m3 (z3[t]-z9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
(G m4 (z4[t]-z9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
(G m5 (z5[t]-z9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
(G m6 (z6[t]-z9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
(G m7 (z7[t]-z9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
(G m8 (z8[t]-z9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
(G m0 (z0[t]-z9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]+
If[q9 == 0, 0,
(-q9*q1/(4Pi ε0 )/m9 (z1[t]-z9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
(-q9*q2/(4Pi ε0 )/m9 (z2[t]-z9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
(-q9*q3/(4Pi ε0 )/m9 (z3[t]-z9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
(-q9*q4/(4Pi ε0 )/m9 (z4[t]-z9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
(-q9*q5/(4Pi ε0 )/m9 (z5[t]-z9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
(-q9*q6/(4Pi ε0 )/m9 (z6[t]-z9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
(-q9*q7/(4Pi ε0 )/m9 (z7[t]-z9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
(-q9*q8/(4Pi ε0 )/m9 (z8[t]-z9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
(-q9*q0/(4Pi ε0 )/m9 (z0[t]-z9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]],

vx0'[t] ==
(G m1 (x1[t]-x0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
(G m2 (x2[t]-x0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
(G m3 (x3[t]-x0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
(G m4 (x4[t]-x0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
(G m5 (x5[t]-x0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
(G m6 (x6[t]-x0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
(G m7 (x7[t]-x0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
(G m8 (x8[t]-x0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
(G m9 (x9[t]-x0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]+
If[q0 == 0, 0,
(-q0*q1/(4Pi ε0 )/m0 (x1[t]-x0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
(-q0*q2/(4Pi ε0 )/m0 (x2[t]-x0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
(-q0*q3/(4Pi ε0 )/m0 (x3[t]-x0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
(-q0*q4/(4Pi ε0 )/m0 (x4[t]-x0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
(-q0*q5/(4Pi ε0 )/m0 (x5[t]-x0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
(-q0*q6/(4Pi ε0 )/m0 (x6[t]-x0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
(-q0*q7/(4Pi ε0 )/m0 (x7[t]-x0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
(-q0*q8/(4Pi ε0 )/m0 (x8[t]-x0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
(-q0*q9/(4Pi ε0 )/m0 (x9[t]-x0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]],
 
vy0'[t] ==
(G m1 (y1[t]-y0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
(G m2 (y2[t]-y0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
(G m3 (y3[t]-y0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
(G m4 (y4[t]-y0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
(G m5 (y5[t]-y0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
(G m6 (y6[t]-y0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
(G m7 (y7[t]-y0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
(G m8 (y8[t]-y0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
(G m9 (y9[t]-y0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]+
If[q0 == 0, 0,
(-q0*q1/(4Pi ε0 )/m0 (y1[t]-y0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
(-q0*q2/(4Pi ε0 )/m0 (y2[t]-y0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
(-q0*q3/(4Pi ε0 )/m0 (y3[t]-y0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
(-q0*q4/(4Pi ε0 )/m0 (y4[t]-y0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
(-q0*q5/(4Pi ε0 )/m0 (y5[t]-y0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
(-q0*q6/(4Pi ε0 )/m0 (y6[t]-y0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
(-q0*q7/(4Pi ε0 )/m0 (y7[t]-y0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
(-q0*q8/(4Pi ε0 )/m0 (y8[t]-y0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
(-q0*q9/(4Pi ε0 )/m0 (y9[t]-y0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]],
 
vz0'[t] ==
(G m1 (z1[t]-z0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
(G m2 (z2[t]-z0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
(G m3 (z3[t]-z0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
(G m4 (z4[t]-z0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
(G m5 (z5[t]-z0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
(G m6 (z6[t]-z0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
(G m7 (z7[t]-z0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
(G m8 (z8[t]-z0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
(G m9 (z9[t]-z0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]+
If[q0 == 0, 0,
(-q0*q1/(4Pi ε0 )/m0 (z1[t]-z0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
(-q0*q2/(4Pi ε0 )/m0 (z2[t]-z0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
(-q0*q3/(4Pi ε0 )/m0 (z3[t]-z0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
(-q0*q4/(4Pi ε0 )/m0 (z4[t]-z0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
(-q0*q5/(4Pi ε0 )/m0 (z5[t]-z0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
(-q0*q6/(4Pi ε0 )/m0 (z6[t]-z0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
(-q0*q7/(4Pi ε0 )/m0 (z7[t]-z0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
(-q0*q8/(4Pi ε0 )/m0 (z8[t]-z0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
(-q0*q9/(4Pi ε0 )/m0 (z9[t]-z0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]],
 
x1[0] == x1x, y1[0] == y1y, z1[0] == z1z,
x2[0] == x2x, y2[0] == y2y, z2[0] == z2z,
x3[0] == x3x, y3[0] == y3y, z3[0] == z3z,
x4[0] == x4x, y4[0] == y4y, z4[0] == z4z,
x5[0] == x5x, y5[0] == y5y, z5[0] == z5z,
x6[0] == x6x, y6[0] == y6y, z6[0] == z6z,
x7[0] == x7x, y7[0] == y7y, z7[0] == z7z,
x8[0] == x8x, y8[0] == y8y, z8[0] == z8z,
x9[0] == x9x, y9[0] == y9y, z9[0] == z9z,
x0[0] == x0x, y0[0] == y0y, z0[0] == z0z,
 
vx1[0] == v1x, vy1[0] == v1y, vz1[0] == v1z,
vx2[0] == v2x, vy2[0] == v2y, vz2[0] == v2z,
vx3[0] == v3x, vy3[0] == v3y, vz3[0] == v3z,
vx4[0] == v4x, vy4[0] == v4y, vz4[0] == v4z,
vx5[0] == v5x, vy5[0] == v5y, vz5[0] == v5z,
vx6[0] == v6x, vy6[0] == v6y, vz6[0] == v6z,
vx7[0] == v7x, vy7[0] == v7y, vz7[0] == v7z,
vx8[0] == v8x, vy8[0] == v8y, vz8[0] == v8z,
vx9[0] == v9x, vy9[0] == v9y, vz9[0] == v9z,
vx0[0] == v0x, vy0[0] == v0y, vz0[0] == v0z},
 
{x1, x2, x3, x4, x5, x6, x7, x8, x9, x0, y1, y2, y3, y4, y5, y6, y7, y8, y9, y0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z0,
vx1, vx2, vx3, vx4, vx5, vx6, vx7, vx8, vx9, vx0, vy1, vy2, vy3, vy4, vy5, vy6, vy7, vy8, vy9, vy0, vz1, vz2, vz3, vz4, vz5, vz6, vz7, vz8, vz9, vz0},
 
{t, 0, Tmax},

WorkingPrecision-> wp,
MaxSteps-> Infinity,
Method-> mta,
InterpolationOrder-> All];
 
(* Position, Geschwindigkeit *)
 
f2p[t_]={{x1[t], y1[t], z1[t]}, {x2[t], y2[t], z2[t]}, {x3[t], y3[t], z3[t]}, {x4[t], y4[t], z4[t]}, {x5[t], y5[t], z5[t]}, {x6[t], y6[t], z6[t]}, {x7[t], y7[t], z7[t]}, {x8[t], y8[t], z8[t]}, {x9[t], y9[t], z9[t]}, {x0[t], y0[t], z0[t]}}/.nds[[1]];
f2v[t_]={{vx1[t], vy1[t], vz1[t]}, {vx2[t], vy2[t], vz2[t]}, {vx3[t], vy3[t], vz3[t]}, {vx4[t], vy4[t], vz4[t]}, {vx5[t], vy5[t], vz5[t]}, {vx6[t], vy6[t], vz6[t]}, {vx7[t], vy7[t], vz7[t]}, {vx8[t], vy8[t], vz8[t]}, {vx9[t], vy9[t], vz9[t]}, {vx0[t], vy0[t], vz0[t]}}/.nds[[1]];
swp[t_]=(m1 Evaluate[f2p[t][[1]]]+m2 Evaluate[f2p[t][[2]]]+m3 Evaluate[f2p[t][[3]]]+m4 Evaluate[f2p[t][[4]]]+m5 Evaluate[f2p[t][[5]]]+m6 Evaluate[f2p[t][[6]]]+m7 Evaluate[f2p[t][[7]]]+m8 Evaluate[f2p[t][[8]]]+m9 Evaluate[f2p[t][[9]]]+m0 Evaluate[f2p[t][[10]]])/(m1+m2+m3+m4+m5+m6+m7+m8+m9+m0);
 
(* Formatierung *)
 
s[text_]=Style[text, FontSize->11];
sw[text_]=Style[text, White, FontSize->11];
colorfunc[n_]=Function[{x, y, z, t},
Hue[0, n, 0.5,
If[Tmax<0, Max[Min[(+T+(-t+trail))/trail, 1], 0],
Max[Min[(-T+(t+trail))/trail, 1], 0]]]];
 
(* Animation *)
 
Do[Print[Rasterize[
Grid[{{
Show[

If[T == 0, {},

ParametricPlot3D[Evaluate[f2p[t]],
{t, Max[0, T-trail], T},

PlotStyle->{
{Thickness[thk], Hue[10/10]},
{Thickness[thk], Hue[05/10]},
{Thickness[thk], Hue[09/10]},
{Thickness[thk], Hue[04/10]},
{Thickness[thk], Hue[08/10]},
{Thickness[thk], Hue[03/10]},
{Thickness[thk], Hue[07/10]},
{Thickness[thk], Hue[02/10]},
{Thickness[thk], Hue[06/10]},
{Thickness[thk], Hue[01/10]}},

PlotRange->plotrange, AspectRatio->1, MaxRecursion->15, Axes->True, ImageSize->imagesize]],
 
Graphics3D[
If[startpos==1, {
{PointSize[2point/3], Hue[10/10], Point[{x1x, y1y, z1z}]},
{PointSize[2point/3], Hue[05/10], Point[{x2x, y2y, z2z}]},
{PointSize[2point/3], Hue[09/10], Point[{x3x, y3y, z3z}]},
{PointSize[2point/3], Hue[04/10], Point[{x4x, y4y, z4z}]},
{PointSize[2point/3], Hue[08/10], Point[{x5x, y5y, z5z}]},
{PointSize[2point/3], Hue[03/10], Point[{x6x, y6y, z6z}]},
{PointSize[2point/3], Hue[07/10], Point[{x7x, y7y, z7z}]},
{PointSize[2point/3], Hue[02/10], Point[{x8x, y8y, z8z}]},
{PointSize[2point/3], Hue[06/10], Point[{x9x, y9y, z9z}]},
{PointSize[2point/3], Hue[01/10], Point[{x0x, y0y, z0z}]}
}, {}],

PlotRange->plotrange, AspectRatio->1, Axes->True, ImageSize->imagesize],
 
Graphics3D[{PointSize[point], Hue[10/10], Point[Evaluate[f2p[T]][[1]]]}],
Graphics3D[{PointSize[point], Hue[05/10], Point[Evaluate[f2p[T]][[2]]]}],
Graphics3D[{PointSize[point], Hue[09/10], Point[Evaluate[f2p[T]][[3]]]}],
Graphics3D[{PointSize[point], Hue[04/10], Point[Evaluate[f2p[T]][[4]]]}],
Graphics3D[{PointSize[point], Hue[08/10], Point[Evaluate[f2p[T]][[5]]]}],
Graphics3D[{PointSize[point], Hue[03/10], Point[Evaluate[f2p[T]][[6]]]}],
Graphics3D[{PointSize[point], Hue[07/10], Point[Evaluate[f2p[T]][[7]]]}],
Graphics3D[{PointSize[point], Hue[02/10], Point[Evaluate[f2p[T]][[8]]]}],
Graphics3D[{PointSize[point], Hue[06/10], Point[Evaluate[f2p[T]][[9]]]}],
Graphics3D[{PointSize[point], Hue[01/10], Point[Evaluate[f2p[T]][[10]]]}],
 
ViewPoint->viewpoint]},
 
{ },
{s["t"->N[T]], sw[1/2]},
{ },
{s["Sun    {}" -> {m1}], sw[1/2]},
{s["p1{x,y,z}"-> Evaluate[f2p[T][[1]]]],            sw[1/2]},
{s["v1{x,y,z}"-> Evaluate[f2v[T][[1]]]],            sw[1/2]},
{s["v1{total}"->{Evaluate[Norm[f2v[T][[1]]]]}],     sw[1/2]},
{ },
{s["Mercury{}" -> {m2} ], sw[1/2]},
{s["p2{x,y,z}"-> Evaluate[f2p[T][[2]]]],            sw[1/2]},
{s["v2{x,y,z}"-> Evaluate[f2v[T][[2]]]],            sw[1/2]},
{s["v2{total}"->{Evaluate[Norm[f2v[T][[2]]]]}],     sw[1/2]},
{ },
{s["Venus  {}" -> {m3}], sw[1/2]},
{s["p3{x,y,z}"-> Evaluate[f2p[T][[3]]]],            sw[1/2]},
{s["v3{x,y,z}"-> Evaluate[f2v[T][[3]]]],            sw[1/2]},
{s["v3{total}"->{Evaluate[Norm[f2v[T][[3]]]]}],     sw[1/2]},
{ },
{s["Earth  {}" -> {m4} ], sw[1/2]},
{s["p4{x,y,z}"-> Evaluate[f2p[T][[4]]]],            sw[1/2]},
{s["v4{x,y,z}"-> Evaluate[f2v[T][[4]]]],            sw[1/2]},
{s["v4{total}"->{Evaluate[Norm[f2v[T][[4]]]]}],     sw[1/2]},
{ },
{s["Mars   {}" -> {m5} ], sw[1/2]},
{s["p5{x,y,z}"-> Evaluate[f2p[T][[5]]]],            sw[1/2]},
{s["v5{x,y,z}"-> Evaluate[f2v[T][[5]]]],            sw[1/2]},
{s["v5{total}"->{Evaluate[Norm[f2v[T][[5]]]]}],     sw[1/2]},
{ },
{s["Jupiter{}" -> {m6 }], sw[1/2]},
{s["p6{x,y,z}"-> Evaluate[f2p[T][[6]]]],            sw[1/2]},
{s["v6{x,y,z}"-> Evaluate[f2v[T][[6]]]],            sw[1/2]},
{s["v6{total}"->{Evaluate[Norm[f2v[T][[6]]]]}],     sw[1/2]},
{ },
{s["Saturn {}" -> {m7 }], sw[1/2]},
{s["p7{x,y,z}"-> Evaluate[f2p[T][[7]]]],            sw[1/2]},
{s["v7{x,y,z}"-> Evaluate[f2v[T][[7]]]],            sw[1/2]},
{s["v7{total}"->{Evaluate[Norm[f2v[T][[7]]]]}],     sw[1/2]},
{ },
{s["Uranus {}" -> {m8}], sw[1/2]},
{s["p8{x,y,z}"-> Evaluate[f2p[T][[8]]]],            sw[1/2]},
{s["v8{x,y,z}"-> Evaluate[f2v[T][[8]]]],            sw[1/2]},
{s["v8{total}"->{Evaluate[Norm[f2v[T][[8]]]]}],     sw[1/2]},
{ },
{s["Neptune{}" -> {m9}], sw[1/2]},
{s["p9{x,y,z}"-> Evaluate[f2p[T][[9]]]],            sw[1/2]},
{s["v9{x,y,z}"-> Evaluate[f2v[T][[9]]]],            sw[1/2]},
{s["v9{total}"->{Evaluate[Norm[f2v[T][[9]]]]}],     sw[1/2]},
{ },
{s["Pluto  {}" -> {m0} ], sw[1/2]},
{s["p0{x,y,z}"-> Evaluate[f2p[T][[10]]]],           sw[1/2]},
{s["v0{x,y,z}"-> Evaluate[f2v[T][[10]]]],           sw[1/2]},
{s["v0{total}"->{Evaluate[Norm[f2v[T][[10]]]]}],    sw[1/2]},
{ },
{s["System {}" -> {m1+m2+m3+m4+m5+m6+m7+m8+m9+m0}], sw[1/2]},
{s["ps{x,y,z}"-> swp[T]],                           sw[1/2]},
{s["vs{x,y,z}"-> swp'[T]],                          sw[1/2]},
{s["vs{total}"->{Norm[swp'[T]]}],                   sw[1/2]}
}, Alignment->Left]]],
 
(* Zeitregler *)
 
{T, 0, Tmax, Tmax/5}]

(* Export als HTML Dokument *)
(* Export["dateiname.html", EvaluationNotebook[], "GraphicsOutput" -> "PNG"] *)
(* Export direkt als Bildsequenz *)
(* Do[Export["dateiname" <> ToString[T] <> ".png", Rasterize[...] ], {T, 0, 10, 5}] *)