# Gravity & Charge, 10 Body Simulator

Feb 20th, 2019 (edited)
94
Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
1. (* |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||| *)
2. (* ||| Mathematica Syntax || yukterez.net || n Body Newtonian Mass & Charge Simulator ||| *)
3. (* |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||| *)
4.
5. ClearAll["Global`*"]; ClearAll["Local`*"];
6. Needs["DifferentialEquations`NDSolveProblems`"];
7. Needs["DifferentialEquations`NDSolveUtilities`"];
8.
9. Amp = 1; kg = 1; m = 1; sek = 1; km = 1000 m; (* SI Einheiten *)
10.
11. mt1 = {"StiffnessSwitching", Method-> {"ExplicitRungeKutta", Automatic}};
12. mt2 = {"ImplicitRungeKutta", "DifferenceOrder"-> 20};
13. mt3 = {"EquationSimplification"-> "Residual"};
14. mt0 = Automatic;
15. mta = mt2;
16. wp = MachinePrecision;
17.
18. (* Plot Optionen *)
19.
20. Tmax = 40 yr;
21. tMax = Min[Tmax, plunge];
22. trail = 10 yr;
23. point = 0.015;
24. thk = 0.004;
25. plotrange = 50 Au {{-1, +1}, {-1, +1}, {-1, +1}};
26. viewpoint = {40, 30, 20};
27. imagesize = 430;
28. startpos = 0;
29.
30. (* Konstanten *)
31.
32. G = 667384/10^16 m^3/kg/sek^2;
33. Λ = 11056*^-56/m^2;
34. ε0 = 8854187817*^-21 Amp^2 sek^4/kg/m^3;
35. c = 299792458 m/sek;
36. Au = 149597870700 m;
37. dy = 24*3600 sek;
38. yr = 36525*dy/100;
39. (* Ephemeriden vom 19.02.2019, 0:00:00 TDB *)
40. (* Sonne *)
41.
42. m1 = +1.988435*^30 kg;
43. q1 = +77 Amp sek;
44.
45. x1x = -1.147196570503204*^-03 Au;
46. y1y = +7.515074431920434*^-03 Au;
47. z1z = -4.730273651193038*^-05 Au;
48.
49. v1x = -8.107931162902937*^-06 Au/dy;
50. v1y = +1.520849732928662*^-06 Au/dy;
51. v1z = +2.095554598567427*^-07 Au/dy;
52.
53. (* Merkur *)
54.
55. m2 = +3.30104*^23 kg;
56. q2 = +0 Amp sek;
57.
58. x2x = +2.493682187528474*^-01 Au;
59. y2y = +2.060848667278006*^-01 Au;
60. z2z = -6.803162776737710*^-03 Au;
61.
62. v2x = -2.301828852252654*^-02 Au/dy;
63. v2y = +2.326003199133993*^-02 Au/dy;
64. v2z = +4.011640539083395*^-03 Au/dy;
65.
66. (* Venus *)
67.
68. m3 = +4.86732*^24 kg;
69. q3 = +0 Amp sek;
70.
71. x3x = -5.604572600267276*^-01 Au;
72. y3y = -4.500554270408416*^-01 Au;
73. z3z = +2.595073246894732*^-02 Au;
74.
75. v3x = +1.265689462094818*^-02 Au/dy;
76. v3y = -1.574829638876520*^-02 Au/dy;
77. v3z = -9.467652690844731*^-04 Au/dy;
78.
79. (* Erde + Mond *)
80.
81. m4 = +5.9721986*^24 kg+7.3459*^22 kg;
82. q4 = +0 Amp sek;
83.
84. x4x = -8.552072163834489*^-01 Au;
85. y4y = +5.049715021822364*^-01 Au;
86. z4z = -6.849877545851131*^-05 Au;
87.
88. v4x = -8.942912568116291*^-03 Au/dy;
89. v4y = -1.492365678503182*^-02 Au/dy;
90. v4z = +2.741178622694643*^-07 Au/dy;
91.
92. (* Mars *)
93.
94. m5 = +6.41693*^23 kg;
95. q5 = +0 Amp sek;
96.
97. x5x = +5.580724605736193*^-01 Au;
98. y5y = +1.416261572201534*^+00 Au;
99. z5z = +1.574925082740965*^-02 Au;
100.
101. v5x = -1.248544019487808*^-02 Au/dy;
102. v5y = +6.355083417008326*^-03 Au/dy;
103. v5z = +4.394992947386628*^-04 Au/dy;
104.
105. (* Jupiter *)
106.
107. m6 = +1.89813*^27 kg;
108. q6 = +0 Amp sek;
109.
110. x6x = -1.795821860926694*^+00 Au;
111. y6y = -5.016469167174772*^+00 Au;
112. z6z = +6.097587180308248*^-02 Au;
113.
114. v6x = +7.014525824256318*^-03 Au/dy;
115. v6y = -2.183010990796764*^-03 Au/dy;
116. v6z = -1.478090774743338*^-04 Au/dy;
117.
118. (* Saturn *)
119.
120. m7 = +5.68319*^26 kg;
121. q7 = +0 Amp sek;
122.
123. x7x = +2.211165351380597*^+00 Au;
124. y7y = -9.803846216723874*^+00 Au;
125. z7z = +8.244475037063657*^-02 Au;
126.
127. v7x = +5.133965065556525*^-03 Au/dy;
128. v7y = +1.210333590471664*^-03 Au/dy;
129. v7z = -2.255855621236429*^-04 Au/dy;
130.
131. (* Uranus *)
132.
133. m8 = +8.68103*^25 kg;
134. q8 = +0 Amp sek;
135.
136. x8x = +1.691367572961052*^+01 Au;
137. y8y = +1.040615964042521*^+01 Au;
138. z8z = -1.804702052122950*^-01 Au;
139.
140. v8x = -2.089933372733080*^-03 Au/dy;
141. v8y = +3.166549064213605*^-03 Au/dy;
142. v8z = +3.884093561739733*^-05 Au/dy;
143.
144. (* Neptun *)
145.
146. m9 = +1.02413*^26 kg;
147. q9 = +0 Amp sek;
148.
149. x9x = +2.901867480863295*^+01 Au;
150. y9y = -7.331260396521146*^+00 Au;
151. z9z = -5.177914737734761*^-01 Au;
152.
153. v9x = +7.476131405747911*^-04 Au/dy;
154. v9y = +3.062101642790218*^-03 Au/dy;
155. v9z = -8.000840096853115*^-05 Au/dy;
156.
157. (* Pluto + Charon *)
158.
159. m0 = +1.303*^22 kg+1.586*^21 kg;
160. q0 = +0 Amp sek;
161.
162. x0x = +1.202894612500549*^+01 Au;
163. y0y = -3.151878221568063*^+01 Au;
164. z0z = -1.067812248721266*^-01 Au;
165.
166. v0x = +3.004427922255182*^-03 Au/dy;
167. v0y = +4.501898344345873*^-04 Au/dy;
168. v0z = -9.299030165680609*^-04 Au/dy;
169.
170. (* Differentialgleichung *)
171.
172. nds=NDSolve[{
173.
174. x1'[t] == vx1[t], y1'[t] == vy1[t], z1'[t] == vz1[t],
175. x2'[t] == vx2[t], y2'[t] == vy2[t], z2'[t] == vz2[t],
176. x3'[t] == vx3[t], y3'[t] == vy3[t], z3'[t] == vz3[t],
177. x4'[t] == vx4[t], y4'[t] == vy4[t], z4'[t] == vz4[t],
178. x5'[t] == vx5[t], y5'[t] == vy5[t], z5'[t] == vz5[t],
179. x6'[t] == vx6[t], y6'[t] == vy6[t], z6'[t] == vz6[t],
180. x7'[t] == vx7[t], y7'[t] == vy7[t], z7'[t] == vz7[t],
181. x8'[t] == vx8[t], y8'[t] == vy8[t], z8'[t] == vz8[t],
182. x9'[t] == vx9[t], y9'[t] == vy9[t], z9'[t] == vz9[t],
183. x0'[t] == vx0[t], y0'[t] == vy0[t], z0'[t] == vz0[t],
184.
185. vx1'[t] ==
186. (G m2 (x2[t]-x1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
187. (G m3 (x3[t]-x1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
188. (G m4 (x4[t]-x1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
189. (G m5 (x5[t]-x1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
190. (G m6 (x6[t]-x1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
191. (G m7 (x7[t]-x1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
192. (G m8 (x8[t]-x1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
193. (G m9 (x9[t]-x1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
194. (G m0 (x0[t]-x1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]+
195. If[q1 == 0, 0,
196. (-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]+
197. (-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]+
198. (-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]+
199. (-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]+
200. (-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]+
201. (-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]+
202. (-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]+
203. (-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]+
204. (-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]]+
205. Λ*c^2*x1[t]^2/Sqrt[x1[t]^2+y1[t]^2+z1[t]^2],
206.
207. vy1'[t] ==
208. (G m2 (y2[t]-y1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
209. (G m3 (y3[t]-y1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
210. (G m4 (y4[t]-y1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
211. (G m5 (y5[t]-y1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
212. (G m6 (y6[t]-y1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
213. (G m7 (y7[t]-y1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
214. (G m8 (y8[t]-y1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
215. (G m9 (y9[t]-y1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
216. (G m0 (y0[t]-y1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]+
217. If[q1 == 0, 0,
218. (-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]+
219. (-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]+
220. (-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]+
221. (-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]+
222. (-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]+
223. (-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]+
224. (-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]+
225. (-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]+
226. (-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]]+
227. Λ*c^2*y1[t]^2/Sqrt[x1[t]^2+y1[t]^2+z1[t]^2],
228.
229. vz1'[t] ==
230. (G m2 (z2[t]-z1[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
231. (G m3 (z3[t]-z1[t]))/Sqrt[((x3[t]-x1[t])^2+(y3[t]-y1[t])^2+(z3[t]-z1[t])^2)^3]+
232. (G m4 (z4[t]-z1[t]))/Sqrt[((x4[t]-x1[t])^2+(y4[t]-y1[t])^2+(z4[t]-z1[t])^2)^3]+
233. (G m5 (z5[t]-z1[t]))/Sqrt[((x5[t]-x1[t])^2+(y5[t]-y1[t])^2+(z5[t]-z1[t])^2)^3]+
234. (G m6 (z6[t]-z1[t]))/Sqrt[((x6[t]-x1[t])^2+(y6[t]-y1[t])^2+(z6[t]-z1[t])^2)^3]+
235. (G m7 (z7[t]-z1[t]))/Sqrt[((x7[t]-x1[t])^2+(y7[t]-y1[t])^2+(z7[t]-z1[t])^2)^3]+
236. (G m8 (z8[t]-z1[t]))/Sqrt[((x8[t]-x1[t])^2+(y8[t]-y1[t])^2+(z8[t]-z1[t])^2)^3]+
237. (G m9 (z9[t]-z1[t]))/Sqrt[((x9[t]-x1[t])^2+(y9[t]-y1[t])^2+(z9[t]-z1[t])^2)^3]+
238. (G m0 (z0[t]-z1[t]))/Sqrt[((x0[t]-x1[t])^2+(y0[t]-y1[t])^2+(z0[t]-z1[t])^2)^3]+
239. If[q1 == 0, 0,
240. (-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]+
241. (-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]+
242. (-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]+
243. (-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]+
244. (-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]+
245. (-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]+
246. (-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]+
247. (-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]+
248. (-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]]+
249. Λ*c^2*z1[t]^2/Sqrt[x1[t]^2+y1[t]^2+z1[t]^2],
250.
251. vx2'[t] ==
252. (G m1 (x1[t]-x2[t]))/Sqrt[((x1[t]-x2[t])^2+(y1[t]-y2[t])^2+(z1[t]-z2[t])^2)^3]+
253. (G m3 (x3[t]-x2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
254. (G m4 (x4[t]-x2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
255. (G m5 (x5[t]-x2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
256. (G m6 (x6[t]-x2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
257. (G m7 (x7[t]-x2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
258. (G m8 (x8[t]-x2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
259. (G m9 (x9[t]-x2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
260. (G m0 (x0[t]-x2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]+
261. If[q2 == 0, 0,
262. (-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]+
263. (-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]+
264. (-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]+
265. (-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]+
266. (-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]+
267. (-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]+
268. (-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]+
269. (-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]+
270. (-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]]+
271. Λ*c^2*x2[t]^2/Sqrt[x2[t]^2+y2[t]^2+z2[t]^2],
272.
273. vy2'[t] ==
274. (G m1 (y1[t]-y2[t]))/Sqrt[((x1[t]-x2[t])^2+(y1[t]-y2[t])^2+(z1[t]-z2[t])^2)^3]+
275. (G m3 (y3[t]-y2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
276. (G m4 (y4[t]-y2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
277. (G m5 (y5[t]-y2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
278. (G m6 (y6[t]-y2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
279. (G m7 (y7[t]-y2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
280. (G m8 (y8[t]-y2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
281. (G m9 (y9[t]-y2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
282. (G m0 (y0[t]-y2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]+
283. If[q2 == 0, 0,
284. (-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]+
285. (-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]+
286. (-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]+
287. (-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]+
288. (-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]+
289. (-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]+
290. (-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]+
291. (-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]+
292. (-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]]+
293. Λ*c^2*y2[t]^2/Sqrt[x2[t]^2+y2[t]^2+z2[t]^2],
294.
295. vz2'[t] ==
296. (G m1 (z1[t]-z2[t]))/Sqrt[((x2[t]-x1[t])^2+(y2[t]-y1[t])^2+(z2[t]-z1[t])^2)^3]+
297. (G m3 (z3[t]-z2[t]))/Sqrt[((x3[t]-x2[t])^2+(y3[t]-y2[t])^2+(z3[t]-z2[t])^2)^3]+
298. (G m4 (z4[t]-z2[t]))/Sqrt[((x4[t]-x2[t])^2+(y4[t]-y2[t])^2+(z4[t]-z2[t])^2)^3]+
299. (G m5 (z5[t]-z2[t]))/Sqrt[((x5[t]-x2[t])^2+(y5[t]-y2[t])^2+(z5[t]-z2[t])^2)^3]+
300. (G m6 (z6[t]-z2[t]))/Sqrt[((x6[t]-x2[t])^2+(y6[t]-y2[t])^2+(z6[t]-z2[t])^2)^3]+
301. (G m7 (z7[t]-z2[t]))/Sqrt[((x7[t]-x2[t])^2+(y7[t]-y2[t])^2+(z7[t]-z2[t])^2)^3]+
302. (G m8 (z8[t]-z2[t]))/Sqrt[((x8[t]-x2[t])^2+(y8[t]-y2[t])^2+(z8[t]-z2[t])^2)^3]+
303. (G m9 (z9[t]-z2[t]))/Sqrt[((x9[t]-x2[t])^2+(y9[t]-y2[t])^2+(z9[t]-z2[t])^2)^3]+
304. (G m0 (z0[t]-z2[t]))/Sqrt[((x0[t]-x2[t])^2+(y0[t]-y2[t])^2+(z0[t]-z2[t])^2)^3]+
305. If[q2 == 0, 0,
306. (-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]+
307. (-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]+
308. (-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]+
309. (-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]+
310. (-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]+
311. (-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]+
312. (-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]+
313. (-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]+
314. (-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]]+
315. Λ*c^2*z2[t]^2/Sqrt[x2[t]^2+y2[t]^2+z2[t]^2],
316.
317. vx3'[t] ==
318. (G m1 (x1[t]-x3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
319. (G m2 (x2[t]-x3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
320. (G m4 (x4[t]-x3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
321. (G m5 (x5[t]-x3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
322. (G m6 (x6[t]-x3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
323. (G m7 (x7[t]-x3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
324. (G m8 (x8[t]-x3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
325. (G m9 (x9[t]-x3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
326. (G m0 (x0[t]-x3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]+
327. If[q3 == 0, 0,
328. (-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]+
329. (-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]+
330. (-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]+
331. (-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]+
332. (-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]+
333. (-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]+
334. (-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]+
335. (-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]+
336. (-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]]+
337. Λ*c^2*x3[t]^2/Sqrt[x3[t]^2+y3[t]^2+z3[t]^2],
338.
339. vy3'[t] ==
340. (G m1 (y1[t]-y3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
341. (G m2 (y2[t]-y3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
342. (G m4 (y4[t]-y3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
343. (G m5 (y5[t]-y3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
344. (G m6 (y6[t]-y3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
345. (G m7 (y7[t]-y3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
346. (G m8 (y8[t]-y3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
347. (G m9 (y9[t]-y3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
348. (G m0 (y0[t]-y3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]+
349. If[q3 == 0, 0,
350. (-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]+
351. (-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]+
352. (-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]+
353. (-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]+
354. (-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]+
355. (-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]+
356. (-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]+
357. (-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]+
358. (-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]]+
359. Λ*c^2*y3[t]^2/Sqrt[x3[t]^2+y3[t]^2+z3[t]^2],
360.
361. vz3'[t] ==
362. (G m1 (z1[t]-z3[t]))/Sqrt[((x1[t]-x3[t])^2+(y1[t]-y3[t])^2+(z1[t]-z3[t])^2)^3]+
363. (G m2 (z2[t]-z3[t]))/Sqrt[((x2[t]-x3[t])^2+(y2[t]-y3[t])^2+(z2[t]-z3[t])^2)^3]+
364. (G m4 (z4[t]-z3[t]))/Sqrt[((x4[t]-x3[t])^2+(y4[t]-y3[t])^2+(z4[t]-z3[t])^2)^3]+
365. (G m5 (z5[t]-z3[t]))/Sqrt[((x5[t]-x3[t])^2+(y5[t]-y3[t])^2+(z5[t]-z3[t])^2)^3]+
366. (G m6 (z6[t]-z3[t]))/Sqrt[((x6[t]-x3[t])^2+(y6[t]-y3[t])^2+(z6[t]-z3[t])^2)^3]+
367. (G m7 (z7[t]-z3[t]))/Sqrt[((x7[t]-x3[t])^2+(y7[t]-y3[t])^2+(z7[t]-z3[t])^2)^3]+
368. (G m8 (z8[t]-z3[t]))/Sqrt[((x8[t]-x3[t])^2+(y8[t]-y3[t])^2+(z8[t]-z3[t])^2)^3]+
369. (G m9 (z9[t]-z3[t]))/Sqrt[((x9[t]-x3[t])^2+(y9[t]-y3[t])^2+(z9[t]-z3[t])^2)^3]+
370. (G m0 (z0[t]-z3[t]))/Sqrt[((x0[t]-x3[t])^2+(y0[t]-y3[t])^2+(z0[t]-z3[t])^2)^3]+
371. If[q3 == 0, 0,
372. (-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]+
373. (-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]+
374. (-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]+
375. (-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]+
376. (-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]+
377. (-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]+
378. (-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]+
379. (-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]+
380. (-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]]+
381. Λ*c^2*z3[t]^2/Sqrt[x3[t]^2+y3[t]^2+z3[t]^2],
382.
383. vx4'[t] ==
384. (G m1 (x1[t]-x4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
385. (G m2 (x2[t]-x4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
386. (G m3 (x3[t]-x4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
387. (G m5 (x5[t]-x4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
388. (G m6 (x6[t]-x4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
389. (G m7 (x7[t]-x4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
390. (G m8 (x8[t]-x4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
391. (G m9 (x9[t]-x4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
392. (G m0 (x0[t]-x4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]+
393. If[q4 == 0, 0,
394. (-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]+
395. (-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]+
396. (-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]+
397. (-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]+
398. (-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]+
399. (-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]+
400. (-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]+
401. (-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]+
402. (-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]]+
403. Λ*c^2*x4[t]^2/Sqrt[x4[t]^2+y4[t]^2+z4[t]^2],
404.
405. vy4'[t] ==
406. (G m1 (y1[t]-y4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
407. (G m2 (y2[t]-y4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
408. (G m3 (y3[t]-y4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
409. (G m5 (y5[t]-y4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
410. (G m6 (y6[t]-y4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
411. (G m7 (y7[t]-y4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
412. (G m8 (y8[t]-y4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
413. (G m9 (y9[t]-y4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
414. (G m0 (y0[t]-y4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]+
415. If[q4 == 0, 0,
416. (-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]+
417. (-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]+
418. (-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]+
419. (-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]+
420. (-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]+
421. (-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]+
422. (-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]+
423. (-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]+
424. (-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]]+
425. Λ*c^2*y4[t]^2/Sqrt[x4[t]^2+y4[t]^2+z4[t]^2],
426.
427. vz4'[t] ==
428. (G m1 (z1[t]-z4[t]))/Sqrt[((x1[t]-x4[t])^2+(y1[t]-y4[t])^2+(z1[t]-z4[t])^2)^3]+
429. (G m2 (z2[t]-z4[t]))/Sqrt[((x2[t]-x4[t])^2+(y2[t]-y4[t])^2+(z2[t]-z4[t])^2)^3]+
430. (G m3 (z3[t]-z4[t]))/Sqrt[((x3[t]-x4[t])^2+(y3[t]-y4[t])^2+(z3[t]-z4[t])^2)^3]+
431. (G m5 (z5[t]-z4[t]))/Sqrt[((x5[t]-x4[t])^2+(y5[t]-y4[t])^2+(z5[t]-z4[t])^2)^3]+
432. (G m6 (z6[t]-z4[t]))/Sqrt[((x6[t]-x4[t])^2+(y6[t]-y4[t])^2+(z6[t]-z4[t])^2)^3]+
433. (G m7 (z7[t]-z4[t]))/Sqrt[((x7[t]-x4[t])^2+(y7[t]-y4[t])^2+(z7[t]-z4[t])^2)^3]+
434. (G m8 (z8[t]-z4[t]))/Sqrt[((x8[t]-x4[t])^2+(y8[t]-y4[t])^2+(z8[t]-z4[t])^2)^3]+
435. (G m9 (z9[t]-z4[t]))/Sqrt[((x9[t]-x4[t])^2+(y9[t]-y4[t])^2+(z9[t]-z4[t])^2)^3]+
436. (G m0 (z0[t]-z4[t]))/Sqrt[((x0[t]-x4[t])^2+(y0[t]-y4[t])^2+(z0[t]-z4[t])^2)^3]+
437. If[q4 == 0, 0,
438. (-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]+
439. (-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]+
440. (-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]+
441. (-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]+
442. (-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]+
443. (-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]+
444. (-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]+
445. (-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]+
446. (-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]]+
447. Λ*c^2*z4[t]^2/Sqrt[x4[t]^2+y4[t]^2+z4[t]^2],
448.
449. vx5'[t] ==
450. (G m1 (x1[t]-x5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
451. (G m2 (x2[t]-x5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
452. (G m3 (x3[t]-x5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
453. (G m4 (x4[t]-x5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
454. (G m6 (x6[t]-x5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
455. (G m7 (x7[t]-x5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
456. (G m8 (x8[t]-x5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
457. (G m9 (x9[t]-x5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
458. (G m0 (x0[t]-x5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]+
459. If[q5 == 0, 0,
460. (-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]+
461. (-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]+
462. (-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]+
463. (-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]+
464. (-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]+
465. (-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]+
466. (-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]+
467. (-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]+
468. (-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]]+
469. Λ*c^2*x5[t]^2/Sqrt[x5[t]^2+y5[t]^2+z5[t]^2],
470.
471. vy5'[t] ==
472. (G m1 (y1[t]-y5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
473. (G m2 (y2[t]-y5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
474. (G m3 (y3[t]-y5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
475. (G m4 (y4[t]-y5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
476. (G m6 (y6[t]-y5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
477. (G m7 (y7[t]-y5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
478. (G m8 (y8[t]-y5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
479. (G m9 (y9[t]-y5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
480. (G m0 (y0[t]-y5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]+
481. If[q5 == 0, 0,
482. (-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]+
483. (-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]+
484. (-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]+
485. (-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]+
486. (-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]+
487. (-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]+
488. (-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]+
489. (-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]+
490. (-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]]+
491. Λ*c^2*y5[t]^2/Sqrt[x5[t]^2+y5[t]^2+z5[t]^2],
492.
493. vz5'[t] ==
494. (G m1 (z1[t]-z5[t]))/Sqrt[((x1[t]-x5[t])^2+(y1[t]-y5[t])^2+(z1[t]-z5[t])^2)^3]+
495. (G m2 (z2[t]-z5[t]))/Sqrt[((x2[t]-x5[t])^2+(y2[t]-y5[t])^2+(z2[t]-z5[t])^2)^3]+
496. (G m3 (z3[t]-z5[t]))/Sqrt[((x3[t]-x5[t])^2+(y3[t]-y5[t])^2+(z3[t]-z5[t])^2)^3]+
497. (G m4 (z4[t]-z5[t]))/Sqrt[((x4[t]-x5[t])^2+(y4[t]-y5[t])^2+(z4[t]-z5[t])^2)^3]+
498. (G m6 (z6[t]-z5[t]))/Sqrt[((x6[t]-x5[t])^2+(y6[t]-y5[t])^2+(z6[t]-z5[t])^2)^3]+
499. (G m7 (z7[t]-z5[t]))/Sqrt[((x7[t]-x5[t])^2+(y7[t]-y5[t])^2+(z7[t]-z5[t])^2)^3]+
500. (G m8 (z8[t]-z5[t]))/Sqrt[((x8[t]-x5[t])^2+(y8[t]-y5[t])^2+(z8[t]-z5[t])^2)^3]+
501. (G m9 (z9[t]-z5[t]))/Sqrt[((x9[t]-x5[t])^2+(y9[t]-y5[t])^2+(z9[t]-z5[t])^2)^3]+
502. (G m0 (z0[t]-z5[t]))/Sqrt[((x0[t]-x5[t])^2+(y0[t]-y5[t])^2+(z0[t]-z5[t])^2)^3]+
503. If[q5 == 0, 0,
504. (-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]+
505. (-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]+
506. (-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]+
507. (-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]+
508. (-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]+
509. (-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]+
510. (-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]+
511. (-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]+
512. (-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]]+
513. Λ*c^2*z5[t]^2/Sqrt[x5[t]^2+y5[t]^2+z5[t]^2],
514.
515. vx6'[t] ==
516. (G m1 (x1[t]-x6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
517. (G m2 (x2[t]-x6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
518. (G m3 (x3[t]-x6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
519. (G m4 (x4[t]-x6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
520. (G m5 (x5[t]-x6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
521. (G m7 (x7[t]-x6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
522. (G m8 (x8[t]-x6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
523. (G m9 (x9[t]-x6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
524. (G m0 (x0[t]-x6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]+
525. If[q6 == 0, 0,
526. (-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]+
527. (-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]+
528. (-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]+
529. (-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]+
530. (-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]+
531. (-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]+
532. (-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]+
533. (-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]+
534. (-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]]+
535. Λ*c^2*x6[t]^2/Sqrt[x6[t]^2+y6[t]^2+z6[t]^2],
536.
537. vy6'[t] ==
538. (G m1 (y1[t]-y6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
539. (G m2 (y2[t]-y6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
540. (G m3 (y3[t]-y6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
541. (G m4 (y4[t]-y6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
542. (G m5 (y5[t]-y6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
543. (G m7 (y7[t]-y6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
544. (G m8 (y8[t]-y6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
545. (G m9 (y9[t]-y6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
546. (G m0 (y0[t]-y6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]+
547. If[q6 == 0, 0,
548. (-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]+
549. (-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]+
550. (-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]+
551. (-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]+
552. (-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]+
553. (-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]+
554. (-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]+
555. (-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]+
556. (-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]]+
557. Λ*c^2*y6[t]^2/Sqrt[x6[t]^2+y6[t]^2+z6[t]^2],
558.
559. vz6'[t] ==
560. (G m1 (z1[t]-z6[t]))/Sqrt[((x1[t]-x6[t])^2+(y1[t]-y6[t])^2+(z1[t]-z6[t])^2)^3]+
561. (G m2 (z2[t]-z6[t]))/Sqrt[((x2[t]-x6[t])^2+(y2[t]-y6[t])^2+(z2[t]-z6[t])^2)^3]+
562. (G m3 (z3[t]-z6[t]))/Sqrt[((x3[t]-x6[t])^2+(y3[t]-y6[t])^2+(z3[t]-z6[t])^2)^3]+
563. (G m4 (z4[t]-z6[t]))/Sqrt[((x4[t]-x6[t])^2+(y4[t]-y6[t])^2+(z4[t]-z6[t])^2)^3]+
564. (G m5 (z5[t]-z6[t]))/Sqrt[((x5[t]-x6[t])^2+(y5[t]-y6[t])^2+(z5[t]-z6[t])^2)^3]+
565. (G m7 (z7[t]-z6[t]))/Sqrt[((x7[t]-x6[t])^2+(y7[t]-y6[t])^2+(z7[t]-z6[t])^2)^3]+
566. (G m8 (z8[t]-z6[t]))/Sqrt[((x8[t]-x6[t])^2+(y8[t]-y6[t])^2+(z8[t]-z6[t])^2)^3]+
567. (G m9 (z9[t]-z6[t]))/Sqrt[((x9[t]-x6[t])^2+(y9[t]-y6[t])^2+(z9[t]-z6[t])^2)^3]+
568. (G m0 (z0[t]-z6[t]))/Sqrt[((x0[t]-x6[t])^2+(y0[t]-y6[t])^2+(z0[t]-z6[t])^2)^3]+
569. If[q6 == 0, 0,
570. (-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]+
571. (-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]+
572. (-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]+
573. (-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]+
574. (-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]+
575. (-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]+
576. (-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]+
577. (-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]+
578. (-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]]+
579. Λ*c^2*z6[t]^2/Sqrt[x6[t]^2+y6[t]^2+z6[t]^2],
580.
581. vx7'[t] ==
582. (G m1 (x1[t]-x7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
583. (G m2 (x2[t]-x7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
584. (G m3 (x3[t]-x7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
585. (G m4 (x4[t]-x7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
586. (G m5 (x5[t]-x7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
587. (G m6 (x6[t]-x7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
588. (G m8 (x8[t]-x7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
589. (G m9 (x9[t]-x7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
590. (G m0 (x0[t]-x7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]+
591. If[q7 == 0, 0,
592. (-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]+
593. (-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]+
594. (-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]+
595. (-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]+
596. (-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]+
597. (-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]+
598. (-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]+
599. (-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]+
600. (-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]]+
601. Λ*c^2*x7[t]^2/Sqrt[x7[t]^2+y7[t]^2+z7[t]^2],
602.
603. vy7'[t] ==
604. (G m1 (y1[t]-y7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
605. (G m2 (y2[t]-y7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
606. (G m3 (y3[t]-y7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
607. (G m4 (y4[t]-y7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
608. (G m5 (y5[t]-y7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
609. (G m6 (y6[t]-y7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
610. (G m8 (y8[t]-y7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
611. (G m9 (y9[t]-y7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
612. (G m0 (y0[t]-y7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]+
613. If[q7 == 0, 0,
614. (-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]+
615. (-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]+
616. (-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]+
617. (-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]+
618. (-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]+
619. (-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]+
620. (-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]+
621. (-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]+
622. (-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]]+
623. Λ*c^2*y7[t]^2/Sqrt[x7[t]^2+y7[t]^2+z7[t]^2],
624.
625. vz7'[t] ==
626. (G m1 (z1[t]-z7[t]))/Sqrt[((x1[t]-x7[t])^2+(y1[t]-y7[t])^2+(z1[t]-z7[t])^2)^3]+
627. (G m2 (z2[t]-z7[t]))/Sqrt[((x2[t]-x7[t])^2+(y2[t]-y7[t])^2+(z2[t]-z7[t])^2)^3]+
628. (G m3 (z3[t]-z7[t]))/Sqrt[((x3[t]-x7[t])^2+(y3[t]-y7[t])^2+(z3[t]-z7[t])^2)^3]+
629. (G m4 (z4[t]-z7[t]))/Sqrt[((x4[t]-x7[t])^2+(y4[t]-y7[t])^2+(z4[t]-z7[t])^2)^3]+
630. (G m5 (z5[t]-z7[t]))/Sqrt[((x5[t]-x7[t])^2+(y5[t]-y7[t])^2+(z5[t]-z7[t])^2)^3]+
631. (G m6 (z6[t]-z7[t]))/Sqrt[((x6[t]-x7[t])^2+(y6[t]-y7[t])^2+(z6[t]-z7[t])^2)^3]+
632. (G m8 (z8[t]-z7[t]))/Sqrt[((x8[t]-x7[t])^2+(y8[t]-y7[t])^2+(z8[t]-z7[t])^2)^3]+
633. (G m9 (z9[t]-z7[t]))/Sqrt[((x9[t]-x7[t])^2+(y9[t]-y7[t])^2+(z9[t]-z7[t])^2)^3]+
634. (G m0 (z0[t]-z7[t]))/Sqrt[((x0[t]-x7[t])^2+(y0[t]-y7[t])^2+(z0[t]-z7[t])^2)^3]+
635. If[q7 == 0, 0,
636. (-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]+
637. (-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]+
638. (-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]+
639. (-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]+
640. (-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]+
641. (-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]+
642. (-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]+
643. (-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]+
644. (-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]]+
645. Λ*c^2*z7[t]^2/Sqrt[x7[t]^2+y7[t]^2+z7[t]^2],
646.
647. vx8'[t] ==
648. (G m1 (x1[t]-x8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
649. (G m2 (x2[t]-x8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
650. (G m3 (x3[t]-x8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
651. (G m4 (x4[t]-x8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
652. (G m5 (x5[t]-x8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
653. (G m6 (x6[t]-x8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
654. (G m7 (x7[t]-x8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
655. (G m9 (x9[t]-x8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
656. (G m0 (x0[t]-x8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]+
657. If[q8 == 0, 0,
658. (-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]+
659. (-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]+
660. (-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]+
661. (-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]+
662. (-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]+
663. (-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]+
664. (-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]+
665. (-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]+
666. (-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]]+
667. Λ*c^2*x8[t]^2/Sqrt[x8[t]^2+y8[t]^2+z8[t]^2],
668.
669. vy8'[t] ==
670. (G m1 (y1[t]-y8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
671. (G m2 (y2[t]-y8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
672. (G m3 (y3[t]-y8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
673. (G m4 (y4[t]-y8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
674. (G m5 (y5[t]-y8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
675. (G m6 (y6[t]-y8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
676. (G m7 (y7[t]-y8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
677. (G m9 (y9[t]-y8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
678. (G m0 (y0[t]-y8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]+
679. If[q8 == 0, 0,
680. (-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]+
681. (-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]+
682. (-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]+
683. (-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]+
684. (-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]+
685. (-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]+
686. (-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]+
687. (-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]+
688. (-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]]+
689. Λ*c^2*y8[t]^2/Sqrt[x8[t]^2+y8[t]^2+z8[t]^2],
690.
691. vz8'[t] ==
692. (G m1 (z1[t]-z8[t]))/Sqrt[((x1[t]-x8[t])^2+(y1[t]-y8[t])^2+(z1[t]-z8[t])^2)^3]+
693. (G m2 (z2[t]-z8[t]))/Sqrt[((x2[t]-x8[t])^2+(y2[t]-y8[t])^2+(z2[t]-z8[t])^2)^3]+
694. (G m3 (z3[t]-z8[t]))/Sqrt[((x3[t]-x8[t])^2+(y3[t]-y8[t])^2+(z3[t]-z8[t])^2)^3]+
695. (G m4 (z4[t]-z8[t]))/Sqrt[((x4[t]-x8[t])^2+(y4[t]-y8[t])^2+(z4[t]-z8[t])^2)^3]+
696. (G m5 (z5[t]-z8[t]))/Sqrt[((x5[t]-x8[t])^2+(y5[t]-y8[t])^2+(z5[t]-z8[t])^2)^3]+
697. (G m6 (z6[t]-z8[t]))/Sqrt[((x6[t]-x8[t])^2+(y6[t]-y8[t])^2+(z6[t]-z8[t])^2)^3]+
698. (G m7 (z7[t]-z8[t]))/Sqrt[((x7[t]-x8[t])^2+(y7[t]-y8[t])^2+(z7[t]-z8[t])^2)^3]+
699. (G m9 (z9[t]-z8[t]))/Sqrt[((x9[t]-x8[t])^2+(y9[t]-y8[t])^2+(z9[t]-z8[t])^2)^3]+
700. (G m0 (z0[t]-z8[t]))/Sqrt[((x0[t]-x8[t])^2+(y0[t]-y8[t])^2+(z0[t]-z8[t])^2)^3]+
701. If[q8 == 0, 0,
702. (-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]+
703. (-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]+
704. (-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]+
705. (-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]+
706. (-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]+
707. (-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]+
708. (-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]+
709. (-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]+
710. (-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]]+
711. Λ*c^2*z8[t]^2/Sqrt[x8[t]^2+y8[t]^2+z8[t]^2],
712.
713. vx9'[t] ==
714. (G m1 (x1[t]-x9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
715. (G m2 (x2[t]-x9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
716. (G m3 (x3[t]-x9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
717. (G m4 (x4[t]-x9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
718. (G m5 (x5[t]-x9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
719. (G m6 (x6[t]-x9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
720. (G m7 (x7[t]-x9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
721. (G m8 (x8[t]-x9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
722. (G m0 (x0[t]-x9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]+
723. If[q9 == 0, 0,
724. (-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]+
725. (-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]+
726. (-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]+
727. (-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]+
728. (-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]+
729. (-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]+
730. (-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]+
731. (-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]+
732. (-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]]+
733. Λ*c^2*x9[t]^2/Sqrt[x9[t]^2+y9[t]^2+z9[t]^2],
734.
735. vy9'[t] ==
736. (G m1 (y1[t]-y9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
737. (G m2 (y2[t]-y9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
738. (G m3 (y3[t]-y9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
739. (G m4 (y4[t]-y9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
740. (G m5 (y5[t]-y9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
741. (G m6 (y6[t]-y9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
742. (G m7 (y7[t]-y9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
743. (G m8 (y8[t]-y9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
744. (G m0 (y0[t]-y9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]+
745. If[q9 == 0, 0,
746. (-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]+
747. (-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]+
748. (-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]+
749. (-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]+
750. (-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]+
751. (-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]+
752. (-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]+
753. (-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]+
754. (-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]]+
755. Λ*c^2*y9[t]^2/Sqrt[x9[t]^2+y9[t]^2+z9[t]^2],
756.
757. vz9'[t] ==
758. (G m1 (z1[t]-z9[t]))/Sqrt[((x1[t]-x9[t])^2+(y1[t]-y9[t])^2+(z1[t]-z9[t])^2)^3]+
759. (G m2 (z2[t]-z9[t]))/Sqrt[((x2[t]-x9[t])^2+(y2[t]-y9[t])^2+(z2[t]-z9[t])^2)^3]+
760. (G m3 (z3[t]-z9[t]))/Sqrt[((x3[t]-x9[t])^2+(y3[t]-y9[t])^2+(z3[t]-z9[t])^2)^3]+
761. (G m4 (z4[t]-z9[t]))/Sqrt[((x4[t]-x9[t])^2+(y4[t]-y9[t])^2+(z4[t]-z9[t])^2)^3]+
762. (G m5 (z5[t]-z9[t]))/Sqrt[((x5[t]-x9[t])^2+(y5[t]-y9[t])^2+(z5[t]-z9[t])^2)^3]+
763. (G m6 (z6[t]-z9[t]))/Sqrt[((x6[t]-x9[t])^2+(y6[t]-y9[t])^2+(z6[t]-z9[t])^2)^3]+
764. (G m7 (z7[t]-z9[t]))/Sqrt[((x7[t]-x9[t])^2+(y7[t]-y9[t])^2+(z7[t]-z9[t])^2)^3]+
765. (G m8 (z8[t]-z9[t]))/Sqrt[((x8[t]-x9[t])^2+(y8[t]-y9[t])^2+(z8[t]-z9[t])^2)^3]+
766. (G m0 (z0[t]-z9[t]))/Sqrt[((x0[t]-x9[t])^2+(y0[t]-y9[t])^2+(z0[t]-z9[t])^2)^3]+
767. If[q9 == 0, 0,
768. (-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]+
769. (-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]+
770. (-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]+
771. (-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]+
772. (-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]+
773. (-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]+
774. (-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]+
775. (-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]+
776. (-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]]+
777. Λ*c^2*z9[t]^2/Sqrt[x9[t]^2+y9[t]^2+z9[t]^2],
778.
779. vx0'[t] ==
780. (G m1 (x1[t]-x0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
781. (G m2 (x2[t]-x0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
782. (G m3 (x3[t]-x0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
783. (G m4 (x4[t]-x0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
784. (G m5 (x5[t]-x0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
785. (G m6 (x6[t]-x0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
786. (G m7 (x7[t]-x0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
787. (G m8 (x8[t]-x0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
788. (G m9 (x9[t]-x0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]+
789. If[q0 == 0, 0,
790. (-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]+
791. (-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]+
792. (-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]+
793. (-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]+
794. (-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]+
795. (-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]+
796. (-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]+
797. (-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]+
798. (-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]]+
799. Λ*c^2*x0[t]^2/Sqrt[x0[t]^2+y0[t]^2+z0[t]^2],
800.
801. vy0'[t] ==
802. (G m1 (y1[t]-y0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
803. (G m2 (y2[t]-y0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
804. (G m3 (y3[t]-y0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
805. (G m4 (y4[t]-y0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
806. (G m5 (y5[t]-y0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
807. (G m6 (y6[t]-y0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
808. (G m7 (y7[t]-y0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
809. (G m8 (y8[t]-y0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
810. (G m9 (y9[t]-y0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]+
811. If[q0 == 0, 0,
812. (-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]+
813. (-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]+
814. (-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]+
815. (-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]+
816. (-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]+
817. (-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]+
818. (-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]+
819. (-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]+
820. (-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]]+
821. Λ*c^2*y0[t]^2/Sqrt[x0[t]^2+y0[t]^2+z0[t]^2],
822.
823. vz0'[t] ==
824. (G m1 (z1[t]-z0[t]))/Sqrt[((x1[t]-x0[t])^2+(y1[t]-y0[t])^2+(z1[t]-z0[t])^2)^3]+
825. (G m2 (z2[t]-z0[t]))/Sqrt[((x2[t]-x0[t])^2+(y2[t]-y0[t])^2+(z2[t]-z0[t])^2)^3]+
826. (G m3 (z3[t]-z0[t]))/Sqrt[((x3[t]-x0[t])^2+(y3[t]-y0[t])^2+(z3[t]-z0[t])^2)^3]+
827. (G m4 (z4[t]-z0[t]))/Sqrt[((x4[t]-x0[t])^2+(y4[t]-y0[t])^2+(z4[t]-z0[t])^2)^3]+
828. (G m5 (z5[t]-z0[t]))/Sqrt[((x5[t]-x0[t])^2+(y5[t]-y0[t])^2+(z5[t]-z0[t])^2)^3]+
829. (G m6 (z6[t]-z0[t]))/Sqrt[((x6[t]-x0[t])^2+(y6[t]-y0[t])^2+(z6[t]-z0[t])^2)^3]+
830. (G m7 (z7[t]-z0[t]))/Sqrt[((x7[t]-x0[t])^2+(y7[t]-y0[t])^2+(z7[t]-z0[t])^2)^3]+
831. (G m8 (z8[t]-z0[t]))/Sqrt[((x8[t]-x0[t])^2+(y8[t]-y0[t])^2+(z8[t]-z0[t])^2)^3]+
832. (G m9 (z9[t]-z0[t]))/Sqrt[((x9[t]-x0[t])^2+(y9[t]-y0[t])^2+(z9[t]-z0[t])^2)^3]+
833. If[q0 == 0, 0,
834. (-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]+
835. (-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]+
836. (-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]+
837. (-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]+
838. (-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]+
839. (-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]+
840. (-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]+
841. (-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]+
842. (-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]]+
843. Λ*c^2*z0[t]^2/Sqrt[x0[t]^2+y0[t]^2+z0[t]^2],
844.
845. x1[0] == x1x, y1[0] == y1y, z1[0] == z1z,
846. x2[0] == x2x, y2[0] == y2y, z2[0] == z2z,
847. x3[0] == x3x, y3[0] == y3y, z3[0] == z3z,
848. x4[0] == x4x, y4[0] == y4y, z4[0] == z4z,
849. x5[0] == x5x, y5[0] == y5y, z5[0] == z5z,
850. x6[0] == x6x, y6[0] == y6y, z6[0] == z6z,
851. x7[0] == x7x, y7[0] == y7y, z7[0] == z7z,
852. x8[0] == x8x, y8[0] == y8y, z8[0] == z8z,
853. x9[0] == x9x, y9[0] == y9y, z9[0] == z9z,
854. x0[0] == x0x, y0[0] == y0y, z0[0] == z0z,
855.
856. vx1[0] == v1x, vy1[0] == v1y, vz1[0] == v1z,
857. vx2[0] == v2x, vy2[0] == v2y, vz2[0] == v2z,
858. vx3[0] == v3x, vy3[0] == v3y, vz3[0] == v3z,
859. vx4[0] == v4x, vy4[0] == v4y, vz4[0] == v4z,
860. vx5[0] == v5x, vy5[0] == v5y, vz5[0] == v5z,
861. vx6[0] == v6x, vy6[0] == v6y, vz6[0] == v6z,
862. vx7[0] == v7x, vy7[0] == v7y, vz7[0] == v7z,
863. vx8[0] == v8x, vy8[0] == v8y, vz8[0] == v8z,
864. vx9[0] == v9x, vy9[0] == v9y, vz9[0] == v9z,
865. vx0[0] == v0x, vy0[0] == v0y, vz0[0] == v0z},
866.
867. {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,
868. 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},
869.
870. {t, 0, Tmax},
871.
872. WorkingPrecision-> wp,
873. MaxSteps-> Infinity,
874. Method-> mta,
875. InterpolationOrder-> All,
876. StepMonitor :> (laststep=plunge; plunge=t;
877. stepsize=plunge-laststep;), Method->{"EventLocator",
878. "Event" :> (If[stepsize<1*^-4, 0, 1])}];
879.
880. (* Position, Geschwindigkeit *)
881.
882. 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]];
883. 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]];
884. 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);
885.
886. (* Formatierung *)
887.
888. s[text_]=Style[text, FontSize->11];
889. sw[text_]=Style[text, White, FontSize->11];
890. colorfunc[n_]=Function[{x, y, z, t},
891. Hue[0, n, 0.5,
892. If[Tmax<0, Max[Min[(+T+(-t+trail))/trail, 1], 0],
893. Max[Min[(-T+(t+trail))/trail, 1], 0]]]];
894.
895. (* Animation *)
896.
897. Do[Print[Rasterize[
898. Grid[{{
899. Show[
900.
901. If[T == 0, {},
902.
903. ParametricPlot3D[Evaluate[f2p[t]],
904. {t, Max[0, T-trail], T},
905.
906. PlotStyle->{
907. {Thickness[thk], Hue[10/10]},
908. {Thickness[thk], Hue[05/10]},
909. {Thickness[thk], Hue[09/10]},
910. {Thickness[thk], Hue[04/10]},
911. {Thickness[thk], Hue[08/10]},
912. {Thickness[thk], Hue[03/10]},
913. {Thickness[thk], Hue[07/10]},
914. {Thickness[thk], Hue[02/10]},
915. {Thickness[thk], Hue[06/10]},
916. {Thickness[thk], Hue[01/10]}},
917.
918. PlotRange->plotrange, AspectRatio->1, MaxRecursion->15, Axes->True, ImageSize->imagesize]],
919.
920. Graphics3D[
921. If[startpos==1, {
922. {PointSize[2point/3], Hue[10/10], Point[{x1x, y1y, z1z}]},
923. {PointSize[2point/3], Hue[05/10], Point[{x2x, y2y, z2z}]},
924. {PointSize[2point/3], Hue[09/10], Point[{x3x, y3y, z3z}]},
925. {PointSize[2point/3], Hue[04/10], Point[{x4x, y4y, z4z}]},
926. {PointSize[2point/3], Hue[08/10], Point[{x5x, y5y, z5z}]},
927. {PointSize[2point/3], Hue[03/10], Point[{x6x, y6y, z6z}]},
928. {PointSize[2point/3], Hue[07/10], Point[{x7x, y7y, z7z}]},
929. {PointSize[2point/3], Hue[02/10], Point[{x8x, y8y, z8z}]},
930. {PointSize[2point/3], Hue[06/10], Point[{x9x, y9y, z9z}]},
931. {PointSize[2point/3], Hue[01/10], Point[{x0x, y0y, z0z}]}
932. }, {}],
933.
934. PlotRange->plotrange, AspectRatio->1, Axes->True, ImageSize->imagesize],
935.
936. Graphics3D[{PointSize[point], Hue[10/10], Point[Evaluate[f2p[T]][[1]]]}],
937. Graphics3D[{PointSize[point], Hue[05/10], Point[Evaluate[f2p[T]][[2]]]}],
938. Graphics3D[{PointSize[point], Hue[09/10], Point[Evaluate[f2p[T]][[3]]]}],
939. Graphics3D[{PointSize[point], Hue[04/10], Point[Evaluate[f2p[T]][[4]]]}],
940. Graphics3D[{PointSize[point], Hue[08/10], Point[Evaluate[f2p[T]][[5]]]}],
941. Graphics3D[{PointSize[point], Hue[03/10], Point[Evaluate[f2p[T]][[6]]]}],
942. Graphics3D[{PointSize[point], Hue[07/10], Point[Evaluate[f2p[T]][[7]]]}],
943. Graphics3D[{PointSize[point], Hue[02/10], Point[Evaluate[f2p[T]][[8]]]}],
944. Graphics3D[{PointSize[point], Hue[06/10], Point[Evaluate[f2p[T]][[9]]]}],
945. Graphics3D[{PointSize[point], Hue[01/10], Point[Evaluate[f2p[T]][[10]]]}],
946.
947. ViewPoint->viewpoint]},
948.
949. { },
950. {s["t"->N[T]], sw[1/2]},
951. { },
952. {s["Sun {}" -> {N@m1}], sw[1/2]},
953. {s["p1{x,y,z}"-> Evaluate[f2p[T][[1]]]], sw[1/2]},
954. {s["v1{x,y,z}"-> Evaluate[f2v[T][[1]]]], sw[1/2]},
955. {s["v1{total}"->{Evaluate[Chop@Norm[f2v[T][[1]]]]}], sw[1/2]},
956. { },
957. {s["Mercury{}" -> {N@m2} ], sw[1/2]},
958. {s["p2{x,y,z}"-> Evaluate[f2p[T][[2]]]], sw[1/2]},
959. {s["v2{x,y,z}"-> Evaluate[f2v[T][[2]]]], sw[1/2]},
960. {s["v2{total}"->{Evaluate[Chop@Norm[f2v[T][[2]]]]}], sw[1/2]},
961. { },
962. {s["Venus {}" -> {N@m3}], sw[1/2]},
963. {s["p3{x,y,z}"-> Evaluate[f2p[T][[3]]]], sw[1/2]},
964. {s["v3{x,y,z}"-> Evaluate[f2v[T][[3]]]], sw[1/2]},
965. {s["v3{total}"->{Evaluate[Chop@Norm[f2v[T][[3]]]]}], sw[1/2]},
966. { },
967. {s["Earth {}" -> {N@m4} ], sw[1/2]},
968. {s["p4{x,y,z}"-> Evaluate[f2p[T][[4]]]], sw[1/2]},
969. {s["v4{x,y,z}"-> Evaluate[f2v[T][[4]]]], sw[1/2]},
970. {s["v4{total}"->{Evaluate[Chop@Norm[f2v[T][[4]]]]}], sw[1/2]},
971. { },
972. {s["Mars {}" -> {N@m5} ], sw[1/2]},
973. {s["p5{x,y,z}"-> Evaluate[f2p[T][[5]]]], sw[1/2]},
974. {s["v5{x,y,z}"-> Evaluate[f2v[T][[5]]]], sw[1/2]},
975. {s["v5{total}"->{Evaluate[Chop@Norm[f2v[T][[5]]]]}], sw[1/2]},
976. { },
977. {s["Jupiter{}" -> {N@m6 }], sw[1/2]},
978. {s["p6{x,y,z}"-> Evaluate[f2p[T][[6]]]], sw[1/2]},
979. {s["v6{x,y,z}"-> Evaluate[f2v[T][[6]]]], sw[1/2]},
980. {s["v6{total}"->{Evaluate[Chop@Norm[f2v[T][[6]]]]}], sw[1/2]},
981. { },
982. {s["Saturn {}" -> {N@m7 }], sw[1/2]},
983. {s["p7{x,y,z}"-> Evaluate[f2p[T][[7]]]], sw[1/2]},
984. {s["v7{x,y,z}"-> Evaluate[f2v[T][[7]]]], sw[1/2]},
985. {s["v7{total}"->{Evaluate[Chop@Norm[f2v[T][[7]]]]}], sw[1/2]},
986. { },
987. {s["Uranus {}" -> {N@m8}], sw[1/2]},
988. {s["p8{x,y,z}"-> Evaluate[f2p[T][[8]]]], sw[1/2]},
989. {s["v8{x,y,z}"-> Evaluate[f2v[T][[8]]]], sw[1/2]},
990. {s["v8{total}"->{Evaluate[Chop@Norm[f2v[T][[8]]]]}], sw[1/2]},
991. { },
992. {s["Neptune{}" -> {N@m9}], sw[1/2]},
993. {s["p9{x,y,z}"-> Evaluate[f2p[T][[9]]]], sw[1/2]},
994. {s["v9{x,y,z}"-> Evaluate[f2v[T][[9]]]], sw[1/2]},
995. {s["v9{total}"->{Evaluate[Chop@Norm[f2v[T][[9]]]]}], sw[1/2]},
996. { },
997. {s["Pluto {}" -> {N@m0} ], sw[1/2]},
998. {s["p0{x,y,z}"-> Evaluate[f2p[T][[10]]]], sw[1/2]},
999. {s["v0{x,y,z}"-> Evaluate[f2v[T][[10]]]], sw[1/2]},
1000. {s["v0{total}"->{Evaluate[Chop@Norm[f2v[T][[10]]]]}], sw[1/2]},
1001. { },
1002. {s["System {}" -> {N@(m1+m2+m3+m4+m5+m6+m7+m8+m9+m0)}], sw[1/2]},
1003. {s["ps{x,y,z}"-> swp[T]], sw[1/2]},
1004. {s["vs{x,y,z}"-> swp'[T]], sw[1/2]},
1005. {s["vs{total}"->{Chop@Norm[swp'[T]]}], sw[1/2]}
1006. }, Alignment->Left]]],
1007.
1008. (* Zeitregler *)
1009.
1010. {T, 0, tMax, tMax/5}]
1011.
1012. (* Export als HTML Dokument *)
1013. (* Export["dateiname.html", EvaluationNotebook[], "GraphicsOutput" -> "PNG"] *)
1014. (* Export direkt als Bildsequenz *)
1015. (* ParallelDo[Export["dateiname" <> ToString[T] <> ".png", Rasterize[...] ], {T, 0, 10, 5}] *)
1016.
1017.
1018.
1019.
1020.
1021.
1022.
RAW Paste Data