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ofshex dumpascii
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1a00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1a80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1aa0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ac0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ae0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1b80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ba0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1bc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1be0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1c80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ca0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1cc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ce0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1d80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1da0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1dc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1de0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1e80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ea0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ec0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1ee0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f60 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1f80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1fa0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1fc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
1fe0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
2000 61 64 00 00 33 00 00 00 4f 01 00 00 00 10 00 00 40 00 00 00 00 00 00 00 eb 0f 00 00 ea 0f 00 00 ad..3...O.......@...............
2020 c1 0f 00 00 72 0f 00 00 29 0f 00 00 f2 0e 00 00 f1 0e 00 00 9f 0e 00 00 55 0e 00 00 09 0e 00 00 ....r...)...............U.......
2040 f8 0d 00 00 f7 0d 00 00 a3 0d 00 00 54 0d 00 00 3e 0d 00 00 3d 0d 00 00 ed 0c 00 00 a1 0c 00 00 ............T...>...=...........
2060 50 0c 00 00 ff 0b 00 00 af 0b 00 00 63 0b 00 00 14 0b 00 00 c3 0a 00 00 71 0a 00 00 3a 0a 00 00 P...........c...........q...:...
2080 39 0a 00 00 eb 09 00 00 98 09 00 00 45 09 00 00 fa 08 00 00 aa 08 00 00 5b 08 00 00 15 08 00 00 9...........E...........[.......
20a0 cc 07 00 00 7d 07 00 00 50 07 00 00 4f 07 00 00 39 07 00 00 38 07 00 00 13 07 00 00 c8 06 00 00 ....}...P...O...9...8...........
20c0 77 06 00 00 29 06 00 00 22 06 00 00 21 06 00 00 d4 05 00 00 87 05 00 00 3c 05 00 00 ec 04 00 00 w...)..."...!...........<.......
20e0 a0 04 00 00 51 04 00 00 01 04 00 00 b6 03 00 00 6c 03 00 00 1f 03 00 00 d2 02 00 00 7f 02 00 00 ....Q...........l...............
2100 19 02 00 00 e3 01 00 00 e2 01 00 00 9f 01 00 00 9e 01 00 00 4f 01 00 00 4e 01 00 00 4d 01 00 00 ....................O...N...M...
2120 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................................
2140 00 00 00 00 00 00 00 00 00 00 00 00 00 00 55 55 6d 20 53 74 65 72 6e 65 20 63 6c 75 73 74 65 72 ..............UUm.Sterne.cluster
2160 6e 20 7a 75 20 6b c3 b6 6e 6e 65 6e 20 6d 75 73 73 20 64 69 65 20 47 61 6c 61 78 69 65 20 69 6e n.zu.k..nnen.muss.die.Galaxie.in
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21a0 73 75 62 73 75 62 73 65 63 74 69 6f 6e 7b 47 65 6e 65 72 69 65 72 75 6e 67 20 76 6f 6e 20 51 75 subsubsection{Generierung.von.Qu
21c0 61 64 74 72 65 65 73 20 75 6e 64 20 65 6e 74 73 70 72 65 63 68 65 6e 64 65 20 42 c3 a4 75 6d 65 adtrees.und.entsprechende.B..ume
21e0 7d 00 00 76 6f 6e 20 5c 28 20 4f 28 6e 5e 32 29 20 5c 29 20 61 75 66 20 5c 28 20 4f 28 6e 20 6c }..von.\(.O(n^2).\).auf.\(.O(n.l
2200 6f 67 28 6e 29 29 20 5c 29 20 7a 75 20 72 65 64 75 7a 69 65 72 65 6e 2e 00 76 65 72 c3 b6 66 66 og(n)).\).zu.reduzieren..ver..ff
2220 65 6e 74 6c 69 63 68 74 20 5c 63 69 74 65 7b 62 61 72 6e 65 73 68 75 74 38 36 7d 20 75 6e 64 20 entlicht.\cite{barneshut86}.und.
2240 65 72 6c 61 75 62 74 20 65 73 20 64 69 65 20 41 6e 7a 61 68 6c 20 61 6e 20 4b 72 c3 a4 66 74 65 erlaubt.es.die.Anzahl.an.Kr..fte
2260 6e 20 64 69 65 20 62 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 6e 20 6d c3 bc 73 73 65 6e 00 72 n.die.berechnet.werden.m..ssen.r
2280 65 70 72 c3 a4 73 65 6e 74 69 65 72 74 20 64 65 66 69 6e 69 65 72 74 20 69 73 74 2e 20 44 61 73 epr..sentiert.definiert.ist..Das
22a0 20 4b 6f 6e 7a 65 70 74 20 77 75 72 64 65 20 31 39 38 36 20 76 6f 6e 20 4a 6f 73 63 68 20 42 61 .Konzept.wurde.1986.von.Josch.Ba
22c0 72 6e 65 73 20 75 6e 64 20 50 69 65 74 20 48 75 74 00 7a 75 73 61 6d 6d 65 6e 67 65 66 61 73 73 rnes.und.Piet.Hut.zusammengefass
22e0 74 20 77 65 72 64 65 6e 20 77 65 6c 63 68 65 72 20 64 75 72 63 68 20 64 65 6e 20 4d 61 73 73 65 t.werden.welcher.durch.den.Masse
2300 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 64 65 72 20 53 74 65 72 6e 65 20 64 69 65 20 65 72 00 62 .Mittelpunkt.der.Sterne.die.er.b
2320 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 6e 20 73 6f 6c 6c 65 6e 20 77 65 67 20 73 69 6e 64 20 erechnet.werden.sollen.weg.sind.
2340 75 6e 64 20 6b 6c 65 69 6e 20 67 65 6e 75 67 20 73 69 6e 64 20 7a 75 20 65 69 6e 65 6d 20 50 73 und.klein.genug.sind.zu.einem.Ps
2360 65 75 64 6f 2d 20 53 74 65 72 6e 00 6b 6c 65 69 6e 65 20 43 6c 75 73 74 65 72 20 61 6e 20 53 74 eudo-.Stern.kleine.Cluster.an.St
2380 65 72 6e 65 6e 20 77 65 6c 63 68 65 20 77 65 69 74 20 67 65 6e 75 67 20 76 6f 6d 20 53 74 65 72 ernen.welche.weit.genug.vom.Ster
23a0 6e 20 61 75 66 20 64 65 6e 20 64 69 65 20 4b 72 c3 a4 66 74 65 00 64 69 65 73 65 20 53 74 65 72 n.auf.den.die.Kr..fte.diese.Ster
23c0 6e 65 20 6a 65 64 6f 63 68 20 6e 69 63 68 74 20 6b 6f 6d 70 6c 65 74 74 20 61 75 73 20 64 65 72 ne.jedoch.nicht.komplett.aus.der
23e0 20 42 65 72 65 63 68 6e 75 6e 67 20 61 75 73 7a 75 6e 65 68 6d 65 6e 2c 20 6b c3 b6 6e 6e 65 6e .Berechnung.auszunehmen,.k..nnen
2400 00 73 6f 6c 6c 65 6e 2c 20 65 69 6e 66 61 63 68 20 6e 69 63 68 74 20 6d 65 68 72 20 62 65 61 63 .sollen,.einfach.nicht.mehr.beac
2420 68 74 65 74 20 77 65 72 64 65 6e 2c 20 64 61 20 73 69 65 20 6e 69 63 68 74 20 73 69 6e 6e 76 6f htet.werden,.da.sie.nicht.sinnvo
2440 6c 6c 20 62 65 69 74 72 61 67 65 6e 2e 20 55 6d 00 64 69 65 73 65 20 53 74 65 72 6e 65 2c 20 64 ll.beitragen..Um.diese.Sterne,.d
2460 69 65 20 73 65 68 72 20 77 65 69 74 20 65 6e 74 66 65 72 6e 74 20 76 6f 6d 20 53 74 65 72 6e 20 ie.sehr.weit.entfernt.vom.Stern.
2480 64 65 73 73 65 6e 20 4b 72 c3 a4 66 74 65 20 62 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 6e 00 dessen.Kr..fte.berechnet.werden.
24a0 64 61 72 67 65 73 74 65 6c 6c 74 20 77 65 72 64 65 6e 20 6b 61 6e 6e 2e 20 20 53 74 61 74 74 20 dargestellt.werden.kann...Statt.
24c0 6e 75 6e 20 6d 69 74 20 52 75 6e 64 75 6e 67 73 66 65 68 6c 65 72 6e 20 7a 75 20 72 65 63 68 6e nun.mit.Rundungsfehlern.zu.rechn
24e0 65 6e 2c 20 6b c3 b6 6e 6e 65 6e 00 77 69 72 6b 65 6e 64 65 20 4b 72 61 66 74 20 73 6f 20 67 65 en,.k..nnen.wirkende.Kraft.so.ge
2500 72 69 6e 67 20 69 73 74 20 64 61 73 20 73 69 65 20 6d 69 74 68 69 6c 66 65 20 76 6f 6e 20 43 6f ring.ist.das.sie.mithilfe.von.Co
2520 6d 70 75 74 65 72 6e 20 6e 69 63 68 74 20 6d 65 68 72 20 73 69 6e 6e 76 6f 6c 6c 00 61 6e 64 65 mputern.nicht.mehr.sinnvoll.ande
2540 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41 62 73 74 61 6e 64 20 7a 77 69 73 63 rem.dann,.wenn.der.Abstand.zwisc
2560 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67 72 6f c3 9f 20 77 69 72 64 2c 20 64 hen.den.Sternen.so.gro...wird,.d
2580 61 73 20 64 69 65 00 64 65 72 20 4b 72 61 66 74 20 65 6e 74 73 74 65 68 74 20 67 72 c3 b6 c3 9f as.die.der.Kraft.entsteht.gr....
25a0 65 72 20 61 6c 73 20 64 69 65 20 77 69 72 6b 65 6e 64 65 20 4b 72 61 66 74 20 77 69 72 64 2e 20 er.als.die.wirkende.Kraft.wird..
25c0 44 69 65 73 20 70 61 73 73 69 65 72 74 20 75 6e 74 65 72 00 5c 70 61 72 20 45 73 20 6b 6f 6d 6d Dies.passiert.unter.\par.Es.komm
25e0 74 20 7a 75 20 50 72 6f 62 6c 65 6d 65 6e 2c 20 77 65 6e 6e 20 64 65 72 20 6d 69 74 74 6c 65 72 t.zu.Problemen,.wenn.der.mittler
2600 65 20 46 65 68 6c 65 72 2c 20 64 65 72 20 62 65 69 20 64 65 72 20 42 65 72 65 63 68 6e 75 6e 67 e.Fehler,.der.bei.der.Berechnung
2620 00 00 6c 69 65 67 74 2e 00 64 65 72 20 41 6e 7a 61 68 6c 20 64 65 72 20 53 74 65 72 6e 65 20 73 ..liegt..der.Anzahl.der.Sterne.s
2640 74 65 69 67 74 20 75 6e 64 20 73 6f 6d 69 74 20 69 6e 20 5c 28 20 4f 28 6e 20 5c 63 64 6f 74 20 teigt.und.somit.in.\(.O(n.\cdot.
2660 28 6e 20 2d 20 31 29 29 20 5c 69 6e 20 4f 28 6e 5e 32 29 20 5c 29 00 6e c3 b6 74 69 67 65 6e 20 (n.-.1)).\in.O(n^2).\).n..tigen.
2680 4b 72 61 66 74 20 42 65 72 65 63 68 6e 75 6e 67 65 6e 20 77 6f 64 75 72 63 68 20 64 65 72 20 52 Kraft.Berechnungen.wodurch.der.R
26a0 65 63 68 65 6e 61 75 66 77 61 6e 64 20 51 75 61 64 72 61 74 69 73 63 68 20 69 6e 20 52 65 6c 61 echenaufwand.Quadratisch.in.Rela
26c0 74 69 6f 6e 20 7a 75 00 57 69 65 20 62 65 72 65 69 74 73 20 62 65 73 63 68 72 69 65 62 65 6e 20 tion.zu.Wie.bereits.beschrieben.
26e0 69 73 74 20 65 69 6e 65 73 20 64 65 72 20 50 72 6f 62 6c 65 6d 65 20 64 61 73 20 41 75 66 74 72 ist.eines.der.Probleme.das.Auftr
2700 69 74 74 20 64 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 00 5c 73 75 62 73 75 62 73 65 63 74 69 6f itt.die.Anzahl.der.\subsubsectio
2720 6e 7b 5a 75 20 6c c3 b6 73 65 6e 64 65 20 50 72 6f 62 6c 65 6d 65 7d 00 00 5c 73 75 62 73 65 63 n{Zu.l..sende.Probleme}..\subsec
2740 74 69 6f 6e 7b 4b 6f 6e 7a 65 70 74 65 7d 00 00 64 69 65 20 46 6c 69 65 68 6b 72 61 66 74 20 73 tion{Konzepte}..die.Fliehkraft.s
2760 69 65 20 65 69 6e 66 61 63 68 20 61 75 73 65 69 6e 61 6e 64 65 72 7a 69 65 68 74 2e 00 65 78 70 ie.einfach.auseinanderzieht..exp
2780 6c 6f 64 69 65 72 74 20 73 69 65 20 66 c3 b6 72 6d 6c 69 63 68 2c 20 64 61 20 64 69 65 20 53 74 lodiert.sie.f..rmlich,.da.die.St
27a0 65 72 6e 65 20 6e 69 63 68 74 20 6d 65 68 72 20 7a 75 73 61 6d 6d 65 6e 67 65 68 61 6c 74 65 6e erne.nicht.mehr.zusammengehalten
27c0 20 77 65 72 64 65 6e 20 75 6e 64 00 4d 61 73 73 65 6e 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 7a .werden.und.Massen.Mittelpunkt.z
27e0 69 65 68 74 20 61 75 73 2e 20 52 6f 74 69 65 72 74 20 6d 61 6e 20 64 69 65 20 47 61 6c 61 78 69 ieht.aus..Rotiert.man.die.Galaxi
2800 65 20 6a 65 64 6f 63 68 20 7a 75 20 73 63 68 6e 65 6c 6c 2c 00 67 6c 65 69 63 68 74 20 64 75 72 e.jedoch.zu.schnell,.gleicht.dur
2820 63 68 20 64 69 65 20 5a 65 6e 74 72 69 70 65 74 61 6c 6b 72 61 66 74 20 64 69 65 20 4b 72 61 66 ch.die.Zentripetalkraft.die.Kraf
2840 74 20 64 69 65 20 41 6c 6c 65 20 53 74 65 72 6e 65 20 52 69 63 68 74 75 6e 67 00 64 65 6e 20 4d t.die.Alle.Sterne.Richtung.den.M
2860 61 73 73 65 6e 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 64 65 72 20 47 61 6c 61 78 69 65 20 64 65 assen.Mittelpunkt.der.Galaxie.de
2880 66 69 6e 69 65 72 74 2c 20 6d 61 6e 20 72 6f 74 69 65 72 74 20 61 6c 73 6f 20 64 69 65 20 47 61 finiert,.man.rotiert.also.die.Ga
28a0 6c 61 78 69 65 20 75 6e 64 00 41 6e 66 61 6e 67 73 20 4b 72 c3 a4 66 74 65 20 7a 75 20 77 69 72 laxie.und.Anfangs.Kr..fte.zu.wir
28c0 6b 65 6e 2e 20 44 69 65 73 65 20 4b 72 c3 a4 66 74 65 20 73 69 6e 64 20 64 75 72 63 68 20 64 69 ken..Diese.Kr..fte.sind.durch.di
28e0 65 20 52 6f 74 61 74 69 6f 6e 20 64 65 72 20 47 61 6c 61 78 69 65 20 75 6d 00 77 c3 bc 72 64 65 e.Rotation.der.Galaxie.um.w..rde
2900 20 73 6f 6d 69 74 20 69 6d 70 6c 6f 64 69 65 72 65 6e 2e 20 45 73 20 69 73 74 20 61 6c 73 6f 20 .somit.implodieren..Es.ist.also.
2920 6e c3 b6 74 69 67 20 61 75 66 20 64 69 65 20 53 74 65 72 6e 65 20 69 6e 20 64 65 72 20 47 61 6c n..tig.auf.die.Sterne.in.der.Gal
2940 61 78 69 65 00 77 69 72 6b 65 6e 2c 20 77 c3 bc 72 64 65 6e 20 61 6c 6c 65 20 4f 62 6a 65 6b 74 axie.wirken,.w..rden.alle.Objekt
2960 65 20 7a 75 6d 20 4d 61 73 73 65 6e 20 4d 69 74 74 65 6c 70 75 6e 6b 74 20 67 65 7a 6f 67 65 6e e.zum.Massen.Mittelpunkt.gezogen
2980 20 77 65 72 64 65 6e 20 75 6e 64 20 64 69 65 20 47 61 6c 61 78 69 65 00 62 65 72 65 63 68 6e 65 .werden.und.die.Galaxie.berechne
29a0 74 20 6d 61 6e 20 6e 75 72 20 64 69 65 20 4b 72 c3 a4 66 74 65 20 64 69 65 20 61 75 66 20 72 75 t.man.nur.die.Kr..fte.die.auf.ru
29c0 68 65 6e 64 65 20 4f 62 6a 65 6b 74 65 20 69 6e 20 65 69 6e 65 6d 20 52 65 69 62 75 6e 67 73 66 hende.Objekte.in.einem.Reibungsf
29e0 72 65 69 65 6d 20 52 61 75 6d 00 5c 70 61 72 20 44 69 65 73 20 72 65 69 63 68 74 20 6a 65 64 6f reiem.Raum.\par.Dies.reicht.jedo
2a00 63 68 20 61 75 63 68 20 6e 69 63 68 74 20 75 6d 20 65 69 6e 65 20 60 60 73 74 61 62 69 6c 65 60 ch.auch.nicht.um.eine.``stabile`
2a20 60 20 47 61 6c 61 78 69 65 20 7a 75 20 67 65 6e 65 72 69 65 72 65 6e 3a 00 00 75 6d 20 69 6e 20 `.Galaxie.zu.generieren:..um.in.
2a40 65 69 6e 65 72 20 73 69 6e 6e 76 6f 6c 6c 65 6e 20 5a 65 69 74 20 61 6e 20 65 69 6e 20 45 72 67 einer.sinnvollen.Zeit.an.ein.Erg
2a60 65 62 6e 69 73 20 7a 75 20 6b 6f 6d 6d 65 6e 2e 00 64 61 73 73 20 64 69 65 20 41 6e 7a 61 68 6c ebnis.zu.kommen..dass.die.Anzahl
2a80 20 64 65 72 20 4b 72 c3 a4 66 74 65 20 64 69 65 20 62 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 .der.Kr..fte.die.berechnet.werde
2aa0 6e 20 6d c3 bc 73 73 65 6e 20 6d 69 6e 69 6d 69 65 72 74 20 77 65 72 64 65 6e 20 6d c3 bc 73 73 n.m..ssen.minimiert.werden.m..ss
2ac0 65 6e 00 65 69 6e 65 72 20 27 27 65 63 68 74 65 6e 27 27 20 47 61 6c 61 78 69 65 20 6d 69 74 20 en.einer.''echten''.Galaxie.mit.
2ae0 5c 28 20 3e 32 30 30 20 5c 63 64 6f 74 20 31 30 5e 36 20 5c 29 20 53 74 65 72 6e 65 6e 20 69 73 \(.>200.\cdot.10^6.\).Sternen.is
2b00 74 20 64 65 6d 6e 61 63 68 20 73 6f 20 67 72 6f c3 9f 2c 00 41 6e 7a 61 68 6c 20 64 65 72 20 4b t.demnach.so.gro..,.Anzahl.der.K
2b20 72 61 66 74 20 42 65 72 65 63 68 6e 75 6e 67 65 6e 20 64 69 65 20 64 75 72 63 68 67 65 66 c3 bc raft.Berechnungen.die.durchgef..
2b40 68 72 74 20 77 65 72 64 65 6e 20 6d c3 bc 73 73 65 6e 20 62 65 69 6d 20 73 69 6d 75 6c 69 65 72 hrt.werden.m..ssen.beim.simulier
2b60 65 6e 00 5c 29 20 75 6e 64 20 66 c3 bc 72 20 5c 28 20 31 2e 30 30 30 2e 30 30 30 20 5c 29 20 53 en.\).und.f..r.\(.1.000.000.\).S
2b80 74 65 72 6e 65 20 5c 28 20 5c 61 70 70 72 6f 78 20 39 2e 39 39 39 39 39 20 5c 63 64 6f 74 20 31 terne.\(.\approx.9.99999.\cdot.1
2ba0 30 5e 7b 31 31 7d 20 5c 29 2e 20 44 69 65 00 64 65 6d 6e 61 63 68 20 5c 28 20 36 20 5c 29 20 4b 0^{11}.\)..Die.demnach.\(.6.\).K
2bc0 72 c3 a4 66 74 65 20 62 65 72 65 63 68 6e 65 74 20 77 65 72 64 65 6e 2c 20 66 c3 bc 72 20 5c 28 r..fte.berechnet.werden,.f..r.\(
2be0 20 31 30 30 20 5c 29 20 53 74 65 72 6e 65 20 64 61 67 65 67 65 6e 20 5c 28 20 39 39 30 30 00 6c .100.\).Sterne.dagegen.\(.9900.l
2c00 61 73 73 65 6e 20 73 69 63 68 20 6d 69 74 20 64 65 72 20 46 6f 72 6d 65 6c 20 5c 28 20 6e 20 5c assen.sich.mit.der.Formel.\(.n.\
2c20 63 64 6f 74 20 28 6e 2d 31 29 20 5c 29 20 62 65 72 65 63 68 6e 65 6e 2e 20 46 c3 bc 72 20 5c 28 cdot.(n-1).\).berechnen..F..r.\(
2c40 20 6e 3d 33 20 5c 29 20 6d c3 bc 73 73 65 6e 00 6d c3 bc 73 73 65 6e 20 73 74 65 69 67 65 6e 20 .n=3.\).m..ssen.m..ssen.steigen.
2c60 65 78 70 6f 6e 65 6e 74 69 65 6c 6c 3a 20 44 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 20 4b 72 c3 exponentiell:.Die.Anzahl.der.Kr.
2c80 a4 66 74 65 20 64 69 65 20 61 75 66 20 5c 28 6e 5c 29 20 53 74 65 72 6e 65 20 77 69 72 6b 65 6e .fte.die.auf.\(n\).Sterne.wirken
2ca0 00 65 73 20 7a 75 20 50 72 6f 62 6c 65 6d 65 6e 3a 20 64 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 .es.zu.Problemen:.die.Anzahl.der
2cc0 20 4b 72 61 66 74 20 42 65 72 65 63 68 6e 75 6e 67 65 6e 20 64 69 65 20 64 75 72 63 68 67 65 66 .Kraft.Berechnungen.die.durchgef
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