blob: 000780c8d8619e5fc3262c85f80fc63d4fd3a58e (plain)

ofs	hex dump	ascii
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0060	00 00 00 00 00 00 00 00 00 00 00 00 7e 68 61 6e 65 6d 69 6c 65 2f 44 6f 63 75 6d 65 6e 74 73 2f	............~hanemile/Documents/
0080	70 72 6f 6a 65 63 74 73 2f 47 61 6c 61 78 79 53 69 6d 75 6c 61 74 6f 72 2f 57 72 69 74 65 75 70	projects/GalaxySimulator/Writeup
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1960	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
1980	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
19a0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
19c0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
19e0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
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 50 00 00 00 88 01 00 00 00 10 00 00 47 00 00 00 00 00 00 00 eb 0f 00 00 ea 0f 00 00	ad..P...........G...............
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 2a 07 00 00 de 06 00 00 b1 06 00 00 b0 06 00 00	....}...P...O...*...............
20c0	9f 06 00 00 58 06 00 00 1a 06 00 00 0b 06 00 00 0a 06 00 00 bf 05 00 00 73 05 00 00 6b 05 00 00	....X...................s...k...
20e0	6a 05 00 00 59 05 00 00 1f 05 00 00 10 05 00 00 0f 05 00 00 f9 04 00 00 ab 04 00 00 64 04 00 00	j...Y.......................d...
2100	18 04 00 00 c8 03 00 00 85 03 00 00 84 03 00 00 5f 03 00 00 14 03 00 00 c3 02 00 00 75 02 00 00	................_...........u...
2120	6e 02 00 00 6d 02 00 00 20 02 00 00 d3 01 00 00 88 01 00 00 87 01 00 00 00 00 00 00 00 00 00 00	n...m...........................
2140	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
2160	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	................................
2180	00 00 00 00 00 00 00 00 61 6e 64 65 72 65 6d 20 64 61 6e 6e 2c 20 77 65 6e 6e 20 64 65 72 20 41	........anderem.dann,.wenn.der.A
21a0	62 73 74 61 6e 64 20 7a 77 69 73 63 68 65 6e 20 64 65 6e 20 53 74 65 72 6e 65 6e 20 73 6f 20 67	bstand.zwischen.den.Sternen.so.g
21c0	72 6f c3 9f 20 77 69 72 64 2c 20 64 61 73 20 64 69 65 00 64 65 72 20 4b 72 61 66 74 20 65 6e 74	ro...wird,.das.die.der.Kraft.ent
21e0	73 74 65 68 74 20 67 72 c3 b6 c3 9f 65 72 20 61 6c 73 20 64 69 65 20 77 69 72 6b 65 6e 64 65 20	steht.gr....er.als.die.wirkende.
2200	4b 72 61 66 74 20 77 69 72 64 2e 20 44 69 65 73 20 70 61 73 73 69 65 72 74 20 75 6e 74 65 72 00	Kraft.wird..Dies.passiert.unter.
2220	5c 70 61 72 20 45 73 20 6b 6f 6d 6d 74 20 7a 75 20 50 72 6f 62 6c 65 6d 65 6e 2c 20 77 65 6e 6e	\par.Es.kommt.zu.Problemen,.wenn
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22a0	28 20 4f 28 6e 20 5c 63 64 6f 74 20 28 6e 20 2d 20 31 29 29 20 5c 69 6e 20 4f 28 6e 5e 32 29 20	(.O(n.\cdot.(n.-.1)).\in.O(n^2).
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2300	69 73 63 68 20 69 6e 20 52 65 6c 61 74 69 6f 6e 20 7a 75 00 57 69 65 20 62 65 72 65 69 74 73 20	isch.in.Relation.zu.Wie.bereits.
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2340	6d 65 20 64 61 73 20 41 75 66 74 72 69 74 74 20 64 69 65 20 41 6e 7a 61 68 6c 20 64 65 72 00 5c	me.das.Auftritt.die.Anzahl.der.\
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23e0	65 66 69 6e 69 65 72 74 20 64 69 65 20 61 6c 6c 65 20 53 74 65 72 6e 65 20 62 65 69 6e 68 61 6c	efiniert.die.alle.Sterne.beinhal
2400	74 65 74 20 77 65 6c 63 68 65 20 61 6e 73 63 68 6c 69 65 c3 9f 65 6e 00 25 41 6c 67 6f 72 69 74	tet.welche.anschlie..en.%Algorit
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24a0	42 61 72 6e 65 73 2d 48 75 74 00 25 44 69 65 20 53 6f 66 74 77 61 72 65 20 69 73 74 20 6b 6f 6d	Barnes-Hut.%Die.Software.ist.kom
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2500	74 69 6f 6e 7b 4b 6f 6e 7a 65 70 74 65 7d 00 00 5c 65 6e 64 7b 65 71 75 61 74 69 6f 6e 7d 00 20	tion{Konzepte}..\end{equation}..
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2660	7b 46 7d 5f 7b 41 42 7d 20 3d 20 5c 75 6e 64 65 72 62 72 61 63 65 7b 2d 47 20 5c 66 72 61 63 7b	{F}_{AB}.=.\underbrace{-G.\frac{
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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
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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
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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
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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
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