Tangents
Document Sample


Data
l (I) l (II) Tangents V V V sin(l)
322 -5 Tangent -0.087156
327 0 0
330 3 0.052336
335 8 2.05 21.370863 0.1391731
340 13 2.06 21.475111 0.2249511
345 18 7.03 -2.2 73.286422 -22.93458 0.309017
350 23 12.58 -2.6 131.14412 -27.10451 0.3907311
355 28 9.16 -3.2 95.491269 -33.3594 0.4694716
0 33 8.28 -3.7 86.317435 -38.5718 0.544639
5 38 7.54 -4 78.603075 -41.69924 0.6156615
10 43 6.66 -4 69.429242 -41.69924 0.6819984
15 48 5.36 -4.4 55.876987 -45.86917 0.7431448
20 53 4.92 -4.7 51.29007 -48.99661 0.7986355
25 58 3.25 -5.8 33.880636 -60.4639 0.8480481
30 63 2.93 -6 30.544696 -62.54887 0.8910065
35 68 1.11 -5.8 11.57154 -60.4639 0.9271839
40 73 0.69 -6 7.1931196 -62.54887 0.9563048
45 78 0 -6.6 -2.4 0 -68.80375 -25.01955 0.9781476
50 83 -6.93 -3.9 -72.24394 -40.65676 0.9925462
55 88 -7 -3.8 -72.97368 -39.61428 0.9993908
60 93 -7.3 -4.2 -76.10112 -43.78421 0.9986295
65 98 -4.8 -50.03909 0.9902681
70 103 -9.2 -5.1 -95.90826 -53.16654 0.9743701
75 108 -9.2 -4.9 -95.90826 -51.08157 0.9510565
80 113 -9 -4.7 -93.8233 -48.99661 0.9205049
85 118 -8.6 -4.3 -89.65338 -44.82669 0.8829476
90 123 -9.5 -4.3 -99.0357 -44.82669 0.8386706
95 128 -9.5 -4.8 -99.0357 -50.03909 0.7880108
100 133 -8.78 -4.3 -91.52984 -44.82669 0.7313537
105 138 -8.4 -3.7 -87.56841 -38.5718 0.6691306
110 143 -7.4 -3.7 -77.1436 -38.5718 0.601815
115 148 -3.1 -32.31691 0.5299193
120 153 -2.2 -22.93458 0.4539905
125 158 -2.2 -22.93458 0.3746066
130 163 -1.5 -15.63722 0.2923717
135 168 -1.1 -11.46729 0.2079117
140 173 -0.65 -6.776127 0.1218693
145 178 0.0348995
147 180 0 0 -2.07E-13
150 183 -0.052336
155 188 0.64 6.6718791 -0.139173
160 193 0.91 9.4865781 -0.224951
165 198 1.33 13.864999 -0.309017
170 203 1.1 2.2 11.467292 22.934584 -0.390731
175 208 1.4 3.8 14.594735 39.614282 -0.469472
180 213 0.8 2.6 4.5 8.3398488 27.104509 46.91165 -0.544639
185 218 2.7 5.2 28.14699 54.209017 -0.615661
190 223 1.4 3.5 5.8 14.594735 36.486839 60.463904 -0.681998
Page 1
Data
195 228 1.6 3.8 6.3 16.679698 39.614282 65.67631 -0.743145
200 233 2.1 4.6 6.9 21.892103 47.954131 71.931196 -0.798636
205 238 1.95 5.5 7.9 20.328382 57.336461 82.356007 -0.848048
210 243 1.8 6.3 8.8 18.76466 65.67631 91.738337 -0.891007
215 248 1.8 5.9 8.5 18.76466 61.506385 88.610894 -0.927184
220 253 1.7 8.6 17.722179 89.653375 -0.956305
Page 2
Data
DW DW DW r r r q q q
-8.835461 11.867698 0.0978093
-8.258178 11.556004 0.0684222
-8.459206 11.66267 0.1850627
-8.431054 11.647614 0.259141
-8.06319 11.45439 0.3368381
-7.278897 11.063104 0.4280713
-7.347983 11.096494 0.5039264
-7.30362 11.07503 0.5648197
-8.487825 11.678016 0.5993389
-8.357171 11.608285 0.6495595
-7.763383 11.301591 0.7409243
-7.786528 11.313241 0.7775256
-8.373913 -3.045059 9.3406268
11.617174 0.7856243 1.190308
-8.665057 -4.876439 10.015119
11.773956 0.7868338 1.1045204
-8.692638 -4.718861 9.9532765
11.789028 0.7924747 1.1258074
-9.07209 -5.219559 10.152472
12.000375 0.7740245 1.0998281
-6.015578 10.486111 0.9161507
-11.71798 -6.495837 13.714818 10.698224 0.6394803 1.0316939
-12.00523 -6.394089 13.930886 10.652572 0.6107291 1.0085537
-12.13404 -6.336664 14.030004 10.626979 0.583708 0.9719035
-12.08794 -6.043972 13.994374 10.498417 0.5585788 0.9345887
-14.05792 -6.363059 15.698224 10.638727 0.4653842 0.8895406
-14.96168 -7.559586 16.626938 11.200031 0.4094517 0.7981122
-14.89896 -7.296757 16.558952 11.071717 0.3800856 0.7414474
-15.57964 -6.862459 17.327878 10.866014 0.3303489 0.6902693
-15.26011 -7.630054 16.95822 11.234941 0.3027016 0.5958722
-7.260071 11.05404 0.4144508
-6.014019 10.485436 0.3722335
-7.288467 11.067717 0.2882897
-6.367146 10.640549 0.2329079
-6.566027 10.729946 0.1634922
-6.619235 10.754118 0.095336
0
0
0
-5.707075 10.354237 -0.113147
-5.020446 10.072311 -0.188721
-5.341438 10.202173 -0.257259
-3.493845 -6.987689 9.4973684 10.92454 -0.352861 -0.32435
-3.700903 -10.04531 9.5714721 12.578748 -0.424661 -0.343322
-1.822931 -5.924524 -10.25398 8.9388889 10.446841 12.710098 -4.254836 -0.467256 -0.41359
-5.442654 -10.48215 10.243818 12.856888 -0.529204 -0.461086
-2.547614 -6.369035 -10.5544 9.1728272 10.641391 12.904081 -4.566625 -0.592912 -0.52109
Page 3
Data
-2.671994 -6.345985 -10.52098 9.2142155 10.631125 12.882206 -4.723677 -0.6555 -0.572202
-3.263319 -7.148223 -10.72234 9.4162043 11.000494 13.015122 -4.859595 -0.69251 -0.621808
-2.853665 -8.0488 -11.561 9.2753437 11.446961 13.599547 -5.02962 -0.705729 -0.647313
-2.507151 -8.775029 -12.25718 9.159443 11.834283 14.126091 -5.197565 -0.716113 -0.668358
-2.409326 -7.897235 -11.37737 9.1272452 11.369303 13.46714 -5.350712 -0.786065 -0.719645
-2.206183 -11.16069 9.0611014 13.31418 -5.505479 -0.647681
Page 4
Data
r q velscale 10.424811
Tangent Tangent rsun (km) 8.4
pi 3.1415927
Wsun (km/s/kpc) 30
1.169054 1.43117 Vsun (km/s) 254
1.8895889 1.3439035
2.5957428 1.2566371
3.2821415 1.1693706
3.9435611 1.0821041
4.5749679 0.9948377
5.1715564 0.9075712
5.7287862 0.8203047
6.2424165 0.7330383
6.7085383 0.6457718
7.123604 0.5585054
7.4844548 0.4712389
7.7883444 0.3839724
8.03296 0.296706
8.2164398 0.2094395
Page 5
Tangents
r q f x y
1.182971 1.43117 0.139626 1.171459 0.164638
1.912084 1.343904 0.226893 1.863077 0.430125 9
2.626644 1.256637 0.314159 2.498087 0.811678 8
3.321215 1.169371 0.401426 3.057194 1.297702 7
3.990508 1.082104 0.488692 3.52341 1.87343 6
4.629432 0.994838 0.575959 3.882568 2.521369
5
5.233123 0.907571 0.663225 4.123757 3.221832
4
5.796986 0.820305 0.750492 4.239647 3.953535
6.316731 0.733038 0.837758 4.226718 4.694246 3
6.788402 0.645772 0.925025 4.085362 5.421459 2
7.208409 0.558505 1.012291 3.819875 6.113077 1
7.573555 0.471239 1.099557 3.438322 6.748087 0
7.881063 0.383972 1.186824 2.952298 7.307194
0 2 4 6
8.12859 0.296706 1.27409 2.37657 7.77341
8.314255 0.20944 1.361357 1.728631 8.132568
Page 6
Plot
r q x y
11.867698 0.0835309 0.9901675 11.826319 20
11.556004 0.051265 0.5921594 11.540822
11.66267 0.1635762 1.8992385 11.506988
11.647614 0.233756 2.6979721 11.330837
11.45439 0.3086011 3.4789976 10.913277
11.063104 0.3986709 4.2946282 10.195511 15
11.096494 0.4705422 5.0308137 9.8905559
11.07503 0.5278633 5.5783668 9.567555 Perseus arm
11.678016 0.5536974 6.1407187 9.933158
11.608285 0.6007563 6.561775 9.5757705 10
11.301591 0.691305 7.2052518 8.7069114
Orion spur
11.313241 0.7248522 7.50096 8.469063 Sun
11.617174 0.7280339 7.7301053 8.6720352
11.773956 0.7263758 7.8198448 8.802049
5
11.789028 0.7311045 7.8714431 8.776193
12.000375 0.5919067 6.6955414 9.9588518
13.714818 0.5685651 7.3843795 11.557127
Galactic
13.930886 0.5411358 7.175937 11.940499
center
14.030004 0.5167249 6.9313173 12.198272 0
13.994374 0.4954553 6.6533765 12.311583 -15 -10 -5 0
15.698224 0.3990121 6.09889 14.465054
16.626938 0.34463 5.6173852 15.649282
16.558952 0.3207822 5.2211861 15.714264 -5
17.327878 0.2745277 4.6974555 16.679007
16.95822 0.2538808 4.2592652 16.414624
9.4973684 -0.345436 -3.215876 8.9363385
9.5714721 -0.414937 -3.858565 8.7592552
10.446841 -0.448992 -4.534528 9.4114045 -10
10.243818 -0.509477 -4.996121 8.9428511
10.641391 -0.566783 -5.713588 8.9774224
10.631125 -0.626033 -6.229147 8.6150183
11.000494 -0.656194 -6.711462 8.7159137
11.446961 -0.661911 -7.03559 9.0295837
11.834283 -0.665547 -7.307547 9.3085993
11.369303 -0.735859 -7.631348 8.427548
9.6182777 1.1591921 8.8149609 3.8480814
10.444715 1.0612643 9.1179532 5.0946055
10.368062 1.0824073 9.155931 4.8647346
10.615608 1.0889618 9.406982 4.9193324
11.034457 0.8676595 8.4172786 7.1350308
11.303535 0.982857 9.4055071 6.2694778
11.245438 0.9627421 9.2298188 6.4241981
11.212912 0.9293913 8.9844121 6.7089294
11.050009 0.8967567 8.633446 6.8968328
11.227839 0.8537021 8.4626305 7.3789061
11.948922 0.7608686 8.2393878 8.6538555
11.782701 0.7090081 7.6714957 8.9431652
Page 7
Plot
11.517945 0.6630668 7.0897185 9.0773869
11.994288 0.5697615 6.4700931 10.099546
11.759867 0.393068 4.5043137 10.86304
11.033605 0.3572961 3.8589192 10.336787
11.777533 0.2737654 3.184156 11.338935
11.230154 0.2231406 2.4851595 10.951728
11.343964 0.1564248 1.7672494 11.205461
11.374805 0.0911951 1.0358894 11.327538
10.868266 -0.109062 -1.182971 10.803693
10.515764 -0.182847 -1.912084 10.340466
10.677665 -0.248545 -2.626644 10.349554
11.593059 -0.309753 -3.533831 11.041334
13.788586 -0.318042 -4.311786 13.097084
13.969138 -0.38317 -5.222538 12.956153
14.172039 -0.425333 -5.847727 12.909329
14.237527 -0.480432 -6.580044 12.625775
14.207156 -0.527068 -7.146222 12.279039
14.392101 -0.571475 -7.784304 12.105254
15.217161 -0.589483 -8.459702 12.64893
15.97749 -0.6038 -9.071611 13.152417
15.028521 -0.654993 -9.15468 11.918402
14.811857 -0.580915 -8.12859 12.382129
9.1358831 -4.24894 8.1721917 -4.084072
9.4159093 -4.555306 9.2999786 -1.473006
9.4657063 -4.709966 9.4656785 -0.022935
9.709841 -4.840791 9.6299069 1.2433447
9.5393946 -5.010524 9.1185734 2.802083
9.3998224 -5.178028 8.39907 4.2204601
9.3611556 -5.329192 7.6361904 5.4147788
9.2818681 -5.482669 6.6617429 6.4633008
1.1714588 0.1646378
1.8630774 0.4301253
2.4980873 0.8116778
3.0571942 1.2977019
3.5234097 1.8734302
3.8825682 2.5213693
4.1237568 3.2218319
4.2396472 3.953535
4.2267181 4.694246
4.0853622 5.4214588
3.8198747 6.1130774
3.4383222 6.7480873
2.9522981 7.3071942
2.3765698 7.7734097
1.7286307 8.1325682
8.4 0 0 8.4
Page 8
Plot
8.4 0.098175 0.823344 8.3595517
8.4 0.19635 1.6387587 8.2385964
8.4 0.294524 2.4383913 8.0382988
8.4 0.392699 3.2145408 7.7605881
8.4 0.490874 3.9597326 7.4081386
8.4 0.589049 4.66679 6.9843447
8.4 0.687223 5.3289036 6.4932878
8.4 0.785398 5.939697 5.939697
8.4 0.883573 6.4932878 5.3289036
8.4 0.981748 6.9843447 4.66679
8.4 1.079922 7.4081386 3.9597326
8.4 1.178097 7.7605881 3.2145408
8.4 1.276272 8.0382988 2.4383913
8.4 1.374447 8.2385964 1.6387587
8.4 1.472622 8.3595517 0.823344
8.4 1.570796 8.4 -8.71E-13
8.4 1.668971 8.3595517 -0.823344
8.4 1.767146 8.2385964 -1.638759
8.4 1.865321 8.0382988 -2.438391
8.4 1.963495 7.7605881 -3.214541
8.4 2.06167 7.4081386 -3.959733
8.4 2.159845 6.9843447 -4.66679
8.4 2.25802 6.4932878 -5.328904
8.4 2.356194 5.939697 -5.939697
8.4 2.454369 5.3289036 -6.493288
8.4 2.552544 4.66679 -6.984345
8.4 2.650719 3.9597326 -7.408139
8.4 2.748894 3.2145408 -7.760588
8.4 2.847068 2.4383913 -8.038299
8.4 2.945243 1.6387587 -8.238596
8.4 3.043418 0.823344 -8.359552
8.4 3.141593 -1.73E-12 -8.4
8.4 3.239767 -0.823344 -8.359552
8.4 3.337942 -1.638759 -8.238596
8.4 3.436117 -2.438391 -8.038299
8.4 3.534292 -3.214541 -7.760588
8.4 3.632467 -3.959733 -7.408139
8.4 3.730641 -4.66679 -6.984345
8.4 3.828816 -5.328904 -6.493288
8.4 3.926991 -5.939697 -5.939697
8.4 4.025166 -6.493288 -5.328904
8.4 4.12334 -6.984345 -4.66679
8.4 4.221515 -7.408139 -3.959733
8.4 4.31969 -7.760588 -3.214541
8.4 4.417865 -8.038299 -2.438391
8.4 4.516039 -8.238596 -1.638759
8.4 4.614214 -8.359552 -0.823344
8.4 4.712389 -8.4 2.61E-12
8.4 4.810564 -8.359552 0.823344
Page 9
Plot
8.4 4.908739 -8.238596 1.6387587
8.4 5.006913 -8.038299 2.4383913
8.4 5.105088 -7.760588 3.2145408
8.4 5.203263 -7.408139 3.9597326
8.4 5.301438 -6.984345 4.66679
8.4 5.399612 -6.493288 5.3289036
8.4 5.497787 -5.939697 5.939697
8.4 5.595962 -5.328904 6.4932878
8.4 5.694137 -4.66679 6.9843447
8.4 5.792311 -3.959733 7.4081386
8.4 5.890486 -3.214541 7.7605881
8.4 5.988661 -2.438391 8.0382988
8.4 6.086836 -1.638759 8.2385964
8.4 6.185011 -0.823344 8.3595517
8.4 6.283185 3.519E-12 8.4
0 8.4
Page 10
Plot
Outer arm
Tangents
5 10 15
Page 11
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