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Tully–Fisher relation

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194:), and even tighter when luminosity is replaced by the galaxy's total stellar mass. The relation in terms of stellar mass is dubbed the "stellar mass Tully Fisher relation" (STFR), and its scatter only shows correlations with the galaxy's kinematic morphology, such that more dispersion-supported systems scatter below the relation. The tightest correlation is recovered when considering the total baryonic mass (the sum of its mass in stars and gas). This latter form of the relation is known as the 1433: 1445: 31: 205:
The TFR can be used to estimate the distance to spiral galaxies by allowing the luminosity of a galaxy to be derived from its directly measurable line width. The distance can then be found by comparing the luminosity to the apparent brightness. Thus the TFR constitutes a rung of the
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Kourkchi, Ehsan; Tully, R. Brent; Eftekharzadeh, Sarah; Llop, Jordan; Courtois, Hélène M.; Guinet, Daniel; Dupuy, Alexandra; Neill, James D.; Seibert, Mark; Andrews, Michael; Chuang, Juana; Danesh, Arash; Gonzalez, Randy; Holthaus, Alexandria; Mokelke, Amber (2020-10-23).
90:. In the 1970s, Balkowski, C., et al. measured 13 galaxies but focused on using the data to distinguish galaxy shapes rather than extract distances. The relationship was first published in 1977 by astronomers 563:
S. Torres-Flores, B. Epinat, P. Amram, H. Plana, C. Mendes de Oliveira (2011), "GHASP: an Hα kinematic survey of spiral and irregular galaxies -- IX. The NIR, stellar and baryonic Tully–Fisher relations",
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width. Since the observed brightness of a galaxy is distance-dependent, the relationship can be used to estimate distances to galaxies from measurements of their rotational velocity.
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Several different forms of the TFR exist, depending on which precise measures of mass, luminosity or rotation velocity one takes it to relate. Tully and Fisher used
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Balkowski, C., et al. "Neutral hydrogen study of spiral and irregular dwarf galaxies." Astronomy and Astrophysics, Vol. 34, p. 43-52 34 (1974): 43-52.
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values called CosmicFlow uses Tully-Fisher analysis; the Cosmicflow-4 catalog has reached 10000 galaxies. Many values of the
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Opik, Ernst. "An estimate of the distance of the Andromeda Nebula." Astrophysical Journal, 55, 406-410 (1922) 55 (1922).
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McGaugh, S. S.; Schombert, J. M.; Bothun, G. D.; de Blok, W. J. G (2000). "The Baryonic Tully-Fisher Relation".
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in which it lives, making the TFR a manifestation of the connection between visible and dark matter mass. In
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The connection between rotational velocity measured spectroscopically and distance was first used in 1922 by
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luminosity, but subsequent work showed the relation to be tighter when defined using microwave to infrared (
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McGaugh, S. (2012). "The Baryonic Tully–Fisher Relation of Gas-Rich Galaxies as a Test of ΛCDM and MOND".
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paradigm, a galaxy's rotation velocity (and hence line width) is primarily determined by the mass of the
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have been derived from Tully-Fisher analysis, starting with the first paper and continuing through 2023.
1378: 1275: 977: 460:"The Tully–Fisher relation from SDSS-MaNGA: physical causes of scatter and variation at different radii" 67: 1408: 1358: 1193: 1105: 841: 725: 661: 600: 522: 422: 380: 1171: 1079: 1010: 902: 777: 226: 99: 1444: 1403: 1398: 1383: 1338: 1307: 1292: 1210: 1178: 1015: 967: 957: 616: 590: 565: 546: 512: 473: 412: 331: 105: 1436: 1418: 1393: 1363: 1242: 1084: 1074: 1057: 989: 818: 784: 745: 698: 538: 440: 237: 187: 167: 95: 35: 1448: 1250: 1225: 1205: 1200: 1188: 1042: 863: 796: 637: 608: 530: 483: 459: 430: 384: 288: 258: 218: 202:), and states that baryonic mass is proportional to velocity to the power of roughly 3.5–4. 87: 1297: 1220: 912: 885: 856: 808: 654: 326:
Said, Khaled (2023-10-24). "Tully-Fisher relation". In Di Valentino, E; Brout, D. (eds.).
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Tully, R. B.; Fisher, J. R. (1977). "A New Method of Determining Distances to Galaxies".
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The analogues of the TFR for non-rotationally-supported galaxies, such as
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The luminosity is calculated by multiplying the galaxy's 141: 108: 1326: 1241: 1134: 1093: 1003: 938: 829: 684: 147: 127: 159:, and the spectral-line width is measured using 1303:List of the most distant astronomical objects 662: 166:A series of collaborative catalogs of galaxy 8: 669: 655: 647: 594: 516: 487: 477: 434: 416: 335: 140: 119: 107: 34:The Tully–Fisher relation for spiral and 321: 319: 317: 315: 311: 7: 638:Scholarpedia article on the subject 223:Modified Newtonian dynamics (MOND) 25: 505:The Astrophysical Journal Letters 1443: 1432: 1431: 86:to estimate the distance to the 1477:Physical cosmological concepts 1374:Galaxy formation and evolution 1369:Galaxy color–magnitude diagram 196:baryonic Tully–Fisher relation 190:) radiation (a good proxy for 58:between the mass or intrinsic 1: 68:asymptotic rotation velocity 1256:Galaxies named after people 294:Modified Newtonian dynamics 289:Standard model of cosmology 1498: 1389:Gravitational microlensing 1344:Galactic coordinate system 613:10.1088/0004-6256/143/2/40 372:Astronomy and Astrophysics 128:{\displaystyle 4\pi d^{2}} 1427: 405:The Astrophysical Journal 1354:Galactic magnetic fields 1167:Brightest cluster galaxy 1063:Luminous infrared galaxy 436:10.3847/1538-4357/abb66b 1472:Extragalactic astronomy 1349:Galactic habitable zone 1334:Extragalactic astronomy 923:Supermassive black hole 837:Active galactic nucleus 458:Ristea, Andrei (2023). 385:1977A&A....54..661T 328:Hubble Constant Tension 227:gravitational force law 54:) is a widely verified 1101:Low surface brightness 852:Central massive object 489:10.1093/mnras/stad3638 274:Faber–Jackson relation 269:Cosmic distance ladder 242:Faber–Jackson relation 208:cosmic distance ladder 161:long-slit spectroscopy 149: 129: 56:empirical relationship 39: 1379:Galaxy rotation curve 583:Astrophysical Journal 155:is its distance from 150: 130: 48:Tully–Fisher relation 33: 18:Tully Fisher relation 1414:Population III stars 1409:Intergalactic travel 1359:Galactic orientation 1226:Voids and supervoids 139: 106: 1404:Intergalactic stars 1293:Large quasar groups 1288:Groups and clusters 1152:Groups and clusters 1011:Lyman-alpha emitter 903:Interstellar medium 605:2012AJ....143...40M 527:2000ApJ...533L..99M 427:2020ApJ...902..145K 240:, are known as the 100:apparent brightness 1399:Intergalactic dust 1384:Gravitational lens 1339:Galactic astronomy 1308:Starburst galaxies 1048:blue compact dwarf 1004:Energetic galaxies 968:BL Lacertae object 145: 125: 40: 27:Trend in astronomy 1459: 1458: 1419:Galaxy X (galaxy) 1394:Illustris project 1364:Galactic quadrant 1085:Wolf-Rayet galaxy 1075:Green bean galaxy 1070:Hot dust-obscured 1021:Luminous infrared 785:Elliptical galaxy 279:Fundamental plane 246:fundamental plane 229:effective at low 168:peculiar velocity 148:{\displaystyle d} 96:J. Richard Fisher 16:(Redirected from 1489: 1447: 1435: 1434: 1080:Hanny's Voorwerp 990:Relativistic jet 864:Dark matter halo 671: 664: 657: 648: 625: 624: 598: 578: 572: 561: 555: 554: 520: 518:astro-ph/0003001 500: 494: 493: 491: 481: 472:(3): 7438–7458. 455: 449: 448: 438: 420: 395: 389: 388: 366: 360: 357: 351: 348: 342: 341: 339: 323: 259:Distance modulus 219:dark matter halo 154: 152: 151: 146: 134: 132: 131: 126: 124: 123: 88:Andromeda Galaxy 21: 1497: 1496: 1492: 1491: 1490: 1488: 1487: 1486: 1482:Spiral galaxies 1462: 1461: 1460: 1455: 1423: 1322: 1237: 1130: 1089: 999: 934: 913:Galaxy filament 857:Galactic Center 825: 680: 675: 634: 629: 628: 580: 579: 575: 562: 558: 511:(2): L99–L102. 502: 501: 497: 457: 456: 452: 397: 396: 392: 368: 367: 363: 358: 354: 349: 345: 325: 324: 313: 308: 303: 264:Standard candle 254: 180: 172:Hubble constant 137: 136: 115: 104: 103: 80: 28: 23: 22: 15: 12: 11: 5: 1495: 1493: 1485: 1484: 1479: 1474: 1464: 1463: 1457: 1456: 1454: 1453: 1441: 1428: 1425: 1424: 1422: 1421: 1416: 1411: 1406: 1401: 1396: 1391: 1386: 1381: 1376: 1371: 1366: 1361: 1356: 1351: 1346: 1341: 1336: 1330: 1328: 1324: 1323: 1321: 1320: 1315: 1310: 1305: 1300: 1295: 1290: 1285: 1284: 1283: 1278: 1273: 1268: 1263: 1258: 1247: 1245: 1239: 1238: 1236: 1235: 1234: 1233: 1223: 1218: 1213: 1211:Stellar stream 1208: 1203: 1198: 1197: 1196: 1191: 1186: 1176: 1175: 1174: 1169: 1164: 1159: 1149: 1144: 1138: 1136: 1132: 1131: 1129: 1128: 1123: 1118: 1113: 1108: 1103: 1097: 1095: 1091: 1090: 1088: 1087: 1082: 1077: 1072: 1067: 1066: 1065: 1060: 1055: 1050: 1040: 1039: 1038: 1033: 1028: 1018: 1013: 1007: 1005: 1001: 1000: 998: 997: 992: 987: 986: 985: 980: 970: 965: 960: 955: 950: 944: 942: 936: 935: 933: 932: 931: 930: 920: 915: 910: 905: 900: 898:Galactic ridge 895: 893:Galactic plane 890: 889: 888: 878: 877: 876: 866: 861: 860: 859: 849: 844: 839: 833: 831: 827: 826: 824: 823: 822: 821: 811: 806: 805: 804: 794: 793: 792: 782: 781: 780: 775: 770: 765: 755: 754: 753: 748: 743: 738: 733: 728: 723: 713: 712: 711: 706: 696: 690: 688: 682: 681: 676: 674: 673: 666: 659: 651: 645: 644: 642:R. Brent Tully 633: 632:External links 630: 627: 626: 573: 556: 535:10.1086/312628 495: 450: 390: 379:(3): 661–673. 361: 352: 343: 310: 309: 307: 304: 302: 301: 296: 291: 286: 281: 276: 271: 266: 261: 255: 253: 250: 179: 176: 144: 122: 118: 114: 111: 92:R. Brent Tully 79: 76: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1494: 1483: 1480: 1478: 1475: 1473: 1470: 1469: 1467: 1452: 1451: 1446: 1442: 1440: 1439: 1430: 1429: 1426: 1420: 1417: 1415: 1412: 1410: 1407: 1405: 1402: 1400: 1397: 1395: 1392: 1390: 1387: 1385: 1382: 1380: 1377: 1375: 1372: 1370: 1367: 1365: 1362: 1360: 1357: 1355: 1352: 1350: 1347: 1345: 1342: 1340: 1337: 1335: 1332: 1331: 1329: 1325: 1319: 1316: 1314: 1313:Superclusters 1311: 1309: 1306: 1304: 1301: 1299: 1296: 1294: 1291: 1289: 1286: 1282: 1279: 1277: 1274: 1272: 1269: 1267: 1264: 1262: 1259: 1257: 1254: 1253: 1252: 1249: 1248: 1246: 1244: 1240: 1232: 1229: 1228: 1227: 1224: 1222: 1219: 1217: 1216:Superclusters 1214: 1212: 1209: 1207: 1204: 1202: 1199: 1195: 1192: 1190: 1187: 1185: 1182: 1181: 1180: 1177: 1173: 1170: 1168: 1165: 1163: 1160: 1158: 1155: 1154: 1153: 1150: 1148: 1147:Galactic tide 1145: 1143: 1140: 1139: 1137: 1133: 1127: 1124: 1122: 1119: 1117: 1114: 1112: 1109: 1107: 1106:Ultra diffuse 1104: 1102: 1099: 1098: 1096: 1092: 1086: 1083: 1081: 1078: 1076: 1073: 1071: 1068: 1064: 1061: 1059: 1056: 1054: 1051: 1049: 1046: 1045: 1044: 1041: 1037: 1034: 1032: 1029: 1027: 1024: 1023: 1022: 1019: 1017: 1014: 1012: 1009: 1008: 1006: 1002: 996: 993: 991: 988: 984: 981: 979: 976: 975: 974: 971: 969: 966: 964: 961: 959: 956: 954: 951: 949: 946: 945: 943: 941: 940:Active nuclei 937: 929: 926: 925: 924: 921: 919: 916: 914: 911: 909: 906: 904: 901: 899: 896: 894: 891: 887: 884: 883: 882: 879: 875: 872: 871: 870: 867: 865: 862: 858: 855: 854: 853: 850: 848: 845: 843: 840: 838: 835: 834: 832: 828: 820: 817: 816: 815: 812: 810: 807: 803: 800: 799: 798: 795: 791: 788: 787: 786: 783: 779: 776: 774: 771: 769: 766: 764: 761: 760: 759: 756: 752: 749: 747: 744: 742: 739: 737: 734: 732: 729: 727: 724: 722: 719: 718: 717: 714: 710: 707: 705: 702: 701: 700: 697: 695: 692: 691: 689: 687: 683: 679: 672: 667: 665: 660: 658: 653: 652: 649: 643: 639: 636: 635: 631: 622: 618: 614: 610: 606: 602: 597: 592: 588: 584: 577: 574: 571: 567: 560: 557: 552: 548: 544: 540: 536: 532: 528: 524: 519: 514: 510: 506: 499: 496: 490: 485: 480: 475: 471: 467: 466: 461: 454: 451: 446: 442: 437: 432: 428: 424: 419: 414: 410: 406: 402: 394: 391: 386: 382: 378: 374: 373: 365: 362: 356: 353: 347: 344: 338: 333: 329: 322: 320: 318: 316: 312: 305: 300: 297: 295: 292: 290: 287: 285: 282: 280: 277: 275: 272: 270: 267: 265: 262: 260: 257: 256: 251: 249: 247: 243: 239: 234: 232: 228: 224: 220: 216: 211: 209: 203: 201: 197: 193: 189: 185: 177: 175: 173: 169: 164: 162: 158: 142: 120: 116: 112: 109: 101: 97: 93: 89: 85: 77: 75: 73: 72:emission line 69: 65: 64:spiral galaxy 61: 57: 53: 49: 45: 37: 32: 19: 1449: 1437: 1172:fossil group 1094:Low activity 928:Ultramassive 758:Dwarf galaxy 741:intermediate 736:grand design 586: 582: 576: 559: 508: 504: 498: 469: 463: 453: 408: 404: 393: 376: 370: 364: 355: 346: 327: 235: 231:acceleration 212: 204: 199: 195: 192:stellar mass 181: 165: 81: 51: 47: 41: 1231:void galaxy 1194:cannibalism 1179:Interacting 1135:Interaction 1121:Blue Nugget 1111:Dark galaxy 1016:Lyman-break 908:Protogalaxy 874:Disc galaxy 640:written by 299:Freeman law 284:Dark matter 238:ellipticals 215:dark matter 1466:Categories 1271:Polar-ring 1116:Red nugget 1058:faint blue 918:Spiral arm 773:spheroidal 763:elliptical 746:Magellanic 731:flocculent 699:Lenticular 686:Morphology 479:2311.13251 418:2009.00733 411:(2): 145. 337:2310.16053 306:References 84:Ernst Öpik 60:luminosity 36:lenticular 1206:Satellite 1201:Jellyfish 1189:collision 1126:Dead disk 1043:Starburst 958:Markarian 830:Structure 797:Irregular 768:irregular 596:1107.2934 589:(2): 40. 570:1106.0505 445:1538-4357 113:π 44:astronomy 1438:Category 1327:See also 1251:Galaxies 978:X-shaped 809:Peculiar 751:unbarred 709:unbarred 678:Galaxies 621:38472632 543:10770699 252:See also 244:and the 178:Subtypes 135:, where 66:and its 38:galaxies 1298:Quasars 1266:Nearest 1261:Largest 1162:cluster 995:Seyfert 601:Bibcode 523:Bibcode 423:Bibcode 381:Bibcode 213:In the 184:optical 78:History 1450:Portal 1281:Spiral 1184:merger 963:Quasar 948:Blazar 886:corona 802:barred 778:spiral 726:barred 721:anemic 716:Spiral 704:barred 619:  551:103865 549:  541:  443:  188:K band 46:, the 1318:Voids 1243:Lists 1221:Walls 1157:group 1142:Field 1036:ELIRG 1031:HLIRG 1026:ULIRG 983:DRAGN 973:Radio 953:LINER 847:Bulge 819:Polar 617:S2CID 591:arXiv 566:arXiv 547:S2CID 513:arXiv 474:arXiv 465:MNRAS 413:arXiv 332:arXiv 157:Earth 62:of a 1276:Ring 881:Halo 869:Disc 814:Ring 694:Disc 539:PMID 441:ISSN 200:BTFR 94:and 1053:pea 842:Bar 609:doi 587:143 531:doi 509:533 484:doi 470:527 431:doi 409:902 102:by 70:or 52:TFR 42:In 1468:: 790:cD 615:. 607:. 599:. 585:. 545:. 537:. 529:. 521:. 507:. 482:. 468:. 462:. 439:. 429:. 421:. 407:. 403:. 377:54 375:. 330:. 314:^ 248:. 233:. 163:. 670:e 663:t 656:v 623:. 611:: 603:: 593:: 568:: 553:. 533:: 525:: 515:: 492:. 486:: 476:: 447:. 433:: 425:: 415:: 387:. 383:: 340:. 334:: 198:( 143:d 121:2 117:d 110:4 50:( 20:)

Index

Tully Fisher relation

lenticular
astronomy
empirical relationship
luminosity
spiral galaxy
asymptotic rotation velocity
emission line
Ernst Öpik
Andromeda Galaxy
R. Brent Tully
J. Richard Fisher
apparent brightness
Earth
long-slit spectroscopy
peculiar velocity
Hubble constant
optical
K band
stellar mass
cosmic distance ladder
dark matter
dark matter halo
Modified Newtonian dynamics (MOND)
gravitational force law
acceleration
ellipticals
Faber–Jackson relation
fundamental plane

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