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Bonnor–Ebert mass

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576: 694: 637: 217: 283: 82: 414: 478: 317: 75: 338: 388: 358: 735: 678: 554: 36:
to form much smaller and denser objects. As the gravitational collapse of an interstellar gas cloud is the first stage in the formation of a
621: 759: 728: 769: 228: 774: 754: 212:{\displaystyle M_{BE}(p_{0})={225 \over {32{\sqrt {5\pi }}}}{c_{s}^{4} \over {(aG)}^{3/2}}{1 \over {\sqrt {p_{0}}}}} 764: 721: 671: 614: 29: 361: 222: 33: 664: 487: 454: 607: 393: 575: 546: 296: 550: 644: 538: 495: 53: 323: 367: 491: 458: 364:
which varies based on the density distribution of the cloud. For a uniform mass density
705: 648: 591: 520: 343: 41: 32:. Clouds of gas with masses greater than the Bonnor–Ebert mass must inevitably undergo 748: 539: 701: 48: 17: 587: 583: 289: 500: 473: 425: 286: 28:
gas sphere embedded in a pressurized medium can have while still remaining in
25: 37: 693: 636: 545:. Oxfordshire United Kingdom: Princeton University Press. p.  40:, the Bonnor–Ebert mass is an important quantity in the study of 445:
Ebert, Rolf (1955). "Über die Verdichtung von H I-Gebieten".
709: 652: 595: 396: 370: 346: 326: 299: 231: 85: 56: 541:
Physics of the Interstellar and Intergalactic Medium
278:{\displaystyle c_{s}\equiv {\sqrt {kT/{\mu m_{H}}}}} 408: 382: 352: 332: 311: 277: 211: 69: 479:Monthly Notices of the Royal Astronomical Society 729: 672: 615: 515:Carroll, Bradley W.; Ostlie, Dale A. (2007). 8: 47:For a gas cloud embedded in a medium with a 474:"Boyle's Law and gravitational instability" 736: 722: 679: 665: 622: 608: 499: 395: 369: 345: 325: 298: 266: 258: 253: 245: 236: 230: 199: 193: 188: 176: 172: 158: 151: 146: 140: 127: 123: 118: 106: 90: 84: 61: 55: 532: 530: 437: 517:An Introduction to Modern Astrophysics 7: 690: 688: 633: 631: 572: 570: 77:, the Bonnor–Ebert mass is given by 390:and for a centrally peaked density 14: 692: 635: 574: 472:Bonnor, William Bowen (1956). 168: 159: 112: 99: 1: 409:{\displaystyle a\approx 1.67} 708:. You can help Knowledge by 651:. You can help Knowledge by 594:. You can help Knowledge by 24:is the largest mass that an 447:Zeitschrift für Astrophysik 791: 687: 630: 569: 312:{\displaystyle \gamma =1} 501:10.1093/mnras/116.3.351 340:as the molecular mass. 30:hydrostatic equilibrium 760:Equations of astronomy 704:-related article is a 647:–related article is a 590:-related article is a 537:Draine, Bruce (2011). 410: 384: 362:dimensionless constant 354: 334: 313: 279: 223:gravitational constant 213: 71: 34:gravitational collapse 411: 385: 355: 335: 314: 280: 214: 72: 70:{\displaystyle p_{0}} 770:Plasma physics stubs 394: 368: 344: 333:{\displaystyle \mu } 324: 297: 229: 83: 54: 523:. pp. 413–414. 492:1956MNRAS.116..351B 459:1955ZA.....37..217E 383:{\displaystyle a=1} 156: 775:Astrophysics stubs 755:Interstellar media 406: 380: 350: 330: 309: 275: 209: 142: 67: 765:Outer space stubs 717: 716: 660: 659: 603: 602: 556:978-0-691-12214-4 353:{\displaystyle a} 273: 207: 205: 186: 138: 135: 22:Bonnor–Ebert mass 782: 738: 731: 724: 696: 689: 681: 674: 667: 639: 632: 624: 617: 610: 578: 571: 561: 560: 544: 534: 525: 524: 512: 506: 505: 503: 469: 463: 462: 442: 415: 413: 412: 407: 389: 387: 386: 381: 359: 357: 356: 351: 339: 337: 336: 331: 318: 316: 315: 310: 284: 282: 281: 276: 274: 272: 271: 270: 257: 246: 241: 240: 218: 216: 215: 210: 208: 206: 204: 203: 194: 189: 187: 185: 184: 180: 171: 155: 150: 141: 139: 137: 136: 128: 119: 111: 110: 98: 97: 76: 74: 73: 68: 66: 65: 790: 789: 785: 784: 783: 781: 780: 779: 745: 744: 743: 742: 686: 685: 629: 628: 567: 565: 564: 557: 536: 535: 528: 514: 513: 509: 471: 470: 466: 444: 443: 439: 434: 422: 392: 391: 366: 365: 342: 341: 322: 321: 319: 295: 294: 262: 232: 227: 226: 221:where G is the 195: 157: 102: 86: 81: 80: 57: 52: 51: 12: 11: 5: 788: 786: 778: 777: 772: 767: 762: 757: 747: 746: 741: 740: 733: 726: 718: 715: 714: 697: 684: 683: 676: 669: 661: 658: 657: 645:plasma physics 640: 627: 626: 619: 612: 604: 601: 600: 579: 563: 562: 555: 526: 521:Addison-Wesley 507: 486:(3): 351–359. 464: 436: 435: 433: 430: 429: 428: 421: 418: 405: 402: 399: 379: 376: 373: 349: 329: 308: 305: 302: 293: 269: 265: 261: 256: 252: 249: 244: 239: 235: 202: 198: 192: 183: 179: 175: 170: 167: 164: 161: 154: 149: 145: 134: 131: 126: 122: 117: 114: 109: 105: 101: 96: 93: 89: 64: 60: 42:star formation 13: 10: 9: 6: 4: 3: 2: 787: 776: 773: 771: 768: 766: 763: 761: 758: 756: 753: 752: 750: 739: 734: 732: 727: 725: 720: 719: 713: 711: 707: 703: 698: 695: 691: 682: 677: 675: 670: 668: 663: 662: 656: 654: 650: 646: 641: 638: 634: 625: 620: 618: 613: 611: 606: 605: 599: 597: 593: 589: 585: 580: 577: 573: 568: 558: 552: 548: 543: 542: 533: 531: 527: 522: 518: 511: 508: 502: 497: 493: 489: 485: 481: 480: 475: 468: 465: 460: 456: 452: 448: 441: 438: 431: 427: 424: 423: 419: 417: 403: 400: 397: 377: 374: 371: 363: 347: 327: 306: 303: 300: 291: 288: 267: 263: 259: 254: 250: 247: 242: 237: 233: 224: 219: 200: 196: 190: 181: 177: 173: 165: 162: 152: 147: 143: 132: 129: 124: 120: 115: 107: 103: 94: 91: 87: 78: 62: 58: 50: 45: 43: 39: 35: 31: 27: 23: 19: 710:expanding it 702:astrophysics 699: 653:expanding it 642: 596:expanding it 581: 566: 540: 516: 510: 483: 477: 467: 450: 446: 440: 220: 79: 49:gas pressure 46: 21: 18:astrophysics 15: 588:spaceflight 290:sound speed 287:isothermal 749:Categories 432:References 426:Jeans mass 26:isothermal 401:≈ 328:μ 301:γ 260:μ 243:≡ 133:π 38:protostar 420:See also 488:Bibcode 455:Bibcode 453:: 217. 320:) with 285:is the 553:  20:, the 700:This 643:This 586:- or 584:space 582:This 360:is a 706:stub 649:stub 592:stub 551:ISBN 404:1.67 225:and 547:457 496:doi 484:116 121:225 16:In 751:: 549:. 529:^ 519:. 494:. 482:. 476:. 451:37 449:. 416:. 125:32 44:. 737:e 730:t 723:v 712:. 680:e 673:t 666:v 655:. 623:e 616:t 609:v 598:. 559:. 504:. 498:: 490:: 461:. 457:: 398:a 378:1 375:= 372:a 348:a 307:1 304:= 292:( 268:H 264:m 255:/ 251:T 248:k 238:s 234:c 201:0 197:p 191:1 182:2 178:/ 174:3 169:) 166:G 163:a 160:( 153:4 148:s 144:c 130:5 116:= 113:) 108:0 104:p 100:( 95:E 92:B 88:M 63:0 59:p

Index

astrophysics
isothermal
hydrostatic equilibrium
gravitational collapse
protostar
star formation
gas pressure
gravitational constant
isothermal
sound speed
dimensionless constant
Jeans mass
Bibcode
1955ZA.....37..217E
"Boyle's Law and gravitational instability"
Monthly Notices of the Royal Astronomical Society
Bibcode
1956MNRAS.116..351B
doi
10.1093/mnras/116.3.351
Addison-Wesley


Physics of the Interstellar and Intergalactic Medium
457
ISBN
978-0-691-12214-4
Stub icon
space
spaceflight

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