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:
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
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.