1 00:00:00,090 --> 00:00:02,490 The following content is provided under a Creative 2 00:00:02,490 --> 00:00:04,030 Commons license. 3 00:00:04,030 --> 00:00:06,330 Your support will help MIT OpenCourseWare 4 00:00:06,330 --> 00:00:10,720 continue to offer high quality educational resources for free. 5 00:00:10,720 --> 00:00:13,320 To make a donation or view additional materials 6 00:00:13,320 --> 00:00:17,280 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,280 --> 00:00:18,450 at ocw.mit.edu. 8 00:00:22,230 --> 00:00:25,560 MARK HARTMAN: So what are the parameters of this system? 9 00:00:25,560 --> 00:00:28,020 If over there, the parameters for our lighthouses 10 00:00:28,020 --> 00:00:31,830 were like the number of balls and maybe the luminosity 11 00:00:31,830 --> 00:00:35,325 of the bulbs, what are our parameters for this system? 12 00:00:41,250 --> 00:00:43,850 OK, it could be the gravitational force 13 00:00:43,850 --> 00:00:47,820 that the companion star feels. 14 00:00:47,820 --> 00:00:50,976 Where does that gravitational force come from? 15 00:00:50,976 --> 00:00:52,790 AUDIENCE: The compact object. 16 00:00:52,790 --> 00:00:53,760 MARK HARTMAN: OK. 17 00:00:53,760 --> 00:00:56,280 What about the compact object allows it 18 00:00:56,280 --> 00:00:57,990 to have a gravitational force? 19 00:01:02,190 --> 00:01:04,094 AUDIENCE: That is gravitational force maker. 20 00:01:04,094 --> 00:01:05,760 MARK HARTMAN: It's a gravitational force 21 00:01:05,760 --> 00:01:08,390 maker, which we call mass. 22 00:01:08,390 --> 00:01:09,780 AUDIENCE: Yeah. 23 00:01:09,780 --> 00:01:12,260 MARK HARTMAN: Anything that has mass 24 00:01:12,260 --> 00:01:15,630 produces gravitational force, so one of the parameters 25 00:01:15,630 --> 00:01:21,550 is the mass of the compact object. 26 00:01:27,010 --> 00:01:30,440 What's another parameter of this whole system? 27 00:01:30,440 --> 00:01:32,990 And remember when we say system, we're 28 00:01:32,990 --> 00:01:36,830 just meaning a bunch of parts, maybe different things, 29 00:01:36,830 --> 00:01:39,335 that kind of work together. 30 00:01:39,335 --> 00:01:40,960 AUDIENCE: The mass of the other object. 31 00:01:40,960 --> 00:01:45,040 PROFESSOR: OK, the mass of the companion. 32 00:01:48,650 --> 00:01:49,760 All right. 33 00:01:49,760 --> 00:01:52,140 Because if the mass of the companion is different, 34 00:01:52,140 --> 00:01:54,710 we're going to have a different gravitational force that's 35 00:01:54,710 --> 00:01:56,690 pulling them, and that could change something 36 00:01:56,690 --> 00:01:59,910 about how that companion orbits. 37 00:01:59,910 --> 00:02:00,420 Chris? 38 00:02:00,420 --> 00:02:03,140 AUDIENCE: The size of the companion. 39 00:02:03,140 --> 00:02:05,090 PROFESSOR: The size of the companion, right? 40 00:02:05,090 --> 00:02:12,050 Let's think about maybe the radius of the companion. 41 00:02:14,570 --> 00:02:16,130 How big is that? 42 00:02:16,130 --> 00:02:17,550 I mean, we talked about its mass. 43 00:02:17,550 --> 00:02:20,210 We could also talk about its size. 44 00:02:20,210 --> 00:02:24,050 So I'll put down, here, radius of companion. 45 00:02:24,050 --> 00:02:24,590 What else? 46 00:02:27,850 --> 00:02:28,385 Steve? 47 00:02:28,385 --> 00:02:29,540 AUDIENCE: Luminosity. 48 00:02:29,540 --> 00:02:31,060 PROFESSOR: OK, the luminosity. 49 00:02:34,940 --> 00:02:40,239 And it could be X-ray luminosity of which one? 50 00:02:40,239 --> 00:02:42,280 AUDIENCE: Luminosity of the [? companion star. ?] 51 00:02:42,280 --> 00:02:45,520 PROFESSOR: OK, we know that only the compact object produces 52 00:02:45,520 --> 00:02:51,450 X-ray, we think. 53 00:02:51,450 --> 00:02:52,890 AUDIENCE: [INAUDIBLE] 54 00:02:52,890 --> 00:02:54,442 PROFESSOR: What else? 55 00:02:54,442 --> 00:02:56,150 We have the radius of the companion here. 56 00:02:56,150 --> 00:02:57,108 What else could we say? 57 00:02:57,108 --> 00:02:58,980 AUDIENCE: The radius of the compact object. 58 00:02:58,980 --> 00:03:00,640 PROFESSOR: Radius of companion and then 59 00:03:00,640 --> 00:03:03,070 also of a compact object. 60 00:03:06,750 --> 00:03:08,650 AUDIENCE: The linear size. 61 00:03:08,650 --> 00:03:11,088 PROFESSOR: OK, so the linear size of what? 62 00:03:11,088 --> 00:03:12,880 AUDIENCE: Of the compact object. 63 00:03:12,880 --> 00:03:17,300 PROFESSOR: OK, if we knew the radius of the compact object, 64 00:03:17,300 --> 00:03:21,230 that's kind of like saying that is the linear radius, right? 65 00:03:21,230 --> 00:03:22,250 But that's a good point. 66 00:03:22,250 --> 00:03:23,480 I mean, we could say-- 67 00:03:23,480 --> 00:03:25,010 yeah, the radius of the companion, 68 00:03:25,010 --> 00:03:28,860 the diameter of the companion, the volume of the companion. 69 00:03:28,860 --> 00:03:30,830 But if we know the radius, we can figure out 70 00:03:30,830 --> 00:03:31,850 those other ones. 71 00:03:31,850 --> 00:03:33,350 So we want to think about it as what 72 00:03:33,350 --> 00:03:36,440 are the most important parameters of this model? 73 00:03:36,440 --> 00:03:38,480 Anything else? 74 00:03:38,480 --> 00:03:39,055 [? Island? ?] 75 00:03:39,055 --> 00:03:39,888 AUDIENCE: Accretion? 76 00:03:39,888 --> 00:03:42,200 MARK HARTMAN: OK, accretion because remember 77 00:03:42,200 --> 00:03:45,300 we left this out-- 78 00:03:45,300 --> 00:03:47,170 so what about accretion? 79 00:03:47,170 --> 00:03:48,430 AUDIENCE: [INAUDIBLE] 80 00:03:48,430 --> 00:03:51,080 MARK HARTMAN: OK, so if we're talking about there's 81 00:03:51,080 --> 00:03:53,390 this accretion stream, we could maybe 82 00:03:53,390 --> 00:04:03,940 say the mass that is accreted, and that 83 00:04:03,940 --> 00:04:06,340 could be either a total amount of mass or maybe-- 84 00:04:06,340 --> 00:04:10,450 astronomers actually use the amount of mass per year 85 00:04:10,450 --> 00:04:15,010 that is transferred from one object to the other. 86 00:04:15,010 --> 00:04:22,130 So the mass that is accreted, or maybe its rate of accretion. 87 00:04:22,130 --> 00:04:24,100 As it turns out, the rate of the accretion 88 00:04:24,100 --> 00:04:28,002 is actually directly related to the luminosity of the object, 89 00:04:28,002 --> 00:04:28,960 so that's a good point. 90 00:04:28,960 --> 00:04:30,836 We left that out, so now we put that back in. 91 00:04:30,836 --> 00:04:32,501 Bianca, were you going to say something? 92 00:04:32,501 --> 00:04:33,674 AUDIENCE: Distance, maybe? 93 00:04:33,674 --> 00:04:34,840 MARK HARTMAN: What distance? 94 00:04:34,840 --> 00:04:37,500 AUDIENCE: Between the compact object and the companion star. 95 00:04:37,500 --> 00:04:39,160 MARK HARTMAN: OK, so the distance 96 00:04:39,160 --> 00:04:45,240 between the compact object and the companion star, that 97 00:04:45,240 --> 00:04:51,840 is a distance, but it's also the radius of the orbit. 98 00:04:51,840 --> 00:04:55,980 So we could say radius of the orbit. 99 00:04:59,500 --> 00:05:02,044 That's a lot of parameters. 100 00:05:02,044 --> 00:05:03,390 AUDIENCE: That's too many. 101 00:05:03,390 --> 00:05:05,460 PROFESSOR: It's too many? 102 00:05:05,460 --> 00:05:06,600 Chris is right. 103 00:05:06,600 --> 00:05:11,130 There are too many, because I can use this same drawing. 104 00:05:11,130 --> 00:05:13,060 I could change any one of those. 105 00:05:13,060 --> 00:05:16,500 I could change all of those, and the predictions 106 00:05:16,500 --> 00:05:19,710 for things that I would expect from this system 107 00:05:19,710 --> 00:05:20,580 would be different. 108 00:05:23,620 --> 00:05:25,589 We have a model for an X-ray binary star, 109 00:05:25,589 --> 00:05:27,130 but if we really wanted to figure out 110 00:05:27,130 --> 00:05:29,470 for our specific situation, we would 111 00:05:29,470 --> 00:05:32,440 have to figure out each one of these things 112 00:05:32,440 --> 00:05:35,650 to be able to specify what's really going on there. 113 00:05:35,650 --> 00:05:37,930 The X-ray binary project is going 114 00:05:37,930 --> 00:05:39,855 to go through and do this. 115 00:05:39,855 --> 00:05:41,980 You're going to either have assumptions or actually 116 00:05:41,980 --> 00:05:45,540 make predictions of what all of these are.