1 00:00:00,060 --> 00:00:02,430 The following content is provided under a Creative 2 00:00:02,430 --> 00:00:03,820 Commons license. 3 00:00:03,820 --> 00:00:06,030 Your support will help MIT OpenCourseWare 4 00:00:06,030 --> 00:00:10,120 continue to offer high-quality educational resources for free. 5 00:00:10,120 --> 00:00:12,660 To make a donation or to view additional materials 6 00:00:12,660 --> 00:00:16,620 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:16,620 --> 00:00:17,926 at ocw.mit.edu. 8 00:00:22,220 --> 00:00:25,520 MARK HARTMAN: If there were no compact object over there, 9 00:00:25,520 --> 00:00:28,760 nothing that produced a gravitational force, 10 00:00:28,760 --> 00:00:32,299 this companion star, if it was just going this direction, 11 00:00:32,299 --> 00:00:37,581 it would continue to just go up. 12 00:00:37,581 --> 00:00:39,830 If there was nothing over there and this star was just 13 00:00:39,830 --> 00:00:42,630 moving through space, it would go in a straight line. 14 00:00:45,530 --> 00:00:48,306 So let's say this is the compact object. 15 00:00:48,306 --> 00:00:49,430 This is the companion star. 16 00:00:49,430 --> 00:00:51,320 We're going to talk about how do they move. 17 00:00:55,580 --> 00:01:04,010 So if there was no compact object, 18 00:01:04,010 --> 00:01:06,270 the star would move in a straight line. 19 00:01:06,270 --> 00:01:07,850 If anybody's taken physics before 20 00:01:07,850 --> 00:01:14,000 and has talked about Newton's laws of motion, 21 00:01:14,000 --> 00:01:16,950 an object in motion tends to stay in motion. 22 00:01:16,950 --> 00:01:19,250 So if there is no other outside force that's 23 00:01:19,250 --> 00:01:20,990 acting on this object, it's just going 24 00:01:20,990 --> 00:01:23,570 to travel in a straight line. 25 00:01:23,570 --> 00:01:26,660 So if no compact object, we're going to say, 26 00:01:26,660 --> 00:01:37,880 the companion star moves in a straight line. 27 00:01:41,510 --> 00:01:46,330 So it would look like this. 28 00:01:46,330 --> 00:01:54,720 This would be the velocity if there was no compact object. 29 00:01:54,720 --> 00:01:56,910 It would just move in a straight line. 30 00:01:56,910 --> 00:02:02,460 But if there is a compact object, 31 00:02:02,460 --> 00:02:21,170 if there is a compact object, then gravitational force 32 00:02:21,170 --> 00:02:22,670 pulls the two together. 33 00:02:31,890 --> 00:02:35,740 So what would that change about this object's motion? 34 00:02:35,740 --> 00:02:37,007 Steve, you had a question. 35 00:02:37,007 --> 00:02:42,392 AUDIENCE: Yes, I [INAUDIBLE] the compact object, 36 00:02:42,392 --> 00:02:45,804 like includuing the [INAUDIBLE]. 37 00:02:45,804 --> 00:02:47,220 MARK HARTMAN: So that's what we're 38 00:02:47,220 --> 00:02:48,650 going to talk about right now. 39 00:02:48,650 --> 00:02:52,570 So if there is a compact object, the gravitational force 40 00:02:52,570 --> 00:02:54,010 pulls the two together. 41 00:02:54,010 --> 00:02:59,140 So what that means is this object feels a force. 42 00:02:59,140 --> 00:03:07,680 So we're going to say this is gravitational force. 43 00:03:07,680 --> 00:03:12,276 If it's moving upwards but then it feels a force this way, 44 00:03:12,276 --> 00:03:14,150 which direction is it going to start to move? 45 00:03:17,120 --> 00:03:19,610 It goes up a little bit, but then it gets pulled that way. 46 00:03:19,610 --> 00:03:22,280 So it kind of gets pulled over a little bit. 47 00:03:22,280 --> 00:03:25,430 But now, we know that the gravitational force always 48 00:03:25,430 --> 00:03:27,690 acts to pull things together. 49 00:03:27,690 --> 00:03:31,790 So if we up here, now the force is going to pull us this way. 50 00:03:31,790 --> 00:03:34,070 So then we turn a little bit more and we move forward. 51 00:03:34,070 --> 00:03:36,140 Up here, the force on this object 52 00:03:36,140 --> 00:03:39,680 is now going to be pulling down a little bit. 53 00:03:39,680 --> 00:03:42,470 So we're going to turn a little bit more and keep going. 54 00:03:42,470 --> 00:03:44,690 So this gravitational force that's 55 00:03:44,690 --> 00:03:47,360 always pulling these two together 56 00:03:47,360 --> 00:03:55,730 ends up curving the path of this object around the other object. 57 00:03:55,730 --> 00:03:58,070 That's the simple, nice, easy explanation 58 00:03:58,070 --> 00:04:02,580 of why is it that gravity causes one thing to orbit around 59 00:04:02,580 --> 00:04:03,710 another thing. 60 00:04:03,710 --> 00:04:05,960 It kind of takes this straight-line path, 61 00:04:05,960 --> 00:04:08,810 and it pulls it, and it pulls that straight-line path 62 00:04:08,810 --> 00:04:12,991 to always be around the compact object. 63 00:04:12,991 --> 00:04:13,490 Steve. 64 00:04:13,490 --> 00:04:18,825 AUDIENCE: What was the [INAUDIBLE] the other star 65 00:04:18,825 --> 00:04:21,800 goes directly to the [INAUDIBLE] 66 00:04:21,800 --> 00:04:24,020 MARK HARTMAN: So there are no planets on the board. 67 00:04:24,020 --> 00:04:27,800 We just have our companion star, and we have our compact object, 68 00:04:27,800 --> 00:04:31,430 which is still a collapsed neutron star, a black hole. 69 00:04:31,430 --> 00:04:32,870 This is the simple picture. 70 00:04:32,870 --> 00:04:36,962 So I'm just going to say, if there is-- whoops. 71 00:04:36,962 --> 00:04:39,800 If there is a compact object, gravitational force 72 00:04:39,800 --> 00:04:42,490 pulls the two together. 73 00:04:42,490 --> 00:04:52,152 The companion orbits the compact object. 74 00:04:52,152 --> 00:04:54,610 I'm going to deal with your question in just a second here, 75 00:04:54,610 --> 00:05:00,010 Steve-- compact object. 76 00:05:00,010 --> 00:05:02,590 When we say orbit, we just mean travel in a circle around. 77 00:05:05,260 --> 00:05:06,790 This is the simple version. 78 00:05:11,510 --> 00:05:13,440 This is what we're going to stick with. 79 00:05:13,440 --> 00:05:16,060 And in fact, whoever does the X-ray binary project 80 00:05:16,060 --> 00:05:17,560 is going to learn a little bit more 81 00:05:17,560 --> 00:05:22,580 about how can you actually calculate things about forces. 82 00:05:22,580 --> 00:05:25,075 But, in reality, these two objects, 83 00:05:25,075 --> 00:05:26,950 it's not that this one's just getting pulled. 84 00:05:26,950 --> 00:05:30,020 This one is getting pulled too. 85 00:05:30,020 --> 00:05:33,530 So gravity always acts to pull two things together. 86 00:05:33,530 --> 00:05:37,310 So the actual motion is a little bit more complicated. 87 00:05:37,310 --> 00:05:40,827 And I think on the very first resource 88 00:05:40,827 --> 00:05:42,910 that you'll find on the [? expert ?] project wiki, 89 00:05:42,910 --> 00:05:45,130 there's a little picture. 90 00:05:45,130 --> 00:05:46,810 Actually, [? Pierre, ?] would you 91 00:05:46,810 --> 00:05:49,450 mind pulling up the picture of the binary orbit? 92 00:05:49,450 --> 00:05:52,654 It's in the very first resource on the second page 93 00:05:52,654 --> 00:05:54,820 for the [? expert ?] project under X-ray binary star 94 00:05:54,820 --> 00:05:55,320 systems. 95 00:06:00,590 --> 00:06:02,450 Because in reality, they both kind of 96 00:06:02,450 --> 00:06:03,980 pull each other together. 97 00:06:03,980 --> 00:06:06,600 So they really orbit around each other. 98 00:06:06,600 --> 00:06:09,360 It's not that one is fixed at the middle. 99 00:06:09,360 --> 00:06:09,860 Let's see. 100 00:06:09,860 --> 00:06:11,840 Under that one, yeah. 101 00:06:11,840 --> 00:06:13,040 Let's take a look here. 102 00:06:13,040 --> 00:06:13,790 Go to page two. 103 00:06:17,090 --> 00:06:21,047 So if you look here, our simple model 104 00:06:21,047 --> 00:06:22,630 was there was one thing at the middle, 105 00:06:22,630 --> 00:06:24,421 and the other was going around the outside. 106 00:06:24,421 --> 00:06:26,530 Ooh, there we go. 107 00:06:26,530 --> 00:06:29,770 But in this case, it's that each of these objects 108 00:06:29,770 --> 00:06:31,150 pull on each other. 109 00:06:31,150 --> 00:06:34,660 So they're kind of orbiting around each other. 110 00:06:34,660 --> 00:06:36,160 It's a little bit more complicated, 111 00:06:36,160 --> 00:06:38,320 but you can see that this object still 112 00:06:38,320 --> 00:06:40,315 goes in a circle, or something close. 113 00:06:40,315 --> 00:06:43,390 It could be an ellipse, kind of an elongated oval. 114 00:06:43,390 --> 00:06:46,840 And this one also goes in a circle. 115 00:06:46,840 --> 00:06:50,350 It just depends on how massive each one of those is. 116 00:06:50,350 --> 00:06:52,730 If you've got a very massive object in the middle, 117 00:06:52,730 --> 00:06:55,780 it's not going to move around a lot as the other one moves 118 00:06:55,780 --> 00:06:56,770 around. 119 00:06:56,770 --> 00:06:58,690 If you have objects that have the same mass, 120 00:06:58,690 --> 00:07:01,984 they're actually going to both move a lot. 121 00:07:01,984 --> 00:07:03,400 But the simple picture and the one 122 00:07:03,400 --> 00:07:07,270 that we're going to keep in mind is this one over here. 123 00:07:07,270 --> 00:07:10,210 We're going to assume that our compact object is 124 00:07:10,210 --> 00:07:14,440 nice and heavy, has a lot of mass. 125 00:07:14,440 --> 00:07:16,600 And then this star is going to be the one that 126 00:07:16,600 --> 00:07:18,132 actually goes around it. 127 00:07:18,132 --> 00:07:19,840 It's going to make it a little bit easier 128 00:07:19,840 --> 00:07:21,070 for us to think about. 129 00:07:21,070 --> 00:07:24,580 This also helps us to think about accretion, right, 130 00:07:24,580 --> 00:07:26,890 because we said accretion is when mass is transferred 131 00:07:26,890 --> 00:07:29,960 from one object to another. 132 00:07:29,960 --> 00:07:34,810 Well, if this star is over here the, outer layers of this star 133 00:07:34,810 --> 00:07:39,020 are held together by the gravity of that object. 134 00:07:39,020 --> 00:07:43,960 If this star gets close to the compact object, 135 00:07:43,960 --> 00:07:46,450 the gravitational force between two objects 136 00:07:46,450 --> 00:07:48,550 depends on how close they are. 137 00:07:48,550 --> 00:07:50,540 If you have a big object and a big object, 138 00:07:50,540 --> 00:07:52,630 there's going to be lots of force. 139 00:07:52,630 --> 00:07:55,150 If you have a big object and a big object 140 00:07:55,150 --> 00:07:57,604 and a small distance, what do you 141 00:07:57,604 --> 00:07:59,770 think is going to happen to the amount of force that 142 00:07:59,770 --> 00:08:04,440 pulls them together if you bring two things close? 143 00:08:04,440 --> 00:08:06,790 AUDIENCE: They're going to combine. 144 00:08:06,790 --> 00:08:09,110 MARK HARTMAN: OK. 145 00:08:09,110 --> 00:08:12,120 If you bring two things really close together, 146 00:08:12,120 --> 00:08:13,850 the force actually gets stronger. 147 00:08:13,850 --> 00:08:16,290 If you've ever done kind of a similar thing with magnets-- 148 00:08:16,290 --> 00:08:18,226 if you take magnets and they're far apart, 149 00:08:18,226 --> 00:08:20,100 it's kind of easy to pull them further apart. 150 00:08:20,100 --> 00:08:23,000 But as you get them closer and closer together, 151 00:08:23,000 --> 00:08:26,360 you have to hold them back harder and harder and harder 152 00:08:26,360 --> 00:08:28,740 because the magnetic force between the two 153 00:08:28,740 --> 00:08:31,115 gets stronger and stronger as your distance gets smaller. 154 00:08:33,890 --> 00:08:38,150 We can actually write, and some of you may have seen-- 155 00:08:38,150 --> 00:08:40,669 the expression or the equation for how much 156 00:08:40,669 --> 00:08:44,000 force this gets pulled together with 157 00:08:44,000 --> 00:08:48,920 is going to be the force is equal to this number g, which 158 00:08:48,920 --> 00:08:54,530 is a constant, times the mass of one object-- 159 00:08:54,530 --> 00:08:58,670 this is going to be the mass of the other object-- 160 00:08:58,670 --> 00:09:01,709 divided by the distance between them squared. 161 00:09:01,709 --> 00:09:02,750 And this is the distance. 162 00:09:07,230 --> 00:09:09,800 So that means if one of these objects gets bigger, 163 00:09:09,800 --> 00:09:11,150 the force gets bigger. 164 00:09:11,150 --> 00:09:14,150 If the other object gets bigger, the force gets bigger. 165 00:09:14,150 --> 00:09:18,380 If the distance between them gets smaller, 166 00:09:18,380 --> 00:09:19,800 this number gets smaller. 167 00:09:19,800 --> 00:09:22,670 So if you take something divided by a smaller number, 168 00:09:22,670 --> 00:09:24,590 you get a bigger number. 169 00:09:24,590 --> 00:09:25,980 That makes sense. 170 00:09:25,980 --> 00:09:29,970 And in fact, let's look at what [? Island ?] wrote over here. 171 00:09:29,970 --> 00:09:33,080 She said, "the faster the orbital speeds, 172 00:09:33,080 --> 00:09:35,180 the stronger the gravitational force 173 00:09:35,180 --> 00:09:40,750 gets, which enables gas and stars to be held in the orbit." 174 00:09:40,750 --> 00:09:42,600 Let's think about that. 175 00:09:42,600 --> 00:09:47,300 If we were orbiting out here, we could go slow, 176 00:09:47,300 --> 00:09:51,240 and the force would be enough to hold us together. 177 00:09:51,240 --> 00:09:55,580 But if we were in here, orbits happen faster when 178 00:09:55,580 --> 00:09:58,800 you're closer to the object. 179 00:09:58,800 --> 00:10:01,340 And if you have a faster orbital speed-- 180 00:10:01,340 --> 00:10:04,820 there's actually a subtle detail here that isn't quite right. 181 00:10:04,820 --> 00:10:07,580 It's not that the faster you go, the stronger 182 00:10:07,580 --> 00:10:10,310 the gravitational force gets. 183 00:10:10,310 --> 00:10:12,710 It's the faster you go, the stronger 184 00:10:12,710 --> 00:10:19,490 the gravitational force you need to enable the gas 185 00:10:19,490 --> 00:10:22,910 and stars to be held in their orbit. 186 00:10:22,910 --> 00:10:24,650 So remember, if we look at this equation, 187 00:10:24,650 --> 00:10:27,560 force has nothing to do with how fast it's going. 188 00:10:27,560 --> 00:10:30,300 It just has to do with how far away it is. 189 00:10:30,300 --> 00:10:32,690 And if the object's really close, 190 00:10:32,690 --> 00:10:35,330 that force is going to be really strong. 191 00:10:35,330 --> 00:10:39,350 So you can go really fast and not fly away. 192 00:10:39,350 --> 00:10:41,690 So we don't really need to know all of these details. 193 00:10:41,690 --> 00:10:44,160 But if you're interested in exactly how this works, 194 00:10:44,160 --> 00:10:47,600 this is what you'll work on with the X-ray binary project. 195 00:10:47,600 --> 00:10:50,120 For right now, though, what I want you to think about 196 00:10:50,120 --> 00:10:52,040 is we've got our compact object at the center. 197 00:10:52,040 --> 00:10:55,090 We have our companion star going around the outside. 198 00:10:55,090 --> 00:11:01,220 And a simple way to think about, well, OK, what does all this 199 00:11:01,220 --> 00:11:02,930 have to do with flux-- 200 00:11:02,930 --> 00:11:05,890 what does all this have to do with the brightness-- 201 00:11:05,890 --> 00:11:13,315 we are going to look at both the X-ray luminosity, 202 00:11:13,315 --> 00:11:19,670 and we're going to look at the visible light luminosity. 203 00:11:23,130 --> 00:11:26,190 What do we mean when we say X-ray luminosity and visible 204 00:11:26,190 --> 00:11:27,708 light luminosity? 205 00:11:31,920 --> 00:11:34,160 What do you think? 206 00:11:34,160 --> 00:11:35,090 What is luminosity? 207 00:11:35,090 --> 00:11:36,890 Steve. 208 00:11:36,890 --> 00:11:39,830 AUDIENCE: When you talk about X-ray luminosity, 209 00:11:39,830 --> 00:11:42,770 you mean the X-ray-- like, an object that 210 00:11:42,770 --> 00:11:48,160 produces X-ray [INAUDIBLE] flux of the object, and then 211 00:11:48,160 --> 00:11:50,915 [INAUDIBLE] flux of the X-ray [INAUDIBLE].. 212 00:11:50,915 --> 00:11:57,947 And then visible light, you mean the [INAUDIBLE] flux 213 00:11:57,947 --> 00:11:59,650 of the object. 214 00:11:59,650 --> 00:12:00,520 MARK HARTMAN: OK. 215 00:12:00,520 --> 00:12:01,260 [? Ezeke, ?] you want to-- 216 00:12:01,260 --> 00:12:02,160 AUDIENCE: So luminosity-- 217 00:12:02,160 --> 00:12:03,326 MARK HARTMAN: Nice and loud. 218 00:12:03,326 --> 00:12:06,150 AUDIENCE: Luminosity is the light given by the source. 219 00:12:06,150 --> 00:12:08,180 Flux is what we receive. 220 00:12:08,180 --> 00:12:11,130 MARK HARTMAN: OK, luminosity is the light given by the source. 221 00:12:11,130 --> 00:12:13,100 So if I say X-ray luminosity-- 222 00:12:13,100 --> 00:12:16,394 AUDIENCE: It's [INAUDIBLE] that's given off by the source. 223 00:12:16,394 --> 00:12:17,810 MARK HARTMAN: How much energy does 224 00:12:17,810 --> 00:12:21,860 that object put out as X-ray light, 225 00:12:21,860 --> 00:12:26,000 versus visible light luminosity, how much light does that object 226 00:12:26,000 --> 00:12:28,737 put out invisible light photons. 227 00:12:28,737 --> 00:12:30,320 Because remember, our detector is only 228 00:12:30,320 --> 00:12:31,700 sensitive to one or the other. 229 00:12:31,700 --> 00:12:33,970 It's not both. 230 00:12:33,970 --> 00:12:36,650 So what we have here-- 231 00:12:36,650 --> 00:12:41,840 the X-ray luminosity for our compact object, 232 00:12:41,840 --> 00:12:46,642 which one of these objects is going to produce more X-rays? 233 00:12:46,642 --> 00:12:48,016 AUDIENCE: The bigger one. 234 00:12:48,016 --> 00:12:49,390 AUDIENCE: The compact. 235 00:12:49,390 --> 00:12:50,580 MARK HARTMAN: The what? 236 00:12:50,580 --> 00:12:53,160 AUDIENCE: I said the one in the middle, the compact. 237 00:12:53,160 --> 00:12:54,826 MARK HARTMAN: OK, you're saying compact. 238 00:12:54,826 --> 00:12:56,314 You're saying the bigger one. 239 00:12:56,314 --> 00:12:58,612 AUDIENCE: [INAUDIBLE] 240 00:12:58,612 --> 00:12:59,320 MARK HARTMAN: OK. 241 00:12:59,320 --> 00:13:00,670 So be careful when you say bigger. 242 00:13:00,670 --> 00:13:01,670 Do you mean bigger mass? 243 00:13:01,670 --> 00:13:03,740 Do you mean bigger in size? 244 00:13:03,740 --> 00:13:04,840 What do you mean? 245 00:13:04,840 --> 00:13:09,700 So this compact object, the neutron star or the black hole, 246 00:13:09,700 --> 00:13:12,670 the X-ray luminosity is high. 247 00:13:12,670 --> 00:13:16,010 It's putting out lots of light in X-rays. 248 00:13:16,010 --> 00:13:17,025 Why? 249 00:13:17,025 --> 00:13:18,400 And again, this is where you guys 250 00:13:18,400 --> 00:13:19,691 should write these things down. 251 00:13:19,691 --> 00:13:22,360 Over here on this board that [? Shekeeb ?] is currently 252 00:13:22,360 --> 00:13:23,680 taking pictures of-- 253 00:13:23,680 --> 00:13:24,990 no, go ahead. 254 00:13:24,990 --> 00:13:26,669 In the bottom, it says-- 255 00:13:26,669 --> 00:13:28,210 and this one also got a lot of stars, 256 00:13:28,210 --> 00:13:29,626 so you should write this down too. 257 00:13:29,626 --> 00:13:35,260 The heat of accretion produces X-rays. 258 00:13:35,260 --> 00:13:40,090 From this star, we have material that's 259 00:13:40,090 --> 00:13:42,130 kind of being pulled off. 260 00:13:45,330 --> 00:13:47,990 Sorry, this diagram's getting a little bit messy. 261 00:13:47,990 --> 00:13:52,250 But you've got material that's being pulled off 262 00:13:52,250 --> 00:14:01,320 here and formed into an accretion disk, which 263 00:14:01,320 --> 00:14:05,730 is the thing that's swirling around that compact object. 264 00:14:05,730 --> 00:14:12,770 If you look in your pictures, here again, 265 00:14:12,770 --> 00:14:14,480 we have this swirling stuff that's 266 00:14:14,480 --> 00:14:17,190 swirling around the compact object. 267 00:14:17,190 --> 00:14:21,140 So the accretion disk gives off X-rays 268 00:14:21,140 --> 00:14:22,595 because it's very, very hot. 269 00:14:25,730 --> 00:14:28,520 It's because all of that gas, as it's swirling around 270 00:14:28,520 --> 00:14:32,390 in the accretion disk, is rubbing against each other. 271 00:14:32,390 --> 00:14:34,760 The inner parts of the gas orbit fast. 272 00:14:34,760 --> 00:14:37,670 The outer parts orbit slower, and so they rub past 273 00:14:37,670 --> 00:14:38,436 each other. 274 00:14:38,436 --> 00:14:40,310 And since they're spinning around and rubbing 275 00:14:40,310 --> 00:14:45,350 past each other so hard, it heats things up. 276 00:14:45,350 --> 00:14:53,720 So our accretion disk gives off lots of X-ray luminosity 277 00:14:53,720 --> 00:14:57,080 because the heat of accretion produces X-rays. 278 00:14:57,080 --> 00:15:01,310 If this was less hot, it wouldn't give off X-rays. 279 00:15:01,310 --> 00:15:02,810 What kind of a spectrum do you think 280 00:15:02,810 --> 00:15:05,555 we should try to fit if we were looking at an accretion disk? 281 00:15:09,330 --> 00:15:09,830 Any ideas? 282 00:15:13,480 --> 00:15:15,990 If something is giving off light because it's hot-- 283 00:15:21,834 --> 00:15:23,790 AUDIENCE: A black body? 284 00:15:23,790 --> 00:15:26,920 MARK HARTMAN: So Chris says is a black body. 285 00:15:26,920 --> 00:15:29,680 If this accretion disk is thick, which 286 00:15:29,680 --> 00:15:32,380 means that you can't see through it, 287 00:15:32,380 --> 00:15:36,135 then it would give off a black-body spectrum. 288 00:15:36,135 --> 00:15:37,510 So try and make those connections 289 00:15:37,510 --> 00:15:38,885 back and forth through the things 290 00:15:38,885 --> 00:15:40,090 that we looked at before. 291 00:15:40,090 --> 00:15:41,070 Let's finish filling in this table, 292 00:15:41,070 --> 00:15:42,236 and then we'll take a break. 293 00:15:42,236 --> 00:15:44,830 So we've got the compact object, neutron star/black hole, 294 00:15:44,830 --> 00:15:47,010 has high X-ray luminosity. 295 00:15:47,010 --> 00:15:50,510 Would something that is this hot give off lots of visible light? 296 00:15:55,300 --> 00:15:56,258 AUDIENCE: Kind of. 297 00:15:56,258 --> 00:15:57,220 Sort of. 298 00:15:57,220 --> 00:15:58,136 MARK HARTMAN: Kind of? 299 00:15:58,136 --> 00:15:59,410 Sort of? 300 00:15:59,410 --> 00:16:02,110 We're going to say, for these compact objects, 301 00:16:02,110 --> 00:16:06,360 most of the light comes out as X-ray luminosity. 302 00:16:06,360 --> 00:16:07,269 AUDIENCE: Most. 303 00:16:07,269 --> 00:16:08,060 MARK HARTMAN: Most. 304 00:16:08,060 --> 00:16:10,630 So we're going to say the visible light luminosity 305 00:16:10,630 --> 00:16:11,530 is low. 306 00:16:11,530 --> 00:16:13,750 Over here, for the companion star, 307 00:16:13,750 --> 00:16:16,120 if this is just a regular star, it's 308 00:16:16,120 --> 00:16:18,310 not hot enough to produce X-rays. 309 00:16:18,310 --> 00:16:21,980 We saw that regular stars produce mostly visible light. 310 00:16:21,980 --> 00:16:25,000 So the X-ray luminosity here is going 311 00:16:25,000 --> 00:16:27,280 to be low for our companion star. 312 00:16:27,280 --> 00:16:29,050 So I want everybody to put that in. 313 00:16:29,050 --> 00:16:34,300 And then the visible light, it's going to give off 314 00:16:34,300 --> 00:16:35,590 a higher luminosity. 315 00:16:35,590 --> 00:16:39,190 We'll expect to see this star in visible light, 316 00:16:39,190 --> 00:16:43,550 but not in X-ray light. 317 00:16:43,550 --> 00:16:45,850 So let's take a look at this. 318 00:16:45,850 --> 00:16:46,900 We are going to-- 319 00:16:49,630 --> 00:16:50,380 here's an example. 320 00:16:53,190 --> 00:16:56,170 Here, I'm going to say this is my compact object, 321 00:16:56,170 --> 00:16:57,965 my X-ray-emitting object. 322 00:16:57,965 --> 00:16:59,840 Because we still never answered the question, 323 00:16:59,840 --> 00:17:01,779 what does this have to do with flux? 324 00:17:01,779 --> 00:17:03,820 Most of you guys already have this model up here, 325 00:17:03,820 --> 00:17:05,750 so I hope this makes sense. 326 00:17:05,750 --> 00:17:08,260 If we had a low-mass X-ray binary 327 00:17:08,260 --> 00:17:11,140 system which has a neutron star, we're 328 00:17:11,140 --> 00:17:14,859 going to say that this light coming out is X-ray light. 329 00:17:14,859 --> 00:17:17,410 So this is our compact object, which 330 00:17:17,410 --> 00:17:18,790 has a high X-ray luminosity. 331 00:17:18,790 --> 00:17:20,640 AUDIENCE: [INAUDIBLE] 332 00:17:20,640 --> 00:17:21,700 MARK HARTMAN: Yeah. 333 00:17:21,700 --> 00:17:25,260 And then this is our companion star. 334 00:17:25,260 --> 00:17:26,950 Now, in this case, if you look, it 335 00:17:26,950 --> 00:17:30,310 says this could be a white dwarf star. 336 00:17:30,310 --> 00:17:36,960 If I have my white dwarf star and I orbit around this star-- 337 00:17:36,960 --> 00:17:38,820 let me put this down at your eye level. 338 00:17:38,820 --> 00:17:41,640 I want you to tell me what happens to the flux 339 00:17:41,640 --> 00:17:46,590 that your eye receives from this X-ray object 340 00:17:46,590 --> 00:17:48,345 if I make this go around in a circle. 341 00:17:54,930 --> 00:17:57,150 So it might help if you close one eye. 342 00:18:03,066 --> 00:18:05,531 AUDIENCE: [LAUGHS] 343 00:18:06,517 --> 00:18:07,781 [INAUDIBLE] 344 00:18:07,781 --> 00:18:08,489 MARK HARTMAN: OK. 345 00:18:11,470 --> 00:18:16,140 Now if instead of that, I had a massive X-ray binary, 346 00:18:16,140 --> 00:18:18,190 I have a bigger star here. 347 00:18:18,190 --> 00:18:20,230 It's still orbiting around. 348 00:18:20,230 --> 00:18:24,250 But now, this is a slightly bigger size. 349 00:18:24,250 --> 00:18:27,640 If I put this one and I move it around, again, 350 00:18:27,640 --> 00:18:29,545 what happens to the flux that you receive? 351 00:18:32,560 --> 00:18:34,080 What happens? 352 00:18:34,080 --> 00:18:36,310 Somebody describe it. 353 00:18:36,310 --> 00:18:37,472 [INAUDIBLE] 354 00:18:37,472 --> 00:18:40,410 AUDIENCE: It's smaller when you orbit it 355 00:18:40,410 --> 00:18:44,010 around the light source. 356 00:18:44,010 --> 00:18:46,740 It didn't block out that much light. 357 00:18:46,740 --> 00:18:49,255 If you do this, it blocks out light for a longer 358 00:18:49,255 --> 00:18:51,449 time if the object's massive. 359 00:18:51,449 --> 00:18:52,990 MARK HARTMAN: If the object is, well, 360 00:18:52,990 --> 00:18:54,440 not necessarily massive, but in this case, 361 00:18:54,440 --> 00:18:55,690 it has to do with the size. 362 00:18:55,690 --> 00:19:00,850 If the object is bigger, it blocks off the light 363 00:19:00,850 --> 00:19:05,230 from getting to you for a longer amount of time. 364 00:19:05,230 --> 00:19:08,200 So when we're talking about X-ray binary systems 365 00:19:08,200 --> 00:19:12,610 as an explanation for changing flux, what we really mean 366 00:19:12,610 --> 00:19:16,456 is this idea, that we block some of the flux as we go by. 367 00:19:16,456 --> 00:19:17,830 But let me ask you one more quick 368 00:19:17,830 --> 00:19:19,600 question before we take a break. 369 00:19:19,600 --> 00:19:22,720 What if I did it this way? 370 00:19:22,720 --> 00:19:24,110 Let me do it like this. 371 00:19:24,110 --> 00:19:27,340 If I went like this and made this orbit around-- 372 00:19:27,340 --> 00:19:30,232 actually, [? Shekeeb, ?] can you come and hold this for me? 373 00:19:30,232 --> 00:19:31,140 AUDIENCE: Like this? 374 00:19:31,140 --> 00:19:34,790 MARK HARTMAN: Yeah, just like that, just like that. 375 00:19:34,790 --> 00:19:36,170 Good. 376 00:19:36,170 --> 00:19:41,663 Now if I do this, what do you see, Steve? 377 00:19:41,663 --> 00:19:42,704 AUDIENCE: The same thing. 378 00:19:42,704 --> 00:19:44,392 I see the same flux. 379 00:19:44,392 --> 00:19:45,100 MARK HARTMAN: OK. 380 00:19:45,100 --> 00:19:46,993 And Bianca, what do you see? 381 00:19:46,993 --> 00:19:50,304 AUDIENCE: When the star passes in front [? on ?] this side, 382 00:19:50,304 --> 00:19:53,150 it's blocked out [INAUDIBLE]. 383 00:19:53,150 --> 00:19:54,200 MARK HARTMAN: OK. 384 00:19:54,200 --> 00:19:57,530 So you don't always get a change in flux 385 00:19:57,530 --> 00:19:59,850 when you have an X-ray binary system. 386 00:19:59,850 --> 00:20:02,180 It depends on what angle you're looking at it from, 387 00:20:02,180 --> 00:20:07,070 because Juan is also going to see that flux get blocked-- 388 00:20:07,070 --> 00:20:07,690 well, kind of. 389 00:20:07,690 --> 00:20:09,710 Maybe it's getting blocked by his hand. 390 00:20:09,710 --> 00:20:12,590 But then Steve and Chris are still not going 391 00:20:12,590 --> 00:20:14,830 to see this thing get blocked.