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These are the user uploaded subtitles that are being translated: 1 00:00:02,002 --> 00:00:03,670 (ethereal music) 2 00:00:03,737 --> 00:00:07,407 HAWKING: We all have questions, 3 00:00:07,474 --> 00:00:10,477 big questions. 4 00:00:10,543 --> 00:00:13,046 JOY (off screen): How big is the universe? 5 00:00:15,115 --> 00:00:18,785 HAWKING: It's part of what it means to be a human. 6 00:00:18,852 --> 00:00:21,388 JIM (off screen): How far away are the stars? 7 00:00:21,454 --> 00:00:22,489 JOY: Joy to boat. 8 00:00:22,555 --> 00:00:24,224 ♪ ♪ 9 00:00:24,290 --> 00:00:27,060 HAWKING: My name is Stephen Hawking, 10 00:00:27,127 --> 00:00:32,832 and I believe that anyone can answer big questions for themselves. 11 00:00:32,899 --> 00:00:34,567 CAT: This is exciting. 12 00:00:34,634 --> 00:00:37,570 HAWKING (off screen): So with the help of a few ordinary people... 13 00:00:39,506 --> 00:00:41,341 And a team of experts... 14 00:00:41,408 --> 00:00:45,412 CHRIS (off screen): Where you are changes how we see the universe. 15 00:00:46,546 --> 00:00:49,282 HAWKING (off screen): We are going on the ultimate voyage. 16 00:00:49,349 --> 00:00:51,751 JUNA (off screen): These distances are just getting bigger and bigger. 17 00:00:51,818 --> 00:00:53,053 HAWKING (off screen): A quest to answer 18 00:00:53,119 --> 00:00:55,889 the greatest mysteries of the universe... 19 00:00:55,955 --> 00:00:57,891 JIM: Right, let's blow this bad boy up. 20 00:00:57,957 --> 00:01:01,394 HAWKING (off screen): Using the power of the human mind... 21 00:01:01,461 --> 00:01:02,595 JOY: We made it! 22 00:01:02,662 --> 00:01:08,668 ♪ ♪ 23 00:01:08,735 --> 00:01:12,806 HAWKING: Because anyone can think like a genius. 24 00:01:18,912 --> 00:01:21,047 PEOPLE (off screen): Where are we? 25 00:01:21,781 --> 00:01:24,784 (spacey music) 26 00:01:24,851 --> 00:01:26,219 ♪ ♪ 27 00:01:26,286 --> 00:01:28,688 HAWKING (off screen): Where are we? 28 00:01:28,755 --> 00:01:31,991 That's a pretty profound question. 29 00:01:33,393 --> 00:01:39,232 If we didn't know where we are, we'd be like monkeys in a forest, 30 00:01:39,299 --> 00:01:43,169 totally unaware of our position in the cosmos. 31 00:01:47,173 --> 00:01:53,413 Fortunately, we humans know everything from the shape of the Earth 32 00:01:53,480 --> 00:01:55,949 to its place in the universe. 33 00:01:58,051 --> 00:02:00,253 But how did we find out? 34 00:02:04,257 --> 00:02:07,227 I believe anyone can work it out. 35 00:02:07,927 --> 00:02:10,697 Let's see if I'm right. 36 00:02:11,564 --> 00:02:16,603 I have asked three ordinary people to come on a journey of discovery. 37 00:02:23,943 --> 00:02:26,613 They will have tools and equipment, 38 00:02:26,679 --> 00:02:32,018 and I want to see if they can grasp the full scale of the universe... 39 00:02:33,453 --> 00:02:38,057 With some fun experiments to find out where we are. 40 00:02:39,425 --> 00:02:40,393 JOY: Where are we? 41 00:02:40,460 --> 00:02:42,295 JIM: That's a really good question. 42 00:02:42,362 --> 00:02:43,830 JOY: We're on Earth. 43 00:02:43,897 --> 00:02:45,498 CAT: Yet there's more planets out there. 44 00:02:45,565 --> 00:02:47,000 JIM: In my solar system. 45 00:02:47,066 --> 00:02:48,668 CAT: In the Milky Way. 46 00:02:48,735 --> 00:02:50,170 JIM: That's where I'm at. 47 00:02:52,138 --> 00:02:55,408 HAWKING (off screen): But how do we know for sure? 48 00:02:55,475 --> 00:02:58,344 The first step is to measure our planet. 49 00:02:58,411 --> 00:03:02,515 How big is it, and is it really round? 50 00:03:03,950 --> 00:03:08,021 The volunteers don't know it, but they are going to find out 51 00:03:08,087 --> 00:03:11,324 the size and shape of the world right here in Nevada. 52 00:03:13,059 --> 00:03:16,863 They'll do it by tackling their first challenge: 53 00:03:16,930 --> 00:03:18,798 how flat is this lake? 54 00:03:18,865 --> 00:03:22,435 CAT (off screen): How do you measure the flatness of a lake? 55 00:03:22,502 --> 00:03:24,204 JOY: With a huge ruler. 56 00:03:24,270 --> 00:03:25,972 (laughter) 57 00:03:26,039 --> 00:03:27,640 JIM: Yeah, she has a point, though. 58 00:03:27,707 --> 00:03:29,375 You need something that you know is flat 59 00:03:29,442 --> 00:03:31,244 to measure the surface of the water against. 60 00:03:31,311 --> 00:03:32,779 JOY: Yeah. 61 00:03:32,845 --> 00:03:36,282 (percussive music) 62 00:03:36,349 --> 00:03:39,752 HAWKING (off screen): This lake holds the secret to the size and shape 63 00:03:39,819 --> 00:03:43,489 of the Earth, but can the team work it out? 64 00:03:45,325 --> 00:03:48,595 To help them, they need a few tools. 65 00:03:48,661 --> 00:03:51,231 JOY: 2 feet, 7 inches. 66 00:03:51,297 --> 00:03:55,001 HAWKING (off screen): First is a powerful laser which projects 67 00:03:55,068 --> 00:03:59,105 a straight beam of light across the surface of the lake. 68 00:03:59,172 --> 00:04:01,774 Next, they'll need a boat. 69 00:04:04,477 --> 00:04:05,778 JIM: Bye. 70 00:04:05,845 --> 00:04:07,914 -Whoo, we just passed through it! -CAT: Yep. 71 00:04:09,449 --> 00:04:11,351 JOY (off screen): Joy to boat. 72 00:04:11,417 --> 00:04:13,720 CAT (over radio): This is Cat, over. 73 00:04:13,786 --> 00:04:17,090 JOY: I want you to go at the front of the laser. 74 00:04:17,156 --> 00:04:18,691 CAT (off screen): Roger. 75 00:04:18,758 --> 00:04:20,793 Now we gotta turn a little to the right. 76 00:04:23,396 --> 00:04:25,465 HAWKING (off screen): If the lake is flat... 77 00:04:28,167 --> 00:04:32,639 The laser beam and the water will always be parallel to each other. 78 00:04:34,040 --> 00:04:35,642 Seen from a boat, 79 00:04:35,708 --> 00:04:39,045 the beam would always stay at the same height above the water 80 00:04:39,112 --> 00:04:42,015 no matter how far you travel into the lake. 81 00:04:44,484 --> 00:04:49,489 But does that happen, and can the team work out why? 82 00:04:50,456 --> 00:04:53,593 Time to find out. 83 00:04:53,660 --> 00:04:58,698 The boat has a whiteboard attached to it which will be a target. 84 00:04:58,765 --> 00:05:00,566 CAT (off screen): We're looking for the laser beam 85 00:05:00,633 --> 00:05:02,602 so that we can mark it on the whiteboard. 86 00:05:02,669 --> 00:05:03,870 JIM: Oh, it's hitting off that. 87 00:05:07,106 --> 00:05:08,441 And we made the first measurement, 88 00:05:08,508 --> 00:05:11,411 and I was pretty confident that we weren't gonna find anything. 89 00:05:11,477 --> 00:05:14,380 CAT (off screen): A little more to the right. 90 00:05:16,316 --> 00:05:18,418 JIM (off screen): Almost there. There we go. 91 00:05:18,484 --> 00:05:22,855 HAWKING (off screen): They take their first reading 500 feet from the shore. 92 00:05:22,922 --> 00:05:25,725 JIM (off screen): Okay, what was the height of it? 93 00:05:25,792 --> 00:05:26,993 Got it. 94 00:05:27,060 --> 00:05:30,930 (tense music) 95 00:05:30,997 --> 00:05:32,865 HAWKING (off screen): For the next measurement, 96 00:05:32,932 --> 00:05:35,835 they'll need to go much further out. 97 00:05:35,902 --> 00:05:38,338 JOY (off screen): Okay, so now I need you go out three miles 98 00:05:38,404 --> 00:05:39,072 away from the laser. 99 00:05:39,138 --> 00:05:40,540 CAT (over radio): All right. 100 00:05:40,606 --> 00:05:41,507 JIM: Awesome. 101 00:05:41,574 --> 00:05:48,448 ♪ ♪ 102 00:05:55,521 --> 00:05:59,292 HAWKING (off screen): So 3 miles away, where is the laser beam? 103 00:06:00,326 --> 00:06:05,631 Remember, if the lake is flat, it would be the same height as before. 104 00:06:07,333 --> 00:06:09,769 JOY (off screen): Cat, you have to go slightly to the left. 105 00:06:10,770 --> 00:06:12,538 CAT (over radio): You said go slightly to the left? 106 00:06:12,605 --> 00:06:14,974 JOY (over radio): Yeah. 107 00:06:16,008 --> 00:06:17,477 CAT: A little bit more to the right. 108 00:06:18,711 --> 00:06:19,912 JIM: Here we go. 109 00:06:19,979 --> 00:06:23,282 CAT: I don't even think this beam is gonna hit our boat... 110 00:06:23,349 --> 00:06:25,485 (dramatic music) 111 00:06:25,551 --> 00:06:28,154 So we're gonna have to measure it on something else. 112 00:06:28,221 --> 00:06:29,622 CAT: All right. 113 00:06:29,689 --> 00:06:31,557 -JIM: I've no idea. -CAT: Here we go. 114 00:06:31,624 --> 00:06:34,494 JIM: Oh, is that your... your measuring tool? 115 00:06:35,395 --> 00:06:36,729 -CAT: Do you see it? -JIM: Yep. 116 00:06:36,796 --> 00:06:37,730 CAT: Can you mark it? 117 00:06:40,733 --> 00:06:41,968 CAT: Oh, that's good. 118 00:06:44,370 --> 00:06:46,939 JIM: We made the second measurement, and my whole world fell apart. 119 00:06:48,040 --> 00:06:49,208 It's like 6 feet. 120 00:06:49,275 --> 00:06:50,343 -CAT: Yeah. -JIM: Yeah. 121 00:06:50,410 --> 00:06:52,278 CAT: It seems a lot higher. -JIM: Okay. 122 00:06:52,345 --> 00:06:53,579 -CAT: You got it? -JIM: Uh huh. 123 00:06:53,646 --> 00:06:54,814 CAT: All right. 124 00:06:55,481 --> 00:06:57,116 HAWKING (off screen): Just 3 miles away, 125 00:06:57,183 --> 00:07:00,553 the laser seems to have risen by 6 feet. 126 00:07:02,121 --> 00:07:04,657 But we know the beam is level, 127 00:07:04,724 --> 00:07:09,162 so that suggests that the lake is now 6 feet lower. 128 00:07:09,228 --> 00:07:11,531 JIM (off screen): To see a 6-foot drop, 129 00:07:11,597 --> 00:07:15,968 when everything looked flat to me, was kind of mind-boggling. 130 00:07:16,035 --> 00:07:19,005 Definitely kind of shattered my perspective in about one second. 131 00:07:19,071 --> 00:07:21,274 It made me rethink what was going on. 132 00:07:21,340 --> 00:07:24,243 (soft dramatic music) 133 00:07:24,310 --> 00:07:26,913 JIM: Perception is still it's a flat lake, but... 134 00:07:26,979 --> 00:07:29,549 -CAT: It's not a flat lake. -JIM: It's not a flat lake. 135 00:07:31,117 --> 00:07:32,919 CAT (off screen): That was crazy. 136 00:07:32,985 --> 00:07:35,154 I was definitely blown away by the fact 137 00:07:35,221 --> 00:07:37,657 that the laser was that high off the water. 138 00:07:42,962 --> 00:07:44,630 -JIM: Hey. -CAT: Hey, Joy. 139 00:07:44,697 --> 00:07:46,065 -JIM: What's up? -CAT: We're back. 140 00:07:46,132 --> 00:07:47,066 JOY: So how was it? 141 00:07:47,133 --> 00:07:49,302 JIM: The laser was 6 feet up in the air, 142 00:07:49,368 --> 00:07:50,303 and we had to use... -JOY: What? 143 00:07:50,369 --> 00:07:51,804 JIM (off screen): This board to mark it. It was cool... 144 00:07:51,871 --> 00:07:55,074 HAWKING (off screen): The lake is clearly not flat. 145 00:07:55,141 --> 00:07:58,377 It's almost as if it's sloping downhill. 146 00:07:59,178 --> 00:08:02,715 With this realization, my volunteers have made 147 00:08:02,782 --> 00:08:06,619 their first step towards measuring the entire world. 148 00:08:06,686 --> 00:08:08,421 JOY: I think we should make some more measurements, for sure. 149 00:08:08,488 --> 00:08:10,423 -JIM: Yeah, agreed. -CAT: Yeah, totally. 150 00:08:14,927 --> 00:08:16,496 HAWKING (off screen): But they are not the first people 151 00:08:16,562 --> 00:08:19,332 to do it, of course. 152 00:08:24,003 --> 00:08:28,241 In fact, the first person to measure the Earth accurately 153 00:08:28,307 --> 00:08:32,078 was an ancient Greek genius named Eratosthenes. 154 00:08:36,449 --> 00:08:41,621 FRANCISCO: More than 2,000 years ago, Eratosthenes, a very clever philosopher, 155 00:08:41,687 --> 00:08:44,423 mathematician, geometer, from Greece, 156 00:08:44,490 --> 00:08:48,394 he embarked on an experiment to measure the diameter of the Earth. 157 00:08:50,029 --> 00:08:52,265 If the Earth was flat, 158 00:08:52,331 --> 00:08:55,501 anywhere on the flat Earth at a given time during the day, 159 00:08:55,568 --> 00:08:58,571 we would see the sun shining with the same angle. 160 00:08:58,638 --> 00:09:01,374 While, if it is round, that won't be the case. 161 00:09:02,241 --> 00:09:04,644 HAWKING (off screen): Eratosthenes had heard that at noon 162 00:09:04,710 --> 00:09:07,079 on the longest day of the year, the sun shines 163 00:09:07,146 --> 00:09:12,652 directly down the water well in what is now the city of Aswan in Egypt. 164 00:09:14,053 --> 00:09:17,657 Here, the sun must be directly overhead. 165 00:09:20,459 --> 00:09:25,064 So in another location 500 miles to the north, 166 00:09:25,131 --> 00:09:27,700 he made a second observation, 167 00:09:27,767 --> 00:09:31,771 again at noon on the longest day of the year. 168 00:09:31,837 --> 00:09:37,777 FRANCISCO: Here, 500 miles north, he performed this experiment 169 00:09:37,843 --> 00:09:41,013 and he planted a pole vertical 170 00:09:41,080 --> 00:09:45,451 and realized that the pole was casting a shadow. 171 00:09:47,453 --> 00:09:48,888 HAWKING (off screen): The shadow was evidence 172 00:09:48,955 --> 00:09:52,758 that the sun is not overhead, but at an angle. 173 00:09:52,825 --> 00:09:55,361 (light music) 174 00:09:55,428 --> 00:09:58,564 By measuring this angle 175 00:09:58,631 --> 00:10:01,834 and knowing the distance between the two locations... 176 00:10:03,736 --> 00:10:07,573 He was able to calculate that the Earth is a ball, 177 00:10:07,640 --> 00:10:11,577 about 8,000 miles in diameter. 178 00:10:11,644 --> 00:10:13,279 But the question is, 179 00:10:13,346 --> 00:10:19,018 with the right tools, can the volunteers match this genius? 180 00:10:21,821 --> 00:10:25,925 HAWKING (off screen): Our search to find our place in the universe is underway. 181 00:10:27,493 --> 00:10:31,364 My volunteers have discovered the lake is not flat, 182 00:10:31,430 --> 00:10:33,966 but in order to measure the whole world, 183 00:10:34,033 --> 00:10:36,636 they need to make a new measurement, 184 00:10:36,702 --> 00:10:37,637 much further away. 185 00:10:39,005 --> 00:10:41,273 They will need some new tools. 186 00:10:42,141 --> 00:10:43,809 -JOY: Okay, let's get this box open. -JIM: All right. 187 00:10:43,876 --> 00:10:44,777 CAT: Yeah. 188 00:10:46,278 --> 00:10:48,581 -CAT: Hey, what do we have here? -JIM: Tripod. 189 00:10:48,648 --> 00:10:49,649 JOY: That looks like a tripod. 190 00:10:51,917 --> 00:10:54,286 HAWKING (off screen): Now, instead of the laser, 191 00:10:54,353 --> 00:10:56,656 a telescope will enable our volunteers 192 00:10:56,722 --> 00:11:00,693 to look in a straight line to the lake's opposite shore. 193 00:11:01,727 --> 00:11:04,697 But that's not the only instrument they'll need. 194 00:11:04,764 --> 00:11:05,965 -CAT (off screen): We're wondering, okay, 195 00:11:06,032 --> 00:11:08,401 how are we gonna get this next point if it's so high, 196 00:11:08,467 --> 00:11:09,702 it's past our board? 197 00:11:09,769 --> 00:11:12,705 (dynamic music) 198 00:11:12,772 --> 00:11:14,040 ♪ ♪ 199 00:11:14,106 --> 00:11:15,941 -CAT: Whoa! -JIM: Very cool. 200 00:11:17,843 --> 00:11:19,879 CAT: Are we getting in a helicopter? 201 00:11:22,581 --> 00:11:25,451 CAT: This chopper appears out of nowhere. 202 00:11:27,520 --> 00:11:28,888 CAT: All right, that is awesome. 203 00:11:30,056 --> 00:11:32,992 HAWKING (off screen): Just as the telescope replaces the laser, 204 00:11:33,059 --> 00:11:36,328 the helicopter takes the place of the boat. 205 00:11:37,596 --> 00:11:39,131 JIM (off screen): I'll stay with the telescope. 206 00:11:39,198 --> 00:11:40,032 -JOY: Okay, great. -CAT (off screen): We'll go in 207 00:11:40,099 --> 00:11:41,033 the helicopter. 208 00:11:41,100 --> 00:11:42,201 -JOY: That's a plan. -JIM (off screen): Sounds like a plan. 209 00:11:42,268 --> 00:11:44,036 -JOY: Yeah. -CAT (off screen): All right, let's do it. 210 00:11:46,672 --> 00:11:48,574 BRIAN (off screen): All right, we'll go ahead and lift off. 211 00:11:49,408 --> 00:11:51,177 CAT: This is exciting! 212 00:11:53,813 --> 00:11:56,849 JOY: I love that there are no doors. (laughs) 213 00:11:59,351 --> 00:12:02,888 JOY: We're flying to Pyramid Rock, do you copy that? 214 00:12:02,955 --> 00:12:06,425 JIM: I copy that. You are flying to the Pyramid. 215 00:12:08,594 --> 00:12:11,630 JOY (off screen): The lake looks completely flat from up here. 216 00:12:14,567 --> 00:12:17,002 HAWKING (off screen): If they are twice as far away as before, 217 00:12:17,069 --> 00:12:21,874 how much lower will the far shore of the lake appear to be? 218 00:12:21,941 --> 00:12:24,543 JOY (over radio): Jim, we're going to be at the top 219 00:12:24,610 --> 00:12:26,245 of the pyramid rock. 220 00:12:31,417 --> 00:12:33,018 Jim: Oh, got 'em. 221 00:12:34,420 --> 00:12:37,423 Yeah, I have you on the telescope. Go ahead and land. 222 00:12:40,326 --> 00:12:43,295 (dynamic music) 223 00:12:43,362 --> 00:12:47,867 ♪ ♪ 224 00:12:47,933 --> 00:12:52,004 JIM: As it lands, it completely disappears from my line of sight. 225 00:12:53,739 --> 00:12:55,407 Joy, are you still airborne? 226 00:12:56,609 --> 00:12:59,512 JOY: Yeah, can you see us landing? 227 00:13:00,246 --> 00:13:02,915 JIM (off screen): The reports from the helicopter, they're still flying, 228 00:13:02,982 --> 00:13:04,683 but I can't see it. 229 00:13:07,987 --> 00:13:10,256 To wrap your head around it in that short of time 230 00:13:10,322 --> 00:13:12,658 was a little difficult for me. 231 00:13:12,725 --> 00:13:14,226 I was like, this is crazy. 232 00:13:14,293 --> 00:13:16,896 JOY: We have landed in our position. 233 00:13:18,297 --> 00:13:20,332 JIM: Okay, Joy, go ahead and lift off. 234 00:13:22,968 --> 00:13:27,173 HAWKING (off screen): They plan to ascend until Jim can see them on the horizon. 235 00:13:27,239 --> 00:13:29,942 Then they'll tell him their altitude. 236 00:13:31,644 --> 00:13:36,048 JOY: Let me know when you can see us on spots of the horizon. 237 00:13:37,683 --> 00:13:40,853 (dramatic music) 238 00:13:40,920 --> 00:13:44,957 ♪ ♪ 239 00:13:45,024 --> 00:13:46,625 JIM: Oh, I got 'em, I got 'em. 240 00:13:46,692 --> 00:13:49,795 JIM (off screen): Okay, what's your elevation right now? 241 00:13:50,529 --> 00:13:53,866 CAT: All right, Brian, how many feet are we above the lake? 242 00:13:55,467 --> 00:13:56,735 BRIAN: 24 feet. 243 00:13:59,104 --> 00:14:03,442 JOY: Whoo, we made it, 24 feet. 244 00:14:03,509 --> 00:14:05,411 JIM: 24 feet, awesome. 245 00:14:07,580 --> 00:14:10,916 CAT (off screen): 24 feet is a lot higher 246 00:14:10,983 --> 00:14:13,519 than our other two points that we got. 247 00:14:14,153 --> 00:14:15,955 That was awesome, it was great. 248 00:14:17,756 --> 00:14:19,325 HAWKING (off screen): At 6 miles, 249 00:14:19,391 --> 00:14:22,728 the lake has fallen four times lower than before. 250 00:14:24,597 --> 00:14:26,999 So what is going on? 251 00:14:28,601 --> 00:14:30,436 JIM: Okay, you guys, check this out. 252 00:14:30,502 --> 00:14:33,839 So if this line is our laser beam... 253 00:14:33,906 --> 00:14:34,840 CAT: Right. 254 00:14:36,275 --> 00:14:38,210 JIM: That we shot across the lake, right? 255 00:14:38,277 --> 00:14:41,380 And that's the shore, this is the laser, right there. 256 00:14:41,447 --> 00:14:43,515 And we join our data points... 257 00:14:45,451 --> 00:14:50,155 At 6 feet and then all the way out to 24, 258 00:14:50,222 --> 00:14:52,958 this is our source, that's our flat line, right? 259 00:14:53,025 --> 00:14:54,827 And this is the surface of the lake. 260 00:14:57,096 --> 00:15:00,199 HAWKING (off screen): The green line shows the path of the laser 261 00:15:00,266 --> 00:15:02,234 and the view from the telescope. 262 00:15:04,136 --> 00:15:06,939 And the gold line shows how the data points 263 00:15:07,006 --> 00:15:09,708 form the beginning of a curve. 264 00:15:11,777 --> 00:15:15,481 CAT: So that means this lake isn't flat. 265 00:15:15,547 --> 00:15:16,782 JIM: It's not even close. 266 00:15:16,849 --> 00:15:18,350 CAT: No. 267 00:15:18,417 --> 00:15:19,885 JIM: That's crazy. 268 00:15:20,886 --> 00:15:23,122 JIM (off screen): If we can just continue that curvature all the way around 269 00:15:23,188 --> 00:15:25,858 and complete a circle, and we can measure it, 270 00:15:25,925 --> 00:15:28,627 then that gives us the circumference of the Earth. 271 00:15:30,329 --> 00:15:33,699 HAWKING (off screen): With these measurements on the lake, 272 00:15:33,766 --> 00:15:36,735 we can calculate that the Earth's circumference 273 00:15:36,802 --> 00:15:43,575 is around 25,000 miles, which matches Eratosthenes's calculation. 274 00:15:43,642 --> 00:15:45,377 JIM: I still have a hard time wrapping my head around the fact 275 00:15:45,444 --> 00:15:48,714 that we measured the Earth at that lake. 276 00:15:48,781 --> 00:15:49,949 CAT: I'll never look at a lake the same way, 277 00:15:50,015 --> 00:15:52,384 I'll never look at a big body of water the same way, 278 00:15:52,451 --> 00:15:55,788 now that I know it's following the curvature of the Earth. 279 00:16:01,894 --> 00:16:05,631 HAWKING (off screen): Knowing the shape and size of the Earth 280 00:16:05,698 --> 00:16:09,001 is just the beginning of finding out where we are. 281 00:16:10,436 --> 00:16:12,171 To learn more, 282 00:16:12,237 --> 00:16:15,674 we need to journey into space, 283 00:16:15,741 --> 00:16:17,643 to the moon and beyond. 284 00:16:20,946 --> 00:16:23,148 HAWKING (off screen): The moon is our nearest neighbor, 285 00:16:23,215 --> 00:16:26,986 but few people realize its distance from Earth. 286 00:16:27,052 --> 00:16:30,956 So the next challenge in finding out where we are 287 00:16:31,023 --> 00:16:34,059 is to find out how far away the moon is. 288 00:16:35,494 --> 00:16:40,065 To discover this, we need to head into the vast Nevada desert. 289 00:16:41,066 --> 00:16:42,868 CAT: So, what's in the box? 290 00:16:46,472 --> 00:16:47,539 -JOY: Oh! -CAT: Okay. 291 00:16:47,606 --> 00:16:50,609 So it's a tiny Earth and a tiny moon. 292 00:16:52,578 --> 00:16:56,281 HAWKING (off screen): These are scale models of the Earth and the moon. 293 00:16:56,348 --> 00:17:01,487 Their relative size was first discovered by the ancient Greeks, 294 00:17:01,553 --> 00:17:03,689 thousands of years ago. 295 00:17:07,326 --> 00:17:10,295 Back then, the genius who worked it out 296 00:17:10,362 --> 00:17:12,998 was a man called Aristarchus. 297 00:17:14,166 --> 00:17:17,069 CHRIS (off screen): If you look at the moon, there's a bright crater, 298 00:17:17,136 --> 00:17:18,837 and it's called Aristarchus, 299 00:17:18,904 --> 00:17:21,106 named that way to help us remember the man 300 00:17:21,173 --> 00:17:23,409 who told us the size of the moon. 301 00:17:24,910 --> 00:17:27,112 CHRIS (off screen): So how did Aristarchus do it? 302 00:17:28,680 --> 00:17:32,718 The answer is that he simply observed its passage through the sky. 303 00:17:32,785 --> 00:17:35,454 And he calculated that it took one hour 304 00:17:35,521 --> 00:17:38,190 to cover the distance of its own diameter. 305 00:17:39,625 --> 00:17:41,660 Once he'd worked that out, he had to find a way 306 00:17:41,727 --> 00:17:44,763 to make that figure relevant to the size of the Earth. 307 00:17:45,731 --> 00:17:48,267 Aristarchus realized that he could use a phenomenon 308 00:17:48,333 --> 00:17:49,868 called a total eclipse. 309 00:17:49,935 --> 00:17:52,171 And a total eclipse of the moon is a common thing. 310 00:17:52,237 --> 00:17:54,106 It happens once or twice a year, 311 00:17:54,173 --> 00:17:57,209 when the moon passes through the Earth's shadow. 312 00:18:03,382 --> 00:18:04,917 CHRIS (off screen): He discovered that the moon took about 313 00:18:04,983 --> 00:18:09,288 2.7 hours to cross through the Earth's shadow. 314 00:18:12,424 --> 00:18:15,861 And so he then knew that the Earth's shadow 315 00:18:15,928 --> 00:18:19,164 was 2.7 times larger than the moon itself. 316 00:18:23,268 --> 00:18:25,037 CHRIS (off screen): Aristarchus's calculation showed 317 00:18:25,104 --> 00:18:28,407 that the moon was 3,000 miles across in diameter, 318 00:18:28,474 --> 00:18:31,877 and we now know that the true figure is just over 2,000 miles. 319 00:18:33,145 --> 00:18:36,081 What this does is it extends the reach of measurement 320 00:18:36,148 --> 00:18:39,151 out above the Earth's atmosphere and into space. 321 00:18:40,652 --> 00:18:44,656 He says that the universe is a place that scientists can explore as well. 322 00:18:46,625 --> 00:18:49,394 HAWKING (off screen): Once we know the size of the Earth and the moon, 323 00:18:49,461 --> 00:18:54,066 it's possible for my volunteers to take the next step 324 00:18:54,133 --> 00:18:56,602 and find out how far apart they are. 325 00:18:57,936 --> 00:19:00,139 But first, a guess. 326 00:19:01,473 --> 00:19:05,444 JIM: I think it's closer. I think it's about...there. 327 00:19:06,245 --> 00:19:08,080 CAT: That is what I was gonna do. 328 00:19:08,147 --> 00:19:10,082 I was gonna put them... 329 00:19:12,017 --> 00:19:13,352 -CAT: Close, I think. -JIM: Closer than further. 330 00:19:13,418 --> 00:19:17,356 JOY: I think that it's a bit further away. 331 00:19:17,422 --> 00:19:19,391 -CAT: Wow, that far? -JIM: Going big. 332 00:19:19,458 --> 00:19:21,727 -JOY (off screen) I put this as my guess. -JIM: Okay. 333 00:19:23,262 --> 00:19:26,365 HAWKING (off screen): So how can we find out for sure? 334 00:19:28,033 --> 00:19:31,103 This evening, there is a full moon. 335 00:19:31,170 --> 00:19:36,742 That is the final clue they need to think like Aristarchus. 336 00:19:36,808 --> 00:19:39,344 CAT: Maybe, we take the Earth and put the moon in front of it, 337 00:19:39,411 --> 00:19:40,946 until we cover up the moon? 338 00:19:42,047 --> 00:19:44,449 -JIM: Same size? -CAT: Same size. 339 00:19:44,516 --> 00:19:46,218 -JIM (off screen) Okay. -CAT (off screen): Take it till we 340 00:19:46,285 --> 00:19:48,353 lose sight of the moon. 341 00:19:49,421 --> 00:19:51,256 HAWKING (off screen): Cat has the answer. 342 00:19:51,323 --> 00:19:53,258 CAT: I'm looking at the real moon in the sky 343 00:19:53,325 --> 00:19:54,493 and the little moon that we have 344 00:19:54,560 --> 00:19:57,729 and I'm thinking, "Well, they're the same." 345 00:19:57,796 --> 00:20:03,502 So maybe we need to black out the real moon in the sky. 346 00:20:03,569 --> 00:20:05,337 Closer, closer... 347 00:20:06,271 --> 00:20:07,873 CAT: A little closer. 348 00:20:10,042 --> 00:20:12,444 CAT (off screen): All right. I say that's it. 349 00:20:12,511 --> 00:20:14,780 -JIM: Is that it? -CAT: Yeah, so you were right. 350 00:20:14,846 --> 00:20:17,783 The moon is pretty far from the Earth, 351 00:20:17,849 --> 00:20:19,818 yeah, a lot farther than we thought. 352 00:20:23,021 --> 00:20:26,325 HAWKING (off screen): When the scale moon is just the right distance away, 353 00:20:26,391 --> 00:20:29,595 it will cover the real moon perfectly. 354 00:20:29,661 --> 00:20:31,964 That's how you find the distance. 355 00:20:34,032 --> 00:20:39,671 In the desert, the scale models of the moon and Earth are 6 feet apart. 356 00:20:39,738 --> 00:20:45,577 Up in the sky, the real moon is about 240,000 miles away. 357 00:20:46,878 --> 00:20:49,181 CAT (off screen): It worked. I'm not a scientist, 358 00:20:49,248 --> 00:20:52,351 and be able to just do that off a whim 359 00:20:52,417 --> 00:20:55,821 and it just came to me, that was...that was incredible. 360 00:20:55,887 --> 00:20:58,724 (dramatic music) 361 00:20:58,790 --> 00:21:05,530 ♪ ♪ 362 00:21:05,597 --> 00:21:08,867 HAWKING: By measuring the Earth and our distance to the moon, 363 00:21:08,934 --> 00:21:13,372 we've taken our first step out into space. 364 00:21:13,438 --> 00:21:14,706 CAT (off screen): Good. 365 00:21:16,241 --> 00:21:19,311 HAWKING (off screen): But to find out where we truly are in the universe... 366 00:21:20,812 --> 00:21:22,347 JIM: Got it? 367 00:21:22,414 --> 00:21:24,349 HAWKING (off screen): The next step is to figure out our place 368 00:21:24,416 --> 00:21:29,488 in relation to the brightest object in our sky, the sun. 369 00:21:31,189 --> 00:21:35,727 Today, we know it is nearly 900,000 miles in diameter. 370 00:21:35,794 --> 00:21:40,599 But again, people don't realize how big that really is. 371 00:21:40,666 --> 00:21:41,733 -JIM: Whoa. -CAT: Wow! 372 00:21:41,800 --> 00:21:44,436 JIM: That's the sun, that's massive. 373 00:21:44,503 --> 00:21:46,405 JOY: It looks so big. 374 00:21:46,471 --> 00:21:48,807 HAWKING (off screen): This is the sun at the same scale 375 00:21:48,874 --> 00:21:51,810 as our tiny Earth and moon models. 376 00:21:51,877 --> 00:21:53,211 -CAT: Go this way, -JOY: Okay. 377 00:21:54,012 --> 00:21:56,948 -JIM: Uh, this thing... -JOY: Oh, no, it's...(laughs) 378 00:21:57,015 --> 00:22:00,319 JIM: At first, when we tried to lift it, we could barely pull the model out. 379 00:22:01,053 --> 00:22:02,688 -JOY: All right. -JIM: It's giant. 380 00:22:02,754 --> 00:22:05,324 -CAT: Careful. -JIM: This is really to scale? 381 00:22:05,390 --> 00:22:07,993 JIM (off screen): And then we started unrolling it and it just keeps going 382 00:22:08,060 --> 00:22:09,795 and going and going. 383 00:22:09,861 --> 00:22:12,964 'Cause I just wanted to fill it up with air and see really how big it was. 384 00:22:16,702 --> 00:22:18,570 CAT: It just seemed like it was more and more fabric, 385 00:22:18,637 --> 00:22:21,306 more and more, just keep coming, it kept coming. 386 00:22:21,373 --> 00:22:22,407 JIM (off screen): Oh, wow. 387 00:22:25,043 --> 00:22:27,045 All right, let's blow this bad boy up. 388 00:22:31,550 --> 00:22:34,553 (dramatic music) 389 00:22:34,619 --> 00:22:38,423 ♪ ♪ 390 00:22:38,490 --> 00:22:42,160 JOY: I was just thinking, wow, how big is this sun 391 00:22:42,227 --> 00:22:45,731 compared to this tiny Earth that I had in my hand. 392 00:22:45,797 --> 00:22:49,501 So if this is the Earth, then this is the sun. 393 00:22:49,568 --> 00:22:52,604 (dramatic music) 394 00:22:52,671 --> 00:22:58,143 ♪ ♪ 395 00:22:58,210 --> 00:23:03,315 HAWKING (off screen): The sun is almost 110 times the diameter of the Earth. 396 00:23:08,553 --> 00:23:12,524 Now, the next big question: on this scale, 397 00:23:12,591 --> 00:23:15,327 what is the distance between Earth and the sun? 398 00:23:15,394 --> 00:23:18,397 JIM: So how far do we have to move that model to get 399 00:23:18,463 --> 00:23:22,467 the distance, and how are we gonna get the distance exact? 400 00:23:22,534 --> 00:23:23,969 CAT (off screen): I don't know. 401 00:23:26,371 --> 00:23:28,373 HAWKING (off screen): Much like it was with the moon, 402 00:23:28,440 --> 00:23:32,177 the key to answering this question is an eclipse. 403 00:23:34,346 --> 00:23:37,749 But this time, it's a solar eclipse. 404 00:23:38,550 --> 00:23:41,453 When the moon passes in front of the sun, 405 00:23:41,520 --> 00:23:42,921 seen from the Earth, 406 00:23:42,988 --> 00:23:47,025 the sun and moon are exactly the same size. 407 00:23:47,092 --> 00:23:49,928 So they should be able to find the distance 408 00:23:49,995 --> 00:23:52,964 by creating an eclipse on their model. 409 00:23:53,031 --> 00:23:56,668 CAT (off screen): In the solar eclipse, we can't see the sun at all. 410 00:23:57,436 --> 00:24:01,406 So when this sun disappears, you'd have a solar eclipse. 411 00:24:02,674 --> 00:24:04,576 JIM: Boom, there we go. 412 00:24:04,643 --> 00:24:05,977 So all we need is a solar eclipse. 413 00:24:06,044 --> 00:24:07,979 CAT (off screen): Yeah, exactly, 414 00:24:10,248 --> 00:24:13,051 CAT (off screen): We jump in the truck and we just go. 415 00:24:13,118 --> 00:24:15,554 We go in the desert and we just drive, drive, drive. 416 00:24:17,222 --> 00:24:20,792 HAWKING (off screen): How far do they need to drive? 417 00:24:20,859 --> 00:24:22,294 JIM: I think that's about it. 418 00:24:25,564 --> 00:24:29,868 HAWKING (off screen): They decide to stop 400 meters from the sun. 419 00:24:29,935 --> 00:24:32,270 CAT: All right, let's see. 420 00:24:33,872 --> 00:24:37,876 JIM: The moon...right there. 421 00:24:37,943 --> 00:24:41,079 HAWKING (off screen): To make the tiny moon eclipse the sun, 422 00:24:41,146 --> 00:24:44,416 it always has to be 6 feet from the Earth. 423 00:24:44,483 --> 00:24:46,985 -JOY: Okay, so I've got the Earth here. -JIM: All right. 424 00:24:47,052 --> 00:24:50,555 JOY: So we know this distance and now I'm going to see 425 00:24:50,622 --> 00:24:53,825 whether the moon is the same size as the sun. 426 00:24:53,892 --> 00:24:57,629 It's actually a bit smaller, so we have to go a bit closer to the sun. 427 00:24:57,696 --> 00:24:59,798 -CAT: All right, let's move it. -JOY: Let's do it. 428 00:25:00,966 --> 00:25:03,568 HAWKING (off screen): Do they need to be closer or further away? 429 00:25:03,635 --> 00:25:07,272 -CAT: Let's try here, about there? -JIM: Yeah, I think so. 430 00:25:09,641 --> 00:25:11,042 JOY (off screen) The sun is still bigger. 431 00:25:11,109 --> 00:25:12,277 -JIM (off screen) Really? -JOY (off screen) Yeah. 432 00:25:12,344 --> 00:25:14,813 CAT: The sun's still bigger than the moon? 433 00:25:14,880 --> 00:25:16,948 -JOY: Yeah. -CAT: That means we would go that way. 434 00:25:17,015 --> 00:25:20,018 JIM: I'm having a dumb stroke, I'm having a dumb moment. 435 00:25:20,085 --> 00:25:21,820 -JOY: Let's go back. -CAT: All right. 436 00:25:24,689 --> 00:25:26,658 JIM: I think we all felt a bit silly. 437 00:25:28,860 --> 00:25:31,062 CAT: We're walking across the desert. 438 00:25:31,129 --> 00:25:32,197 JIM: What were we thinking? 439 00:25:33,832 --> 00:25:35,233 CAT: How much further do you guys think? 440 00:25:35,300 --> 00:25:37,269 -JIM: I'm saying check it. -CAT: Check it? 441 00:25:43,241 --> 00:25:45,110 JIM: Bam, right there. 442 00:25:48,146 --> 00:25:49,214 JIM: Okay, ready, we look... 443 00:25:51,483 --> 00:25:53,618 JIM (off screen): Oh, we got it. 444 00:25:53,685 --> 00:25:55,186 -CAT: Yeah! -JOY: We got it. 445 00:25:55,253 --> 00:25:56,421 CAT: Yeah. 446 00:25:58,957 --> 00:26:01,393 HAWKING (off screen): They've done it. 447 00:26:01,459 --> 00:26:06,531 On the scale, the sun is just under half a mile from Earth. 448 00:26:08,700 --> 00:26:12,904 Up in space, the distance is 93 million miles. 449 00:26:14,806 --> 00:26:17,242 CAT (off screen): To see it in perspective, I mean, 450 00:26:17,309 --> 00:26:19,144 our Earth was only so big, 451 00:26:19,210 --> 00:26:21,947 and we had to take it across the desert 452 00:26:22,013 --> 00:26:25,417 in order to show distance and, I mean, 453 00:26:25,483 --> 00:26:28,653 that just shows how... 454 00:26:28,720 --> 00:26:29,754 how small we are. 455 00:26:31,189 --> 00:26:33,291 HAWKING: Our volunteers have figured out 456 00:26:33,358 --> 00:26:37,596 the distance between the sun, moon, and Earth... 457 00:26:37,662 --> 00:26:42,434 using nothing more than three round balls and a little bit of logic. 458 00:26:43,401 --> 00:26:47,739 But now we need to find out where we are on a much larger scale. 459 00:26:49,741 --> 00:26:53,511 If we know the sun is 93 million miles away... 460 00:26:55,480 --> 00:26:58,116 How big is the entire solar system? 461 00:27:00,218 --> 00:27:04,055 The ancient astronomers knew from observing the heavens 462 00:27:04,122 --> 00:27:05,890 that there was more to the universe 463 00:27:05,957 --> 00:27:10,795 than the Earth, moon, sun and stars. 464 00:27:10,862 --> 00:27:13,298 They identified five points of light 465 00:27:13,365 --> 00:27:16,901 that moved in a different way from the stars. 466 00:27:16,968 --> 00:27:19,104 These are the planets. 467 00:27:21,006 --> 00:27:25,577 Here on our scale model, Mercury is closest to the sun. 468 00:27:28,113 --> 00:27:31,850 As we head further into the solar system, 469 00:27:31,916 --> 00:27:34,886 we can see Jupiter on the horizon. 470 00:27:42,527 --> 00:27:47,265 Viewed from above, we can see all eight planets aligned. 471 00:27:47,966 --> 00:27:50,735 Neptune is 9 miles away from the sun, 472 00:27:50,802 --> 00:27:54,239 or nearly 3 billion miles in space. 473 00:27:57,709 --> 00:28:03,848 And the entire solar system is 180 billion miles side to side. 474 00:28:05,817 --> 00:28:09,020 CAT: We know we have all the planets, the stars, the sun, 475 00:28:09,087 --> 00:28:13,725 but when you see it for yourself in a perspective, 476 00:28:13,792 --> 00:28:17,495 our solar system is much bigger than we think it is. 477 00:28:23,134 --> 00:28:26,471 (ethereal music) 478 00:28:26,538 --> 00:28:28,373 ♪ ♪ 479 00:28:28,440 --> 00:28:33,645 HAWKING: We have now found out the true scale of our solar system 480 00:28:33,712 --> 00:28:35,580 and our place within it. 481 00:28:40,018 --> 00:28:44,389 But now I want to take us further into the cosmos 482 00:28:44,456 --> 00:28:48,059 and explore where we are in relation to the stars. 483 00:28:50,328 --> 00:28:56,034 On a clear night, there are 3,000 visible stars, 484 00:28:56,101 --> 00:28:58,103 but how far away are they? 485 00:29:01,673 --> 00:29:03,708 By the 19th century, 486 00:29:03,775 --> 00:29:09,781 telescopes had become powerful enough to hone in on individual stars. 487 00:29:09,848 --> 00:29:14,319 And in 1838, German astronomer Friedrich Bessel 488 00:29:14,385 --> 00:29:19,457 was able to calculate that a nearby star called 61 Cygni 489 00:29:19,524 --> 00:29:24,395 was around 67 trillion miles away from Earth. 490 00:29:24,462 --> 00:29:26,831 This was far greater than any distance 491 00:29:26,898 --> 00:29:29,834 we had encountered in our solar system. 492 00:29:32,070 --> 00:29:34,405 So a new unit of measurement was needed 493 00:29:34,472 --> 00:29:37,008 to take us to interstellar space. 494 00:29:40,311 --> 00:29:42,814 It's called the light year. 495 00:29:47,152 --> 00:29:50,321 It's the distance that light travels in one year... 496 00:29:51,356 --> 00:29:56,094 Whizzing along at 186,000 miles a second. 497 00:29:57,295 --> 00:30:01,232 That's around 5.8 trillion miles a year. 498 00:30:04,736 --> 00:30:09,641 61 Cygni is found to be about 11 light years away. 499 00:30:19,818 --> 00:30:23,221 To try and understand such huge distances, 500 00:30:23,288 --> 00:30:28,059 I want to explore what the speed of light looks like on our scale model. 501 00:30:29,727 --> 00:30:32,063 -JIM: How fast is the speed of light? -CAT: Well, it's fast, right? 502 00:30:32,130 --> 00:30:35,466 HAWKING (off screen): It takes sunlight 8 minutes and 20 seconds 503 00:30:35,533 --> 00:30:38,636 to travel from the sun to Earth. 504 00:30:38,703 --> 00:30:41,539 So in our model, the speed of light 505 00:30:41,606 --> 00:30:45,577 is the speed needed to get from the sun to our model Earth 506 00:30:45,643 --> 00:30:48,847 in 8 minutes and 20 seconds. 507 00:30:48,913 --> 00:30:50,448 How fast is that? 508 00:30:50,515 --> 00:30:52,417 CAT: We know it takes 8 1/2 minutes, 509 00:30:52,483 --> 00:30:54,485 so how fast do we need to move 510 00:30:54,552 --> 00:30:57,555 to get from our model sun to our model Earth? 511 00:30:57,622 --> 00:30:59,524 JOY: Let's be the light. 512 00:30:59,591 --> 00:31:03,895 Let's walk 750 meters and time it and see how long it takes. 513 00:31:03,962 --> 00:31:05,230 -JIM: All right. -CAT: All right. 514 00:31:05,296 --> 00:31:07,332 -JIM: I'll get the watch. -CAT: Let's go. 515 00:31:12,003 --> 00:31:14,205 HAWKING (off screen): On the scale, every foot 516 00:31:14,272 --> 00:31:19,210 that my volunteers travel represents over 40,000 miles. 517 00:31:21,212 --> 00:31:23,047 CAT: How much time have we been walking? 518 00:31:23,114 --> 00:31:26,417 -JIM: 40 seconds. -CAT: Only 40 seconds? 519 00:31:26,484 --> 00:31:27,952 JIM: Yeah. 520 00:31:28,019 --> 00:31:29,487 CAT: And we've gone pretty far. 521 00:31:29,554 --> 00:31:31,723 I mean, I can see the Earth from here. 522 00:31:31,789 --> 00:31:34,692 (laidback rock music) 523 00:31:34,759 --> 00:31:39,264 ♪ ♪ 524 00:31:39,330 --> 00:31:42,500 HAWKING (off screen): How fast is the speed of light on this scale? 525 00:31:44,569 --> 00:31:46,771 JIM: Almost there, almost there. 526 00:31:47,705 --> 00:31:51,075 -JIM: Passing the moon. -CAT: Hello, moon. 527 00:31:52,076 --> 00:31:54,479 -JIM: And bam. -CAT: What did you get? 528 00:31:54,545 --> 00:31:58,449 JIM: 8 minutes, 35 seconds. 529 00:31:58,516 --> 00:32:01,386 CAT (off screen): Wow. So we pretty much walked 530 00:32:01,452 --> 00:32:03,888 from the sun to Earth in the speed of light. 531 00:32:06,324 --> 00:32:09,327 HAWKING (off screen): Even though it's the fastest speed in the universe, 532 00:32:09,394 --> 00:32:14,465 the speed of light on this scale is just over 3 miles per hour. 533 00:32:14,532 --> 00:32:16,401 That's walking pace. 534 00:32:18,403 --> 00:32:21,172 CAT: So light isn't as fast as we perceive it to be. 535 00:32:21,239 --> 00:32:24,909 JOY: In the entire universe, light appears to travel really slow. 536 00:32:27,045 --> 00:32:28,146 CAT: Wow. 537 00:32:29,747 --> 00:32:32,183 HAWKING (off screen): It's a strange paradox. 538 00:32:33,484 --> 00:32:36,220 Although the speed of light is fast, 539 00:32:36,287 --> 00:32:38,890 distances in space are so huge 540 00:32:38,957 --> 00:32:43,094 that even one light year is not very far at all. 541 00:32:46,064 --> 00:32:49,300 JIM: It's such a revelation, but then it alters... 542 00:32:49,367 --> 00:32:53,871 it just alters your thoughts, and I have to sit in a quiet place 543 00:32:53,938 --> 00:32:55,873 and wrap my head around it for a while. 544 00:32:59,344 --> 00:33:02,480 HAWKING (off screen): If it takes eight minutes for my volunteers to reach 545 00:33:02,547 --> 00:33:08,886 their model Earth, imagine how long it would take to get to our nearest star. 546 00:33:10,088 --> 00:33:12,991 It's called Proxima Centauri. 547 00:33:14,559 --> 00:33:21,165 On our scale model, it would be 126,000 miles away from the sun. 548 00:33:22,600 --> 00:33:25,003 So our volunteers would have to walk 549 00:33:25,069 --> 00:33:27,972 halfway to the real moon to reach it. 550 00:33:29,674 --> 00:33:34,479 In space, the total distance is 4.2 light years. 551 00:33:35,980 --> 00:33:38,950 JIM (off screen): I'd have to walk for 4.2 years continuously 552 00:33:39,017 --> 00:33:41,052 to get to my nearest star. 553 00:33:42,787 --> 00:33:46,924 If I was gonna shrink that down for the purpose of demonstrations, 554 00:33:46,991 --> 00:33:50,561 well, our scale model's gonna be like a speck of sand. 555 00:33:57,502 --> 00:33:59,237 HAWKING (off screen): Even on this scale, 556 00:33:59,303 --> 00:34:03,541 distances have now become too large to comprehend. 557 00:34:03,608 --> 00:34:06,644 We need to shrink our model sun from this... 558 00:34:08,079 --> 00:34:09,547 To this. 559 00:34:11,516 --> 00:34:14,619 CAT: Wow, this is our sun? 560 00:34:14,685 --> 00:34:19,090 From that big giant sun we had earlier is now this? 561 00:34:19,157 --> 00:34:22,060 JIM: Yeah. That little dot. 562 00:34:22,126 --> 00:34:25,730 (dramatic music) 563 00:34:25,797 --> 00:34:27,799 HAWKING (off screen): Even on this tiny scale, 564 00:34:27,865 --> 00:34:31,769 the distance between the tiny sun and our nearest star 565 00:34:31,836 --> 00:34:33,871 would be 17 miles. 566 00:34:37,408 --> 00:34:42,480 We can try and get a grip on this if we light a flare... 567 00:34:42,547 --> 00:34:45,650 17 miles away across the desert. 568 00:34:46,584 --> 00:34:49,220 -CAT: There it is. -JOY: Whoa. 569 00:34:49,287 --> 00:34:51,255 CAT: That is incredible. 570 00:34:51,322 --> 00:34:53,891 (ethereal choir) 571 00:34:53,958 --> 00:34:58,963 JOY (off screen): To see the nearest star so far away, when our sun is that small, 572 00:34:59,030 --> 00:35:02,700 was just amazing; it made me think about all the stars in the sky. 573 00:35:03,901 --> 00:35:06,637 These are the things that feel so familiar to us, 574 00:35:06,704 --> 00:35:08,406 but yet, we don't know anything about them. 575 00:35:10,274 --> 00:35:13,311 (dramatic music) 576 00:35:13,377 --> 00:35:16,547 ♪ ♪ 577 00:35:16,614 --> 00:35:19,217 HAWKING (off screen): After centuries of observations, 578 00:35:19,283 --> 00:35:22,787 we now know that our sun and its nearest neighbor 579 00:35:22,854 --> 00:35:28,059 Proxima Centauri are part of a small community of 33 stars, 580 00:35:28,126 --> 00:35:31,429 all within 15 light years of Earth. 581 00:35:33,998 --> 00:35:39,137 And this system sits in a network of an estimated 300 billion stars 582 00:35:39,203 --> 00:35:41,105 called the Milky Way. 583 00:35:41,172 --> 00:35:44,609 (dynamic music) 584 00:35:44,675 --> 00:35:49,247 ♪ ♪ 585 00:35:52,316 --> 00:35:55,419 And until recently, astronomers believed 586 00:35:55,486 --> 00:35:59,190 that this galaxy was the entire universe. 587 00:35:59,991 --> 00:36:04,529 That was the whole answer to the question "where are we?" 588 00:36:05,997 --> 00:36:10,668 Then in the 20th century, a new generation of telescopes 589 00:36:10,735 --> 00:36:13,471 allowed us to explore new formations. 590 00:36:15,439 --> 00:36:18,109 And they seemed to be much further away. 591 00:36:18,176 --> 00:36:19,710 JUNA (off screen): People had been seeing 592 00:36:19,777 --> 00:36:22,680 different smudgy patches of light on the sky, 593 00:36:22,747 --> 00:36:27,952 and they struggled with what these faint smudges on the sky actually are. 594 00:36:30,454 --> 00:36:35,560 HAWKING (off screen): Enter Edwin Hubble, 20th century American astronomer. 595 00:36:35,626 --> 00:36:40,565 Using this telescope at the Mount Wilson Observatory in California, 596 00:36:40,631 --> 00:36:43,534 he made a sensational discovery. 597 00:36:43,601 --> 00:36:48,372 He realized that these smudges were millions of light years from us. 598 00:36:48,439 --> 00:36:50,641 JUNA (off screen): It was Edwin Hubble's discovery 599 00:36:50,708 --> 00:36:53,811 of the distance to these smudgy patches 600 00:36:53,878 --> 00:36:57,481 that indicated that indeed, these were other galaxies 601 00:36:57,548 --> 00:37:01,185 just like the Milky Way at great distances from us. 602 00:37:02,853 --> 00:37:08,092 HAWKING (off screen): Hubble found that the sky was studded with distant galaxies, 603 00:37:08,159 --> 00:37:11,629 giant collections of stars, far beyond our own galaxy. 604 00:37:11,696 --> 00:37:13,497 JUNA (off screen): So this just shatters everything. 605 00:37:13,564 --> 00:37:16,400 It shatters the small Milky Way, and it shatters the notion 606 00:37:16,467 --> 00:37:19,804 that the universe can be contained in the Milky Way. 607 00:37:19,870 --> 00:37:22,540 Now these distances are just getting bigger and bigger. 608 00:37:25,376 --> 00:37:29,013 HAWKING (off screen): Distances are indeed becoming astronomical. 609 00:37:29,080 --> 00:37:33,184 Our next one is 2.5 million light years away. 610 00:37:34,452 --> 00:37:36,988 That's the distance between the Milky Way 611 00:37:37,054 --> 00:37:40,825 and our nearest galaxy, Andromeda. 612 00:37:47,598 --> 00:37:50,434 Now that we are talking galaxies, 613 00:37:50,501 --> 00:37:53,638 it's time to introduce a new scale model. 614 00:37:56,207 --> 00:37:58,876 Our next challenge is pretty simple. 615 00:37:59,844 --> 00:38:03,014 If we could fit our galaxy on a smartphone 616 00:38:03,080 --> 00:38:07,985 and Andromeda on a tablet, how far apart would they be? 617 00:38:08,052 --> 00:38:09,687 CAT: So these are our galaxies. 618 00:38:11,022 --> 00:38:12,223 JOY: This is the Milky Way, 619 00:38:12,290 --> 00:38:15,459 and this is our closest galaxy, Andromeda. 620 00:38:15,526 --> 00:38:19,263 (mysterious music) 621 00:38:19,330 --> 00:38:24,669 HAWKING (off screen): The Milky Way is 100,000 light years side to side. 622 00:38:24,735 --> 00:38:26,470 With that information, 623 00:38:26,537 --> 00:38:32,043 I want my volunteers to work out the distance between the two galaxies. 624 00:38:32,109 --> 00:38:38,282 CAT: So our Milky Way is 100,000 light years wide, 625 00:38:38,349 --> 00:38:43,120 and Andromeda is 2.5 million light years away. 626 00:38:43,187 --> 00:38:47,491 So on this scale, comparing this to this, 627 00:38:47,558 --> 00:38:51,629 how far away is this galaxy? 628 00:38:51,696 --> 00:38:54,632 JOY: So this is 100,000 light years across, 629 00:38:54,699 --> 00:38:58,669 and there's ten times that is a million, 630 00:38:58,736 --> 00:39:01,939 and so that's 2.5 million light years away. 631 00:39:02,006 --> 00:39:03,741 So that would make... 632 00:39:03,808 --> 00:39:06,210 -CAT (off screen): 25 of those. -JOY: 25 of these. 633 00:39:07,578 --> 00:39:09,814 Shall we measure it? 634 00:39:09,880 --> 00:39:12,049 One, two, three... 635 00:39:13,217 --> 00:39:15,319 25. 636 00:39:20,958 --> 00:39:22,159 JIM: That's it? 637 00:39:22,226 --> 00:39:26,230 CAT: That's it and that's our nearest galaxy. 638 00:39:30,835 --> 00:39:35,806 HAWKING (off screen): The Milky Way and Andromeda are just the start. 639 00:39:35,873 --> 00:39:38,576 They are surrounded by dozens of galaxies 640 00:39:38,642 --> 00:39:42,113 in the local galactic neighborhood, 641 00:39:42,179 --> 00:39:45,249 and it doesn't stop there. 642 00:39:45,316 --> 00:39:48,552 (exciting music) 643 00:39:48,619 --> 00:39:53,190 ♪ ♪ 644 00:39:53,257 --> 00:39:58,429 In 1990, the Hubble Space Telescope is launched. 645 00:40:05,369 --> 00:40:10,040 After a decade of observations, this picture is released, 646 00:40:10,107 --> 00:40:15,246 showing thousands of galaxies which stretch away into the far distance 647 00:40:15,312 --> 00:40:18,282 for up to 13 billion light years. 648 00:40:19,216 --> 00:40:22,653 And this is just a tiny part of the sky, 649 00:40:22,720 --> 00:40:26,791 like looking at a postage stamp from 100 feet away. 650 00:40:28,492 --> 00:40:31,695 JIM: My brain will never get around this. 651 00:40:31,762 --> 00:40:35,199 This is gonna take me weeks, the rest of my life maybe. 652 00:40:36,634 --> 00:40:39,804 HAWKING (off screen): In the desert, our volunteers have figured out 653 00:40:39,870 --> 00:40:42,773 distances around the Earth to our sun. 654 00:40:42,840 --> 00:40:44,241 JIM: It's like perfect right now. 655 00:40:45,743 --> 00:40:48,012 HAWKING (off screen): And across our solar system. 656 00:40:48,078 --> 00:40:50,014 JOY: The thing that will stick with me the most 657 00:40:50,080 --> 00:40:51,982 is just how tiny we are. 658 00:40:53,184 --> 00:40:55,853 HAWKING (off screen): Then out into our galaxy and beyond. 659 00:40:55,920 --> 00:40:57,421 -CAT: There it is. -JOY: Oh my gosh! 660 00:40:57,488 --> 00:41:01,525 CAT: In the grand scheme of things, we are infinitely small. 661 00:41:06,497 --> 00:41:10,968 HAWKING: And now, back on Earth, we return to our first question. 662 00:41:12,937 --> 00:41:14,939 Where are we? 663 00:41:17,541 --> 00:41:21,846 We have learned that our planet is a little sphere orbiting a star... 664 00:41:24,982 --> 00:41:28,919 In a modest neighborhood called the solar system. 665 00:41:28,986 --> 00:41:32,056 (mysterious music) 666 00:41:32,122 --> 00:41:34,358 ♪ ♪ 667 00:41:34,425 --> 00:41:38,529 We are surrounded by a local group of a few dozen stars, 668 00:41:38,596 --> 00:41:41,699 up to 50 light years distant. 669 00:41:41,765 --> 00:41:45,803 ♪ ♪ 670 00:41:45,870 --> 00:41:49,540 And we all occupy one little part of a spinning arm 671 00:41:49,607 --> 00:41:54,278 in a medium-sized galaxy known as the Milky Way. 672 00:41:54,345 --> 00:41:58,916 ♪ ♪ 673 00:41:58,983 --> 00:42:04,388 Along with more than 50 others, we form a local group of galaxies, 674 00:42:04,455 --> 00:42:07,758 10 million light years across. 675 00:42:07,825 --> 00:42:12,630 ♪ ♪ 676 00:42:12,696 --> 00:42:17,701 And together, we inhabit one corner of a vast collection of galaxies 677 00:42:17,768 --> 00:42:20,905 known as the Laniakea Supercluster. 678 00:42:23,374 --> 00:42:28,846 It's like a huge galactic city filled with hundreds of thousands of galaxies 679 00:42:28,913 --> 00:42:30,748 similar to our own. 680 00:42:33,250 --> 00:42:36,153 Grouped with many more millions of clusters, 681 00:42:36,220 --> 00:42:41,692 they form gigantic arms which stretch through the cosmos, 682 00:42:41,759 --> 00:42:45,029 the largest structures known to humanity. 683 00:42:45,095 --> 00:42:48,566 (epic music) 684 00:42:48,632 --> 00:42:53,804 ♪ ♪ 685 00:42:53,871 --> 00:42:58,842 And this is just one small corner of the observable universe... 686 00:42:58,909 --> 00:43:02,012 ♪ ♪ 687 00:43:02,079 --> 00:43:06,083 Which is billions of light years, side to side. 688 00:43:06,150 --> 00:43:12,823 ♪ ♪ 689 00:43:26,203 --> 00:43:29,974 ♪ ♪ 690 00:43:30,040 --> 00:43:33,143 Even though the distances are unimaginable, 691 00:43:33,210 --> 00:43:37,948 the fact that most people can understand such a universe 692 00:43:38,015 --> 00:43:42,219 does exist is a remarkable feat of the human mind. 693 00:43:42,286 --> 00:43:47,625 ♪ ♪ 694 00:43:47,691 --> 00:43:52,429 So now I hope you are beginning to realize that with a little bit of thinking, 695 00:43:52,496 --> 00:43:56,233 you have the genius to figure out where we are. 696 00:43:57,701 --> 00:43:59,703 Captioned by Captionmax 56867

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