1 00:00:04,160 --> 00:00:07,160 Speaker 1: Get in touch with technology with tech Stuff from how 2 00:00:07,240 --> 00:00:13,880 Speaker 1: stuff Works dot com. Hey there, and welcome to tech Stuff. 3 00:00:13,880 --> 00:00:17,320 Speaker 1: I'm your host, Jonathan Strickland. I'm an executive producer at 4 00:00:17,360 --> 00:00:20,960 Speaker 1: How Stuff Works and All Love All Things Tech. And 5 00:00:21,079 --> 00:00:25,120 Speaker 1: in my recent episode profile of alfred Ley Loomis, if 6 00:00:25,160 --> 00:00:28,200 Speaker 1: you haven't listened to that one it published last weeks ago, 7 00:00:28,280 --> 00:00:32,040 Speaker 1: check that out. I mentioned that Loomis was instrumental in 8 00:00:32,120 --> 00:00:36,800 Speaker 1: developing a technology called Lauren l O R A N. 9 00:00:36,800 --> 00:00:39,559 Speaker 1: And today I'm going to talk about that technology in 10 00:00:39,680 --> 00:00:43,879 Speaker 1: deeper detail and how it uses mathematics and radio signals 11 00:00:44,080 --> 00:00:47,400 Speaker 1: to help ships navigate far off the coast, or rather 12 00:00:47,760 --> 00:00:50,240 Speaker 1: how it used to do that, as the system has 13 00:00:50,240 --> 00:00:53,080 Speaker 1: since been phased out, but more on that later. I 14 00:00:53,120 --> 00:00:55,480 Speaker 1: do think that Lauren is pretty cool, and it does 15 00:00:55,520 --> 00:00:57,520 Speaker 1: give me a chance to talk about mathematics a little 16 00:00:57,560 --> 00:01:00,480 Speaker 1: bit now, as we'll discuss in this episode. I won't 17 00:01:00,520 --> 00:01:06,800 Speaker 1: go into incredible detail mathematically speaking, because it involves things 18 00:01:06,800 --> 00:01:10,000 Speaker 1: like hyperbolas, which are way easier to talk about with 19 00:01:10,040 --> 00:01:13,080 Speaker 1: the use of visual aids. However, first I should give 20 00:01:13,160 --> 00:01:16,880 Speaker 1: some background on laur Anne. In the nineteen forties, there 21 00:01:16,959 --> 00:01:21,240 Speaker 1: was no such thing as the Global Positioning System or GPS. 22 00:01:21,360 --> 00:01:24,600 Speaker 1: You could not turn on a computing device and activate 23 00:01:24,640 --> 00:01:26,959 Speaker 1: a helpful little app to see where you were on 24 00:01:27,000 --> 00:01:30,039 Speaker 1: the globe. No one had invented a rocket capable of 25 00:01:30,080 --> 00:01:33,360 Speaker 1: reaching orbit, let alone put a satellite out in space 26 00:01:33,400 --> 00:01:36,360 Speaker 1: at that point. Yet there was a need for reliable 27 00:01:36,440 --> 00:01:40,600 Speaker 1: navigation systems for ships and later on for aircraft. This 28 00:01:40,680 --> 00:01:44,040 Speaker 1: need was made more urgent when the Second World War began. 29 00:01:44,319 --> 00:01:47,360 Speaker 1: So you had different systems that were already in place, 30 00:01:47,880 --> 00:01:51,640 Speaker 1: but many of them relied upon the elements things like 31 00:01:51,760 --> 00:01:55,400 Speaker 1: seeing where the sun was and making measurements using something 32 00:01:55,440 --> 00:01:58,760 Speaker 1: like a sextant. You had ships even leading up into 33 00:01:58,760 --> 00:02:01,760 Speaker 1: World War Two that we're dependent upon these kind of systems, 34 00:02:02,080 --> 00:02:06,040 Speaker 1: and for commercial ships that didn't have the benefit of 35 00:02:06,160 --> 00:02:10,919 Speaker 1: military technology, this lasted even longer, and that was not 36 00:02:11,160 --> 00:02:15,800 Speaker 1: ideal by n It seemed the question wasn't if the 37 00:02:15,880 --> 00:02:18,519 Speaker 1: United States was going to be pulled into the Second 38 00:02:18,639 --> 00:02:22,639 Speaker 1: World War, but rather when. Because of this impending threat, 39 00:02:22,680 --> 00:02:27,320 Speaker 1: several important people urged President Franklin Roosevelt to form a 40 00:02:27,400 --> 00:02:31,320 Speaker 1: Special Scientific Council to head research and development projects in 41 00:02:31,360 --> 00:02:35,359 Speaker 1: science and technology that could be useful during wartime. Among 42 00:02:35,400 --> 00:02:39,240 Speaker 1: these people were Vanavar Bush, who served as scientific advisor 43 00:02:39,360 --> 00:02:43,480 Speaker 1: to the President. James Knant, who was president of Harvard 44 00:02:43,520 --> 00:02:46,240 Speaker 1: at the time, and Carl Compton, who was president of 45 00:02:46,440 --> 00:02:50,120 Speaker 1: m I. T. Roosevelt approved the plan, and the National 46 00:02:50,240 --> 00:02:54,639 Speaker 1: Defense Research Council, or in d r C was born. 47 00:02:55,240 --> 00:03:00,840 Speaker 1: The council looked at different technologies for detecting aircraft, often ships, 48 00:03:00,840 --> 00:03:04,680 Speaker 1: and decided that microwaves were the most promising. Lead Carl 49 00:03:04,760 --> 00:03:07,840 Speaker 1: Compton reached out to Alfred Lee Loomis to head up 50 00:03:07,880 --> 00:03:11,920 Speaker 1: a special committee called the Microwave Committee to look into 51 00:03:11,960 --> 00:03:15,160 Speaker 1: the matter. Loomis and his team determined that microwaves could 52 00:03:15,160 --> 00:03:18,079 Speaker 1: be ideal for a detecting aircraft, but that the US 53 00:03:18,120 --> 00:03:21,680 Speaker 1: had no technology capable of emitting microwaves in the frequency 54 00:03:21,760 --> 00:03:25,880 Speaker 1: range they desired and enough power to work properly. Meanwhile, 55 00:03:26,200 --> 00:03:30,360 Speaker 1: in Great Britain, scientists had developed a magnetron capable of 56 00:03:30,400 --> 00:03:34,680 Speaker 1: creating powerful microwaves in those frequencies. Great Britain sent a 57 00:03:34,720 --> 00:03:37,120 Speaker 1: group of scientists to the United States to try and 58 00:03:37,160 --> 00:03:41,040 Speaker 1: develop a radar system that could take advantage of this technology. 59 00:03:41,080 --> 00:03:44,440 Speaker 1: Sir Henry Tizard and his team brought over a cavity 60 00:03:44,520 --> 00:03:48,960 Speaker 1: magnetron and Loomis invited the UK scientists to meet with 61 00:03:49,120 --> 00:03:53,600 Speaker 1: the Microwave Committee. The committee convinced Compton to set aside 62 00:03:53,880 --> 00:03:57,000 Speaker 1: a space at m I T for research and development 63 00:03:57,000 --> 00:04:00,960 Speaker 1: with microwaves, and the m I T Radiation Laboratory or 64 00:04:01,120 --> 00:04:04,960 Speaker 1: rad Lab was born. Now, the reason they chose the 65 00:04:05,000 --> 00:04:09,360 Speaker 1: name Radiation Laboratory was pretty interesting. It was all a 66 00:04:09,400 --> 00:04:14,160 Speaker 1: matter of deception of misdirection. The lab did not want 67 00:04:14,200 --> 00:04:18,240 Speaker 1: anyone associated with the Access powers to find out what 68 00:04:18,279 --> 00:04:22,120 Speaker 1: they were working on, so the Allies could maintain an 69 00:04:22,160 --> 00:04:25,480 Speaker 1: advantage during the war, especially when it came to navigation 70 00:04:25,480 --> 00:04:29,040 Speaker 1: and detection of aircraft and other vessels. So to that 71 00:04:29,240 --> 00:04:34,320 Speaker 1: end they chose the name Radiation Laboratory for a siwhat 72 00:04:34,320 --> 00:04:37,920 Speaker 1: paradoxical reason, or at least in retrospect, it seems paradoxical. 73 00:04:38,600 --> 00:04:41,440 Speaker 1: It made it sound as though the lab was investigating 74 00:04:41,760 --> 00:04:45,920 Speaker 1: nuclear science, as in things like nuclear power and potentially 75 00:04:45,920 --> 00:04:49,960 Speaker 1: a nuclear bomb. Not At the time, the prevailing feeling 76 00:04:50,080 --> 00:04:53,680 Speaker 1: was that nuclear science was such a young discipline that 77 00:04:53,720 --> 00:04:56,240 Speaker 1: would take too long to make any advances in the 78 00:04:56,279 --> 00:04:59,320 Speaker 1: field that could possibly have an effect during the war, 79 00:04:59,800 --> 00:05:02,359 Speaker 1: and and so they chose to disguise their efforts to 80 00:05:02,400 --> 00:05:06,240 Speaker 1: advance radar technology by claiming to be a nuclear science lab, 81 00:05:06,560 --> 00:05:08,919 Speaker 1: which I think is pretty wild, especially when you consider 82 00:05:09,240 --> 00:05:12,279 Speaker 1: that the actual end of World War Two would be 83 00:05:12,440 --> 00:05:15,480 Speaker 1: in large part due to the development of nuclear weapons. 84 00:05:15,880 --> 00:05:20,240 Speaker 1: The lab made significant contributions to science and technology, with 85 00:05:20,440 --> 00:05:25,880 Speaker 1: numerous practical applications. Among them was the Long Range Navigation 86 00:05:25,920 --> 00:05:29,200 Speaker 1: System or LAUREN. Now, the story of LAUREN really gets 87 00:05:29,240 --> 00:05:33,200 Speaker 1: going on October first, nineteen forty, when the Army Signal 88 00:05:33,320 --> 00:05:36,760 Speaker 1: Technical Committee met to create requirements for what it called 89 00:05:37,040 --> 00:05:41,960 Speaker 1: a precision navigational equipment for guiding airplanes. The committee was 90 00:05:42,000 --> 00:05:44,840 Speaker 1: asking for a means to provide navigational assistance from a 91 00:05:44,880 --> 00:05:48,480 Speaker 1: distance of five hundred miles, a flight ceiling of thirty 92 00:05:48,480 --> 00:05:52,279 Speaker 1: five thousand feet, and inaccuracy of within one thousand feet 93 00:05:52,360 --> 00:05:55,320 Speaker 1: at two hundred miles out. In other words, a planes 94 00:05:55,400 --> 00:05:58,240 Speaker 1: navigator should be able to determine the planes position within 95 00:05:58,360 --> 00:06:01,400 Speaker 1: one thousand feet of its act tool position while still 96 00:06:01,400 --> 00:06:04,120 Speaker 1: two hundred miles out from the radio transmitters that are 97 00:06:04,160 --> 00:06:07,640 Speaker 1: beaming signals to the plane. Alfred Lee Loomis had a 98 00:06:07,680 --> 00:06:12,760 Speaker 1: proposal to meet these requirements. He thought that this would 99 00:06:12,760 --> 00:06:16,560 Speaker 1: originally be used for ships, not for aircraft because it 100 00:06:16,600 --> 00:06:20,600 Speaker 1: would require building special receivers, and at the time, there 101 00:06:20,760 --> 00:06:23,640 Speaker 1: wasn't really a practical way of building a receiver small 102 00:06:23,760 --> 00:06:27,000 Speaker 1: enough to fit on an aircraft, which already had a 103 00:06:27,080 --> 00:06:29,960 Speaker 1: pretty strict limit on how much weight and how much 104 00:06:30,000 --> 00:06:33,159 Speaker 1: space was available in them. Loomis had a clever idea 105 00:06:33,200 --> 00:06:39,159 Speaker 1: that involved pairs of radio transmitting stations sending out synchronized signals. 106 00:06:39,200 --> 00:06:42,240 Speaker 1: A receiver aboard a ship would pick up these signals, 107 00:06:42,279 --> 00:06:45,880 Speaker 1: and by measuring the delay between the two signals, you 108 00:06:45,920 --> 00:06:49,360 Speaker 1: could figure out your basic distance from the two transmitters. 109 00:06:49,400 --> 00:06:53,400 Speaker 1: With a second pair of transmitters or a third transmitting tower, 110 00:06:53,760 --> 00:06:56,640 Speaker 1: you could figure out your actual position. And it all 111 00:06:56,760 --> 00:07:00,520 Speaker 1: had to do with the formulas for hyperbolas, which is 112 00:07:00,520 --> 00:07:05,159 Speaker 1: why laura and is also known as a hyperbolic navigation system. Now, 113 00:07:05,160 --> 00:07:07,800 Speaker 1: I know all the mathematicians out there already have a 114 00:07:07,800 --> 00:07:10,680 Speaker 1: firm grasp of what a hyperbola is, but for some 115 00:07:10,760 --> 00:07:14,760 Speaker 1: of us we might need some instruction or refresher It's 116 00:07:14,800 --> 00:07:18,080 Speaker 1: been more than twenty years since I took a mathematics course, 117 00:07:18,400 --> 00:07:21,520 Speaker 1: and I needed a little reminder for myself. So here 118 00:07:21,520 --> 00:07:26,520 Speaker 1: we go. Hyperbola is a symmetrical open curve that represents 119 00:07:26,560 --> 00:07:30,160 Speaker 1: this set of points in a plane whose distances to 120 00:07:30,400 --> 00:07:34,080 Speaker 1: two fixed points called folk i in that same plane 121 00:07:34,320 --> 00:07:38,600 Speaker 1: have a constant difference. So by a symmetrical open curve 122 00:07:38,640 --> 00:07:41,520 Speaker 1: we mean you have two curved lines called branches or 123 00:07:41,640 --> 00:07:45,640 Speaker 1: connected components. They are symmetrical, so they are mirror images 124 00:07:45,800 --> 00:07:48,600 Speaker 1: of each other, with the open side of the curves 125 00:07:48,720 --> 00:07:52,120 Speaker 1: facing outward from each other. They look kind of like 126 00:07:52,240 --> 00:07:56,320 Speaker 1: infinite bows. As the arms extend out from the center 127 00:07:56,360 --> 00:07:59,480 Speaker 1: of the hyperbola, which is called the vert vertex the 128 00:07:59,560 --> 00:08:03,400 Speaker 1: verticey ease of the hyperbola, they become less curved. So 129 00:08:03,440 --> 00:08:06,200 Speaker 1: the further out the lines go, the more straight they appear. 130 00:08:06,840 --> 00:08:10,160 Speaker 1: The two fixed points or foci, are each on the 131 00:08:10,240 --> 00:08:14,480 Speaker 1: inside of one of those curves or branches. Now remember 132 00:08:14,520 --> 00:08:17,360 Speaker 1: the branches represent a set of points. If you were 133 00:08:17,400 --> 00:08:21,200 Speaker 1: to select any of those points along one of the curves, 134 00:08:21,560 --> 00:08:24,080 Speaker 1: you can measure the distance between that point and the 135 00:08:24,120 --> 00:08:27,200 Speaker 1: two foci. The point will be closer to its own 136 00:08:27,280 --> 00:08:30,400 Speaker 1: focus than the focus of the other curve, and you 137 00:08:30,440 --> 00:08:33,800 Speaker 1: subtract one distance from the other and you take the 138 00:08:33,800 --> 00:08:36,360 Speaker 1: absolute value, meaning you make it a positive value. So 139 00:08:36,679 --> 00:08:38,640 Speaker 1: if it would have been negative, you change it to 140 00:08:38,679 --> 00:08:42,880 Speaker 1: a positive You will then find the constant for that hyperbola. 141 00:08:43,440 --> 00:08:45,760 Speaker 1: If you were to pick any other point on that 142 00:08:45,920 --> 00:08:49,120 Speaker 1: same curve and repeat this process where you measure the 143 00:08:49,160 --> 00:08:52,080 Speaker 1: distance between that point and the FOLCA and it's foci 144 00:08:52,520 --> 00:08:54,640 Speaker 1: and that point and the folk I of the other curve, 145 00:08:54,880 --> 00:08:57,920 Speaker 1: and then subtract the two, you would still arrive at 146 00:08:57,960 --> 00:09:01,600 Speaker 1: that same value. That woman, you take the absolute value. 147 00:09:02,040 --> 00:09:04,520 Speaker 1: The folk I are in a position relative to the curves, 148 00:09:04,559 --> 00:09:07,080 Speaker 1: so that the difference between the distance of any point 149 00:09:07,120 --> 00:09:09,640 Speaker 1: on the curves and the folk I will always be 150 00:09:09,840 --> 00:09:13,760 Speaker 1: the same. The curves thus represent a selection of possible 151 00:09:13,880 --> 00:09:19,040 Speaker 1: locations from the perspective of the folk I. Now that's 152 00:09:19,080 --> 00:09:22,800 Speaker 1: the secret behind Lauren. But how well I'll tell you. 153 00:09:23,160 --> 00:09:34,880 Speaker 1: But first let's take a quick break to thank our sponsor. Okay, 154 00:09:34,920 --> 00:09:39,480 Speaker 1: So imagine you've got a coastline, and along this coastline 155 00:09:39,760 --> 00:09:43,200 Speaker 1: you have transmitting towers that are paired together so that 156 00:09:43,280 --> 00:09:47,720 Speaker 1: they send out a pulse of signals in perfect synchronization. 157 00:09:48,360 --> 00:09:50,880 Speaker 1: If you were on a boat out at sea equa 158 00:09:51,040 --> 00:09:54,559 Speaker 1: distant from the two towers, you would receive both sets 159 00:09:54,559 --> 00:09:58,200 Speaker 1: of signals at exactly the same time. But let's say 160 00:09:58,280 --> 00:10:01,240 Speaker 1: you're a little closer to Tower A than you are 161 00:10:01,520 --> 00:10:04,880 Speaker 1: from Tower B. What happens then, Well, Tower A and 162 00:10:04,920 --> 00:10:08,520 Speaker 1: Tower B send out their signals at exactly the same time. 163 00:10:08,559 --> 00:10:12,240 Speaker 1: It is synchronized, so you would receive Tower a's signals 164 00:10:12,320 --> 00:10:16,920 Speaker 1: a little bit earlier than you would receive Tower b's signals. 165 00:10:17,160 --> 00:10:20,080 Speaker 1: That's because the signals from Tower B have to travel 166 00:10:20,280 --> 00:10:23,720 Speaker 1: further than the signals from Tower A, and the signals 167 00:10:23,760 --> 00:10:26,600 Speaker 1: are traveling at a constant rate of speed. So what 168 00:10:26,800 --> 00:10:30,880 Speaker 1: speed is that, Well, it's the speed of light, because 169 00:10:31,520 --> 00:10:35,840 Speaker 1: radio waves are electromagnetic radiation, as is light now in 170 00:10:35,880 --> 00:10:39,280 Speaker 1: our atmosphere, because light does travel at different speeds through 171 00:10:39,320 --> 00:10:42,240 Speaker 1: different media. In the vacuum of space, it's one speed. 172 00:10:42,280 --> 00:10:47,440 Speaker 1: But in our atmosphere light travels at two thousand seven 173 00:10:47,920 --> 00:10:50,760 Speaker 1: kilometers per second. I'm really going to focus on kilometers 174 00:10:50,760 --> 00:10:52,800 Speaker 1: for this. It makes it easier in the long run. 175 00:10:52,960 --> 00:10:55,640 Speaker 1: So it's not like there would be a long delay 176 00:10:55,760 --> 00:10:58,720 Speaker 1: between the two incoming signals. I mean that that speed. 177 00:10:59,240 --> 00:11:02,079 Speaker 1: Unless you are really far away, you wouldn't be able 178 00:11:02,440 --> 00:11:04,800 Speaker 1: to have a massive delay between the two. And if 179 00:11:04,800 --> 00:11:06,319 Speaker 1: you were really far away, you wouldn't be able to 180 00:11:06,320 --> 00:11:09,480 Speaker 1: pick up the signals in the first place. So, uh, 181 00:11:09,520 --> 00:11:12,880 Speaker 1: we're talking about a delay that's measurable in micro seconds, 182 00:11:13,320 --> 00:11:16,240 Speaker 1: but with a Loran receiver that's long enough to do 183 00:11:16,280 --> 00:11:21,120 Speaker 1: some serious calculations. Now, the two towers that are transmitting 184 00:11:21,520 --> 00:11:25,160 Speaker 1: represent the foci of a hyperbola. So you're on this 185 00:11:25,240 --> 00:11:27,960 Speaker 1: boat and your receiver picks up that you're getting the 186 00:11:28,000 --> 00:11:31,400 Speaker 1: signals from Tower A let's say about two hundred micro 187 00:11:31,520 --> 00:11:34,520 Speaker 1: seconds before you get the signals from tower B, so 188 00:11:34,600 --> 00:11:37,600 Speaker 1: you are closer to Tower A by a factor of 189 00:11:37,600 --> 00:11:40,439 Speaker 1: two hundred micro seconds. You also happen to know how 190 00:11:40,480 --> 00:11:44,560 Speaker 1: far apart Tower A and Tower B R because that's 191 00:11:44,600 --> 00:11:46,280 Speaker 1: part of the whole system. You have to know the 192 00:11:46,320 --> 00:11:50,160 Speaker 1: location of the transmitting towers and their distance relative to 193 00:11:50,200 --> 00:11:52,880 Speaker 1: each other. Otherwise you don't have enough information to make 194 00:11:52,960 --> 00:11:57,080 Speaker 1: any important determinations, and that information is freely available to 195 00:11:57,080 --> 00:12:01,000 Speaker 1: anyone who's part of the Louran system. So you know 196 00:12:01,120 --> 00:12:04,560 Speaker 1: the physical distance that separates these two folk i from 197 00:12:04,559 --> 00:12:08,000 Speaker 1: each other along the coast. Using those pieces of information, 198 00:12:08,200 --> 00:12:11,200 Speaker 1: you can actually plot the hyperbola curves. So let's say 199 00:12:11,240 --> 00:12:14,599 Speaker 1: the two towers are four kilometers apart. The speed of 200 00:12:14,640 --> 00:12:18,760 Speaker 1: the radio waves is point to nine nine seven nine 201 00:12:18,760 --> 00:12:22,440 Speaker 1: two kilometers per micro second, and the difference between the 202 00:12:22,520 --> 00:12:26,400 Speaker 1: two sets of pulses was two hundred microseconds. We can 203 00:12:26,440 --> 00:12:30,440 Speaker 1: calculate the constant of this hyperbola by using the equation 204 00:12:30,880 --> 00:12:35,680 Speaker 1: distance equals rate times time. The rate is the rate 205 00:12:35,760 --> 00:12:39,199 Speaker 1: of the radio waves that's point to nine nine seven 206 00:12:39,280 --> 00:12:42,760 Speaker 1: nine two kilometers per microsecond, and the amount of time 207 00:12:42,800 --> 00:12:46,360 Speaker 1: that passes is two dred microseconds. That gives us fifty 208 00:12:46,480 --> 00:12:49,880 Speaker 1: nine point nine five eight four kilometers. So let's just 209 00:12:49,960 --> 00:12:52,840 Speaker 1: round it up. We're gonna call it sixty kilometers. That's 210 00:12:52,880 --> 00:12:56,800 Speaker 1: your constant. Any point along the hyperbola will have a 211 00:12:56,840 --> 00:13:00,840 Speaker 1: difference in distances from the two folk i of about 212 00:13:01,120 --> 00:13:04,280 Speaker 1: sixty kilometers. Now, that still doesn't tell you where you 213 00:13:04,320 --> 00:13:06,840 Speaker 1: are in relation to anything else. It just tells you 214 00:13:06,880 --> 00:13:12,480 Speaker 1: the relationship between the difference in distances between the two transmitters. However, 215 00:13:13,040 --> 00:13:17,000 Speaker 1: knowing the constant gives you enough information to suss out 216 00:13:17,040 --> 00:13:20,280 Speaker 1: the rest of the equation for the hyperbola. The equation 217 00:13:20,320 --> 00:13:23,080 Speaker 1: for an east west hyperbola. So if you were to 218 00:13:23,080 --> 00:13:26,320 Speaker 1: plot this on the old X Y axis, you know, 219 00:13:26,440 --> 00:13:29,040 Speaker 1: a good old grid, then this would be the ones 220 00:13:29,080 --> 00:13:32,199 Speaker 1: that would face left and right, a north south hyperbola 221 00:13:32,280 --> 00:13:35,360 Speaker 1: would face up and down along the y axis as 222 00:13:35,360 --> 00:13:38,680 Speaker 1: opposed to left and right along the X axis. So 223 00:13:38,920 --> 00:13:41,599 Speaker 1: when you plot and east west hyperbola on an x 224 00:13:41,720 --> 00:13:46,400 Speaker 1: y axis, the equation for a hyperbola is X squared 225 00:13:46,800 --> 00:13:51,520 Speaker 1: divided by A squared minus Y squared divided by B 226 00:13:51,720 --> 00:13:57,920 Speaker 1: squared equals one. That's your your hyperbola equation. Now, if 227 00:13:57,960 --> 00:14:00,440 Speaker 1: this were an up down a north south hype perbola, 228 00:14:00,760 --> 00:14:03,760 Speaker 1: you would actually have Y squared over A squared minus 229 00:14:03,960 --> 00:14:07,000 Speaker 1: X squared over B squared equals one. Just a little 230 00:14:07,160 --> 00:14:09,680 Speaker 1: bit of mathematics for you. The A, by the way, 231 00:14:09,960 --> 00:14:14,439 Speaker 1: represents the vertices. The that would be the the center 232 00:14:14,600 --> 00:14:19,040 Speaker 1: of the hyperbola. That that point where it has the 233 00:14:19,120 --> 00:14:22,000 Speaker 1: curve where it curves around the very center of that 234 00:14:22,080 --> 00:14:25,120 Speaker 1: is the the of Both of those curves are the vertices, 235 00:14:25,720 --> 00:14:29,600 Speaker 1: and the B represents the covertices. Describing that as a 236 00:14:29,640 --> 00:14:32,720 Speaker 1: little more tricky without visual aids. So just go with 237 00:14:32,760 --> 00:14:36,600 Speaker 1: me on this if you want to really understand what 238 00:14:36,640 --> 00:14:39,640 Speaker 1: this is. There's a video I highly recommend. I found 239 00:14:39,640 --> 00:14:42,720 Speaker 1: it extremely useful. The video that you can find is 240 00:14:42,760 --> 00:14:45,720 Speaker 1: on YouTube. I have no connection to the person who 241 00:14:45,720 --> 00:14:48,280 Speaker 1: makes this video or the company that makes this video. 242 00:14:48,440 --> 00:14:50,520 Speaker 1: I just found it very useful. The title of the 243 00:14:50,600 --> 00:14:54,720 Speaker 1: video is applying hyperbola as navigation, and it's by think 244 00:14:54,800 --> 00:14:58,280 Speaker 1: Well VIDs, and you can see this applied specifically for 245 00:14:58,360 --> 00:15:01,000 Speaker 1: the purposes of navigation. That even use an example very 246 00:15:01,000 --> 00:15:03,640 Speaker 1: similar to what I'm talking about, although he uses miles 247 00:15:03,760 --> 00:15:07,120 Speaker 1: rather than kilometers. Uh. If you check that out, you'll 248 00:15:07,120 --> 00:15:09,640 Speaker 1: be able to see this in action, and it'll be 249 00:15:09,720 --> 00:15:13,440 Speaker 1: much easier for you to visualize since I'm working just 250 00:15:13,520 --> 00:15:16,720 Speaker 1: from an audio format here. The point being that once 251 00:15:16,760 --> 00:15:19,640 Speaker 1: you figure out the equation for the hyperbola, you can 252 00:15:19,640 --> 00:15:23,200 Speaker 1: plot out all those points on a map that have 253 00:15:23,480 --> 00:15:28,880 Speaker 1: this this constant this constant difference of of distances between 254 00:15:28,880 --> 00:15:31,680 Speaker 1: the two folki. So you get that curved line that 255 00:15:31,800 --> 00:15:35,520 Speaker 1: represents all of those physical points on the map. We 256 00:15:35,680 --> 00:15:40,440 Speaker 1: call this the Loran line of position. By itself, that 257 00:15:40,480 --> 00:15:44,240 Speaker 1: information isn't that useful because you don't know exactly where 258 00:15:44,360 --> 00:15:47,640 Speaker 1: along that line your position is. You just know that 259 00:15:47,680 --> 00:15:50,360 Speaker 1: it has to be one of those points. Based on 260 00:15:50,400 --> 00:15:54,720 Speaker 1: the math, you could be anywhere along that curve. Well, 261 00:15:54,760 --> 00:15:57,120 Speaker 1: if you're on a boat, you would presumably be anywhere 262 00:15:57,120 --> 00:16:00,680 Speaker 1: out over the ocean, because if the curve extends out 263 00:16:00,720 --> 00:16:04,080 Speaker 1: over the land, you probably aren't there if you're in 264 00:16:04,120 --> 00:16:06,720 Speaker 1: a boat. If you are there, then you don't really 265 00:16:06,760 --> 00:16:09,200 Speaker 1: need to worry about your position so much, because chances 266 00:16:09,200 --> 00:16:12,800 Speaker 1: are it's not really changing. Boats don't move well on land. 267 00:16:13,400 --> 00:16:16,800 Speaker 1: What you need now is either a third tower that's 268 00:16:16,840 --> 00:16:21,640 Speaker 1: pulsing the same synchronized signal, or, as the original design 269 00:16:21,640 --> 00:16:25,880 Speaker 1: of Laurent intended, a second pair of transmitting towers. So 270 00:16:25,920 --> 00:16:28,760 Speaker 1: with a third tower, let's remember our first two towers 271 00:16:28,760 --> 00:16:31,440 Speaker 1: were Towers A and B. Uh this would be Tower C. 272 00:16:32,000 --> 00:16:35,040 Speaker 1: You would run the same calculations with regard to the 273 00:16:35,080 --> 00:16:38,960 Speaker 1: ship and Tower A. That will produce a second hyperbola, 274 00:16:39,280 --> 00:16:42,320 Speaker 1: one in which the curve of that second hyperbola will 275 00:16:42,360 --> 00:16:46,320 Speaker 1: intersect with the curve from the first hyperbola. If you 276 00:16:46,360 --> 00:16:48,800 Speaker 1: were using a second pair of towers, we'll call these 277 00:16:48,800 --> 00:16:51,440 Speaker 1: towers D and E, you would repeat the process you 278 00:16:51,480 --> 00:16:54,040 Speaker 1: did for Towers A and B, measuring the difference in 279 00:16:54,080 --> 00:16:56,480 Speaker 1: time it takes towers Tower D signal to get to 280 00:16:56,480 --> 00:16:58,800 Speaker 1: you compared to Tower E signal. That would let you 281 00:16:58,840 --> 00:17:01,440 Speaker 1: plot out a second hyper bluff, and you would still 282 00:17:01,480 --> 00:17:04,480 Speaker 1: see a second set of points representing your possible location. 283 00:17:04,960 --> 00:17:08,679 Speaker 1: More importantly, they would intersect with your first set of points, 284 00:17:08,720 --> 00:17:12,280 Speaker 1: and it's at that intersection where the two lines cross 285 00:17:12,920 --> 00:17:16,560 Speaker 1: that your location would have to be. That's the only 286 00:17:16,600 --> 00:17:21,120 Speaker 1: place your ship could be, because the mathematics would tell 287 00:17:21,160 --> 00:17:24,320 Speaker 1: you that you have to exist along both of these 288 00:17:24,320 --> 00:17:29,199 Speaker 1: curved lines simultaneously, and they only intersect at one point. 289 00:17:29,240 --> 00:17:32,879 Speaker 1: That point is your location. So by using a Loran 290 00:17:33,000 --> 00:17:37,080 Speaker 1: receiver and taking in transmissions from different towers and applying 291 00:17:37,080 --> 00:17:39,720 Speaker 1: a little math, you can figure out exactly where you 292 00:17:39,720 --> 00:17:42,560 Speaker 1: are out in the ocean, even if land isn't in 293 00:17:42,680 --> 00:17:45,640 Speaker 1: sight and the sky is overcast. By sending out these 294 00:17:45,680 --> 00:17:48,720 Speaker 1: pulses with identify irs, you'll know where you are in 295 00:17:48,800 --> 00:17:52,119 Speaker 1: relation to where you're headed and can make course corrections 296 00:17:52,160 --> 00:17:54,640 Speaker 1: and take the measures to pilot your ships safely toward 297 00:17:54,680 --> 00:17:58,920 Speaker 1: its destination. This is particularly useful during wart wartime, when 298 00:17:59,359 --> 00:18:02,119 Speaker 1: you might have to worry about enemy ships patrolling certain 299 00:18:02,160 --> 00:18:05,200 Speaker 1: areas of the seas and being able to navigate around them. Now, 300 00:18:05,240 --> 00:18:08,800 Speaker 1: the theory behind Lauren was solid. The math works. The 301 00:18:08,880 --> 00:18:12,320 Speaker 1: trick then was to make it a practical technology. Knowing 302 00:18:12,359 --> 00:18:14,600 Speaker 1: that the theory was sound was one thing, but to 303 00:18:14,680 --> 00:18:17,120 Speaker 1: put it into practice to actually build stuff that could 304 00:18:17,240 --> 00:18:19,800 Speaker 1: use it. That was another and that presented a bit 305 00:18:19,800 --> 00:18:22,080 Speaker 1: of a challenge. If the committee could find a way 306 00:18:22,080 --> 00:18:26,160 Speaker 1: to synchronize transmissions from radio towers hundreds of miles apart, 307 00:18:26,600 --> 00:18:30,560 Speaker 1: the scheme would work. But that synchronization was absolutely critical 308 00:18:30,720 --> 00:18:33,440 Speaker 1: because without it, the difference in time between the two 309 00:18:33,480 --> 00:18:37,000 Speaker 1: signals would be meaningless. The receiver would have no way 310 00:18:37,000 --> 00:18:40,520 Speaker 1: of knowing the relationship between time and distance if the 311 00:18:40,520 --> 00:18:43,719 Speaker 1: two sets of signals weren't sent out at exactly the 312 00:18:43,760 --> 00:18:47,440 Speaker 1: same time. The team requested about four hundred thousand dollars 313 00:18:47,440 --> 00:18:51,879 Speaker 1: worth of equipment on December uh well in December, in 314 00:18:52,040 --> 00:18:54,679 Speaker 1: order to carry out an experimental run to determine if 315 00:18:54,680 --> 00:18:59,080 Speaker 1: the mathematically attractive solution was actually feasible in the real world. 316 00:18:59,400 --> 00:19:02,520 Speaker 1: And if we just that four hundred thousand dollars for inflation, 317 00:19:02,960 --> 00:19:06,040 Speaker 1: that would be about seven point two million dollars worth 318 00:19:06,080 --> 00:19:09,640 Speaker 1: of stuff in today's money. The team looked for suitable 319 00:19:09,640 --> 00:19:12,919 Speaker 1: spots to construct the transmission towers, and at first they 320 00:19:13,160 --> 00:19:16,280 Speaker 1: they considered some mountain peaks along the coast, but then 321 00:19:16,320 --> 00:19:20,560 Speaker 1: they found two former Coastguard lifeboat stations that had fallen 322 00:19:20,600 --> 00:19:25,000 Speaker 1: into disuse. One was outside Montauk Point, Long Island and 323 00:19:25,040 --> 00:19:28,520 Speaker 1: the other off of Fenwick Island, Delaware. The two locations 324 00:19:28,520 --> 00:19:31,479 Speaker 1: were two d nine nautical miles apart from one another, 325 00:19:31,760 --> 00:19:34,480 Speaker 1: and they weren't too far from the headquarters for the project, 326 00:19:34,600 --> 00:19:37,640 Speaker 1: which was in the Bell Telephone Laboratories in New York. 327 00:19:38,160 --> 00:19:42,960 Speaker 1: The earliest tests concentrated not on synchronization, which was an 328 00:19:42,960 --> 00:19:46,240 Speaker 1: area that Alfred Lee Loomis was particularly intrigued by as 329 00:19:46,240 --> 00:19:49,720 Speaker 1: he had a fascination with timekeeping, but rather in how 330 00:19:49,800 --> 00:19:53,479 Speaker 1: far they could broadcast the radio signals. They tried several 331 00:19:53,520 --> 00:19:56,960 Speaker 1: different wavelengths to see which ones could perform best under 332 00:19:57,000 --> 00:20:00,639 Speaker 1: different situations, and they discovered that longer wave length radio 333 00:20:00,680 --> 00:20:04,359 Speaker 1: waves seemed to travel further at night, and shorter ones 334 00:20:04,480 --> 00:20:07,680 Speaker 1: seemed to travel further during daylight hours, and that kind 335 00:20:07,680 --> 00:20:10,000 Speaker 1: of suggested to them that maybe they should compromise and 336 00:20:10,040 --> 00:20:13,080 Speaker 1: go with a medium wave length signal that would perform 337 00:20:13,160 --> 00:20:17,479 Speaker 1: the best under most circumstances. They also did not test 338 00:20:17,520 --> 00:20:20,720 Speaker 1: it with a ship at sea at first. Rather, they 339 00:20:20,760 --> 00:20:24,080 Speaker 1: created a Loran receiver and they mounted it aboard a 340 00:20:24,200 --> 00:20:28,800 Speaker 1: humble station wagon that traveled as far away as Springfield, Missouri. 341 00:20:29,160 --> 00:20:31,639 Speaker 1: Now I have to say more about the development of 342 00:20:31,720 --> 00:20:34,480 Speaker 1: Lauren in just a second, but first let's take another 343 00:20:34,560 --> 00:20:44,960 Speaker 1: quick break to thank our sponsor. As work continued on 344 00:20:45,000 --> 00:20:47,080 Speaker 1: the lor End project, the group began to work on 345 00:20:47,080 --> 00:20:51,359 Speaker 1: a way to synchronize signals, because without synchronization, these equations 346 00:20:51,400 --> 00:20:54,400 Speaker 1: are not going to create an accurate hyperbola. The solution 347 00:20:54,520 --> 00:20:58,639 Speaker 1: was called a two trace indicator technique. A trace is 348 00:20:58,680 --> 00:21:02,040 Speaker 1: a type of log or record of events. A common 349 00:21:02,080 --> 00:21:05,040 Speaker 1: reference time acts as the anchor point for the traces, 350 00:21:05,280 --> 00:21:07,960 Speaker 1: which can then be analyzed against each other to determine 351 00:21:08,000 --> 00:21:11,960 Speaker 1: how close to synchronicity the two transmitters are and adjustments 352 00:21:11,960 --> 00:21:16,560 Speaker 1: can be made. Eventually, they created a time keeping algorithm 353 00:21:16,600 --> 00:21:19,600 Speaker 1: that was accurate enough that were in a wrist watch, 354 00:21:20,000 --> 00:21:22,480 Speaker 1: you could go for a full decade without losing a 355 00:21:22,560 --> 00:21:27,840 Speaker 1: minute on it. By January ninety two, the project was 356 00:21:27,880 --> 00:21:30,359 Speaker 1: able to create a system that had an average error 357 00:21:30,400 --> 00:21:32,720 Speaker 1: in the line of position of about two and a 358 00:21:32,800 --> 00:21:36,359 Speaker 1: half miles or around four kilometers, which sounds like an 359 00:21:36,400 --> 00:21:38,879 Speaker 1: awful lot, but when you're thinking about the distances that 360 00:21:38,960 --> 00:21:42,960 Speaker 1: these various craft were traveling, it was actually pretty good. 361 00:21:43,359 --> 00:21:46,640 Speaker 1: The remaining challenge was one that was solved relatively easily, 362 00:21:46,920 --> 00:21:50,080 Speaker 1: The problem was the receivers would pick up two signals 363 00:21:50,119 --> 00:21:54,679 Speaker 1: of different amplitudes, meaning different strength of signal, and the 364 00:21:54,720 --> 00:21:57,359 Speaker 1: difference in amplitudes made it more difficult to measure the 365 00:21:57,440 --> 00:22:01,000 Speaker 1: time difference between the signals accurately. So to fix this, 366 00:22:01,280 --> 00:22:05,120 Speaker 1: the team built in differential gain control to help boost 367 00:22:05,160 --> 00:22:07,960 Speaker 1: a low signal or dampen a powerful one, so that 368 00:22:08,000 --> 00:22:11,919 Speaker 1: the calculations could be made more easily. Successful tests with 369 00:22:12,000 --> 00:22:15,520 Speaker 1: ships and blimps convinced the U. S. Army and Navy 370 00:22:15,600 --> 00:22:18,840 Speaker 1: to fund the construction of transmission stations for a larger 371 00:22:18,880 --> 00:22:23,280 Speaker 1: tests in the Northwest Atlantic in nineteen two. Work continued 372 00:22:23,320 --> 00:22:27,280 Speaker 1: in America, Canada, and Greenland to build out transmission stations. 373 00:22:27,600 --> 00:22:31,040 Speaker 1: The project was a success, and work soon extended to 374 00:22:31,080 --> 00:22:33,480 Speaker 1: other parts of the coast, as well as over in 375 00:22:33,560 --> 00:22:37,000 Speaker 1: the UK. The application proved to be a sound one. 376 00:22:37,520 --> 00:22:41,000 Speaker 1: Advancements in receiver technology allowed aircraft to use the same 377 00:22:41,040 --> 00:22:44,480 Speaker 1: system a little bit later, which became incredibly useful during 378 00:22:44,520 --> 00:22:47,800 Speaker 1: the war. Planes and ships could meet at rendezvous points 379 00:22:47,800 --> 00:22:50,400 Speaker 1: that previously have been would have been impossible to achieve. 380 00:22:50,920 --> 00:22:54,480 Speaker 1: Uh they were able to pair together different navigation systems, 381 00:22:54,760 --> 00:22:58,239 Speaker 1: some of them were more accurate at closer ranges, and 382 00:22:58,320 --> 00:23:00,919 Speaker 1: Lauren was more accurate at long range, so using the 383 00:23:01,000 --> 00:23:03,639 Speaker 1: two together was really helpful. By the end of n 384 00:23:04,880 --> 00:23:08,560 Speaker 1: more than three thousand naval ships and thirty thousand planes 385 00:23:08,640 --> 00:23:12,359 Speaker 1: had Laura end technology aboard. After the war, the system 386 00:23:12,400 --> 00:23:15,400 Speaker 1: was recognized as being so useful as to be instrumental 387 00:23:15,520 --> 00:23:18,800 Speaker 1: in the shipping industry moving forward, and the US Coast 388 00:23:18,840 --> 00:23:22,520 Speaker 1: Guard even produced a short film to convince shipping companies 389 00:23:22,720 --> 00:23:27,200 Speaker 1: to adopt Lauren technologies for the purposes of navigation. Lauren 390 00:23:27,359 --> 00:23:31,479 Speaker 1: stations were manned by military personnel, primarily the Coastguard. Now 391 00:23:31,480 --> 00:23:35,199 Speaker 1: according to the Coastguard blog site, an assignment to a 392 00:23:35,359 --> 00:23:39,160 Speaker 1: lur End station could be pretty lonesome. The crews tended 393 00:23:39,200 --> 00:23:42,479 Speaker 1: to range in size between eight and twenty five people, 394 00:23:43,160 --> 00:23:45,800 Speaker 1: and typically the person put in charge was a junior 395 00:23:45,880 --> 00:23:49,120 Speaker 1: officer who had maybe served a tour of duty aboard 396 00:23:49,200 --> 00:23:52,560 Speaker 1: a ship and now was put in charge of an office, 397 00:23:53,040 --> 00:23:57,119 Speaker 1: and frequently this would be the highest military officer rank 398 00:23:57,359 --> 00:24:00,000 Speaker 1: in the area, not meaning that the rank was particular 399 00:24:00,000 --> 00:24:04,080 Speaker 1: really high, but rather that these stations were in pretty 400 00:24:04,200 --> 00:24:07,760 Speaker 1: remote spaces, sometimes so much so that the only communication 401 00:24:07,840 --> 00:24:11,080 Speaker 1: you had with the outside world was the radio and 402 00:24:11,160 --> 00:24:13,919 Speaker 1: frequently you had to have all your supplies shipped to 403 00:24:14,000 --> 00:24:16,800 Speaker 1: you on a regular basis. In fact, the blog post 404 00:24:16,840 --> 00:24:19,440 Speaker 1: said that for a lot of these people, the day 405 00:24:19,600 --> 00:24:22,840 Speaker 1: when a shipment came in would be a really big 406 00:24:22,920 --> 00:24:25,879 Speaker 1: day if you were on if you're posted to one 407 00:24:25,920 --> 00:24:28,240 Speaker 1: of these places, because you would actually get to speak 408 00:24:28,280 --> 00:24:31,160 Speaker 1: to people who weren't on your crew, and that could 409 00:24:31,160 --> 00:24:35,720 Speaker 1: be a real relief. Just imagine spending time was set 410 00:24:35,840 --> 00:24:38,200 Speaker 1: up to seven to twenty four other people, and those 411 00:24:38,200 --> 00:24:40,440 Speaker 1: are the only people you ever get to see. Ever, 412 00:24:41,160 --> 00:24:44,679 Speaker 1: on top of that, the junior officers sometimes had to 413 00:24:45,000 --> 00:24:49,520 Speaker 1: act as a representative of the US military and uh 414 00:24:49,720 --> 00:24:52,080 Speaker 1: two people who were native to the areas that they 415 00:24:52,080 --> 00:24:54,800 Speaker 1: were stationed in. So in some cases it wasn't so 416 00:24:54,880 --> 00:24:56,840 Speaker 1: remote that you didn't have other people around you, but 417 00:24:56,880 --> 00:25:00,119 Speaker 1: it was in a territory that did not belong the 418 00:25:00,200 --> 00:25:03,840 Speaker 1: United States, and there you are as an official of 419 00:25:03,920 --> 00:25:06,080 Speaker 1: the U. S Military, and you have to, you know, 420 00:25:06,760 --> 00:25:09,320 Speaker 1: serve as a representative of your country. So that put 421 00:25:09,320 --> 00:25:12,560 Speaker 1: a lot of extra pressure on you. It was pretty interesting. Now. 422 00:25:12,600 --> 00:25:15,280 Speaker 1: On a blog post for the Coast Guard, Lieutenant Connie 423 00:25:15,280 --> 00:25:18,240 Speaker 1: Brish said that a typical description of a tour of 424 00:25:18,280 --> 00:25:21,639 Speaker 1: duty at a Lorentz station would be quote hours of 425 00:25:21,760 --> 00:25:26,400 Speaker 1: boredom punctuated by moments of sheer panic end quote. Now, 426 00:25:26,440 --> 00:25:29,080 Speaker 1: the staff's primary function was to make sure that the 427 00:25:29,119 --> 00:25:33,960 Speaker 1: transmitters were working properly. That required standing watches, in which 428 00:25:34,200 --> 00:25:39,159 Speaker 1: staff would literally remain in the room monitoring the equipment 429 00:25:39,240 --> 00:25:42,440 Speaker 1: for the transmitter to verify that everything was still working 430 00:25:42,560 --> 00:25:46,080 Speaker 1: as planned. It wasn't until a more advanced of Lauren 431 00:25:46,200 --> 00:25:50,560 Speaker 1: called Lauren C automated enough of the functions to remove 432 00:25:50,680 --> 00:25:55,200 Speaker 1: that necessity, and Laurence would not see wide deployment in 433 00:25:55,240 --> 00:25:59,560 Speaker 1: the UH in the consumer world, especially until the nineteen seventies. Now, 434 00:25:59,560 --> 00:26:03,600 Speaker 1: the original No Lauran system was later called Lauren A. 435 00:26:03,720 --> 00:26:07,240 Speaker 1: Lauren B was the designation of a different version of 436 00:26:07,320 --> 00:26:10,439 Speaker 1: Lauren which used the phase of the signals as the 437 00:26:10,440 --> 00:26:13,760 Speaker 1: means of measuring time differences between the two received signals 438 00:26:13,880 --> 00:26:17,879 Speaker 1: rather than comparing the actual timing of the pulse envelopes themselves. So, 439 00:26:17,920 --> 00:26:20,680 Speaker 1: in other words, the original version of Lauren was all 440 00:26:20,720 --> 00:26:23,679 Speaker 1: about when did this set of signals get to you? 441 00:26:23,720 --> 00:26:27,320 Speaker 1: When did this pulse arrive to your receiver, and how 442 00:26:27,480 --> 00:26:31,119 Speaker 1: does that compare to when this second pulse arrived to 443 00:26:31,200 --> 00:26:34,920 Speaker 1: your receiver. It was just based upon that the order 444 00:26:34,920 --> 00:26:37,639 Speaker 1: of operations of when a pulse of signals arrived to you. 445 00:26:38,320 --> 00:26:41,639 Speaker 1: Lauren B was more about the phase of the signals 446 00:26:41,680 --> 00:26:45,119 Speaker 1: and using that to determine the time difference as opposed 447 00:26:45,160 --> 00:26:47,840 Speaker 1: to just this signal got to me first, and that 448 00:26:47,960 --> 00:26:51,960 Speaker 1: actually improved the accuracy of Lauren in many ways. The 449 00:26:52,040 --> 00:26:56,439 Speaker 1: United States Air Force was experimenting with a variation of 450 00:26:56,520 --> 00:27:00,919 Speaker 1: Lauren C Lauren C, which also fall the approach that 451 00:27:01,000 --> 00:27:04,640 Speaker 1: Lauren B was attempting to make. Lauren B never really 452 00:27:04,640 --> 00:27:06,560 Speaker 1: got to see much use. It was kind of phased 453 00:27:06,560 --> 00:27:10,280 Speaker 1: out pretty quickly, and Laurence took its place. Uh. Laurence 454 00:27:11,160 --> 00:27:13,280 Speaker 1: used that same approach. And then there was a variation 455 00:27:13,280 --> 00:27:15,840 Speaker 1: of Lauren C from the United States Airforce called Lauren 456 00:27:15,960 --> 00:27:19,560 Speaker 1: D that was used as a means to create guidance 457 00:27:19,760 --> 00:27:22,880 Speaker 1: systems for the military and actually saw some limited use 458 00:27:22,880 --> 00:27:26,679 Speaker 1: in the Vietnam War. And Motorola introduced a navigational system 459 00:27:26,760 --> 00:27:30,240 Speaker 1: that was not directly related to the other Laurens systems, 460 00:27:30,280 --> 00:27:33,520 Speaker 1: but because it used a pulse chain technology, it ended 461 00:27:33,600 --> 00:27:36,920 Speaker 1: up getting the nickname Lauren F, though again it wasn't 462 00:27:37,000 --> 00:27:41,320 Speaker 1: really connected to the other versions of Lauren. While Laurence 463 00:27:41,680 --> 00:27:44,880 Speaker 1: was superior to Lauren A, it was also more expensive 464 00:27:44,920 --> 00:27:48,320 Speaker 1: to implement. It was more expensive to buy the receivers 465 00:27:48,320 --> 00:27:53,000 Speaker 1: and install them on your equipment, so not everyone immediately 466 00:27:53,000 --> 00:27:55,639 Speaker 1: switched over to Lauren C. Some people said, well, Lauren 467 00:27:55,720 --> 00:27:58,439 Speaker 1: A works just fine and the system is still in place. 468 00:27:58,720 --> 00:28:03,240 Speaker 1: Both systems are working together or at least concurrently, so 469 00:28:03,440 --> 00:28:06,200 Speaker 1: I don't have to switch over. The companies that did 470 00:28:06,280 --> 00:28:10,040 Speaker 1: make the switch would frequently offload their old Lauren A equipment, 471 00:28:10,400 --> 00:28:14,879 Speaker 1: making Lauren A readily available and relatively inexpensive, which extended 472 00:28:14,920 --> 00:28:17,960 Speaker 1: its useful life quite a bit. The Coast Guard eventually 473 00:28:18,040 --> 00:28:20,760 Speaker 1: chose to discontinue Lauren A in all but a few 474 00:28:20,800 --> 00:28:23,000 Speaker 1: spots in the world in the late nineteen seventies and 475 00:28:23,080 --> 00:28:26,639 Speaker 1: early nineteen eighties, kind of forcing a switch over to 476 00:28:26,720 --> 00:28:30,800 Speaker 1: Lauren C, And that was largely from an administrative standpoint. 477 00:28:30,840 --> 00:28:34,000 Speaker 1: You wanted to have something that was more automated and 478 00:28:34,040 --> 00:28:37,560 Speaker 1: you didn't have to dedicate as much staff to actually 479 00:28:38,200 --> 00:28:43,240 Speaker 1: manning these stations. A different technology eventually began to displace 480 00:28:43,320 --> 00:28:47,600 Speaker 1: Lauren altogether, and that was the Global Positioning System, or GPS. 481 00:28:48,080 --> 00:28:50,560 Speaker 1: Through the use of satellites in orbit, it became possible 482 00:28:50,600 --> 00:28:55,000 Speaker 1: to determine one's position on the planet with pretty good accuracy. 483 00:28:55,040 --> 00:28:57,719 Speaker 1: But until the year two thousand, the GPS approach had 484 00:28:57,760 --> 00:29:01,560 Speaker 1: a built in limitation designed to keep accurate information out 485 00:29:01,560 --> 00:29:03,320 Speaker 1: of the hands of people who might use it to 486 00:29:03,360 --> 00:29:07,480 Speaker 1: harm the United States. And this was called selective availability, 487 00:29:07,720 --> 00:29:11,720 Speaker 1: and it would introduce time varying errors on purpose to 488 00:29:11,840 --> 00:29:15,480 Speaker 1: reduce the accuracy of signals to about a hundred meters 489 00:29:15,480 --> 00:29:19,640 Speaker 1: if you were using civilian GPS. If you had military GPS, 490 00:29:19,640 --> 00:29:23,960 Speaker 1: this selective availability was not active. The whole selective availability 491 00:29:23,960 --> 00:29:26,520 Speaker 1: purpose was to prevent bad actors from being able to 492 00:29:26,600 --> 00:29:29,479 Speaker 1: use GPS to hone in on sensitive US sites like 493 00:29:29,560 --> 00:29:33,360 Speaker 1: military bases. And in two thousand, President Bill Clinton signed 494 00:29:33,360 --> 00:29:37,240 Speaker 1: an agreement that turned off selective availability and reduced the 495 00:29:37,320 --> 00:29:41,880 Speaker 1: introduced errors to zero, meaning that you no longer had 496 00:29:41,920 --> 00:29:46,440 Speaker 1: any purposeful time varying errors inserted into the GPS signals, 497 00:29:46,920 --> 00:29:50,640 Speaker 1: giving citizens the opportunity to receive much more accurate GPS 498 00:29:50,720 --> 00:29:54,240 Speaker 1: readings and making stuff like real time mapping apps possible 499 00:29:54,480 --> 00:29:58,160 Speaker 1: because imagine using a real time mapping app and it's 500 00:29:58,160 --> 00:30:02,240 Speaker 1: still got the selective availability uh turned on and so 501 00:30:02,600 --> 00:30:05,400 Speaker 1: you know that sometime within a hundred meters you need 502 00:30:05,440 --> 00:30:08,440 Speaker 1: to turn right, but you aren't exactly sure where. It 503 00:30:08,480 --> 00:30:10,480 Speaker 1: might be a hundred meters ahead of you, might be 504 00:30:10,520 --> 00:30:12,920 Speaker 1: a hundred meters behind you, it might be somewhere within 505 00:30:13,000 --> 00:30:15,440 Speaker 1: that range, and you don't know if you've passed the 506 00:30:15,480 --> 00:30:19,320 Speaker 1: street already or not. Obviously, that would limit the usefulness 507 00:30:19,360 --> 00:30:22,520 Speaker 1: of GPS, but because we got rid of selective availability 508 00:30:22,520 --> 00:30:25,720 Speaker 1: in two thousand, we now can use apps that rely 509 00:30:25,800 --> 00:30:28,360 Speaker 1: on GPS that are far more accurate to just a 510 00:30:28,400 --> 00:30:33,040 Speaker 1: couple of meters. GPS became ubiquitous rapidly, and Loran was 511 00:30:33,120 --> 00:30:36,800 Speaker 1: phased out over time, but there has been talk of 512 00:30:37,160 --> 00:30:42,000 Speaker 1: developing a new LORAN system called e Loran or Enhanced Lauren. 513 00:30:42,680 --> 00:30:45,840 Speaker 1: That version would allow for a positional system accurate to 514 00:30:45,920 --> 00:30:49,800 Speaker 1: within eight meters, making it a potential backup should GPS 515 00:30:49,920 --> 00:30:53,840 Speaker 1: fail or should people try to block or jam GPS signals. 516 00:30:54,240 --> 00:30:59,320 Speaker 1: There's been reported GPS interference over the Black Sea, and 517 00:30:59,360 --> 00:31:04,959 Speaker 1: there's been reported GPS blocking UH technologies around North Korea, 518 00:31:05,520 --> 00:31:07,640 Speaker 1: so this would be a way of getting around that. 519 00:31:07,680 --> 00:31:09,520 Speaker 1: You could not block it in the same way that 520 00:31:09,520 --> 00:31:12,440 Speaker 1: you would with GPS signals. The UK went so far 521 00:31:12,480 --> 00:31:15,360 Speaker 1: as to allocate resources to building out such a system, 522 00:31:15,760 --> 00:31:18,479 Speaker 1: though the government would eventually reverse that decision in two 523 00:31:18,520 --> 00:31:22,880 Speaker 1: thousand fifteen after France and Norway ended their Laura and transmissions. 524 00:31:23,600 --> 00:31:27,040 Speaker 1: And that's the story of Lauren, the really important technology 525 00:31:27,080 --> 00:31:31,360 Speaker 1: overseen by the Microwave Committee and then the Radiation Laboratory 526 00:31:31,400 --> 00:31:35,720 Speaker 1: of m T, which in turn was reporting to Alfred Lee. Loomis, 527 00:31:35,800 --> 00:31:38,600 Speaker 1: the guy I talked about last week, and I thought 528 00:31:38,600 --> 00:31:41,400 Speaker 1: it was pretty fascinating. I love watching the videos of 529 00:31:41,440 --> 00:31:45,280 Speaker 1: how this technology worked and the actual way of plotting 530 00:31:45,400 --> 00:31:48,040 Speaker 1: where you were on the map. It was a pretty 531 00:31:48,080 --> 00:31:51,720 Speaker 1: fascinating use of mathematics and technology. So I highly recommend 532 00:31:51,720 --> 00:31:54,040 Speaker 1: you go check out some of those videos so that 533 00:31:54,120 --> 00:31:56,640 Speaker 1: you can get a visualization on what I've been chatting about. 534 00:31:56,680 --> 00:31:59,400 Speaker 1: It's pretty fascinating stuff. If any of you have any 535 00:31:59,440 --> 00:32:02,960 Speaker 1: suggestions for future episodes of tech Stuff, maybe it's a technology, 536 00:32:03,000 --> 00:32:05,240 Speaker 1: maybe it's a company, maybe it's a person in tech 537 00:32:05,280 --> 00:32:09,360 Speaker 1: I should talk about, you should send me those suggestions. Likewise, 538 00:32:09,400 --> 00:32:11,280 Speaker 1: if you think of someone I should interview or have 539 00:32:11,400 --> 00:32:13,880 Speaker 1: on as a guest, let me know. Send me an email. 540 00:32:14,080 --> 00:32:17,240 Speaker 1: The addresses tech Stuff at how stuff Works dot com 541 00:32:17,360 --> 00:32:19,720 Speaker 1: or draw me a line on Facebook or Twitter. The 542 00:32:19,760 --> 00:32:22,000 Speaker 1: handle of both of those is tech stuff hs W. 543 00:32:22,560 --> 00:32:25,520 Speaker 1: You can follow me on Instagram just look for the 544 00:32:25,560 --> 00:32:28,200 Speaker 1: tech stuff account over there and you can check that 545 00:32:28,280 --> 00:32:32,160 Speaker 1: out as well. And remember I broadcast live on Wednesdays 546 00:32:32,160 --> 00:32:35,440 Speaker 1: and Fridays at twitch dot tv slash tech stuff. You 547 00:32:35,480 --> 00:32:38,120 Speaker 1: can watch me record these shows live and in person. 548 00:32:38,160 --> 00:32:40,320 Speaker 1: There's a chat room you can join in on and 549 00:32:40,360 --> 00:32:42,080 Speaker 1: I would love to see you in there, and I 550 00:32:42,120 --> 00:32:50,200 Speaker 1: will talk to you again really soon. For more on 551 00:32:50,280 --> 00:32:52,720 Speaker 1: this and thousands of other topics. Is that how stuff 552 00:32:52,760 --> 00:33:00,680 Speaker 1: works dot com eight