1 00:00:12,250 --> 00:00:06,150 you 2 00:00:17,800 --> 00:00:15,119 [Music] 3 00:00:20,320 --> 00:00:17,810 well thanks to the conference organizers 4 00:00:22,120 --> 00:00:20,330 and the session chairs for giving me the 5 00:00:26,050 --> 00:00:22,130 opportunity to talk today so that's some 6 00:00:29,769 --> 00:00:26,060 of my thesis work so some motivating 7 00:00:31,900 --> 00:00:29,779 questions for this talk or how to stars 8 00:00:33,970 --> 00:00:31,910 of different math and composition 9 00:00:36,040 --> 00:00:33,980 evolved how does this impact the 10 00:00:38,890 --> 00:00:36,050 location of the habitable zone around 11 00:00:41,049 --> 00:00:38,900 the star how does the habitable zone 12 00:00:43,170 --> 00:00:41,059 co-evolved with the star over time and 13 00:00:46,030 --> 00:00:43,180 how will utilizing this knowledge apply 14 00:00:47,500 --> 00:00:46,040 in the continued search for potentially 15 00:00:52,959 --> 00:00:47,510 habitable earth-like planets in the 16 00:00:54,610 --> 00:00:52,969 future so I know I don't need to you 17 00:00:56,080 --> 00:00:54,620 know belabor the point that habitable 18 00:00:57,520 --> 00:00:56,090 zones are complicated concepts but I 19 00:00:59,790 --> 00:00:57,530 just want to emphasize that for the 20 00:01:02,170 --> 00:00:59,800 context of this work we're approaching 21 00:01:04,119 --> 00:01:02,180 habitability or the habitable zone from 22 00:01:08,230 --> 00:01:04,129 the Astrophysical perspective in terms 23 00:01:11,139 --> 00:01:08,240 of thinking about how stars of different 24 00:01:16,389 --> 00:01:11,149 math and temperature how they're 25 00:01:17,950 --> 00:01:16,399 habitable zones differ and also make the 26 00:01:19,570 --> 00:01:17,960 point that for different math stars not 27 00:01:23,200 --> 00:01:19,580 only are the distances of the habitable 28 00:01:26,980 --> 00:01:23,210 zones variable but they expand outward 29 00:01:29,109 --> 00:01:26,990 at different rates so the two main 30 00:01:33,190 --> 00:01:29,119 measurable parameters that I look at our 31 00:01:36,999 --> 00:01:33,200 math which impacts the rate of hydrogen 32 00:01:38,859 --> 00:01:37,009 fusion in the star which thus impacts 33 00:01:41,649 --> 00:01:38,869 the main sequence lifetime of the star 34 00:01:43,510 --> 00:01:41,659 as well as the composition which affects 35 00:01:46,870 --> 00:01:43,520 the opacity energy transport within the 36 00:01:48,850 --> 00:01:46,880 star so something with a star with lower 37 00:01:51,340 --> 00:01:48,860 opacity for example would have more 38 00:01:53,020 --> 00:01:51,350 efficient energy escapes and a shorter 39 00:01:59,170 --> 00:01:53,030 main sequence lifetime than a star of 40 00:02:00,870 --> 00:01:59,180 equal mass so what I do to model stellar 41 00:02:03,969 --> 00:02:00,880 evolution is I use Tycho a 42 00:02:05,620 --> 00:02:03,979 one-dimensional hydrodynamic alcoa which 43 00:02:07,990 --> 00:02:05,630 outputs stellar surface quantities of 44 00:02:09,669 --> 00:02:08,000 interest for each time step of the 45 00:02:11,920 --> 00:02:09,679 evolution so typically temperature and 46 00:02:15,030 --> 00:02:11,930 luminosity or what we're primarily 47 00:02:17,590 --> 00:02:15,040 interested in and I've created an online 48 00:02:19,180 --> 00:02:17,600 database for the evolutionary tracks 49 00:02:22,510 --> 00:02:19,190 that's available it has an interactive 50 00:02:25,180 --> 00:02:22,520 interpolation tool as well and primarily 51 00:02:26,190 --> 00:02:25,190 what we want from these evolutionary 52 00:02:28,530 --> 00:02:26,200 tracks is to look 53 00:02:31,530 --> 00:02:28,540 at how the location and lifetime of the 54 00:02:35,309 --> 00:02:31,540 habitable zone depends on the changes 55 00:02:38,820 --> 00:02:35,319 over the stars made sequence lifetime as 56 00:02:41,580 --> 00:02:38,830 it goes so looking at the temperature in 57 00:02:45,059 --> 00:02:41,590 luminosity you have the HR diagram even 58 00:02:46,080 --> 00:02:45,069 just for looking at oxygen if we have 59 00:02:48,930 --> 00:02:46,090 depleted oxygen 60 00:02:51,930 --> 00:02:48,940 - enriched oxygen compared to the Sun 61 00:02:54,720 --> 00:02:51,940 and dots you can see that there's quite 62 00:02:56,820 --> 00:02:54,730 a significant spread in the temperature 63 00:02:59,990 --> 00:02:56,830 in luminosity outputs for the HR 64 00:03:04,500 --> 00:03:00,000 diagrams for each mass in our range and 65 00:03:07,610 --> 00:03:04,510 if we plot the Sun on our tracks you can 66 00:03:10,860 --> 00:03:07,620 see that this is a good estimate of the 67 00:03:13,949 --> 00:03:10,870 current Sun temperature and luminosity 68 00:03:16,170 --> 00:03:13,959 so just believable estimates for what 69 00:03:18,240 --> 00:03:16,180 we're getting here so the limit 70 00:03:23,190 --> 00:03:18,250 equations that we use also come from 71 00:03:25,410 --> 00:03:23,200 Ravi copper Rafi's 2013-2014 papers what 72 00:03:26,940 --> 00:03:25,420 we're focused on here again the 73 00:03:29,190 --> 00:03:26,950 temperature and luminosity so we take 74 00:03:32,610 --> 00:03:29,200 that from Tyco and input this into these 75 00:03:34,800 --> 00:03:32,620 equations that calculate the habitable 76 00:03:38,520 --> 00:03:34,810 zone distance at each time step in our 77 00:03:42,090 --> 00:03:38,530 evolution and this is the program that I 78 00:03:44,250 --> 00:03:42,100 use that I wrote to do these radii 79 00:03:46,050 --> 00:03:44,260 calculations are easily upgradeable for 80 00:03:48,000 --> 00:03:46,060 any particular habitable zone 81 00:03:50,729 --> 00:03:48,010 prescriptions that you want to use but 82 00:03:53,400 --> 00:03:50,739 we chose the conservative cases from 83 00:03:55,289 --> 00:03:53,410 copper abu which are the runaway 84 00:03:58,680 --> 00:03:55,299 greenhouse and the maximum greenhouse 85 00:04:01,590 --> 00:03:58,690 cases and that's where total ocean 86 00:04:04,349 --> 00:04:01,600 evaporation to the point at which 87 00:04:05,940 --> 00:04:04,359 Raleigh scattering by co2 starts out 88 00:04:09,720 --> 00:04:05,950 with a greenhouse effect on the outer 89 00:04:11,190 --> 00:04:09,730 edge so with elemental abundances what 90 00:04:13,470 --> 00:04:11,200 we're thinking about is that usually 91 00:04:15,150 --> 00:04:13,480 only iron is measured in stars because 92 00:04:17,219 --> 00:04:15,160 it's easy there are lots of lines and 93 00:04:19,140 --> 00:04:17,229 other elements are just assumed to scale 94 00:04:23,640 --> 00:04:19,150 in the same proportions that are 95 00:04:26,790 --> 00:04:23,650 observed at the Sun but as in natalie 96 00:04:29,520 --> 00:04:26,800 Hinkle's 2014 papers especially we see 97 00:04:33,180 --> 00:04:29,530 that specific chemical abundances can 98 00:04:35,130 --> 00:04:33,190 vary significantly among stars and also 99 00:04:37,640 --> 00:04:35,140 previous work by patrick Young has shown 100 00:04:39,620 --> 00:04:37,650 that oxygen specifically has 101 00:04:44,060 --> 00:04:39,630 a really strong impact to the stellar 102 00:04:46,070 --> 00:04:44,070 evolution so my database that I put 103 00:04:49,370 --> 00:04:46,080 together for the stellar evolution 104 00:04:51,740 --> 00:04:49,380 tracks in 2015 paper I discussed a grid 105 00:04:54,770 --> 00:04:51,750 of three hundred and seventy-six models 106 00:04:57,140 --> 00:04:54,780 that range from 0.5 to 1.2 solar masses 107 00:04:59,180 --> 00:04:57,150 it has a scaled overall metallicity 108 00:05:01,430 --> 00:04:59,190 relative to the Sun so just scaling all 109 00:05:04,370 --> 00:05:01,440 the elements proportionally from point 1 110 00:05:07,879 --> 00:05:04,380 to 1.5 solar metallicity and then a 111 00:05:09,260 --> 00:05:07,889 specific oxygen abundance values ranging 112 00:05:12,500 --> 00:05:09,270 from point four four to two point two 113 00:05:16,909 --> 00:05:12,510 eight solar oxygen and in my recent 114 00:05:19,610 --> 00:05:16,919 paper we added additional 528 models so 115 00:05:23,150 --> 00:05:19,620 that's four carbon magnesium and neon 116 00:05:24,860 --> 00:05:23,160 and neon is an artificial range here 117 00:05:27,320 --> 00:05:24,870 just because it's very difficult to 118 00:05:29,090 --> 00:05:27,330 accurately measure in stars but we want 119 00:05:32,320 --> 00:05:29,100 to include it even hypothetically 120 00:05:33,890 --> 00:05:32,330 because it's important for 121 00:05:37,879 --> 00:05:33,900 considerations into the stellar 122 00:05:39,529 --> 00:05:37,889 evolution so what we were plotting here 123 00:05:43,040 --> 00:05:39,539 is how does one distance versus stellar 124 00:05:44,270 --> 00:05:43,050 age days age and distance and we have 125 00:05:47,180 --> 00:05:44,280 the inner limits and the outer limits 126 00:05:50,029 --> 00:05:47,190 here each color represents a different 127 00:05:51,980 --> 00:05:50,039 elemental abundance so we have oxygen in 128 00:05:54,290 --> 00:05:51,990 red and purple and you can see that they 129 00:05:57,350 --> 00:05:54,300 make the most difference versus the 130 00:06:00,110 --> 00:05:57,360 black line which is solar then orange 131 00:06:02,180 --> 00:06:00,120 and blue or magnesium and yellow and 132 00:06:04,370 --> 00:06:02,190 green or carbon and interestingly Carvin 133 00:06:05,540 --> 00:06:04,380 actually makes less of the difference 134 00:06:08,210 --> 00:06:05,550 than magnesium even though it's 135 00:06:10,189 --> 00:06:08,220 relatively more abundant in stars the 136 00:06:13,450 --> 00:06:10,199 magnesium has a higher opacity per gram 137 00:06:15,230 --> 00:06:13,460 so it impacts the difference in 138 00:06:19,129 --> 00:06:15,240 evolution the temperature and luminosity 139 00:06:22,189 --> 00:06:19,139 outputs and not only do the Hobbit alone 140 00:06:23,450 --> 00:06:22,199 distances differ with variable 141 00:06:26,000 --> 00:06:23,460 composition we also see that the 142 00:06:28,610 --> 00:06:26,010 lifetimes again can be significantly 143 00:06:31,670 --> 00:06:28,620 truncated for example if we're looking 144 00:06:33,770 --> 00:06:31,680 at depleted oxygen here versus enriched 145 00:06:37,640 --> 00:06:33,780 oxygen there's a difference of maybe 146 00:06:41,750 --> 00:06:37,650 three billion years so it's quite a big 147 00:06:44,270 --> 00:06:41,760 difference if we plot the earth here you 148 00:06:46,610 --> 00:06:44,280 can see that Earth is on the inner edge 149 00:06:47,899 --> 00:06:46,620 of the habitable zone currently however 150 00:06:48,920 --> 00:06:47,909 for thinking about some sort of 151 00:06:49,679 --> 00:06:48,930 hypothetical 152 00:06:53,850 --> 00:06:49,689 X 153 00:06:55,649 --> 00:06:53,860 planet at the same current time then you 154 00:06:58,949 --> 00:06:55,659 can see that it's only recently entered 155 00:07:01,019 --> 00:06:58,959 the habitable zone so up until this 156 00:07:04,109 --> 00:07:01,029 point it's been what we would maybe 157 00:07:06,089 --> 00:07:04,119 consider outside and we don't know now 158 00:07:08,999 --> 00:07:06,099 what implications that would have for 159 00:07:10,499 --> 00:07:09,009 this planet so generally though we want 160 00:07:17,129 --> 00:07:10,509 to avoid planets that have only recently 161 00:07:19,379 --> 00:07:17,139 entered the habitable zone this table is 162 00:07:21,959 --> 00:07:19,389 showing the fraction of orbital radii 163 00:07:24,600 --> 00:07:21,969 that do enter after the mid point I want 164 00:07:26,219 --> 00:07:24,610 to highlight is that up to a third to a 165 00:07:28,229 --> 00:07:26,229 half of all orbits in the habitable zone 166 00:07:32,329 --> 00:07:28,239 only become so in the second half of 167 00:07:36,449 --> 00:07:34,709 additionally a trend that we see is that 168 00:07:39,149 --> 00:07:36,459 with increasing composition a higher 169 00:07:41,279 --> 00:07:39,159 percentage of planets are not in the 170 00:07:43,919 --> 00:07:41,289 habitable zone until the second half of 171 00:07:46,319 --> 00:07:43,929 the stars main sequence lifetime so this 172 00:07:48,779 --> 00:07:46,329 prompts us to constrain with a time 173 00:07:53,069 --> 00:07:48,789 criteria our consideration of the 174 00:07:55,409 --> 00:07:53,079 habitable zones so I wanted to show this 175 00:07:57,689 --> 00:07:55,419 it's kind of a complicated figure but 176 00:08:00,329 --> 00:07:57,699 mostly what we're looking at is distance 177 00:08:03,239 --> 00:08:00,339 here versus stellar mass and this is for 178 00:08:05,269 --> 00:08:03,249 all of the 376 grid 179 00:08:08,759 --> 00:08:05,279 it just basically is meant to illustrate 180 00:08:11,369 --> 00:08:08,769 that we see a wide range of habitable 181 00:08:14,999 --> 00:08:11,379 distances based on the stellar 182 00:08:17,339 --> 00:08:15,009 composition so it can really impact what 183 00:08:20,159 --> 00:08:17,349 we're seeing in terms of distance based 184 00:08:25,780 --> 00:08:20,169 on the wide variety of stellar 185 00:08:33,260 --> 00:08:29,930 okay okay so if we pick out one which is 186 00:08:34,670 --> 00:08:33,270 just the solar value and we look at what 187 00:08:37,370 --> 00:08:34,680 we would think of as a continuously 188 00:08:42,110 --> 00:08:37,380 habitable zone the green shaded region 189 00:08:45,590 --> 00:08:42,120 here is what we would think of as the CH 190 00:08:48,230 --> 00:08:45,600 Z 1 which is the where something would 191 00:08:50,030 --> 00:08:48,240 be continuously habitable for the Stars 192 00:08:54,860 --> 00:08:50,040 entire main sequence lifetime so you see 193 00:08:56,420 --> 00:08:54,870 that that's not a very comprehensive way 194 00:09:02,840 --> 00:08:56,430 to think about it because if we plot 195 00:09:06,230 --> 00:09:02,850 earth on here that doesn't find earth so 196 00:09:07,970 --> 00:09:06,240 we we know that Earth is in what we 197 00:09:09,920 --> 00:09:07,980 would consider the habitable zone so we 198 00:09:11,630 --> 00:09:09,930 need to be more careful about how we 199 00:09:14,180 --> 00:09:11,640 define is continuously habitable zone 200 00:09:16,870 --> 00:09:14,190 instead if we use a 2 billion year 201 00:09:22,250 --> 00:09:16,880 criteria which is based on obviously 202 00:09:26,660 --> 00:09:22,260 earth took about 2 billion years to 203 00:09:29,060 --> 00:09:26,670 produce enough biogenic gases that would 204 00:09:33,110 --> 00:09:29,070 be detectable with something in the most 205 00:09:36,140 --> 00:09:33,120 recent decade all survey then we have 206 00:09:38,300 --> 00:09:36,150 that earth does fall into this range of 207 00:09:40,370 --> 00:09:38,310 orbits that would be continuously 208 00:09:42,910 --> 00:09:40,380 habitable for at least two billion years 209 00:09:46,490 --> 00:09:42,920 so anything within this green range 210 00:09:48,470 --> 00:09:46,500 would meet that criteria now here's a 211 00:09:50,450 --> 00:09:48,480 table illustrating that and what I want 212 00:09:52,580 --> 00:09:50,460 to draw the attention to here is that 213 00:09:56,720 --> 00:09:52,590 for low mass stars obviously they have a 214 00:09:59,750 --> 00:09:56,730 very high percent of time that a planet 215 00:10:01,220 --> 00:09:59,760 would spend in the continuously have 2 216 00:10:03,860 --> 00:10:01,230 billion year continuously have it alone 217 00:10:06,200 --> 00:10:03,870 versus the entire main sequence whereas 218 00:10:08,450 --> 00:10:06,210 something with lower composition at 219 00:10:10,280 --> 00:10:08,460 higher mass don't have any orbits that 220 00:10:13,520 --> 00:10:10,290 are continuously habitable for 2 billion 221 00:10:14,990 --> 00:10:13,530 years just because of the main short 222 00:10:17,150 --> 00:10:15,000 main sequence lifetime so that could 223 00:10:20,540 --> 00:10:17,160 help us constrain maybe the types of 224 00:10:24,770 --> 00:10:20,550 stars we want to focus on as well we can 225 00:10:29,150 --> 00:10:24,780 provide accurate time evolution of a 226 00:10:30,920 --> 00:10:29,160 wider array of stars to better evaluate 227 00:10:34,670 --> 00:10:30,930 individual cases of interest as they 228 00:10:35,850 --> 00:10:34,680 arise so the current work that I've been 229 00:10:37,860 --> 00:10:35,860 doing 230 00:10:41,760 --> 00:10:37,870 is expanding a catalogue to also include 231 00:10:44,310 --> 00:10:41,770 a grid of M dwarf stars which utilize 232 00:10:47,520 --> 00:10:44,320 the same range of abundances for oxygen 233 00:10:49,050 --> 00:10:47,530 carbon magnesium etc except for now we 234 00:10:50,030 --> 00:10:49,060 have from point one to point four five 235 00:10:52,890 --> 00:10:50,040 solar masses 236 00:10:55,350 --> 00:10:52,900 - hopefully incorporate all the interest 237 00:10:57,510 --> 00:10:55,360 for M dwarf habitability and I'm also 238 00:10:59,220 --> 00:10:57,520 writing a type of subroutine that will 239 00:11:02,760 --> 00:10:59,230 be able to estimate the activity versus 240 00:11:04,440 --> 00:11:02,770 age for each star in our catalog this is 241 00:11:07,830 --> 00:11:04,450 based on a minimalist couple evolution 242 00:11:10,770 --> 00:11:07,840 model from Blackmon and O in 2016 and 243 00:11:13,410 --> 00:11:10,780 I'm also working on keeping the database 244 00:11:15,570 --> 00:11:13,420 updated it's designed for the 245 00:11:18,300 --> 00:11:15,580 astrobiology exoplanet communities to 246 00:11:20,400 --> 00:11:18,310 basically characterize any particular 247 00:11:23,970 --> 00:11:20,410 system that we're interested in any new 248 00:11:26,190 --> 00:11:23,980 discoveries that are coming up planetary 249 00:11:28,530 --> 00:11:26,200 candidates so we can look at the host 250 00:11:32,120 --> 00:11:28,540 star characterization and try to get an 251 00:11:35,100 --> 00:11:32,130 idea of what's going on with that so 252 00:11:50,730 --> 00:11:35,110 with that I will stop I'll take 253 00:11:53,010 --> 00:11:50,740 questions questions for Amanda so Amanda 254 00:11:55,320 --> 00:11:53,020 this is really cool and I was curious if 255 00:11:57,690 --> 00:11:55,330 you had so you said you were going to 256 00:12:01,280 --> 00:11:57,700 these smaller stars and I was curious if 257 00:12:03,030 --> 00:12:01,290 you had any intuition as to what the 258 00:12:04,620 --> 00:12:03,040 essentially certain you start forming 259 00:12:07,260 --> 00:12:04,630 molecular species in their atmospheres 260 00:12:09,920 --> 00:12:07,270 and what that might say for your stellar 261 00:12:15,480 --> 00:12:09,930 effective temperatures and luminosities 262 00:12:17,130 --> 00:12:15,490 I think that would you mean I mean it's 263 00:12:19,500 --> 00:12:17,140 just generally lower but are you bring 264 00:12:21,690 --> 00:12:19,510 like different species could yeah 265 00:12:23,640 --> 00:12:21,700 differently right so is that going to 266 00:12:25,980 --> 00:12:23,650 affect your your luminosity of it'll I 267 00:12:27,780 --> 00:12:25,990 think yeah definitely will but I'm not 268 00:12:29,850 --> 00:12:27,790 sure I can say anything about specific 269 00:12:31,800 --> 00:12:29,860 species like how how particular 270 00:12:33,660 --> 00:12:31,810 molecules might affect but I think 271 00:12:36,810 --> 00:12:33,670 absolutely that yes 272 00:12:39,450 --> 00:12:36,820 having having that and at the lower 273 00:12:41,490 --> 00:12:39,460 effective temperatures will impact the 274 00:12:43,350 --> 00:12:41,500 stellar evolution but I'm not I'm not 275 00:12:45,840 --> 00:12:43,360 exactly sure because I don't know how 276 00:12:47,699 --> 00:12:45,850 each specific species will interact in 277 00:12:52,410 --> 00:12:47,709 the whole process so 278 00:12:55,889 --> 00:12:52,420 Thanks I guess the idea that I've heard 279 00:12:58,290 --> 00:12:55,899 around that is that by increasing the 280 00:13:00,780 --> 00:12:58,300 amount of absorption towards the red you 281 00:13:03,359 --> 00:13:00,790 effectively widened a half zone a little 282 00:13:06,059 --> 00:13:03,369 further out and that especially around M 283 00:13:08,879 --> 00:13:06,069 dwarfs hey where the light is redder 284 00:13:13,109 --> 00:13:08,889 right in planetary albedo is smaller at 285 00:13:15,509 --> 00:13:13,119 those wavelengths I guess that I was 286 00:13:18,329 --> 00:13:15,519 thinking about you know the minimum age 287 00:13:21,059 --> 00:13:18,339 or the minimum continuously habitable 288 00:13:23,249 --> 00:13:21,069 time you know in terms of setting 289 00:13:24,900 --> 00:13:23,259 constraints on which types of stars 290 00:13:27,150 --> 00:13:24,910 could absolute habitable planets around 291 00:13:28,889 --> 00:13:27,160 them yeah we have fun too 292 00:13:32,609 --> 00:13:28,899 I mean we thought about this you know a 293 00:13:35,040 --> 00:13:32,619 lot but it would be fun to translate you 294 00:13:38,009 --> 00:13:35,050 know what if you wanted planets that are 295 00:13:40,710 --> 00:13:38,019 at least 1 billion years habitable or to 296 00:13:43,679 --> 00:13:40,720 really into actual mission detection 297 00:13:45,900 --> 00:13:43,689 parameters because planets in the 298 00:13:48,389 --> 00:13:45,910 habitable zones around a stars for 299 00:13:50,489 --> 00:13:48,399 example have a much steeper contrast 300 00:13:52,470 --> 00:13:50,499 rate rate that you have to reach then to 301 00:13:55,829 --> 00:13:52,480 detect those than in the half zone 302 00:13:58,110 --> 00:13:55,839 around a G Star by K star and M star and 303 00:13:59,879 --> 00:13:58,120 then but then also they're further out 304 00:14:01,919 --> 00:13:59,889 so it's a little easier in terms of 305 00:14:03,780 --> 00:14:01,929 interworking angle but it would be fun 306 00:14:06,179 --> 00:14:03,790 to actually try to map that out in terms 307 00:14:09,210 --> 00:14:06,189 of contrast interworking angle as well 308 00:14:11,160 --> 00:14:09,220 as that the actual apparent magnitude of 309 00:14:12,660 --> 00:14:11,170 the planet you have to get down to four 310 00:14:14,100 --> 00:14:12,670 specific stars yeah that's really 311 00:14:16,559 --> 00:14:14,110 interesting I've had discussions about 312 00:14:18,780 --> 00:14:16,569 kind of doing contour type plots even 313 00:14:21,360 --> 00:14:18,790 with like different ages or different 314 00:14:24,059 --> 00:14:21,370 time criteria so like 1 billion years or 315 00:14:25,829 --> 00:14:24,069 two or five or whatever so that's also 316 00:14:27,449 --> 00:14:25,839 really interesting at the end one day 317 00:14:29,850 --> 00:14:27,459 you kind of have to do it star by star 318 00:14:31,799 --> 00:14:29,860 so right super time-consuming but it has