1 00:00:06,160 --> 00:00:12,250 you 2 00:00:17,470 --> 00:00:14,640 [Music] 3 00:00:19,000 --> 00:00:17,480 Imaging habitable zone exoplanets and 4 00:00:20,500 --> 00:00:19,010 getting these reflectance spectra that 5 00:00:22,980 --> 00:00:20,510 we've been talking about so far will 6 00:00:25,960 --> 00:00:22,990 require a dedicated space space mission 7 00:00:28,599 --> 00:00:25,970 that hopefully will see fly in 20 years 8 00:00:30,460 --> 00:00:28,609 until then we can still study exoplanet 9 00:00:32,770 --> 00:00:30,470 answers even those in the habitable 10 00:00:33,670 --> 00:00:32,780 zones with the technique of transmission 11 00:00:35,860 --> 00:00:33,680 spectroscopy 12 00:00:37,660 --> 00:00:35,870 this is the multi wavelength study of 13 00:00:39,130 --> 00:00:37,670 exoplanets that transit directly in 14 00:00:44,610 --> 00:00:39,140 front of their stars from our point of 15 00:00:46,569 --> 00:00:44,620 view and that's all wavelengths the 16 00:00:47,920 --> 00:00:46,579 planet will block out sunlight and at 17 00:00:49,959 --> 00:00:47,930 some wavelengths the exoplanet will 18 00:00:52,270 --> 00:00:49,969 appear larger and the transit depth will 19 00:00:56,110 --> 00:00:52,280 be deeper because its atmosphere is 20 00:00:57,610 --> 00:00:56,120 absorbing or scattering light for 21 00:01:01,060 --> 00:00:57,620 example here's the transmission spectrum 22 00:01:03,570 --> 00:01:01,070 of Earth as shown here on the left if an 23 00:01:07,060 --> 00:01:03,580 alien astronomer were to look at earth 24 00:01:09,219 --> 00:01:07,070 in front of the Sun it would block out 25 00:01:11,350 --> 00:01:09,229 about 85 parts per million of the sun's 26 00:01:13,029 --> 00:01:11,360 light and at some wavelengths there'd be 27 00:01:17,010 --> 00:01:13,039 an additional one part per million 28 00:01:21,899 --> 00:01:17,020 blocked out by oxygen water carbon 29 00:01:27,880 --> 00:01:24,700 we'll call that additional decrease a 30 00:01:33,070 --> 00:01:27,890 delta D and the D is the regular transit 31 00:01:35,530 --> 00:01:33,080 depth so getting a successful detection 32 00:01:37,929 --> 00:01:35,540 of a one part per million feature is a 33 00:01:40,179 --> 00:01:37,939 really tall order but we can do better 34 00:01:42,280 --> 00:01:40,189 if we go to smaller stars because the 35 00:01:44,980 --> 00:01:42,290 scale of this effect scaled inversely 36 00:01:47,050 --> 00:01:44,990 with the radius squared of the star so 37 00:01:49,390 --> 00:01:47,060 for an M dwarf or early M dwarf we would 38 00:01:52,929 --> 00:01:49,400 get a three part per million Delta G and 39 00:01:55,600 --> 00:01:52,939 if we go to the latest M Dwarfs M 9 we 40 00:01:57,359 --> 00:01:55,610 can get a Delta G as large as 160 parts 41 00:01:59,679 --> 00:01:57,369 per million for an earth-like atmosphere 42 00:02:04,630 --> 00:01:59,689 which is detectable even with current 43 00:02:07,389 --> 00:02:04,640 fermentation very excitingly we now have 44 00:02:09,880 --> 00:02:07,399 some exoplanets around small stars that 45 00:02:11,350 --> 00:02:09,890 surveys have found recently dedicated 46 00:02:13,900 --> 00:02:11,360 surveys looking for these kinds of 47 00:02:15,340 --> 00:02:13,910 things that are going to be excellent 48 00:02:17,920 --> 00:02:15,350 targets for lists and we've heard about 49 00:02:19,390 --> 00:02:17,930 the traffic system which has seven 50 00:02:21,160 --> 00:02:19,400 roughly earth sized planets three of 51 00:02:24,720 --> 00:02:21,170 which could be in the habitable zone and 52 00:02:26,339 --> 00:02:24,730 just last week LHS 11:40 53 00:02:28,290 --> 00:02:26,349 II was announced today super-earth 54 00:02:31,740 --> 00:02:28,300 translating a mid M dwarf and his 55 00:02:33,930 --> 00:02:31,750 habitable zone so in the best-case 56 00:02:36,030 --> 00:02:33,940 scenario we would measure the transit 57 00:02:37,710 --> 00:02:36,040 depth at multiple wavelengths and any 58 00:02:40,860 --> 00:02:37,720 variations in the transit depth would be 59 00:02:43,380 --> 00:02:40,870 due to the planet's atmosphere but this 60 00:02:45,390 --> 00:02:43,390 assumes that the transit chord is 61 00:02:47,369 --> 00:02:45,400 exactly the same as the under coltd 62 00:02:49,710 --> 00:02:47,379 photosphere and this assumption is 63 00:02:51,509 --> 00:02:49,720 actually never correct it just depends 64 00:02:53,069 --> 00:02:51,519 on the precision we're interested in 65 00:02:57,390 --> 00:02:53,079 whether or not we just need to take this 66 00:03:00,479 --> 00:02:57,400 into account in reality stars are hot 67 00:03:02,220 --> 00:03:00,489 noisy chaotic places that make precise 68 00:03:03,569 --> 00:03:02,230 measurements very difficult as anyone 69 00:03:07,319 --> 00:03:03,579 that does radio velocity measurements 70 00:03:09,210 --> 00:03:07,329 can tell you and cool spots and hot 71 00:03:11,190 --> 00:03:09,220 stock you'll eat on the photosphere of 72 00:03:13,800 --> 00:03:11,200 the star that are not occulted by the 73 00:03:15,449 --> 00:03:13,810 exoplanet will not appear in our transit 74 00:03:18,599 --> 00:03:15,459 light curves but they will affect the 75 00:03:21,300 --> 00:03:18,609 transit depths we measure so even for 76 00:03:22,860 --> 00:03:21,310 relatively quiet stars any difference 77 00:03:25,380 --> 00:03:22,870 between the transit chord and the mean 78 00:03:29,580 --> 00:03:25,390 uh Nicole today sphere will be imprinted 79 00:03:31,110 --> 00:03:29,590 and our measurements from an 80 00:03:33,330 --> 00:03:31,120 illustration of the importance of this 81 00:03:36,659 --> 00:03:33,340 effect we have to look no farther than 82 00:03:39,960 --> 00:03:36,669 our own solar system this is the 2012 83 00:03:41,159 --> 00:03:39,970 transit of Venus as recorded at three 84 00:03:43,589 --> 00:03:41,169 different wavelengths from the extreme 85 00:03:48,210 --> 00:03:43,599 UV to the optical and you can tell by 86 00:03:49,589 --> 00:03:48,220 eye UV that the transit chord is not the 87 00:03:50,970 --> 00:03:49,599 same as the rest of the photosphere so 88 00:03:53,550 --> 00:03:50,980 if you're trying to measure the spectrum 89 00:03:55,849 --> 00:03:53,560 of Venus from these data it'd be very 90 00:03:58,680 --> 00:03:55,859 very difficult with the Sun 91 00:04:01,289 --> 00:03:58,690 heterogeneity it sounds actually a 92 00:04:05,460 --> 00:04:01,299 relatively quiet star it only varies its 93 00:04:07,770 --> 00:04:05,470 total radiance by about 0.1% whereas all 94 00:04:09,930 --> 00:04:07,780 these M dwarf host stars of these 95 00:04:12,569 --> 00:04:09,940 exciting exoplanets I'll demonstrate 96 00:04:17,159 --> 00:04:12,579 rotational modulations on the order of 97 00:04:20,159 --> 00:04:17,169 1% so this is commonly ripped 98 00:04:24,150 --> 00:04:20,169 interpreted as spots rotating in and out 99 00:04:26,850 --> 00:04:24,160 of our field of view but additionally 100 00:04:28,890 --> 00:04:26,860 how faculty can affect this and if there 101 00:04:31,290 --> 00:04:28,900 are axisymmetric features like 102 00:04:33,120 --> 00:04:31,300 latitudinal bands of spots those won't 103 00:04:34,560 --> 00:04:33,130 contribute to photometric modulation but 104 00:04:35,580 --> 00:04:34,570 they will impact the transmission 105 00:04:38,080 --> 00:04:35,590 spectrum 106 00:04:39,580 --> 00:04:38,090 so we have examples today with our 107 00:04:40,750 --> 00:04:39,590 current precision of transmission 108 00:04:44,050 --> 00:04:40,760 spectra that are affected by this 109 00:04:45,610 --> 00:04:44,060 there's the hot Jupiter HD 189 it's 110 00:04:48,250 --> 00:04:45,620 spectrum is shown here on the left and 111 00:04:51,400 --> 00:04:48,260 even after accounting for the rotational 112 00:04:54,280 --> 00:04:51,410 modulation of on occulted spots 113 00:04:56,200 --> 00:04:54,290 Nichola at all found that the remaining 114 00:04:58,360 --> 00:04:56,210 spectrum we see this strong optical 115 00:05:00,460 --> 00:04:58,370 slope can be explained by the presence 116 00:05:03,610 --> 00:05:00,470 of additional on occulted spots covering 117 00:05:06,040 --> 00:05:03,620 about 5% stellar disk and then some work 118 00:05:08,560 --> 00:05:06,050 that I led on the subnets here in GJ 119 00:05:11,620 --> 00:05:08,570 1214b we found that it's optical 120 00:05:13,390 --> 00:05:11,630 spectrum is sharply reduced and that is 121 00:05:18,850 --> 00:05:13,400 the effect of uh Nicole that's factually 122 00:05:20,500 --> 00:05:18,860 on its Middendorf co-star so before we 123 00:05:22,810 --> 00:05:20,510 set out to detect bio signatures from 124 00:05:25,060 --> 00:05:22,820 work like exoplanets we need to ask 125 00:05:26,650 --> 00:05:25,070 ourselves how my stellar heterogeneity 126 00:05:29,560 --> 00:05:26,660 affect these high-precision measurements 127 00:05:31,000 --> 00:05:29,570 so today and we're simulating the 128 00:05:34,780 --> 00:05:31,010 signals produced by host arts for a 129 00:05:37,240 --> 00:05:34,790 variety of situations there are two 130 00:05:39,340 --> 00:05:37,250 proposed observational designs I want to 131 00:05:40,900 --> 00:05:39,350 talk about here one is going to space 132 00:05:42,670 --> 00:05:40,910 with the James Webb Space Telescope and 133 00:05:46,030 --> 00:05:42,680 getting a low resolution spectrum from 134 00:05:49,180 --> 00:05:46,040 the 0.62 5.3 microns we can look for 135 00:05:52,450 --> 00:05:49,190 absorption from o2 water carbon dioxide 136 00:05:54,400 --> 00:05:52,460 and another idea is using a ground-based 137 00:05:56,800 --> 00:05:54,410 giant telescope like giant intelligent 138 00:05:59,440 --> 00:05:56,810 Magellan telescope getting a very 139 00:06:02,260 --> 00:05:59,450 high-resolution spectrum and then 140 00:06:05,080 --> 00:06:02,270 actually we can detect the oxygen to a 141 00:06:06,520 --> 00:06:05,090 band in the exoplanet atmosphere because 142 00:06:08,260 --> 00:06:06,530 the radio velocity of the planet and 143 00:06:10,990 --> 00:06:08,270 star will shift those lines away from 144 00:06:14,580 --> 00:06:11,000 the lines and our atmosphere and we can 145 00:06:17,980 --> 00:06:14,590 peer between our lines and examine those 146 00:06:20,860 --> 00:06:17,990 so we examined these two scenarios for a 147 00:06:23,080 --> 00:06:20,870 range of spectral types with a earthlike 148 00:06:26,380 --> 00:06:23,090 exoplanet orbiting them and then 149 00:06:29,800 --> 00:06:26,390 simulated the effect of 2% spots and 2% 150 00:06:32,350 --> 00:06:29,810 faculty and these roughly produce the 1% 151 00:06:34,480 --> 00:06:32,360 photometric modulations that we see from 152 00:06:36,580 --> 00:06:34,490 these stars so just stepping through the 153 00:06:39,100 --> 00:06:36,590 results in the near infrared we're 154 00:06:41,650 --> 00:06:39,110 looking at the effective spots I'm 155 00:06:44,590 --> 00:06:41,660 showing here the Delta D produced as a 156 00:06:46,360 --> 00:06:44,600 function of wavelength and gray is shown 157 00:06:49,570 --> 00:06:46,370 the transmission spectrum of earth just 158 00:06:52,749 --> 00:06:49,580 as guide your eye the scales arbitrary 159 00:06:54,100 --> 00:06:52,759 for a k0 dwarf the actual amplitude of 160 00:06:55,869 --> 00:06:54,110 these features is about one part per 161 00:06:57,909 --> 00:06:55,879 million that's the blue shaded region 162 00:07:00,399 --> 00:06:57,919 you can barely see and the effect 163 00:07:02,469 --> 00:07:00,409 produced by two percent spot coverage is 164 00:07:07,089 --> 00:07:02,479 about 25 parts per million that's the 165 00:07:08,770 --> 00:07:07,099 blue line if we go to cooler stars we 166 00:07:11,110 --> 00:07:08,780 can get a larger bio signature because 167 00:07:15,430 --> 00:07:11,120 this star smaller but the effect of the 168 00:07:17,350 --> 00:07:15,440 stars heterogeneity is also larger by 169 00:07:20,140 --> 00:07:17,360 the time we get to the mid the M dwarfs 170 00:07:22,089 --> 00:07:20,150 these stars are cool enough that there's 171 00:07:24,820 --> 00:07:22,099 differences in molecular opacity between 172 00:07:26,200 --> 00:07:24,830 the photosphere of the spots and on the 173 00:07:28,510 --> 00:07:26,210 parts per million level those 174 00:07:31,600 --> 00:07:28,520 differences are imparted onto the 175 00:07:33,790 --> 00:07:31,610 spectra that we see and unfortunately 176 00:07:38,010 --> 00:07:33,800 overlap molecular features we're trying 177 00:07:40,689 --> 00:07:38,020 to get from the exoplanet we go to mid M 178 00:07:43,659 --> 00:07:40,699 dwarfs its situation is the same except 179 00:07:45,879 --> 00:07:43,669 now we're getting a much larger Delta G 180 00:07:47,950 --> 00:07:45,889 produced by the planet that's that's 181 00:07:51,249 --> 00:07:47,960 going to help us and finally it's a very 182 00:07:51,850 --> 00:07:51,259 coolest M dwarf our Delta G from the 183 00:07:54,219 --> 00:07:51,860 planet 184 00:07:56,980 --> 00:07:54,229 finally overcomes the Delta G produced 185 00:07:58,629 --> 00:07:56,990 by the star but still we're looking at a 186 00:08:00,580 --> 00:07:58,639 Stiller signal that's a significant 187 00:08:04,180 --> 00:08:00,590 fraction of the planetary signal we're 188 00:08:06,279 --> 00:08:04,190 trying to measure for the case of faculy 189 00:08:09,399 --> 00:08:06,289 it's pretty much the same but in Reverse 190 00:08:11,800 --> 00:08:09,409 faculty will decrease your transit 191 00:08:16,870 --> 00:08:11,810 deaths so we have negative Delta DS here 192 00:08:19,120 --> 00:08:16,880 and it's largely a relatively flat 193 00:08:21,610 --> 00:08:19,130 signal for the larger stars and when you 194 00:08:25,779 --> 00:08:21,620 get to cool stars faculty can impart 195 00:08:27,550 --> 00:08:25,789 molecular features on your spectra so 196 00:08:31,120 --> 00:08:27,560 what if we look at high-resolution 197 00:08:35,110 --> 00:08:31,130 optical measurements so here I'm showing 198 00:08:37,690 --> 00:08:35,120 a much higher resolution spectrum we're 199 00:08:41,260 --> 00:08:37,700 only looking at point zero one microns 200 00:08:43,930 --> 00:08:41,270 instead of five microns and in grey this 201 00:08:45,880 --> 00:08:43,940 is the structure of the oxygen to a band 202 00:08:47,920 --> 00:08:45,890 at an arbitrary scale again it's 203 00:08:51,069 --> 00:08:47,930 actually one part per million at this 204 00:08:53,980 --> 00:08:51,079 level for the k0 Dorf we get a signal 205 00:08:55,900 --> 00:08:53,990 from the star that's pretty flat across 206 00:08:57,699 --> 00:08:55,910 this narrow range which is good might be 207 00:09:00,660 --> 00:08:57,709 easy to take out but it's about 80 times 208 00:09:02,880 --> 00:09:00,670 larger than the planetary signal 209 00:09:04,950 --> 00:09:02,890 and the picture the same as you go to 210 00:09:07,410 --> 00:09:04,960 cooler Dwarfs you start getting more and 211 00:09:14,040 --> 00:09:07,420 more molecular features and parted on to 212 00:09:18,290 --> 00:09:14,050 your spectra and unfortunately the o2 a 213 00:09:22,350 --> 00:09:18,300 van is in the same spectral space as the 214 00:09:24,540 --> 00:09:22,360 strong potassium doublet and for mid and 215 00:09:27,600 --> 00:09:24,550 late M dwarfs there's differences in 216 00:09:29,970 --> 00:09:27,610 potassium opacity that can change your 217 00:09:34,950 --> 00:09:29,980 spectra on the order of 100 parts per 218 00:09:38,400 --> 00:09:34,960 million and again vacuole II have the 219 00:09:40,700 --> 00:09:38,410 opposite effect and since I'm just using 220 00:09:43,980 --> 00:09:40,710 two percent faculty in two percent spots 221 00:09:46,080 --> 00:09:43,990 faculty are hotter they can put out more 222 00:09:49,530 --> 00:09:46,090 stellar light so they end up making a 223 00:09:52,710 --> 00:09:49,540 larger impact just assuming two percent 224 00:09:55,320 --> 00:09:52,720 coverage and we can for the mid and late 225 00:09:57,270 --> 00:09:55,330 M dwarf so we can change our transit 226 00:10:02,760 --> 00:09:57,280 depth on the order of thousands of parts 227 00:10:06,270 --> 00:10:02,770 per million so to summarize we looked at 228 00:10:09,060 --> 00:10:06,280 K 0 to M 9 and we simulated the effect 229 00:10:10,980 --> 00:10:09,070 of spots and this kind of spot coverage 230 00:10:13,920 --> 00:10:10,990 if you integrate it over the Iban would 231 00:10:17,310 --> 00:10:13,930 produce a rotational variation on the 232 00:10:18,840 --> 00:10:17,320 order of a half to 1% and the signals 233 00:10:22,470 --> 00:10:18,850 we'd be looking from the planet are 234 00:10:25,560 --> 00:10:22,480 about 1 to 160 parts per million and the 235 00:10:27,690 --> 00:10:25,570 near-infrared the stellar signal from 236 00:10:30,750 --> 00:10:27,700 that corresponds of these variabilities 237 00:10:34,050 --> 00:10:30,760 is much larger than the planetary signal 238 00:10:36,090 --> 00:10:34,060 for all but the latest M dwarfs and in 239 00:10:42,030 --> 00:10:36,100 the optical the stellar signal is always 240 00:10:45,600 --> 00:10:42,040 larger picture is the same for faculty 241 00:10:47,730 --> 00:10:45,610 but was reduced but with opposite signs 242 00:10:49,230 --> 00:10:47,740 and the effects a little bit larger 243 00:10:51,120 --> 00:10:49,240 because I'm just again assuming 2 244 00:10:54,810 --> 00:10:51,130 percent coverage not scaling for the 245 00:10:55,800 --> 00:10:54,820 actual photometry so the main point you 246 00:10:58,380 --> 00:10:55,810 should take away from this is that 247 00:11:00,270 --> 00:10:58,390 stellar photo spheric heterogeneity 248 00:11:02,520 --> 00:11:00,280 detects all transmission spectra and 249 00:11:04,590 --> 00:11:02,530 it's just a it's a matter of scale and 250 00:11:07,170 --> 00:11:04,600 when we try to get these really high 251 00:11:09,150 --> 00:11:07,180 precision measurements from exoplanets 252 00:11:12,480 --> 00:11:09,160 it's going to affect all transmission 253 00:11:14,220 --> 00:11:12,490 spectra that we try to get variability 254 00:11:16,830 --> 00:11:14,230 on the 1% level 255 00:11:19,080 --> 00:11:16,840 we'll pit two spectral features in your 256 00:11:21,900 --> 00:11:19,090 near infrared spectra on the 10 to 100 257 00:11:24,630 --> 00:11:21,910 ppm level and unfortunately the 258 00:11:27,000 --> 00:11:24,640 potassium doublet and the coincidence of 259 00:11:29,720 --> 00:11:27,010 the oxygen to a band is going to really 260 00:11:35,520 --> 00:11:29,730 complicate optical high-resolution 261 00:11:37,050 --> 00:11:35,530 observations so as we're planning to 262 00:11:40,440 --> 00:11:37,060 take these destined to get 263 00:11:42,600 --> 00:11:40,450 high-precision measurements of exoplanet 264 00:11:45,060 --> 00:11:42,610 atmospheres we should also try to 265 00:11:47,580 --> 00:11:45,070 understand stellar photo spheres to that 266 00:11:54,360 --> 00:11:47,590 same level of precision and thank you 267 00:11:56,880 --> 00:11:54,370 for your attention we have time for a 268 00:11:59,580 --> 00:11:56,890 couple questions and I want to start 269 00:12:02,910 --> 00:11:59,590 with one which is did you look at the 270 00:12:04,470 --> 00:12:02,920 point 6 9 micron oxygen ban or the 1.2 7 271 00:12:06,090 --> 00:12:04,480 micron oxygen band which may not have 272 00:12:08,690 --> 00:12:06,100 the problems with the potassium doubled 273 00:12:12,630 --> 00:12:08,700 overlap I only looked at the point 6 9 274 00:12:15,060 --> 00:12:12,640 for this because that was the the ideas 275 00:12:16,740 --> 00:12:15,070 you could get it from the ground with 276 00:12:19,380 --> 00:12:16,750 the high resolution measurement I 277 00:12:22,040 --> 00:12:19,390 haven't looked at the near-infrared 278 00:12:28,950 --> 00:12:22,050 oxygen Banias thank you as well 279 00:12:31,890 --> 00:12:28,960 yeah on ok thanks for the great talk um 280 00:12:33,960 --> 00:12:31,900 it seems though that observing the 281 00:12:36,510 --> 00:12:33,970 parent star and having a good 282 00:12:38,610 --> 00:12:36,520 understanding of spectral features for 283 00:12:41,400 --> 00:12:38,620 stellar atmospheres can just help you 284 00:12:43,320 --> 00:12:41,410 remove or account for these effects you 285 00:12:45,360 --> 00:12:43,330 you have variability of course which is 286 00:12:47,700 --> 00:12:45,370 the key factor but otherwise they're 287 00:12:49,980 --> 00:12:47,710 stable if they're stable you can just 288 00:12:51,840 --> 00:12:49,990 account for them in your modeling and 289 00:12:54,780 --> 00:12:51,850 you'll still see the transit feature in 290 00:12:57,300 --> 00:12:54,790 the same way that correcting explain how 291 00:12:59,130 --> 00:12:57,310 exactly it would affect in different 292 00:13:02,420 --> 00:12:59,140 circumstances your final results yeah 293 00:13:06,510 --> 00:13:02,430 so the complicated thing is with 294 00:13:09,300 --> 00:13:06,520 photometry we're we're what we have to 295 00:13:11,550 --> 00:13:09,310 assume is that the brightest photometry 296 00:13:13,620 --> 00:13:11,560 we see corresponds to an immaculate 297 00:13:16,320 --> 00:13:13,630 photosphere with no features and that's 298 00:13:19,080 --> 00:13:16,330 kind of in the case of 189 to hot 299 00:13:20,940 --> 00:13:19,090 Jupiter spectrum that I showed that was 300 00:13:24,000 --> 00:13:20,950 the assumption that the authors took so 301 00:13:24,560 --> 00:13:24,010 we have a we have immaculate photosphere 302 00:13:26,690 --> 00:13:24,570 and then 303 00:13:28,520 --> 00:13:26,700 at the different points that we measured 304 00:13:29,870 --> 00:13:28,530 our actual data we can take the 305 00:13:32,480 --> 00:13:29,880 brightness of the star at that point and 306 00:13:35,150 --> 00:13:32,490 correct for they set and they did that 307 00:13:37,340 --> 00:13:35,160 they thought that the cellar photos 308 00:13:39,080 --> 00:13:37,350 great had about two percent coverage but 309 00:13:41,480 --> 00:13:39,090 Nicola doll showed that in reality 310 00:13:44,620 --> 00:13:41,490 there's there's a latitudinal ban of uh 311 00:13:47,690 --> 00:13:44,630 Nicole tada that don't contribute the 312 00:13:49,790 --> 00:13:47,700 photometric modulations because they are 313 00:13:52,820 --> 00:13:49,800 actually symmetric and they are 314 00:13:56,870 --> 00:13:52,830 affecting the riffle resulting spectrum 315 00:13:59,390 --> 00:13:56,880 so there one way we can attack this is 316 00:14:02,210 --> 00:13:59,400 we could we can get much longer 317 00:14:04,250 --> 00:14:02,220 photometric monitoring campaigns and we 318 00:14:05,480 --> 00:14:04,260 can you know increase our chances that 319 00:14:07,790 --> 00:14:05,490 we're actually going to see the star 320 00:14:10,340 --> 00:14:07,800 when it has this immaculate photosphere 321 00:14:11,750 --> 00:14:10,350 we have our zero point but other than 322 00:14:14,560 --> 00:14:11,760 that if we don't know what the zero 323 00:14:17,690 --> 00:14:14,570 point is it's not going to be possible 324 00:14:20,240 --> 00:14:17,700 maybe Doppler imaging of stars can help 325 00:14:22,670 --> 00:14:20,250 us get to that I think you want really 326 00:14:25,040 --> 00:14:22,680 quick much simply just quickly nice 327 00:14:27,050 --> 00:14:25,050 simulations I think would be important 328 00:14:29,180 --> 00:14:27,060 to include magnetic fields because they 329 00:14:31,790 --> 00:14:29,190 will affect the depth of the molecular 330 00:14:33,860 --> 00:14:31,800 bands which you calculated that will be 331 00:14:35,060 --> 00:14:33,870 for M dwarfs very important yeah yeah 332 00:14:36,590 --> 00:14:35,070 I'd love to talk to you about that I'm