Computer Ephemeris for 2020 from DE200/LE200.
Elements of the Annular Solar eclipse - 21 Jun 2020.
2020 Jun 21 6h43m 7.53s Min(gamma) = 0.12141 t = time - 6h40m Geocentric coordinates of the Sun: Right ascension = 60132.805 + t * 10.404 Declination = 232609.727 + t * -0.379 + t * t * -0.022 Parallax = 8.653 Radius = 1544.218 + t * -0.003 Geocentric coordinates of the Moon: Right ascension = 60127.213 + t * 221.037 + t * t * 0.110 Declination = 233253.090 + t * 254.194 + t * t * -3.903 Parallax = 5631.064 + t * 1.388 + t * t * -0.001 Radius = 1524.003 + t * 0.379 Contacts of the eclipse: Begin Semishadow eclipse: 3 47.21 Begin Partial eclipse: 4 48.92 Phase Maximum of eclipse: 6 41.14 End Partial eclipse: 8 33.52 End Semishadow eclipse: 9 35.19 Besselian elements time x y sind cosd ue ui mu 3 20 -1.79256 -0.05414 0.39773 0.91750 0.55222 0.00627 2293235. 3 30 -1.70411 -0.04539 0.39773 0.91750 0.55221 0.00626 2320235. 3 40 -1.61566 -0.03664 0.39773 0.91750 0.55221 0.00625 2343234. 3 50 -1.52720 -0.02791 0.39773 0.91750 0.55220 0.00624 2370234. 4 0 -1.43873 -0.01918 0.39773 0.91750 0.55219 0.00623 2393233. 4 10 -1.35026 -0.01046 0.39773 0.91750 0.55218 0.00622 2420233. 4 20 -1.26178 -0.00175 0.39773 0.91750 0.55217 0.00621 2443232. 4 30 -1.17330 0.00695 0.39773 0.91750 0.55216 0.00620 2470232. 4 40 -1.08482 0.01564 0.39773 0.91750 0.55215 0.00619 2493231. 4 50 -0.99633 0.02432 0.39773 0.91750 0.55213 0.00618 2520231. 5 0 -0.90784 0.03300 0.39773 0.91750 0.55212 0.00617 2543230. 5 10 -0.81934 0.04166 0.39773 0.91750 0.55211 0.00615 2570230. 5 20 -0.73084 0.05032 0.39773 0.91750 0.55209 0.00614 2593229. 5 30 -0.64234 0.05897 0.39772 0.91750 0.55208 0.00613 2620229. 5 40 -0.55383 0.06761 0.39772 0.91751 0.55206 0.00611 2643228. 5 50 -0.46532 0.07624 0.39772 0.91751 0.55205 0.00609 2670227. 6 0 -0.37681 0.08486 0.39772 0.91751 0.55203 0.00608 2693227. 6 10 -0.28829 0.09347 0.39772 0.91751 0.55201 0.00606 2720226. 6 20 -0.19977 0.10208 0.39772 0.91751 0.55200 0.00604 2743226. 6 30 -0.11126 0.11067 0.39772 0.91751 0.55198 0.00603 2770225. 6 40 -0.02273 0.11926 0.39772 0.91751 0.55196 0.00601 2793225. 6 50 0.06579 0.12784 0.39772 0.91751 0.55194 0.00599 2820224. 7 0 0.15431 0.13641 0.39772 0.91751 0.55192 0.00597 2843224. 7 10 0.24284 0.14497 0.39772 0.91751 0.55190 0.00595 2870223. 7 20 0.33137 0.15352 0.39772 0.91751 0.55188 0.00593 2893223. 7 30 0.41990 0.16206 0.39772 0.91751 0.55186 0.00591 2920222. 7 40 0.50843 0.17059 0.39772 0.91751 0.55184 0.00588 2943222. 7 50 0.59696 0.17912 0.39772 0.91751 0.55181 0.00586 2970221. 8 0 0.68549 0.18763 0.39772 0.91751 0.55179 0.00584 2993220. 8 10 0.77402 0.19614 0.39771 0.91751 0.55176 0.00581 3020220. 8 20 0.86255 0.20464 0.39771 0.91751 0.55174 0.00579 3043219. 8 30 0.95108 0.21312 0.39771 0.91751 0.55172 0.00576 3070219. 8 40 1.03961 0.22160 0.39771 0.91751 0.55169 0.00574 3093218. 8 50 1.12814 0.23007 0.39771 0.91751 0.55166 0.00571 3120218. 9 0 1.21667 0.23853 0.39771 0.91751 0.55164 0.00568 3143217. 9 10 1.30520 0.24698 0.39771 0.91751 0.55161 0.00566 3170217. 9 20 1.39373 0.25542 0.39771 0.91751 0.55158 0.00563 3193216. 9 30 1.48225 0.26386 0.39771 0.91751 0.55155 0.00560 3220216. 9 40 1.57078 0.27228 0.39771 0.91751 0.55152 0.00557 3243215. 9 50 1.65930 0.28069 0.39771 0.91751 0.55149 0.00554 3270215. 10 0 1.74782 0.28910 0.39771 0.91751 0.55146 0.00551 3293214. time x' y' 4 0.008847 0.000872 5 0.008849 0.000867 Tan(fi) = 0.00457494 6 0.008851 0.000862 Tan(fe) = 0.00459784 7 0.008853 0.000856 Mu' = 0.00436306 8 0.008853 0.000851 9 0.008853 0.000846