********************************************************************** * * * I E R S B U L L E T I N - A * * * * Rapid Service/Prediction of Earth Orientation * ********************************************************************** 30 July 2020 Vol. XXXIII No. 031 ______________________________________________________________________ GENERAL INFORMATION: To receive this information electronically, contact: ser7@maia.usno.navy.mil or use MJD = Julian Date - 2 400 000.5 days UT2-UT1 = 0.022 sin(2*pi*T) - 0.012 cos(2*pi*T) - 0.006 sin(4*pi*T) + 0.007 cos(4*pi*T) where pi = 3.14159265... and T is the date in Besselian years. TT = TAI + 32.184 seconds DUT1= (UT1-UTC) transmitted with time signals = -0.2 seconds beginning 02 May 2019 at 0000 UTC Beginning 1 January 2017: TAI-UTC = 37.000 000 seconds *********************************************************************** * * * There will NOT be a leap second introduced * * in UTC on 31 December 2020 * * * * Notice of Publication Web and FTP Shutdown: * * The US Naval Observatory's Rapid Service/Prediction Center web and * * FTP sites (at maia.usno.navy.mil and toshi.nofs.navy.mil) must * * undergo modernization and have been offline since 24 October 2019. * * The expected completion of work and return of service is no earlier * * than Autumn of 2020 . Please visit https://www.usno.navy.mil and * * submit a Requirements Form to the USNO Public Affairs Official * * (PAO) if the information you are seeking is not accessible via * * another means. If the Requirements Form is not available, please * * contact the USNO PAO Geoff Chester at email address directly * * geoff.chester@navy.mil or phone number 202 762 1438. * * * * Although the Bulletin A makes several references to maia, one * * should note that the paragraph above supercedes any information * * that is contained in the Bulletin A text. Because some users mis- * * takenly use Bulletin A (ser7.dat) instead of other formats (such as * * finals2000A.daily) for operational, machine-to-machine uses, we * * do not wish to change the spacing or text of the files. In the * * past, when spacings had changed, users had stated that any change * * to the Bulletin format outside of this remarks area had broken * * their operations. Therefore, we have not removed the old references * * to maia within the text of the Bulletin A (ser7.dat file). * * * * This shutdown has lead to the indefinite cessation of IERS * * Bulletin A distribution emails. If this occurs, current * * subscribers to the Bulletin A email distribution list may receive * * future mailings from a different address (if this service is * * restored). In the meantime, we will be unable to process email * * subscription/unsubscription requests. * * * * Until 31 Oct 2020, updated EOPs may be available at NASA's Archive * * of Space Geodesy Data anonymous FTP server at: * * ftp://cddis.gsfc.nasa.gov/pub/products/iers * * Daily EOP data may be uploaded here by 18:00 UTC, and * * Bulletin A EOP data may be available by 20:00 UTC. * * Users should please verify results obtained from this site; * * we cannot guarantee the integrity or timeliness of files provided * * at this mirror site. * * * * Please note that CDDIS is reporting that as of 31 Oct 2020, all * * unencrypted ftp service will be permanently discontinued at CDDIS. * * * * For other download options from CDDIS, such as HTTPS, please refer * * to the https://cddis.nasa.gov/About/CDDIS_File_Download_FAQ.html * * * * In addition, updated EOPs may be available at IERS: * * https://datacenter.iers.org/eop.php * * EOP data files are uploaded directly from USNO to this site each * * day. For further information, contact the IERS directly. * * * * Questions and enquiries about EOPs can be emailed to the * * following address: * * usn.ncr.navobsydc.mbx.eopcp@mail.mil * * * * Distribution statement A. * * Approved for public release: distribution unlimited. * * * *********************************************************************** ________________________________________________________________________ The contributed observations used in the preparation of this Bulletin are available at . The contributed analysis results are based on data from Very Long Baseline Interferometry (VLBI), Satellite Laser Ranging (SLR), the Global Positioning System (GPS) satellites, Lunar Laser Ranging (LLR), and meteorological predictions of variations in Atmospheric Angular Momentum (AAM). ________________________________________________________________________ COMBINED EARTH ORIENTATION PARAMETERS: IERS Rapid Service MJD x error y error UT1-UTC error " " " " s s 20 7 24 59054 0.19637 .00009 0.40402 .00009 -0.213991 0.000011 20 7 25 59055 0.19717 .00009 0.40285 .00009 -0.213430 0.000012 20 7 26 59056 0.19775 .00009 0.40169 .00009 -0.212964 0.000011 20 7 27 59057 0.19805 .00009 0.40052 .00009 -0.212468 0.000014 20 7 28 59058 0.19824 .00009 0.39935 .00009 -0.211859 0.000015 20 7 29 59059 0.19863 .00009 0.39821 .00009 -0.211100 0.000017 20 7 30 59060 0.19920 .00009 0.39715 .00009 -0.210196 0.000018 _______________________________________________________________________ PREDICTIONS: The following formulas will not reproduce the predictions given below, but may be used to extend the predictions beyond the end of this table. x = 0.1190 + 0.0724 cos A + 0.0540 sin A + 0.0073 cos C - 0.0030 sin C y = 0.3541 + 0.0485 cos A - 0.0700 sin A - 0.0030 cos C - 0.0073 sin C UT1-UTC = -0.2115 - 0.00010 (MJD - 59068) - (UT2-UT1) where A = 2*pi*(MJD-59060)/365.25 and C = 2*pi*(MJD-59060)/435. TAI-UTC(MJD 59061) = 37.0 The accuracy may be estimated from the expressions: S x,y = 0.00068 (MJD-59060)**0.80 S t = 0.00025 (MJD-59060)**0.75 Estimated accuracies are: Predictions 10 d 20 d 30 d 40 d Polar coord's 0.004 0.007 0.010 0.013 UT1-UTC 0.0014 0.0024 0.0032 0.0040 MJD x(arcsec) y(arcsec) UT1-UTC(sec) 2020 7 31 59061 0.1998 0.3960 -0.20921 2020 8 1 59062 0.2005 0.3949 -0.20818 2020 8 2 59063 0.2012 0.3938 -0.20714 2020 8 3 59064 0.2018 0.3927 -0.20617 2020 8 4 59065 0.2024 0.3915 -0.20530 2020 8 5 59066 0.2030 0.3903 -0.20457 2020 8 6 59067 0.2035 0.3891 -0.20398 2020 8 7 59068 0.2041 0.3879 -0.20351 2020 8 8 59069 0.2047 0.3867 -0.20311 2020 8 9 59070 0.2053 0.3854 -0.20274 2020 8 10 59071 0.2058 0.3842 -0.20233 2020 8 11 59072 0.2064 0.3830 -0.20182 2020 8 12 59073 0.2069 0.3817 -0.20114 2020 8 13 59074 0.2074 0.3805 -0.20028 2020 8 14 59075 0.2078 0.3792 -0.19927 2020 8 15 59076 0.2083 0.3780 -0.19816 2020 8 16 59077 0.2087 0.3767 -0.19702 2020 8 17 59078 0.2091 0.3754 -0.19590 2020 8 18 59079 0.2095 0.3741 -0.19491 2020 8 19 59080 0.2099 0.3728 -0.19413 2020 8 20 59081 0.2102 0.3715 -0.19358 2020 8 21 59082 0.2105 0.3701 -0.19328 2020 8 22 59083 0.2108 0.3688 -0.19314 2020 8 23 59084 0.2111 0.3675 -0.19304 2020 8 24 59085 0.2113 0.3661 -0.19285 2020 8 25 59086 0.2115 0.3648 -0.19249 2020 8 26 59087 0.2117 0.3634 -0.19191 2020 8 27 59088 0.2119 0.3621 -0.19114 2020 8 28 59089 0.2120 0.3607 -0.19023 2020 8 29 59090 0.2121 0.3594 -0.18926 2020 8 30 59091 0.2122 0.3580 -0.18832 2020 8 31 59092 0.2122 0.3567 -0.18746 2020 9 1 59093 0.2123 0.3553 -0.18674 2020 9 2 59094 0.2122 0.3539 -0.18618 2020 9 3 59095 0.2122 0.3526 -0.18575 2020 9 4 59096 0.2122 0.3512 -0.18542 2020 9 5 59097 0.2121 0.3498 -0.18516 2020 9 6 59098 0.2120 0.3484 -0.18491 2020 9 7 59099 0.2118 0.3471 -0.18464 2020 9 8 59100 0.2116 0.3457 -0.18432 2020 9 9 59101 0.2115 0.3443 -0.18391 2020 9 10 59102 0.2112 0.3430 -0.18342 2020 9 11 59103 0.2110 0.3416 -0.18286 2020 9 12 59104 0.2107 0.3402 -0.18228 2020 9 13 59105 0.2104 0.3389 -0.18174 2020 9 14 59106 0.2100 0.3375 -0.18133 2020 9 15 59107 0.2097 0.3362 -0.18114 2020 9 16 59108 0.2093 0.3348 -0.18124 2020 9 17 59109 0.2089 0.3335 -0.18166 2020 9 18 59110 0.2084 0.3321 -0.18233 2020 9 19 59111 0.2080 0.3308 -0.18312 2020 9 20 59112 0.2075 0.3295 -0.18389 2020 9 21 59113 0.2069 0.3282 -0.18449 2020 9 22 59114 0.2064 0.3269 -0.18486 2020 9 23 59115 0.2058 0.3256 -0.18499 2020 9 24 59116 0.2052 0.3243 -0.18493 2020 9 25 59117 0.2046 0.3230 -0.18477 2020 9 26 59118 0.2039 0.3217 -0.18460 2020 9 27 59119 0.2032 0.3204 -0.18450 2020 9 28 59120 0.2025 0.3192 -0.18451 2020 9 29 59121 0.2018 0.3179 -0.18466 2020 9 30 59122 0.2010 0.3167 -0.18492 2020 10 1 59123 0.2002 0.3154 -0.18529 2020 10 2 59124 0.1994 0.3142 -0.18572 2020 10 3 59125 0.1986 0.3130 -0.18616 2020 10 4 59126 0.1977 0.3118 -0.18656 2020 10 5 59127 0.1968 0.3106 -0.18688 2020 10 6 59128 0.1959 0.3095 -0.18711 2020 10 7 59129 0.1950 0.3083 -0.18722 2020 10 8 59130 0.1940 0.3072 -0.18723 2020 10 9 59131 0.1930 0.3061 -0.18718 2020 10 10 59132 0.1920 0.3049 -0.18712 2020 10 11 59133 0.1910 0.3038 -0.18711 2020 10 12 59134 0.1900 0.3028 -0.18725 2020 10 13 59135 0.1889 0.3017 -0.18762 2020 10 14 59136 0.1878 0.3006 -0.18828 2020 10 15 59137 0.1867 0.2996 -0.18920 2020 10 16 59138 0.1856 0.2986 -0.19031 2020 10 17 59139 0.1844 0.2976 -0.19147 2020 10 18 59140 0.1832 0.2966 -0.19252 2020 10 19 59141 0.1820 0.2956 -0.19334 2020 10 20 59142 0.1808 0.2947 -0.19389 2020 10 21 59143 0.1796 0.2938 -0.19419 2020 10 22 59144 0.1783 0.2928 -0.19434 2020 10 23 59145 0.1771 0.2920 -0.19444 2020 10 24 59146 0.1758 0.2911 -0.19458 2020 10 25 59147 0.1745 0.2902 -0.19482 2020 10 26 59148 0.1731 0.2894 -0.19518 2020 10 27 59149 0.1718 0.2886 -0.19567 2020 10 28 59150 0.1704 0.2878 -0.19625 2020 10 29 59151 0.1691 0.2870 -0.19691 2020 10 30 59152 0.1677 0.2863 -0.19759 2020 10 31 59153 0.1663 0.2855 -0.19823 2020 11 1 59154 0.1648 0.2848 -0.19879 2020 11 2 59155 0.1634 0.2841 -0.19923 2020 11 3 59156 0.1620 0.2835 -0.19952 2020 11 4 59157 0.1605 0.2828 -0.19969 2020 11 5 59158 0.1590 0.2822 -0.19976 2020 11 6 59159 0.1575 0.2816 -0.19978 2020 11 7 59160 0.1560 0.2810 -0.19983 2020 11 8 59161 0.1545 0.2805 -0.19998 2020 11 9 59162 0.1530 0.2800 -0.20031 2020 11 10 59163 0.1514 0.2795 -0.20089 2020 11 11 59164 0.1499 0.2790 -0.20175 2020 11 12 59165 0.1483 0.2785 -0.20284 2020 11 13 59166 0.1468 0.2781 -0.20405 2020 11 14 59167 0.1452 0.2777 -0.20525 2020 11 15 59168 0.1436 0.2773 -0.20628 2020 11 16 59169 0.1420 0.2769 -0.20697 2020 11 17 59170 0.1404 0.2766 -0.20740 2020 11 18 59171 0.1388 0.2763 -0.20761 2020 11 19 59172 0.1372 0.2760 -0.20771 2020 11 20 59173 0.1356 0.2757 -0.20780 2020 11 21 59174 0.1340 0.2755 -0.20796 2020 11 22 59175 0.1323 0.2753 -0.20822 2020 11 23 59176 0.1307 0.2751 -0.20860 2020 11 24 59177 0.1291 0.2750 -0.20907 2020 11 25 59178 0.1274 0.2748 -0.20960 2020 11 26 59179 0.1258 0.2747 -0.21015 2020 11 27 59180 0.1241 0.2746 -0.21068 2020 11 28 59181 0.1225 0.2746 -0.21112 2020 11 29 59182 0.1208 0.2746 -0.21145 2020 11 30 59183 0.1192 0.2746 -0.21164 2020 12 1 59184 0.1175 0.2746 -0.21170 2020 12 2 59185 0.1159 0.2746 -0.21163 2020 12 3 59186 0.1142 0.2747 -0.21150 2020 12 4 59187 0.1125 0.2748 -0.21136 2020 12 5 59188 0.1109 0.2749 -0.21129 2020 12 6 59189 0.1092 0.2751 -0.21138 2020 12 7 59190 0.1076 0.2753 -0.21167 2020 12 8 59191 0.1060 0.2755 -0.21219 2020 12 9 59192 0.1043 0.2757 -0.21293 2020 12 10 59193 0.1027 0.2760 -0.21383 2020 12 11 59194 0.1010 0.2763 -0.21475 2020 12 12 59195 0.0994 0.2766 -0.21558 2020 12 13 59196 0.0978 0.2769 -0.21620 2020 12 14 59197 0.0962 0.2773 -0.21656 2020 12 15 59198 0.0946 0.2777 -0.21670 2020 12 16 59199 0.0930 0.2781 -0.21669 2020 12 17 59200 0.0914 0.2785 -0.21664 2020 12 18 59201 0.0898 0.2790 -0.21664 2020 12 19 59202 0.0882 0.2795 -0.21674 2020 12 20 59203 0.0866 0.2800 -0.21696 2020 12 21 59204 0.0851 0.2805 -0.21729 2020 12 22 59205 0.0835 0.2811 -0.21769 2020 12 23 59206 0.0820 0.2817 -0.21811 2020 12 24 59207 0.0805 0.2823 -0.21852 2020 12 25 59208 0.0790 0.2829 -0.21886 2020 12 26 59209 0.0774 0.2836 -0.21909 2020 12 27 59210 0.0760 0.2843 -0.21919 2020 12 28 59211 0.0745 0.2850 -0.21916 2020 12 29 59212 0.0730 0.2857 -0.21900 2020 12 30 59213 0.0716 0.2865 -0.21876 2020 12 31 59214 0.0701 0.2873 -0.21850 2021 1 1 59215 0.0687 0.2881 -0.21830 2021 1 2 59216 0.0673 0.2889 -0.21824 2021 1 3 59217 0.0659 0.2898 -0.21838 2021 1 4 59218 0.0645 0.2907 -0.21874 2021 1 5 59219 0.0632 0.2916 -0.21930 2021 1 6 59220 0.0618 0.2925 -0.22002 2021 1 7 59221 0.0605 0.2934 -0.22078 2021 1 8 59222 0.0592 0.2944 -0.22147 2021 1 9 59223 0.0579 0.2954 -0.22201 2021 1 10 59224 0.0566 0.2964 -0.22233 2021 1 11 59225 0.0554 0.2974 -0.22243 2021 1 12 59226 0.0541 0.2985 -0.22237 2021 1 13 59227 0.0529 0.2995 -0.22224 2021 1 14 59228 0.0517 0.3006 -0.22216 2021 1 15 59229 0.0506 0.3017 -0.22217 2021 1 16 59230 0.0494 0.3029 -0.22233 2021 1 17 59231 0.0483 0.3040 -0.22261 2021 1 18 59232 0.0472 0.3052 -0.22300 2021 1 19 59233 0.0461 0.3064 -0.22343 2021 1 20 59234 0.0450 0.3076 -0.22385 2021 1 21 59235 0.0440 0.3088 -0.22423 2021 1 22 59236 0.0430 0.3100 -0.22451 2021 1 23 59237 0.0420 0.3113 -0.22466 2021 1 24 59238 0.0410 0.3126 -0.22469 2021 1 25 59239 0.0401 0.3138 -0.22459 2021 1 26 59240 0.0392 0.3151 -0.22441 2021 1 27 59241 0.0383 0.3165 -0.22420 2021 1 28 59242 0.0374 0.3178 -0.22403 2021 1 29 59243 0.0366 0.3192 -0.22399 2021 1 30 59244 0.0357 0.3205 -0.22415 2021 1 31 59245 0.0349 0.3219 -0.22455 2021 2 1 59246 0.0342 0.3233 -0.22518 2021 2 2 59247 0.0334 0.3247 -0.22597 2021 2 3 59248 0.0327 0.3261 -0.22682 2021 2 4 59249 0.0320 0.3276 -0.22762 2021 2 5 59250 0.0314 0.3290 -0.22827 2021 2 6 59251 0.0308 0.3305 -0.22872 2021 2 7 59252 0.0302 0.3319 -0.22897 2021 2 8 59253 0.0296 0.3334 -0.22907 2021 2 9 59254 0.0290 0.3349 -0.22909 2021 2 10 59255 0.0285 0.3364 -0.22915 2021 2 11 59256 0.0280 0.3379 -0.22930 2021 2 12 59257 0.0276 0.3394 -0.22961 2021 2 13 59258 0.0271 0.3409 -0.23008 2021 2 14 59259 0.0267 0.3425 -0.23070 2021 2 15 59260 0.0264 0.3440 -0.23141 2021 2 16 59261 0.0260 0.3456 -0.23218 2021 2 17 59262 0.0257 0.3471 -0.23297 2021 2 18 59263 0.0254 0.3487 -0.23373 2021 2 19 59264 0.0252 0.3503 -0.23443 2021 2 20 59265 0.0249 0.3518 -0.23505 2021 2 21 59266 0.0247 0.3534 -0.23559 2021 2 22 59267 0.0246 0.3550 -0.23607 2021 2 23 59268 0.0244 0.3566 -0.23651 2021 2 24 59269 0.0243 0.3582 -0.23696 2021 2 25 59270 0.0243 0.3598 -0.23751 2021 2 26 59271 0.0242 0.3614 -0.23821 2021 2 27 59272 0.0242 0.3630 -0.23910 2021 2 28 59273 0.0242 0.3646 -0.24017 2021 3 1 59274 0.0243 0.3662 -0.24136 2021 3 2 59275 0.0244 0.3678 -0.24258 2021 3 3 59276 0.0245 0.3694 -0.24371 2021 3 4 59277 0.0246 0.3710 -0.24464 2021 3 5 59278 0.0248 0.3726 -0.24529 2021 3 6 59279 0.0250 0.3742 -0.24568 2021 3 7 59280 0.0252 0.3758 -0.24588 2021 3 8 59281 0.0255 0.3774 -0.24601 2021 3 9 59282 0.0258 0.3790 -0.24618 2021 3 10 59283 0.0261 0.3806 -0.24653 2021 3 11 59284 0.0264 0.3822 -0.24711 2021 3 12 59285 0.0268 0.3837 -0.24783 2021 3 13 59286 0.0272 0.3853 -0.24873 2021 3 14 59287 0.0277 0.3869 -0.24977 2021 3 15 59288 0.0282 0.3885 -0.25087 2021 3 16 59289 0.0287 0.3900 -0.25195 2021 3 17 59290 0.0292 0.3916 -0.25294 2021 3 18 59291 0.0298 0.3931 -0.25381 2021 3 19 59292 0.0304 0.3947 -0.25453 2021 3 20 59293 0.0310 0.3962 -0.25509 2021 3 21 59294 0.0316 0.3977 -0.25551 2021 3 22 59295 0.0323 0.3993 -0.25583 2021 3 23 59296 0.0330 0.4008 -0.25612 2021 3 24 59297 0.0338 0.4023 -0.25641 2021 3 25 59298 0.0345 0.4038 -0.25680 2021 3 26 59299 0.0353 0.4052 -0.25735 2021 3 27 59300 0.0362 0.4067 -0.25816 2021 3 28 59301 0.0370 0.4082 -0.25918 2021 3 29 59302 0.0379 0.4096 -0.26030 2021 3 30 59303 0.0388 0.4111 -0.26146 2021 3 31 59304 0.0397 0.4125 -0.26253 2021 4 1 59305 0.0407 0.4139 -0.26340 2021 4 2 59306 0.0417 0.4153 -0.26399 2021 4 3 59307 0.0427 0.4167 -0.26433 2021 4 4 59308 0.0437 0.4180 -0.26451 2021 4 5 59309 0.0448 0.4194 -0.26462 2021 4 6 59310 0.0459 0.4207 -0.26483 2021 4 7 59311 0.0470 0.4220 -0.26522 2021 4 8 59312 0.0482 0.4233 -0.26574 2021 4 9 59313 0.0493 0.4246 -0.26636 2021 4 10 59314 0.0505 0.4259 -0.26708 2021 4 11 59315 0.0518 0.4271 -0.26786 2021 4 12 59316 0.0530 0.4284 -0.26868 2021 4 13 59317 0.0543 0.4296 -0.26946 2021 4 14 59318 0.0556 0.4308 -0.27011 2021 4 15 59319 0.0569 0.4320 -0.27059 2021 4 16 59320 0.0582 0.4331 -0.27092 2021 4 17 59321 0.0596 0.4343 -0.27108 2021 4 18 59322 0.0609 0.4354 -0.27107 2021 4 19 59323 0.0623 0.4365 -0.27094 2021 4 20 59324 0.0638 0.4376 -0.27087 2021 4 21 59325 0.0652 0.4386 -0.27094 2021 4 22 59326 0.0667 0.4397 -0.27117 2021 4 23 59327 0.0681 0.4407 -0.27165 2021 4 24 59328 0.0697 0.4417 -0.27243 2021 4 25 59329 0.0712 0.4427 -0.27342 2021 4 26 59330 0.0727 0.4436 -0.27445 2021 4 27 59331 0.0743 0.4445 -0.27545 2021 4 28 59332 0.0758 0.4454 -0.27628 2021 4 29 59333 0.0774 0.4463 -0.27691 2021 4 30 59334 0.0790 0.4472 -0.27734 2021 5 1 59335 0.0807 0.4480 -0.27755 2021 5 2 59336 0.0823 0.4488 -0.27765 2021 5 3 59337 0.0840 0.4496 -0.27773 2021 5 4 59338 0.0856 0.4503 -0.27789 2021 5 5 59339 0.0873 0.4511 -0.27819 2021 5 6 59340 0.0890 0.4518 -0.27860 2021 5 7 59341 0.0907 0.4525 -0.27907 2021 5 8 59342 0.0925 0.4531 -0.27952 2021 5 9 59343 0.0942 0.4537 -0.27992 2021 5 10 59344 0.0960 0.4544 -0.28021 2021 5 11 59345 0.0977 0.4549 -0.28037 2021 5 12 59346 0.0995 0.4555 -0.28042 2021 5 13 59347 0.1013 0.4560 -0.28026 2021 5 14 59348 0.1031 0.4565 -0.27989 2021 5 15 59349 0.1049 0.4570 -0.27934 2021 5 16 59350 0.1067 0.4574 -0.27869 2021 5 17 59351 0.1085 0.4578 -0.27802 2021 5 18 59352 0.1103 0.4582 -0.27743 2021 5 19 59353 0.1122 0.4586 -0.27704 2021 5 20 59354 0.1140 0.4589 -0.27687 2021 5 21 59355 0.1159 0.4592 -0.27694 2021 5 22 59356 0.1177 0.4595 -0.27721 2021 5 23 59357 0.1196 0.4597 -0.27763 2021 5 24 59358 0.1214 0.4599 -0.27810 2021 5 25 59359 0.1233 0.4601 -0.27851 2021 5 26 59360 0.1252 0.4603 -0.27873 2021 5 27 59361 0.1271 0.4604 -0.27868 2021 5 28 59362 0.1289 0.4605 -0.27839 2021 5 29 59363 0.1308 0.4606 -0.27791 2021 5 30 59364 0.1327 0.4606 -0.27734 2021 5 31 59365 0.1346 0.4607 -0.27676 2021 6 1 59366 0.1365 0.4606 -0.27622 2021 6 2 59367 0.1384 0.4606 -0.27574 2021 6 3 59368 0.1403 0.4605 -0.27533 2021 6 4 59369 0.1421 0.4604 -0.27496 2021 6 5 59370 0.1440 0.4603 -0.27453 2021 6 6 59371 0.1459 0.4601 -0.27401 2021 6 7 59372 0.1478 0.4600 -0.27338 2021 6 8 59373 0.1496 0.4597 -0.27261 2021 6 9 59374 0.1515 0.4595 -0.27168 2021 6 10 59375 0.1534 0.4592 -0.27056 2021 6 11 59376 0.1552 0.4589 -0.26930 2021 6 12 59377 0.1571 0.4586 -0.26795 2021 6 13 59378 0.1589 0.4582 -0.26654 2021 6 14 59379 0.1608 0.4578 -0.26524 2021 6 15 59380 0.1626 0.4574 -0.26416 2021 6 16 59381 0.1644 0.4570 -0.26329 2021 6 17 59382 0.1662 0.4565 -0.26267 2021 6 18 59383 0.1681 0.4560 -0.26230 2021 6 19 59384 0.1699 0.4555 -0.26208 2021 6 20 59385 0.1716 0.4549 -0.26186 2021 6 21 59386 0.1734 0.4543 -0.26154 2021 6 22 59387 0.1752 0.4537 -0.26103 2021 6 23 59388 0.1769 0.4530 -0.26029 2021 6 24 59389 0.1787 0.4524 -0.25928 2021 6 25 59390 0.1804 0.4517 -0.25809 2021 6 26 59391 0.1821 0.4510 -0.25686 2021 6 27 59392 0.1838 0.4502 -0.25571 2021 6 28 59393 0.1855 0.4494 -0.25471 2021 6 29 59394 0.1872 0.4486 -0.25388 2021 6 30 59395 0.1889 0.4478 -0.25324 2021 7 1 59396 0.1905 0.4469 -0.25276 2021 7 2 59397 0.1921 0.4460 -0.25231 2021 7 3 59398 0.1937 0.4451 -0.25179 2021 7 4 59399 0.1953 0.4442 -0.25117 2021 7 5 59400 0.1969 0.4432 -0.25051 2021 7 6 59401 0.1985 0.4423 -0.24971 2021 7 7 59402 0.2000 0.4412 -0.24880 2021 7 8 59403 0.2015 0.4402 -0.24784 2021 7 9 59404 0.2030 0.4391 -0.24676 2021 7 10 59405 0.2045 0.4381 -0.24568 2021 7 11 59406 0.2060 0.4370 -0.24467 2021 7 12 59407 0.2074 0.4358 -0.24376 2021 7 13 59408 0.2089 0.4347 -0.24297 2021 7 14 59409 0.2103 0.4335 -0.24243 2021 7 15 59410 0.2116 0.4323 -0.24205 2021 7 16 59411 0.2130 0.4311 -0.24179 2021 7 17 59412 0.2143 0.4298 -0.24166 2021 7 18 59413 0.2156 0.4286 -0.24154 2021 7 19 59414 0.2169 0.4273 -0.24133 2021 7 20 59415 0.2182 0.4260 -0.24091 2021 7 21 59416 0.2194 0.4247 -0.24028 2021 7 22 59417 0.2206 0.4233 -0.23950 2021 7 23 59418 0.2218 0.4220 -0.23865 2021 7 24 59419 0.2230 0.4206 -0.23777 2021 7 25 59420 0.2241 0.4192 -0.23698 2021 7 26 59421 0.2252 0.4177 -0.23632 2021 7 27 59422 0.2263 0.4163 -0.23580 2021 7 28 59423 0.2274 0.4148 -0.23540 2021 7 29 59424 0.2284 0.4134 -0.23511 2021 7 30 59425 0.2294 0.4119 -0.23483 These predictions are based on all announced leap seconds. The recommended software to predict celestial pole offsets can be found at and software for the calculation of the dX and dY components with respect to IAU2000A Nutation/Precession Theory can be found at the web site in Chapter 5 Section 5.5 of the IERS Conventions (2010).