                                                                               
      **********************************************************************   
      *                                                                    *   
      *                   I E R S   B U L L E T I N - A                    *   
      *                                                                    *   
      *           Rapid Service/Prediction of Earth Orientation            *   
      **********************************************************************   
      15 October 2020                                    Vol. XXXIII No. 042   
      ______________________________________________________________________   
      GENERAL INFORMATION:                                                     
         To receive this information electronically, contact:                  
            ser7@maia.usno.navy.mil or use                                     
            <http://maia.usno.navy.mil/docrequest.html>                        
         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                    *
     *                                                                     *
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     ***********************************************************************
     ________________________________________________________________________  
       The contributed observations used in the preparation of this Bulletin   
       are available at <http://www.usno.navy.mil/USNO/earth-orientation/      
       eo-info/general/input-data>. 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 10  9  59131 0.18585 .00009 0.31628 .00009 -0.170978 0.000020          
   20 10 10  59132 0.18451 .00009 0.31500 .00009 -0.170356 0.000016          
   20 10 11  59133 0.18299 .00009 0.31383 .00009 -0.169829 0.000014          
   20 10 12  59134 0.18144 .00009 0.31254 .00009 -0.169435 0.000013          
   20 10 13  59135 0.18014 .00009 0.31137 .00009 -0.169280 0.000010          
   20 10 14  59136 0.17910 .00009 0.31049 .00009 -0.169450 0.000010          
   20 10 15  59137 0.17826 .00009 0.30959 .00009 -0.169930 0.000010          
                                                                               
                              IERS Final Values                                
                               MJD        x        y      UT1-UTC              
                                          "        "         s                 
           20  8  2           59063    0.2026   0.3941  -0.20705       
           20  8  3           59064    0.2039   0.3937  -0.20607       
           20  8  4           59065    0.2050   0.3933  -0.20522       
           20  8  5           59066    0.2061   0.3926  -0.20450       
           20  8  6           59067    0.2071   0.3917  -0.20390       
           20  8  7           59068    0.2080   0.3909  -0.20342       
           20  8  8           59069    0.2088   0.3895  -0.20306       
           20  8  9           59070    0.2099   0.3880  -0.20273       
           20  8 10           59071    0.2110   0.3867  -0.20234       
           20  8 11           59072    0.2120   0.3853  -0.20185       
           20  8 12           59073    0.2131   0.3839  -0.20121       
           20  8 13           59074    0.2144   0.3822  -0.20043       
           20  8 14           59075    0.2152   0.3805  -0.19951       
           20  8 15           59076    0.2157   0.3791  -0.19844       
           20  8 16           59077    0.2162   0.3779  -0.19729       
           20  8 17           59078    0.2168   0.3771  -0.19618       
           20  8 18           59079    0.2172   0.3764  -0.19515       
           20  8 19           59080    0.2171   0.3758  -0.19429       
           20  8 20           59081    0.2167   0.3749  -0.19369       
           20  8 21           59082    0.2168   0.3736  -0.19335       
           20  8 22           59083    0.2169   0.3718  -0.19322       
           20  8 23           59084    0.2176   0.3702  -0.19317       
           20  8 24           59085    0.2184   0.3686  -0.19304       
           20  8 25           59086    0.2188   0.3674  -0.19271       
           20  8 26           59087    0.2188   0.3660  -0.19212       
           20  8 27           59088    0.2185   0.3650  -0.19124       
           20  8 28           59089    0.2184   0.3637  -0.19014       
           20  8 29           59090    0.2182   0.3632  -0.18889       
           20  8 30           59091    0.2175   0.3623  -0.18761       
           20  8 31           59092    0.2168   0.3616  -0.18641       
           20  9  1           59093    0.2159   0.3606  -0.18534       
                                                                               
      _______________________________________________________________________  
                                                                               
      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 =  0.1157 + 0.0532 cos A - 0.0608 sin A + 0.0116 cos C + 0.0041 sin C  
      y =  0.3591 - 0.0573 cos A - 0.0497 sin A + 0.0041 cos C - 0.0116 sin C  
         UT1-UTC = -0.1762 - 0.00003 (MJD - 59145) - (UT2-UT1)                 
                                                                               
      where A = 2*pi*(MJD-59137)/365.25 and C = 2*pi*(MJD-59137)/435.          
                                                                               
         TAI-UTC(MJD 59138) = 37.0                                             
      The accuracy may be estimated from the expressions:                      
      S x,y = 0.00068 (MJD-59137)**0.80   S t = 0.00025 (MJD-59137)**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 10 16  59138       0.1774      0.3087     -0.17063         
       2020 10 17  59139       0.1766      0.3078     -0.17143         
       2020 10 18  59140       0.1757      0.3070     -0.17216         
       2020 10 19  59141       0.1747      0.3061     -0.17267         
       2020 10 20  59142       0.1736      0.3053     -0.17293         
       2020 10 21  59143       0.1725      0.3045     -0.17297         
       2020 10 22  59144       0.1714      0.3037     -0.17288         
       2020 10 23  59145       0.1703      0.3029     -0.17274         
       2020 10 24  59146       0.1692      0.3021     -0.17263         
       2020 10 25  59147       0.1681      0.3013     -0.17258         
       2020 10 26  59148       0.1669      0.3006     -0.17262         
       2020 10 27  59149       0.1658      0.2998     -0.17275         
       2020 10 28  59150       0.1646      0.2992     -0.17293         
       2020 10 29  59151       0.1634      0.2985     -0.17313         
       2020 10 30  59152       0.1622      0.2978     -0.17332         
       2020 10 31  59153       0.1610      0.2972     -0.17346         
       2020 11  1  59154       0.1597      0.2966     -0.17350         
       2020 11  2  59155       0.1585      0.2960     -0.17342         
       2020 11  3  59156       0.1572      0.2954     -0.17319         
       2020 11  4  59157       0.1559      0.2949     -0.17280         
       2020 11  5  59158       0.1546      0.2943     -0.17232         
       2020 11  6  59159       0.1533      0.2938     -0.17180         
       2020 11  7  59160       0.1520      0.2934     -0.17133         
       2020 11  8  59161       0.1506      0.2929     -0.17099         
       2020 11  9  59162       0.1493      0.2924     -0.17084         
       2020 11 10  59163       0.1479      0.2920     -0.17095         
       2020 11 11  59164       0.1466      0.2916     -0.17133         
       2020 11 12  59165       0.1452      0.2913     -0.17194         
       2020 11 13  59166       0.1438      0.2909     -0.17268         
       2020 11 14  59167       0.1424      0.2906     -0.17340         
       2020 11 15  59168       0.1410      0.2903     -0.17393         
       2020 11 16  59169       0.1396      0.2900     -0.17420         
       2020 11 17  59170       0.1382      0.2897     -0.17417         
       2020 11 18  59171       0.1367      0.2895     -0.17393         
       2020 11 19  59172       0.1353      0.2893     -0.17355         
       2020 11 20  59173       0.1339      0.2891     -0.17316         
       2020 11 21  59174       0.1324      0.2889     -0.17284         
       2020 11 22  59175       0.1310      0.2888     -0.17262         
       2020 11 23  59176       0.1295      0.2886     -0.17254         
       2020 11 24  59177       0.1280      0.2885     -0.17255         
       2020 11 25  59178       0.1266      0.2885     -0.17263         
       2020 11 26  59179       0.1251      0.2884     -0.17274         
       2020 11 27  59180       0.1236      0.2884     -0.17282         
       2020 11 28  59181       0.1222      0.2884     -0.17285         
       2020 11 29  59182       0.1207      0.2884     -0.17277         
       2020 11 30  59183       0.1192      0.2885     -0.17258         
       2020 12  1  59184       0.1177      0.2885     -0.17227         
       2020 12  2  59185       0.1163      0.2886     -0.17187         
       2020 12  3  59186       0.1148      0.2887     -0.17140         
       2020 12  4  59187       0.1133      0.2889     -0.17095         
       2020 12  5  59188       0.1118      0.2890     -0.17057         
       2020 12  6  59189       0.1103      0.2892     -0.17034         
       2020 12  7  59190       0.1089      0.2894     -0.17031         
       2020 12  8  59191       0.1074      0.2897     -0.17050         
       2020 12  9  59192       0.1059      0.2899     -0.17092         
       2020 12 10  59193       0.1045      0.2902     -0.17147         
       2020 12 11  59194       0.1030      0.2905     -0.17206         
       2020 12 12  59195       0.1016      0.2909     -0.17254         
       2020 12 13  59196       0.1001      0.2912     -0.17280         
       2020 12 14  59197       0.0987      0.2916     -0.17280         
       2020 12 15  59198       0.0972      0.2920     -0.17257         
       2020 12 16  59199       0.0958      0.2924     -0.17219         
       2020 12 17  59200       0.0944      0.2929     -0.17177         
       2020 12 18  59201       0.0929      0.2934     -0.17139         
       2020 12 19  59202       0.0915      0.2939     -0.17112         
       2020 12 20  59203       0.0901      0.2944     -0.17098         
       2020 12 21  59204       0.0887      0.2949     -0.17094         
       2020 12 22  59205       0.0873      0.2955     -0.17098         
       2020 12 23  59206       0.0860      0.2961     -0.17105         
       2020 12 24  59207       0.0846      0.2967     -0.17109         
       2020 12 25  59208       0.0832      0.2973     -0.17107         
       2020 12 26  59209       0.0819      0.2980     -0.17095         
       2020 12 27  59210       0.0806      0.2987     -0.17070         
       2020 12 28  59211       0.0792      0.2994     -0.17032         
       2020 12 29  59212       0.0779      0.3001     -0.16981         
       2020 12 30  59213       0.0766      0.3009     -0.16923         
       2020 12 31  59214       0.0754      0.3016     -0.16864         
       2021  1  1  59215       0.0741      0.3024     -0.16811         
       2021  1  2  59216       0.0728      0.3032     -0.16773         
       2021  1  3  59217       0.0716      0.3040     -0.16756         
       2021  1  4  59218       0.0704      0.3049     -0.16762         
       2021  1  5  59219       0.0691      0.3058     -0.16790         
       2021  1  6  59220       0.0680      0.3067     -0.16833         
       2021  1  7  59221       0.0668      0.3076     -0.16882         
       2021  1  8  59222       0.0656      0.3085     -0.16927         
       2021  1  9  59223       0.0645      0.3095     -0.16956         
       2021  1 10  59224       0.0633      0.3104     -0.16964         
       2021  1 11  59225       0.0622      0.3114     -0.16952         
       2021  1 12  59226       0.0611      0.3124     -0.16925         
       2021  1 13  59227       0.0601      0.3134     -0.16892         
       2021  1 14  59228       0.0590      0.3145     -0.16863         
       2021  1 15  59229       0.0580      0.3155     -0.16847         
       2021  1 16  59230       0.0570      0.3166     -0.16844         
       2021  1 17  59231       0.0560      0.3177     -0.16855         
       2021  1 18  59232       0.0550      0.3188     -0.16877         
       2021  1 19  59233       0.0540      0.3200     -0.16903         
       2021  1 20  59234       0.0531      0.3211     -0.16930         
       2021  1 21  59235       0.0522      0.3223     -0.16951         
       2021  1 22  59236       0.0513      0.3234     -0.16963         
       2021  1 23  59237       0.0504      0.3246     -0.16963         
       2021  1 24  59238       0.0496      0.3258     -0.16950         
       2021  1 25  59239       0.0488      0.3271     -0.16924         
       2021  1 26  59240       0.0480      0.3283     -0.16890         
       2021  1 27  59241       0.0472      0.3295     -0.16854         
       2021  1 28  59242       0.0464      0.3308     -0.16822         
       2021  1 29  59243       0.0457      0.3321     -0.16804         
       2021  1 30  59244       0.0450      0.3334     -0.16807         
       2021  1 31  59245       0.0443      0.3347     -0.16835         
       2021  2  1  59246       0.0437      0.3360     -0.16876         
       2021  2  2  59247       0.0430      0.3373     -0.16933         
       2021  2  3  59248       0.0424      0.3387     -0.16996         
       2021  2  4  59249       0.0418      0.3400     -0.17053         
       2021  2  5  59250       0.0413      0.3414     -0.17096         
       2021  2  6  59251       0.0408      0.3427     -0.17118         
       2021  2  7  59252       0.0403      0.3441     -0.17119         
       2021  2  8  59253       0.0398      0.3455     -0.17104         
       2021  2  9  59254       0.0393      0.3469     -0.17081         
       2021  2 10  59255       0.0389      0.3483     -0.17060         
       2021  2 11  59256       0.0385      0.3497     -0.17049         
       2021  2 12  59257       0.0381      0.3511     -0.17052         
       2021  2 13  59258       0.0378      0.3525     -0.17072         
       2021  2 14  59259       0.0375      0.3540     -0.17105         
       2021  2 15  59260       0.0372      0.3554     -0.17145         
       2021  2 16  59261       0.0369      0.3569     -0.17188         
       2021  2 17  59262       0.0367      0.3583     -0.17228         
       2021  2 18  59263       0.0365      0.3598     -0.17260         
       2021  2 19  59264       0.0363      0.3612     -0.17280         
       2021  2 20  59265       0.0362      0.3627     -0.17288         
       2021  2 21  59266       0.0360      0.3641     -0.17284         
       2021  2 22  59267       0.0360      0.3656     -0.17271         
       2021  2 23  59268       0.0359      0.3671     -0.17253         
       2021  2 24  59269       0.0359      0.3686     -0.17239         
       2021  2 25  59270       0.0358      0.3700     -0.17236         
       2021  2 26  59271       0.0359      0.3715     -0.17252         
       2021  2 27  59272       0.0359      0.3730     -0.17296         
       2021  2 28  59273       0.0360      0.3745     -0.17366         
       2021  3  1  59274       0.0361      0.3760     -0.17458         
       2021  3  2  59275       0.0362      0.3774     -0.17561         
       2021  3  3  59276       0.0364      0.3789     -0.17661         
       2021  3  4  59277       0.0366      0.3804     -0.17746         
       2021  3  5  59278       0.0368      0.3819     -0.17808         
       2021  3  6  59279       0.0371      0.3833     -0.17848         
       2021  3  7  59280       0.0374      0.3848     -0.17868         
       2021  3  8  59281       0.0377      0.3863     -0.17877         
       2021  3  9  59282       0.0380      0.3877     -0.17886         
       2021  3 10  59283       0.0384      0.3892     -0.17903         
       2021  3 11  59284       0.0388      0.3907     -0.17933         
       2021  3 12  59285       0.0392      0.3921     -0.17980         
       2021  3 13  59286       0.0396      0.3935     -0.18040         
       2021  3 14  59287       0.0401      0.3950     -0.18111         
       2021  3 15  59288       0.0406      0.3964     -0.18187         
       2021  3 16  59289       0.0412      0.3978     -0.18261         
       2021  3 17  59290       0.0417      0.3993     -0.18328         
       2021  3 18  59291       0.0423      0.4007     -0.18383         
       2021  3 19  59292       0.0429      0.4021     -0.18425         
       2021  3 20  59293       0.0436      0.4035     -0.18453         
       2021  3 21  59294       0.0443      0.4049     -0.18470         
       2021  3 22  59295       0.0450      0.4062     -0.18480         
       2021  3 23  59296       0.0457      0.4076     -0.18489         
       2021  3 24  59297       0.0465      0.4090     -0.18504         
       2021  3 25  59298       0.0472      0.4103     -0.18536         
       2021  3 26  59299       0.0480      0.4116     -0.18591         
       2021  3 27  59300       0.0489      0.4130     -0.18675         
       2021  3 28  59301       0.0497      0.4143     -0.18786         
       2021  3 29  59302       0.0506      0.4156     -0.18914         
       2021  3 30  59303       0.0515      0.4169     -0.19045         
       2021  3 31  59304       0.0525      0.4181     -0.19165         
       2021  4  1  59305       0.0535      0.4194     -0.19261         
       2021  4  2  59306       0.0544      0.4206     -0.19329         
       2021  4  3  59307       0.0555      0.4219     -0.19373         
       2021  4  4  59308       0.0565      0.4231     -0.19402         
       2021  4  5  59309       0.0576      0.4243     -0.19424         
       2021  4  6  59310       0.0587      0.4255     -0.19451         
       2021  4  7  59311       0.0598      0.4266     -0.19489         
       2021  4  8  59312       0.0609      0.4278     -0.19540         
       2021  4  9  59313       0.0621      0.4289     -0.19604         
       2021  4 10  59314       0.0632      0.4301     -0.19679         
       2021  4 11  59315       0.0645      0.4312     -0.19758         
       2021  4 12  59316       0.0657      0.4322     -0.19835         
       2021  4 13  59317       0.0669      0.4333     -0.19905         
       2021  4 14  59318       0.0682      0.4344     -0.19963         
       2021  4 15  59319       0.0695      0.4354     -0.20004         
       2021  4 16  59320       0.0708      0.4364     -0.20029         
       2021  4 17  59321       0.0721      0.4374     -0.20038         
       2021  4 18  59322       0.0735      0.4384     -0.20036         
       2021  4 19  59323       0.0749      0.4393     -0.20028         
       2021  4 20  59324       0.0763      0.4402     -0.20023         
       2021  4 21  59325       0.0777      0.4412     -0.20029         
       2021  4 22  59326       0.0791      0.4420     -0.20055         
       2021  4 23  59327       0.0805      0.4429     -0.20110         
       2021  4 24  59328       0.0820      0.4438     -0.20197         
       2021  4 25  59329       0.0835      0.4446     -0.20312         
       2021  4 26  59330       0.0850      0.4454     -0.20442         
       2021  4 27  59331       0.0865      0.4462     -0.20571         
       2021  4 28  59332       0.0881      0.4469     -0.20681         
       2021  4 29  59333       0.0896      0.4476     -0.20762         
       2021  4 30  59334       0.0912      0.4484     -0.20811         
       2021  5  1  59335       0.0927      0.4490     -0.20834         
       2021  5  2  59336       0.0943      0.4497     -0.20843         
       2021  5  3  59337       0.0960      0.4503     -0.20849         
       2021  5  4  59338       0.0976      0.4510     -0.20860         
       2021  5  5  59339       0.0992      0.4516     -0.20883         
       2021  5  6  59340       0.1009      0.4521     -0.20918         
       2021  5  7  59341       0.1025      0.4527     -0.20964         
       2021  5  8  59342       0.1042      0.4532     -0.21018         
       2021  5  9  59343       0.1059      0.4537     -0.21075         
       2021  5 10  59344       0.1076      0.4541     -0.21129         
       2021  5 11  59345       0.1093      0.4546     -0.21174         
       2021  5 12  59346       0.1110      0.4550     -0.21203         
       2021  5 13  59347       0.1127      0.4554     -0.21214         
       2021  5 14  59348       0.1144      0.4557     -0.21205         
       2021  5 15  59349       0.1162      0.4561     -0.21177         
       2021  5 16  59350       0.1179      0.4564     -0.21137         
       2021  5 17  59351       0.1197      0.4566     -0.21091         
       2021  5 18  59352       0.1215      0.4569     -0.21045         
       2021  5 19  59353       0.1232      0.4571     -0.21009         
       2021  5 20  59354       0.1250      0.4573     -0.20988         
       2021  5 21  59355       0.1268      0.4575     -0.20989         
       2021  5 22  59356       0.1286      0.4576     -0.21011         
       2021  5 23  59357       0.1304      0.4578     -0.21048         
       2021  5 24  59358       0.1322      0.4579     -0.21091         
       2021  5 25  59359       0.1340      0.4579     -0.21124         
       2021  5 26  59360       0.1358      0.4580     -0.21134         
       2021  5 27  59361       0.1376      0.4580     -0.21118         
       2021  5 28  59362       0.1394      0.4580     -0.21084         
       2021  5 29  59363       0.1412      0.4579     -0.21040         
       2021  5 30  59364       0.1430      0.4578     -0.20996         
       2021  5 31  59365       0.1448      0.4577     -0.20966         
       2021  6  1  59366       0.1466      0.4576     -0.20949         
       2021  6  2  59367       0.1484      0.4574     -0.20944         
       2021  6  3  59368       0.1502      0.4573     -0.20951         
       2021  6  4  59369       0.1520      0.4571     -0.20963         
       2021  6  5  59370       0.1538      0.4568     -0.20974         
       2021  6  6  59371       0.1556      0.4565     -0.20985         
       2021  6  7  59372       0.1574      0.4563     -0.20989         
       2021  6  8  59373       0.1592      0.4559     -0.20975         
       2021  6  9  59374       0.1610      0.4556     -0.20944         
       2021  6 10  59375       0.1628      0.4552     -0.20902         
       2021  6 11  59376       0.1645      0.4548     -0.20850         
       2021  6 12  59377       0.1663      0.4544     -0.20786         
       2021  6 13  59378       0.1681      0.4539     -0.20717         
       2021  6 14  59379       0.1698      0.4534     -0.20651         
       2021  6 15  59380       0.1716      0.4529     -0.20593         
       2021  6 16  59381       0.1733      0.4524     -0.20551         
       2021  6 17  59382       0.1750      0.4518     -0.20529         
       2021  6 18  59383       0.1767      0.4512     -0.20527         
       2021  6 19  59384       0.1785      0.4506     -0.20540         
       2021  6 20  59385       0.1802      0.4500     -0.20561         
       2021  6 21  59386       0.1818      0.4493     -0.20578         
       2021  6 22  59387       0.1835      0.4486     -0.20583         
       2021  6 23  59388       0.1852      0.4479     -0.20566         
       2021  6 24  59389       0.1868      0.4471     -0.20523         
       2021  6 25  59390       0.1885      0.4463     -0.20452         
       2021  6 26  59391       0.1901      0.4455     -0.20361         
       2021  6 27  59392       0.1917      0.4447     -0.20271         
       2021  6 28  59393       0.1933      0.4439     -0.20191         
       2021  6 29  59394       0.1949      0.4430     -0.20122         
       2021  6 30  59395       0.1965      0.4421     -0.20064         
       2021  7  1  59396       0.1980      0.4412     -0.20012         
       2021  7  2  59397       0.1996      0.4402     -0.19959         
       2021  7  3  59398       0.2011      0.4392     -0.19906         
       2021  7  4  59399       0.2026      0.4382     -0.19850         
       2021  7  5  59400       0.2041      0.4372     -0.19786         
       2021  7  6  59401       0.2055      0.4362     -0.19707         
       2021  7  7  59402       0.2070      0.4351     -0.19610         
       2021  7  8  59403       0.2084      0.4340     -0.19497         
       2021  7  9  59404       0.2098      0.4329     -0.19375         
       2021  7 10  59405       0.2112      0.4318     -0.19255         
       2021  7 11  59406       0.2126      0.4306     -0.19144         
       2021  7 12  59407       0.2140      0.4295     -0.19044         
       2021  7 13  59408       0.2153      0.4283     -0.18964         
       2021  7 14  59409       0.2166      0.4270     -0.18911         
       2021  7 15  59410       0.2179      0.4258     -0.18880         
       2021  7 16  59411       0.2191      0.4245     -0.18873         
       2021  7 17  59412       0.2204      0.4233     -0.18882         
       2021  7 18  59413       0.2216      0.4220     -0.18898         
       2021  7 19  59414       0.2228      0.4207     -0.18907         
       2021  7 20  59415       0.2240      0.4193     -0.18896         
       2021  7 21  59416       0.2251      0.4180     -0.18864         
       2021  7 22  59417       0.2262      0.4166     -0.18812         
       2021  7 23  59418       0.2273      0.4152     -0.18750         
       2021  7 24  59419       0.2284      0.4138     -0.18692         
       2021  7 25  59420       0.2295      0.4124     -0.18648         
       2021  7 26  59421       0.2305      0.4110     -0.18626         
       2021  7 27  59422       0.2315      0.4095     -0.18621         
       2021  7 28  59423       0.2325      0.4080     -0.18625         
       2021  7 29  59424       0.2334      0.4065     -0.18628         
       2021  7 30  59425       0.2343      0.4050     -0.18620         
       2021  7 31  59426       0.2352      0.4035     -0.18590         
       2021  8  1  59427       0.2361      0.4020     -0.18540         
       2021  8  2  59428       0.2369      0.4005     -0.18469         
       2021  8  3  59429       0.2377      0.3989     -0.18378         
       2021  8  4  59430       0.2385      0.3973     -0.18271         
       2021  8  5  59431       0.2392      0.3957     -0.18149         
       2021  8  6  59432       0.2399      0.3942     -0.18017         
       2021  8  7  59433       0.2406      0.3926     -0.17887         
       2021  8  8  59434       0.2413      0.3909     -0.17772         
       2021  8  9  59435       0.2419      0.3893     -0.17678         
       2021  8 10  59436       0.2425      0.3877     -0.17612         
       2021  8 11  59437       0.2431      0.3860     -0.17583         
       2021  8 12  59438       0.2436      0.3844     -0.17582         
       2021  8 13  59439       0.2441      0.3827     -0.17591         
       2021  8 14  59440       0.2446      0.3810     -0.17604         
       2021  8 15  59441       0.2450      0.3794     -0.17611         
       2021  8 16  59442       0.2455      0.3777     -0.17601         
       2021  8 17  59443       0.2458      0.3760     -0.17570         
       2021  8 18  59444       0.2462      0.3743     -0.17519         
       2021  8 19  59445       0.2465      0.3726     -0.17456         
       2021  8 20  59446       0.2468      0.3709     -0.17394         
       2021  8 21  59447       0.2471      0.3692     -0.17341         
       2021  8 22  59448       0.2473      0.3674     -0.17302         
       2021  8 23  59449       0.2475      0.3657     -0.17281         
       2021  8 24  59450       0.2476      0.3640     -0.17274         
       2021  8 25  59451       0.2478      0.3622     -0.17271         
       2021  8 26  59452       0.2479      0.3605     -0.17263         
       2021  8 27  59453       0.2479      0.3588     -0.17244         
       2021  8 28  59454       0.2480      0.3570     -0.17213         
       2021  8 29  59455       0.2480      0.3553     -0.17163         
       2021  8 30  59456       0.2479      0.3536     -0.17090         
       2021  8 31  59457       0.2479      0.3518     -0.17005         
       2021  9  1  59458       0.2478      0.3501     -0.16913         
       2021  9  2  59459       0.2476      0.3484     -0.16819         
       2021  9  3  59460       0.2475      0.3466     -0.16728         
       2021  9  4  59461       0.2473      0.3449     -0.16645         
       2021  9  5  59462       0.2470      0.3432     -0.16580         
       2021  9  6  59463       0.2468      0.3414     -0.16538         
       2021  9  7  59464       0.2465      0.3397     -0.16530         
       2021  9  8  59465       0.2462      0.3380     -0.16552         
       2021  9  9  59466       0.2458      0.3363     -0.16590         
       2021  9 10  59467       0.2454      0.3346     -0.16629         
       2021  9 11  59468       0.2450      0.3329     -0.16658         
       2021  9 12  59469       0.2445      0.3312     -0.16670         
       2021  9 13  59470       0.2441      0.3295     -0.16664         
       2021  9 14  59471       0.2435      0.3278     -0.16640         
       2021  9 15  59472       0.2430      0.3261     -0.16603         
       2021  9 16  59473       0.2424      0.3244     -0.16560         
       2021  9 17  59474       0.2418      0.3228     -0.16527         
       2021  9 18  59475       0.2411      0.3211     -0.16508         
       2021  9 19  59476       0.2405      0.3195     -0.16501         
       2021  9 20  59477       0.2398      0.3179     -0.16507         
       2021  9 21  59478       0.2390      0.3162     -0.16528         
       2021  9 22  59479       0.2383      0.3146     -0.16560         
       2021  9 23  59480       0.2375      0.3130     -0.16587         
       2021  9 24  59481       0.2366      0.3114     -0.16606         
       2021  9 25  59482       0.2358      0.3099     -0.16614         
       2021  9 26  59483       0.2349      0.3083     -0.16606         
       2021  9 27  59484       0.2340      0.3068     -0.16576         
       2021  9 28  59485       0.2330      0.3052     -0.16536         
       2021  9 29  59486       0.2320      0.3037     -0.16491         
       2021  9 30  59487       0.2310      0.3022     -0.16453         
       2021 10  1  59488       0.2300      0.3007     -0.16431         
       2021 10  2  59489       0.2289      0.2992     -0.16423         
       2021 10  3  59490       0.2279      0.2978     -0.16437         
       2021 10  4  59491       0.2267      0.2963     -0.16475         
       2021 10  5  59492       0.2256      0.2949     -0.16541         
       2021 10  6  59493       0.2244      0.2935     -0.16631         
       2021 10  7  59494       0.2232      0.2921     -0.16730         
       2021 10  8  59495       0.2220      0.2907     -0.16821         
       2021 10  9  59496       0.2207      0.2894     -0.16888         
       2021 10 10  59497       0.2194      0.2880     -0.16926         
       2021 10 11  59498       0.2181      0.2867     -0.16934         
       2021 10 12  59499       0.2168      0.2854     -0.16924         
       2021 10 13  59500       0.2155      0.2841     -0.16910         
       2021 10 14  59501       0.2141      0.2829     -0.16895         
       2021 10 15  59502       0.2127      0.2816     -0.16890         
      These predictions are based on all announced leap seconds.               
                                                                               
      CELESTIAL POLE OFFSET SERIES:                                            
                           NEOS Celestial Pole Offset Series                   
                       MJD      dpsi    error     deps    error                
                                        (msec. of arc)                         
                      59115  -117.95    0.05   -9.60    0.04   
                      59116  -117.94    0.05   -9.60    0.04   
                      59117  -117.96    0.05   -9.65    0.04   
                      59118  -117.96    0.05   -9.66    0.04   
                      59119  -117.82    0.19   -9.65    0.09   
                      59120  -117.50    0.19   -9.63    0.09   
                      59121  -117.13    0.20   -9.58    0.09   
                      59122  -116.84    0.29   -9.38    0.08   
                      59123  -116.65    0.29   -9.04    0.08   
                      59124  -116.49    0.29   -8.74    0.08   
                                                                               
                     IERS Celestial Pole Offset Final Series                   
                           MJD          dpsi      deps                         
                                        (msec. of arc)                         
                          59063      -116.3     -10.1                      
                          59064      -116.0     -10.3                      
                          59065      -115.8     -10.4                      
                          59066      -115.8     -10.4                      
                          59067      -115.9     -10.3                      
                          59068      -116.1     -10.1                      
                          59069      -116.4     -10.1                      
                          59070      -116.5     -10.1                      
                          59071      -116.4     -10.1                      
                          59072      -116.4     -10.0                      
                          59073      -116.7      -9.9                      
                          59074      -117.3      -9.9                      
                          59075      -117.9     -10.0                      
                          59076      -118.0     -10.2                      
                          59077      -117.7     -10.5                      
                          59078      -117.4     -10.6                      
                          59079      -117.1     -10.6                      
                          59080      -116.9     -10.5                      
                          59081      -116.6     -10.2                      
                          59082      -116.5     -10.0                      
                          59083      -116.9     -10.1                      
                          59084      -117.5     -10.3                      
                          59085      -117.9     -10.4                      
                          59086      -118.2     -10.4                      
                          59087      -118.2     -10.3                      
                          59088      -118.2     -10.2                      
                          59089      -118.2     -10.1                      
                          59090      -118.2     -10.1                      
                          59091      -118.0     -10.2                      
                          59092      -117.7     -10.3                      
                          59093      -117.5     -10.4                      
                                                            
                     IAU2000A Celestial Pole Offset Series  
                      MJD      dX     error     dY     error
                                    (msec. of arc)          
                      59115   -0.018  0.019   -0.051   0.042          
                      59116   -0.019  0.019   -0.046   0.042          
                      59117   -0.014  0.019   -0.041   0.042          
                      59118   -0.004  0.019   -0.036   0.042          
                      59119    0.011  0.076   -0.030   0.087          
                      59120    0.032  0.076   -0.025   0.087          
                      59121    0.057  0.080   -0.021   0.092          
                      59122    0.088  0.115   -0.017   0.077          
                      59123    0.122  0.115   -0.014   0.077          
                      59124    0.159  0.115   -0.011   0.077          
                                                                               
                                                                               
                 IAU2000A Celestial Pole Offset Final Series 
                             MJD     dX         dY           
                             (msec. of arc)          
                           59063    -0.02       0.05
                           59064     0.01       0.03
                           59065     0.05      -0.01
                           59066     0.07      -0.04
                           59067     0.10      -0.01
                           59068     0.13      -0.01
                           59069     0.14      -0.03
                           59070     0.15      -0.06
                           59071     0.16      -0.09
                           59072     0.16      -0.12
                           59073     0.17      -0.14
                           59074     0.15      -0.12
                           59075     0.14      -0.09
                           59076     0.13      -0.09
                           59077     0.13      -0.11
                           59078     0.13      -0.13
                           59079     0.13      -0.14
                           59080     0.12      -0.16
                           59081     0.18      -0.13
                           59082     0.24      -0.09
                           59083     0.22      -0.08
                           59084     0.16      -0.08
                           59085     0.10      -0.08
                           59086     0.05      -0.08
                           59087     0.07      -0.07
                           59088     0.10      -0.05
                           59089     0.14      -0.04
                           59090     0.15      -0.04
                           59091     0.16      -0.04
                           59092     0.17      -0.04
                           59093     0.17      -0.04
                                                                               
    The recommended software to predict celestial pole offsets can be found at 
    <http://www.usno.navy.mil/USNO/earth-orientation/software/aux/ceppred.f>   
    and software for the calculation of the dX and dY components with          
    respect to IAU2000A Nutation/Precession Theory can be found at the         
    <http://maia.usno.navy.mil/conv2010/conventions.html>                      
    web site in Chapter 5 Section 5.5 of the IERS Conventions (2010).          
