[Cbor] MJD (Fwd: Bulletin B number 387)
Carsten Bormann <cabo@tzi.org> Wed, 03 June 2020 16:09 UTC
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From: Carsten Bormann <cabo@tzi.org>
Date: Wed, 03 Jun 2020 18:09:49 +0200
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Subject: [Cbor] MJD (Fwd: Bulletin B number 387)
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Today, we had a brief discussion about MJD, modified Julian dates.
Just as a random example of the use of MJD in the fundamental gears that keep our timekeeping going:
The International Earth Rotation Service (IERS) sends out bulletins regularly that explain how the earth moves and what that means for Sun position based timekeeping (UT1) vs. atomic time keeping (TAI).
This is needed for any astronomy that tries to use TAI-based time sources (e.g., GPS), as well as for the decision when to insert leap seconds (which is based on IERS data).
They give this information for each date so you can retroactively adjust what you saw in your telescope.
The dates are given in Gregorian form, e.g., 2020-04-01, but also (more usefully for astronomers) in MJD, here 58940.
Now if you know that (Time.parse("2020-04-01T00:00:00+00:00").utc-Time.parse('1970-01-01T00:00:00+00:00').utc)/86400.0 => 18353.0, you can add that to the MJD of 40587 for the UNIX epoch, and unsurprisingly you get: 58940. Oh, and today it’s 59003 (Date.today.mjd).
I’m still looking for a citable reference from 1957, when Smithsonian Astrophysical Observatory (SAO) invented MJD by subtracting 2400000.5 from JD (introduced by Joseph Scaliger in the 16th century based on January 1, 4713 B.C.) to be able to track Sputnik efficiently on a 36-bit IBM 704 computer (using 18 bits for the date and the other 18 bits for the time of day).
We may want to pick this subject up again when discussing 63-bit absolute time with 100 ns granularity :-) or some such...
Grüße, Carsten
> Begin forwarded message:
>
> From: iers.eoppc@obspm.fr (IERS EOP Product Center)
> Subject: Bulletin B number 387
> Date: 2020-05-04 at 22:35:31 CEST
> To: bulb.iers@obspm.fr
> Reply-To: iers.eoppc@obspm.fr (IERS EOP Product Center)
>
> BULLETIN B 387
> 4 May 2020
>
> Contents are described in ftp://hpiers.obspm.fr/iers/bul/bulb_new/bulletinb.pdf
>
> 1 - DAILY FINAL VALUES OF x, y, UT1-UTC, dX, dY
> Angular unit is milliarcsecond (mas), time unit is millisecond (ms).
> Upgraded solution from March 1 2017 - consistent with ITRF 2014.
>
> DATE MJD x y UT1-UTC dX dY x err y err UT1 err dX err dY err
> (0 h UTC) mas mas ms mas mas mas mas ms mas mas
>
> Final values
>
> Mean formal error 0.053 0.038 0.0065 0.025 0.055
>
> 2020 3 2 58910 27.052 357.171 -205.5930 0.061 -0.015 0.056 0.039 0.0095 0.070 0.088
> 2020 3 3 58911 26.374 359.002 -206.1635 0.090 -0.029 0.056 0.039 0.0094 0.071 0.089
> 2020 3 4 58912 26.040 360.668 -206.6763 0.090 -0.006 0.056 0.039 0.0093 0.071 0.088
> 2020 3 5 58913 26.271 362.020 -207.1658 0.083 0.026 0.056 0.039 0.0092 0.072 0.087
> 2020 3 6 58914 26.971 363.910 -207.6964 0.075 0.058 0.056 0.039 0.0089 0.070 0.083
> 2020 3 7 58915 27.743 365.695 -208.3559 0.049 0.050 0.056 0.039 0.0087 0.071 0.081
> 2020 3 8 58916 28.156 367.442 -209.2279 0.016 0.026 0.056 0.038 0.0081 0.066 0.075
> 2020 3 9 58917 28.068 369.116 -210.3544 -0.017 0.003 0.055 0.038 0.0077 0.067 0.073
> 2020 3 10 58918 28.186 370.679 -211.7167 -0.050 -0.020 0.055 0.039 0.0075 0.067 0.071
> 2020 3 11 58919 28.655 372.325 -213.2290 -0.012 0.001 0.055 0.039 0.0073 0.067 0.068
> 2020 3 12 58920 29.168 373.782 -214.7503 0.045 0.034 0.055 0.039 0.0071 0.067 0.065
> 2020 3 13 58921 30.390 375.474 -216.1386 0.102 0.067 0.054 0.039 0.0069 0.067 0.063
> 2020 3 14 58922 31.837 377.519 -217.2921 0.092 0.111 0.054 0.039 0.0067 0.064 0.057
> 2020 3 15 58923 33.166 379.483 -218.1787 0.059 0.160 0.053 0.038 0.0062 0.059 0.053
> 2020 3 16 58924 34.196 380.925 -218.8244 0.026 0.209 0.053 0.038 0.0060 0.059 0.050
> 2020 3 17 58925 34.810 382.174 -219.2893 -0.007 0.257 0.052 0.038 0.0057 0.058 0.048
> 2020 3 18 58926 35.518 383.028 -219.6482 -0.015 0.152 0.052 0.038 0.0056 0.057 0.045
> 2020 3 19 58927 36.746 383.993 -219.9551 -0.016 0.005 0.052 0.038 0.0054 0.057 0.043
> 2020 3 20 58928 38.706 385.063 -220.2542 -0.017 -0.143 0.051 0.038 0.0053 0.057 0.041
> 2020 3 21 58929 40.911 386.045 -220.5675 -0.013 -0.159 0.051 0.038 0.0052 0.057 0.040
> 2020 3 22 58930 42.767 387.279 -220.9353 -0.008 -0.127 0.051 0.038 0.0051 0.057 0.038
> 2020 3 23 58931 43.796 388.552 -221.3969 -0.002 -0.096 0.050 0.038 0.0049 0.057 0.037
> 2020 3 24 58932 44.596 389.940 -221.9350 0.004 -0.064 0.050 0.038 0.0048 0.056 0.035
> 2020 3 25 58933 44.822 391.441 -222.4998 -0.025 -0.023 0.050 0.038 0.0048 0.056 0.036
> 2020 3 26 58934 44.447 393.068 -223.0586 -0.062 0.021 0.050 0.038 0.0049 0.057 0.037
> 2020 3 27 58935 43.820 394.134 -223.5768 -0.099 0.065 0.051 0.038 0.0050 0.057 0.037
> 2020 3 28 58936 44.678 395.036 -224.0270 -0.091 0.067 0.051 0.038 0.0051 0.057 0.038
> 2020 3 29 58937 45.811 396.474 -224.3985 -0.065 0.053 0.051 0.038 0.0052 0.058 0.038
> 2020 3 30 58938 47.066 397.981 -224.6996 -0.039 0.038 0.051 0.038 0.0052 0.058 0.039
> 2020 3 31 58939 48.786 399.658 -224.9459 -0.013 0.024 0.052 0.038 0.0053 0.059 0.039
> 2020 4 1 58940 50.873 401.240 -225.1677 -0.019 -0.007 0.052 0.038 0.0054 0.060 0.040
>
> Preliminary extension
> 2020 4 2 58941 52.629 403.274 -225.4275 -0.033 -0.043 0.053 0.038 0.0056 0.060 0.041
> 2020 4 3 58942 54.045 405.201 -225.8108 -0.047 -0.080 0.053 0.039 0.0057 0.061 0.042
> 2020 4 4 58943 54.939 406.879 -226.4131 -0.042 -0.057 0.054 0.039 0.0059 0.062 0.043
> 2020 4 5 58944 55.448 407.948 -227.3108 -0.030 -0.013 0.054 0.039 0.0060 0.062 0.044
> 2020 4 6 58945 55.942 408.915 -228.5296 -0.018 0.032 0.055 0.039 0.0061 0.063 0.045
> 2020 4 7 58946 56.202 409.418 -230.0133 -0.005 0.076 0.055 0.039 0.0063 0.064 0.046
> 2020 4 8 58947 56.867 409.951 -231.6181 0.038 0.012 0.055 0.040 0.0064 0.064 0.046
> 2020 4 9 58948 57.726 410.982 -233.1940 0.089 -0.080 0.056 0.040 0.0065 0.065 0.046
> 2020 4 10 58949 58.113 412.055 -234.6309 0.079 -0.071 0.056 0.040 0.0067 0.066 0.047
> 2020 4 11 58950 58.566 412.943 -235.7588 0.046 -0.024 0.057 0.040 0.0068 0.067 0.049
> 2020 4 12 58951 59.057 414.030 -236.6098 0.013 0.022 0.057 0.041 0.0069 0.068 0.050
> 2020 4 13 58952 59.805 415.374 -237.2074 -0.019 0.069 0.058 0.042 0.0070 0.069 0.052
> 2020 4 14 58953 60.918 416.776 -237.5996 -0.052 0.116 0.059 0.042 0.0071 0.070 0.053
> 2020 4 15 58954 62.146 418.046 -237.8591 -0.085 0.163 0.060 0.043 0.0072 0.071 0.055
> 2020 4 16 58955 62.853 419.714 -238.0355 0.036 0.069 0.062 0.045 0.0075 0.072 0.058
> 2020 4 17 58956 63.924 421.358 -238.2368 0.199 -0.062 0.064 0.046 0.0078 0.073 0.062
> 2020 4 18 58957 64.490 423.077 -238.5501 0.000 0.000 0.066 0.048 0.0081 0.075 0.067
> 2020 4 19 58958 64.316 424.255 -239.0153 2.224 1.502 0.047 0.031 0.0079 0.041 0.039
> 2020 4 20 58959 63.747 425.151 -239.4957 3.387 2.493 0.048 0.032 0.0082 0.042 0.042
> 2020 4 21 58960 63.142 425.931 -239.9896 4.549 3.484 0.049 0.033 0.0085 0.043 0.045
> 2020 4 22 58961 63.226 426.511 -240.4778 1.970 1.158 0.050 0.033 0.0088 0.500 0.500
> 2020 4 23 58962 64.174 427.385 -240.9283 1.327 0.785 0.050 0.034 0.0091 0.500 0.500
> 2020 4 24 58963 65.452 428.308 -241.3520 0.757 0.463 0.051 0.034 0.0094 0.500 0.500
> 2020 4 25 58964 67.020 429.350 -241.6901 0.487 0.318 0.052 0.035 0.0097 0.500 0.500
> 2020 4 26 58965 68.387 430.786 -241.8633 0.536 0.347 0.053 0.035 0.0100 0.500 0.500
> 2020 4 27 58966 69.326 432.013 -241.9663 0.738 0.445 0.054 0.036 0.0103 0.500 0.500
> 2020 4 28 58967 70.543 432.912 -242.0334 0.882 0.492 0.055 0.037 0.0107 0.500 0.500
> 2020 4 29 58968 72.198 433.759 -242.1119 0.858 0.442 0.056 0.037 0.0111 0.500 0.500
> 2020 4 30 58969 74.118 434.658 -242.2219 0.714 0.341 0.057 0.038 0.0115 0.500 0.500
> 2020 5 1 58970 75.783 435.916 -242.4483 0.586 0.275 0.058 0.039 0.0119 0.500 0.500
>
>
> 2 - DAILY FINAL VALUES OF CELESTIAL POLE OFFSETS dPsi1980 & dEps1980
> dPsi1980 dEps1980 ....dPsi,dEps / IAU 1980 precession-nutation model
> Description : ftp://hpiers.obspm.fr/iers/bul/bulb_new/bulletinb.pdf
> The Reference Systems are described in the 2006 IERS Annual Report.
>
> DATE MJD dPsi1980 dEps1980 sig dPsi sig dEps
> (0 h UTC) mas mas mas mas
>
> 2020 3 2 58910 -107.618 -8.141 0.176 0.088
> 2020 3 3 58911 -107.667 -8.239 0.178 0.089
> 2020 3 4 58912 -107.675 -8.191 0.178 0.088
> 2020 3 5 58913 -107.792 -8.157 0.181 0.087
> 2020 3 6 58914 -108.125 -8.377 0.176 0.083
> 2020 3 7 58915 -108.350 -8.872 0.178 0.081
> 2020 3 8 58916 -107.965 -9.254 0.166 0.075
> 2020 3 9 58917 -107.107 -9.201 0.168 0.073
> 2020 3 10 58918 -106.499 -8.856 0.168 0.071
> 2020 3 11 58919 -106.433 -8.568 0.168 0.068
> 2020 3 12 58920 -106.813 -8.530 0.168 0.065
> 2020 3 13 58921 -107.160 -8.597 0.168 0.063
> 2020 3 14 58922 -107.352 -8.624 0.161 0.057
> 2020 3 15 58923 -107.339 -8.667 0.148 0.053
> 2020 3 16 58924 -107.299 -8.785 0.148 0.050
> 2020 3 17 58925 -107.403 -8.896 0.146 0.048
> 2020 3 18 58926 -107.525 -9.057 0.143 0.045
> 2020 3 19 58927 -107.478 -9.188 0.143 0.043
> 2020 3 20 58928 -107.167 -9.328 0.143 0.041
> 2020 3 21 58929 -106.746 -9.328 0.143 0.040
> 2020 3 22 58930 -106.488 -9.174 0.143 0.038
> 2020 3 23 58931 -106.488 -8.903 0.143 0.037
> 2020 3 24 58932 -106.628 -8.656 0.141 0.035
> 2020 3 25 58933 -106.814 -8.589 0.141 0.036
> 2020 3 26 58934 -106.872 -8.706 0.143 0.037
> 2020 3 27 58935 -106.797 -8.875 0.143 0.037
> 2020 3 28 58936 -106.602 -9.048 0.143 0.038
> 2020 3 29 58937 -106.510 -9.240 0.146 0.038
> 2020 3 30 58938 -106.577 -9.482 0.146 0.039
> 2020 3 31 58939 -106.605 -9.694 0.148 0.039
> 2020 4 1 58940 -106.503 -9.774 0.151 0.040
>
>
> 3 - EARTH ANGULAR VELOCITY : DAILY FINAL VALUES OF LOD, OMEGA AT 0hUTC
>
> LOD : Excess of the Length of day - 86400 s TAI
> OMEGA : Earth angular velocity
> Description: ftp://hpiers.obspm.fr/iers/bul/bulb_new/bulletinb.pdf
>
> DATE MJD LOD sigma OMEGA sigma
> (0 h UTC) ms ms mas/ms mas/ms
>
> 2020 3 2 58910 0.5935 0.0123 15.04106707535 0.00000000214
> 2020 3 3 58911 0.5165 0.0124 15.04106708875 0.00000000216
> 2020 3 4 58912 0.4635 0.0124 15.04106709798 0.00000000216
> 2020 3 5 58913 0.5028 0.0125 15.04106709114 0.00000000218
> 2020 3 6 58914 0.6226 0.0126 15.04106707028 0.00000000219
> 2020 3 7 58915 0.8000 0.0123 15.04106703940 0.00000000214
> 2020 3 8 58916 0.9841 0.0124 15.04106700735 0.00000000216
> 2020 3 9 58917 1.2166 0.0124 15.04106696688 0.00000000216
> 2020 3 10 58918 1.4868 0.0125 15.04106691984 0.00000000218
> 2020 3 11 58919 1.5777 0.0126 15.04106690401 0.00000000219
> 2020 3 12 58920 1.4394 0.0126 15.04106692809 0.00000000219
> 2020 3 13 58921 1.2287 0.0127 15.04106696477 0.00000000221
> 2020 3 14 58922 0.9841 0.0128 15.04106700735 0.00000000223
> 2020 3 15 58923 0.7350 0.0125 15.04106705072 0.00000000218
> 2020 3 16 58924 0.5614 0.0125 15.04106708094 0.00000000218
> 2020 3 17 58925 0.4298 0.0126 15.04106710385 0.00000000219
> 2020 3 18 58926 0.3245 0.0126 15.04106712218 0.00000000219
> 2020 3 19 58927 0.2934 0.0127 15.04106712759 0.00000000221
> 2020 3 20 58928 0.3209 0.0127 15.04106712281 0.00000000221
> 2020 3 21 58929 0.3708 0.0128 15.04106711412 0.00000000223
> 2020 3 22 58930 0.4059 0.0125 15.04106710801 0.00000000218
> 2020 3 23 58931 0.4873 0.0126 15.04106709384 0.00000000219
> 2020 3 24 58932 0.5568 0.0126 15.04106708174 0.00000000219
> 2020 3 25 58933 0.5687 0.0127 15.04106707967 0.00000000221
> 2020 3 26 58934 0.5606 0.0127 15.04106708108 0.00000000221
> 2020 3 27 58935 0.4715 0.0127 15.04106709659 0.00000000221
> 2020 3 28 58936 0.4307 0.0128 15.04106710369 0.00000000223
> 2020 3 29 58937 0.3247 0.0128 15.04106712214 0.00000000223
> 2020 3 30 58938 0.2583 0.0129 15.04106713370 0.00000000225
> 2020 3 31 58939 0.2069 0.0129 15.04106714265 0.00000000225
> 2020 4 1 58940 0.2524 0.0130 15.04106713473 0.00000000226
>
>
> 4 - INFORMATION ON TIME SCALES
>
>
> TAI - UTC = 37 s. during period [58910-58940]
>
> No leap second introduced during period [58910-58940]
>
> All information concerning time scales :
> - leap seconds announcements : Bulletin C
> - DUT1 announcements (UT1-UTC with 0.1 s accuracy) : Bulletin D
> can be found at :
> - web site : http://hpiers.obspm.fr/eop-pc/
> - anonymous ftp://hpiers.obspm.fr/iers/
>
>
> 5 - SUMMARY OF CONTRIBUTED EARTH ORIENTATION PARAMETERS SERIES
> This section gives the average precision of the individual series, some of them
> contributing to the combination (*) and their average agreement with it.
> The period covered is that one of Bulletin B.
>
> Units : micro-arc-seconds for x/y/dX/dY micro-seconds for UT1/LOD
> -----------------------------------------------------------------------------
> EOP series first line : Mean formal uncertainty
> Periods covered second line : Weighted RMS agreement with Bulletin B
> -----------------------------------------------------------------------------
> x y UT1 LOD dX dY Data Number
>
> VLBI Standards
>
> BKG
> bkg00014.eops 62 71 3 - 14 36 4
> 58914.27 to 58935.27 109 106 4 - 40 50
>
> GSFC
> gsf2019d.eoxy 37 36 2 5 11 28 9
> 58911.21 to 58939.21 79 47 4 16 50 67
>
> IAA
> iaa2007a.eops 38 43 2 - 11 30 9
> 58911.21 to 58939.21 203 189 10 - 68 85
>
> USNO
> usn2020a.eoxy 31 32 1 - 12 33 9
> 58911.21 to 58939.21 96 48 4 - 60 81
>
> IVS *
> ivs14r1X.eops 30 25 1 - 7 20 9
> 58911.20 to 58939.22 43 46 2 - 4 9
>
>
> VLBI Intensive
>
> GSI *
> gsiint2c.eopi - - 8 - - - 7
> 58915.33 to 58937.33 - - 30 - - -
>
> BKG *
> bkgint14.eopi - - 15 - - - 29
> 58910.79 to 58939.79 - - 25 - - -
>
> GSFC *
> gsf2019d.eopi - - 13 - - - 38
> 58910.31 to 58939.79 - - 38 - - -
>
> IAA *
> iaa2019a.eopi - - 13 - - - 38
> 58910.31 to 58939.79 - - 32 - - -
>
> USNO *
> usnouint.data - - 14 - - - 33
> 58910.31 to 58939.79 - - 35 - - -
>
>
> GPS
>
> CODE
> COD*ERP_R 5 5 - 1 - - 30
> 58910.50 to 58939.50 51 31 - 10 - -
>
> JPL
> jpl*.erp 9 10 - 8 - - 30
> 58910.50 to 58939.50 60 39 - 17 - -
>
> GFZ
> gfz*.erp 4 4 - 1 - - 30
> 58910.50 to 58939.50 54 43 - 13 - -
>
> ESOC
> esa*.erp 7 9 - 4 - - 30
> 58910.50 to 58939.50 52 32 - 11 - -
>
> SIO
> sio*.erp siu*.erp 38 47 - 17 - - 30
> 58910.50 to 58939.50 62 49 - 19 - -
>
> EMR
> emr*.erp 3 3 - 1 - - 30
> 58910.50 to 58939.50 55 49 - 13 - -
>
> IAA
> gnss.res 0 0 - 0 - - 30
> 58910.50 to 58939.50 66 63 - 30 - -
>
> GRGS
> grg*.erp 58 58 - 0 - - 24
> 58916.50 to 58939.50 57 35 - 9 - -
>
> ASI
> asi*.erp 9 9 - 0 - - 29
> 58910.50 to 58939.50 97 43 - 36 - -
>
> MIT
> mit*.erp 12 12 - 1 - - 30
> 58910.50 to 58939.50 58 37 - 16 - -
>
> IGR *
> igs96p02.erp 14 13 - 2 - - 30
> 58910.50 to 58939.50 46 32 - 13 - -
>
> IGS *
> igs00p03.erp 3 3 - 0 - - 30
> 58910.50 to 58939.50 55 34 - 14 - -
>
>
> SLR
>
> MCC
> tg*.02 173 234 - 29 - - 20
> 58910.00 to 58929.00 97 161 - 124 - -
>
> IAA
> slr_v.dat 67 91 - 5 - - 28
> 58910.00 to 58940.00 293 289 - 37 - -
>
> ASI
> slr_oca*.eop 66 97 - 20 - - 30
> 58910.50 to 58939.50 160 281 - 67 - -
>
> ILRS *
> ilrsa.eop 43 59 - 8 - - 30
> 58910.50 to 58939.50 214 265 - 24 - -
>
>
> BULLETIN A
>
> NEOS
> mark3.out 31 27 4 - - - 31
> 58910.00 to 58940.00 71 36 18 - - -
>
> To unsubscribe : http://hpiers.obspm.fr/eop-pc/products/bulletins/bulletin_registration.html
- [Cbor] MJD (Fwd: Bulletin B number 387) Carsten Bormann