MPEC 2020-P28 : DAILY ORBIT UPDATE (2020 August 8)
The following Minor Planet Electronic Circular may be linked-to from your own Web pages, but must not otherwise be redistributed electronically.A form allowing access to any MPEC is at the bottom of this page.
Read MPEC 2020-P27
Read MPEC 2020-P29
M.P.E.C. 2020-P28 Issued 2020 August 8, 12:00 UT
The Minor Planet Electronic Circulars contain information on unusual
minor planets and routine data on comets. They are published
on behalf of Division F of the International Astronomical Union by the
Minor Planet Center, Smithsonian Astrophysical Observatory,
Cambridge, MA 02138, U.S.A.
Prepared using the Tamkin Foundation Computer Network
MPC@CFA.HARVARD.EDU
URL https://www.minorplanetcenter.net/ ISSN 1523-6714
DAILY ORBIT UPDATE (2020 August 8)
Update to 2020-P25
Full-precision elements for the objects listed here are available at
https://www.minorplanetcenter.net/iau/MPCORB.html
New multiple-opposition orbits:
Object H G Epoch M Peri. Node Incl. e a Opp C
J99R09S 17.6 0.15 K205V 302.527 213.899 167.558 14.133 0.26431 2.61921 3 X
J99U05K 17.0 0.15 K205V 339.851 93.745 274.237 25.986 0.44259 2.60296 4 X
K01FK3H 17.8 0.15 K205V 314.907 176.850 183.628 13.043 0.19723 2.68206 5 X
K01QF0Y 15.5 0.15 K205V 314.741 129.988 263.043 24.112 0.08499 2.81181 8 X
K02CW2O 16.8 0.15 K205V 355.156 147.831 157.439 33.906 0.23753 2.60069 6 X
K03B47K 17.8 0.15 K205V 332.697 235.238 138.865 20.668 0.70605 2.74829 4 X
K06H00B 18.9 0.15 K205V 345.754 131.028 167.798 3.779 0.47036 2.28993 4 X
K06S19S 19.1 0.15 K205V 354.156 142.711 154.008 11.711 0.58040 2.78746 3 X
K06U63D 19.0 0.15 K205V 350.914 135.299 148.855 7.428 0.46848 2.32322 4 X
K07C15H 21.7 0.15 K205V 354.383 114.792 139.057 25.893 0.28498 1.38032 3 X
K07O01R 16.7 0.15 K205V 344.043 68.508 289.904 26.075 0.35032 2.63027 5 X
K10J69O 15.0 0.15 K205V 344.895 104.320 248.105 31.606 0.26716 2.88792 6 V
K14L14U 19.7 0.15 K205V 147.585 219.440 274.118 25.318 0.44952 1.28687 4 X
K14L21W 18.6 0.15 K205V 354.923 129.842 155.023 8.261 0.61293 3.35524 3 X
K16N16O 19.6 0.15 K205V 342.650 182.308 151.411 27.003 0.57430 2.45822 2 X
K16N38V 18.5 0.15 K205V 328.884 205.219 177.691 23.889 0.56864 2.56291 2 X
K16P00N 20.3 0.15 K205V 65.571 23.700 126.072 21.602 0.33220 0.85886 4 X
K16Y03O 20.1 0.15 K205V 342.690 342.724 285.456 22.102 0.26771 1.26570 4 X
K17Q34X 21.5 0.15 K205V 60.390 21.192 142.733 21.274 0.39804 1.02914 4 X
K17X62L 18.7 0.15 K205V 306.357 107.225 287.542 21.458 0.41431 2.19705 2 X
K18G04O 24.5 0.15 K205V 350.750 72.904 185.013 1.910 0.42781 1.61538 2 X
K18L04M 18.8 0.15 K205V 205.225 303.213 131.259 32.242 0.20114 1.01865 3 X
K19A05N 21.1 0.15 K205V 302.822 97.996 277.021 2.019 0.41450 1.61042 5 X
K19O01H 22.6 0.15 K205V 59.338 215.266 311.943 8.474 0.29755 0.99150 2 X
h7844 21.1 0.15 K205V 144.773 9.731 80.892 2.022 0.66548 0.67383 7 F
s0999 17.7 0.15 K205V 104.459 67.991 120.677 3.297 0.02589 2.52052 7 B
New perturbed one-opposition orbits:
Object H G Epoch M Peri. Node Incl. e a Arc C
K10R03S 22.6 0.15 K205V 67.127 155.784 179.240 5.051 0.45569 2.10706 109 X
K10S15K 22.8 0.15 K205V 261.238 329.651 22.373 4.772 0.55745 2.32786 47 X
K15Fh1Z 8.1 0.15 K154I 45.769 42.849 48.752 15.347 0.48965 66.71971 96 A
K16GK6N 20.0 0.15 K205V 285.426 319.935 11.797 20.178 0.47198 1.58425 36 X
K20H08S 21.4 0.15 K205V 323.546 158.180 155.081 8.615 0.29177 1.54456 103 X
K20K07R 21.0 0.15 K205V 332.896 69.693 259.200 10.949 0.36450 1.94228 70 X
K20L01Z 22.1 0.15 K205V 344.172 359.819 304.255 7.641 0.45173 2.32478 54 X
K20L02J 21.8 0.15 K205V 332.346 27.887 303.894 5.818 0.42242 2.11303 54 X
K20M00P 20.6 0.15 K205V 332.780 107.609 240.441 3.250 0.50067 2.48911 54 X
K20M04A 22.1 0.15 K205V 169.853 171.263 287.542 15.341 0.49145 0.86083 52 X
K20M04C 21.4 0.15 K205V 339.367 356.921 316.706 6.542 0.45027 2.09816 41 X
K20N00F 23.7 0.15 K205V 343.671 157.125 149.820 2.672 0.54853 2.40666 86 X
K20N01C 22.8 0.15 K205V 349.368 339.888 302.957 5.850 0.46666 2.10586 26 X
K20N01E 22.9 0.15 K205V 320.133 26.526 296.700 14.629 0.26164 1.45891 25 X
K20N01J 22.7 0.15 K205V 108.151 197.626 295.516 7.721 0.27503 0.93495 25 X
K20N01L 19.8 0.15 K205V 320.723 189.145 160.217 6.914 0.47401 2.27773 24 X
K20N01M 20.1 0.15 K205V 336.092 33.027 281.835 9.145 0.44915 2.20768 28 X
K20O00D 23.8 0.15 K205V 308.288 14.752 296.766 11.490 0.09418 1.14267 22 X
K20O00T 22.8 0.15 K205V 314.502 88.342 303.212 9.383 0.58932 1.93445 21 X
K20O01M 20.9 0.15 K205V 67.717 18.457 158.153 18.574 0.21288 1.19021 20 X
K20O02A 21.7 0.15 K205V 325.437 38.162 325.656 7.607 0.48508 2.27839 42 X
K20O02J 20.0 0.15 K205V 349.757 347.325 315.213 37.814 0.53191 2.69562 18 X
K20O03J 23.2 0.15 K205V 344.616 352.449 314.817 11.437 0.49903 2.44068 20 X
K20O03N 21.6 0.15 K205V 303.052 258.044 127.607 27.098 0.57671 1.71301 17 X
K20O04E 22.4 0.15 K205V 312.306 201.259 163.729 9.088 0.47034 1.70770 15 X
K20O05Y 23.7 0.15 K205V 357.263 270.069 307.204 4.195 0.65864 1.84670 11 X
K20P00D 19.2 0.15 K2082 341.863 71.839 320.532 26.478 0.42261 2.31376 6 B
K20P00E 20.0 0.15 K205V 335.141 126.375 234.181 22.437 0.59082 2.70071 14 X
K20P00F 23.2 0.15 K205V 352.398 1.380 254.407 2.101 0.55234 2.00024 11 V
New one-opposition orbits:
Object H G Epoch M Peri. Node Incl. e a Arc C
K15Fh2A 6.9 0.15 K153J 48.918 331.815 114.280 7.329 0.41486 60.33387 34 A
K15KJ0V 8.0 0.15 K155I 360.000 95.773 133.746 19.618 0.00970 57.53696 25 A
New observations:
K03B47K S2020 08 05.51837 16 29 19.99 +03 25 47.5 18 RLEP028C51
K03B47K s2020 08 05.51837 1 - 1925.0749 - 6580.1711 + 159.1437 EP028C51
K03B47K S2020 08 05.64914 16 28 59.82 +03 20 44.8 LEP028C51
K03B47K s2020 08 05.64914 1 - 1909.2937 - 6584.9706 + 150.7463 EP028C51
K03B47K S2020 08 05.71459 16 28 49.77 +03 18 12.8 LEP028C51
K03B47K s2020 08 05.71459 1 - 1906.1662 - 6584.8648 + 188.1906 EP028C51
K03B47K S2020 08 05.84537 16 28 29.63 +03 13 08.2 LEP028C51
K03B47K s2020 08 05.84537 1 - 1890.3932 - 6589.6504 + 179.8799 EP028C51
K03B47K S2020 08 05.91069 16 28 19.57 +03 10 35.8 LEP028C51
K03B47K s2020 08 05.91069 1 - 1877.7095 - 6594.4147 + 134.1472 EP028C51
K03B47K S2020 08 05.97615 16 28 09.51 +03 08 02.8 LEP028C51
K03B47K s2020 08 05.97615 1 - 1874.6094 - 6594.3845 + 171.6058 EP028C51
K03B47K S2020 08 06.10692 16 27 49.36 +03 02 55.3 LEP028C51
K03B47K s2020 08 06.10692 1 - 1858.8090 - 6599.0703 + 163.3181 EP028C51
K03B47K C2020 08 07.29732016 24 45.79 +02 15 12.6 17.71oVEP028T08
K03B47K C2020 08 07.30101316 24 45.20 +02 15 03.5 17.81oVEP028T08
K03B47K C2020 08 07.30654216 24 44.29 +02 14 50.2 17.51oVEP028T08
K03B47K C2020 08 07.31668116 24 42.67 +02 14 25.3 18.02oVEP028T08
K03B47K KC2020 08 07.87620716 23 16.31 +01 51 14.5 17.7 GVEP028L18
K03B47K KC2020 08 07.87766416 23 16.11 +01 51 10.5 18.3 GVEP028L18
K03B47K KC2020 08 07.87863716 23 15.94 +01 51 07.4 18.1 GVEP028L18
K06H00B C2020 08 07.48107620 58 12.33 -05 09 01.3 16.39oVEP028T08
K06H00B C2020 08 07.48431620 58 12.69 -05 09 03.6 16.42oVEP028T08
K06H00B C2020 08 07.49122720 58 13.47 -05 09 08.7 16.38oVEP028T08
K06H00B C2020 08 07.50114020 58 14.58 -05 09 16.1 16.48oVEP028T08
K06H00B KC2020 08 07.78535 20 58 53.40 -05 12 11.6 16.9 VqEP028L68
K06H00B KC2020 08 07.78943 20 58 53.86 -05 12 14.9 16.6 VqEP028L68
K06H00B KC2020 08 07.79238 20 58 54.21 -05 12 17.2 16.8 VqEP028L68
K06S19S pC2020 08 07.97117501 22 28.03 +08 02 54.9 20.1 GVEP028L01
K06S19S IC2020 08 07.97463701 22 28.30 +08 02 50.5 19.8 GVEP028L01
K06S19S pC2020 08 07.97809601 22 28.71 +08 02 46.6 19.8 GVEP028L01
K06S19S pC2020 08 07.98158801 22 29.06 +08 02 42.1 19.7 GVEP028L01
K06S19S pC2020 08 07.98602801 22 29.43 +08 02 35.6 18.6 GVEP028L01
K06U63D KC2020 07 11.96894820 06 34.73 +03 17 53.8 16.9 RVEP028160
K06U63D KC2020 07 11.97102520 06 34.95 +03 17 51.1 16.9 RVEP028160
K06U63D KC2020 07 11.97309820 06 35.14 +03 17 48.5 16.7 RVEP028160
K06U63D C2020 08 07.46807220 49 33.36 -08 52 49.5 17.21oVEP028T08
K06U63D C2020 08 07.47130220 49 33.57 -08 52 54.7 17.08oVEP028T08
K06U63D C2020 08 07.47736420 49 33.99 -08 53 04.8 17.09oVEP028T08
K06U63D C2020 08 07.48984220 49 34.88 -08 53 25.6 16.84oVEP028T08
K06U63D C2020 08 07.97229 20 50 15.18 -09 07 00.3 17.0 GVEP028K87
K06U63D C2020 08 07.97396 20 50 15.31 -09 07 03.2 17.3 GVEP028K87
K07C15H C2020 08 07.49539821 28 36.35 +01 00 30.7 17.87oVEP028T08
K07C15H C2020 08 07.49834121 28 36.58 +00 59 44.1 18.26oVEP028T08
K07C15H C2020 08 07.50482421 28 37.04 +00 58 01.8 18.09oVEP028T08
K07C15H C2020 08 07.51689021 28 37.94 +00 54 50.6 17.93oVEP028T08
K07C15H KC2020 08 07.99741 21 29 28.61 -01 11 31.9 17.8 GVEP028K87
K07C15H KC2020 08 08.00450 21 29 29.20 -01 13 23.2 18.0 GVEP028K87
K07C15H KC2020 08 08.01160 21 29 29.76 -01 15 13.2 17.9 GVEP028K87
K10R03S C2010 07 12.34515 19 10 37.34 +00 49 06.3 VEP028F51
K10R03S C2010 07 12.35685 19 10 37.51 +00 49 14.5 VEP028F51
K10R03S C2010 08 06.39873 19 35 00.20 +03 15 10.0 20.2 GVEP028F51
K10R03S C2010 08 06.40994 19 35 01.21 +03 15 08.8 19.6 GVEP028F51
K10S00B C2010 07 20.26725 19 07 32.52 +18 37 26.2 20.4 GVEP028F51
K10S00B C2010 07 20.27660 19 07 33.70 +18 37 42.6 20.2 GVEP028F51
K10S00B C2010 08 19.27806 20 51 16.20 +25 14 24.9 19.7 GVEP028F51
K10S00B C2010 08 19.29088 20 51 19.38 +25 14 20.3 19.6 GVEP028F51
K10S00B C2010 09 06.27207 22 06 51.36 +19 37 31.0 19.3 GVEP028F51
K10S00B C2010 09 06.28295 22 06 53.67 +19 37 13.9 19.7 GVEP028F51
K10S00B tC2010 09 08.30578 22 14 18.90 +18 40 50.6 20.1 GVEP028F51
K10S00B tC2010 09 08.31794 22 14 21.35 +18 40 30.4 20.0 GVEP028F51
K10S15K C2010 11 15.49191 02 46 39.90 +27 11 33.3 20.4 GVEP028F51
K10S15K C2010 11 15.50367 02 46 39.99 +27 11 35.5 20.5 GVEP028F51
K13E89H C2020 08 07.53295 01 18 19.076+33 57 11.37 20.6 iUEP028F51
K13E89H C2020 08 07.54544 01 18 23.822+33 57 57.74 20.3 iUEP028F51
K13E89H C2020 08 07.55789 01 18 28.516+33 58 43.37 20.1 iUEP028F51
K13E89H C2020 08 07.57043 01 18 33.247+33 59 29.28 20.0 iUEP028F51
K14L14U KC2020 07 13.25011621 29 21.06 +15 41 01.5 22.3 VuEP028H21
K14L14U KC2020 07 13.25953321 29 20.16 +15 41 10.4 22.2 VuEP028H21
K14L21W C2020 08 07.42562 20 57 14.506-05 55 36.27 17.3 iUEP028F52
K14L21W C2020 08 07.43793 20 57 15.272-05 55 54.25 17.4 iUEP028F52
K14L21W C2020 08 07.45022 20 57 16.038-05 56 12.19 17.4 iUEP028F52
K14L21W C2020 08 07.46247 20 57 16.803-05 56 30.12 17.4 iUEP028F52
K14L21W C2020 08 07.48107620 57 17.95 -05 56 56.7 17.29oVEP028T08
K14L21W C2020 08 07.48431620 57 18.15 -05 57 01.3 17.41oVEP028T08
K14L21W C2020 08 07.49122720 57 18.59 -05 57 11.5 17.36oVEP028T08
K14L21W C2020 08 07.50114020 57 19.21 -05 57 26.0 17.46oVEP028T08
K14L21W KC2020 08 07.98148 20 57 54.22 -06 09 16.4 17.3 GVEP028K87
K14L21W KC2020 08 07.98527 20 57 54.47 -06 09 21.5 17.6 GVEP028K87
K16F14Y S2020 08 06.91487 02 13 05.94 +42 09 54.4 19 RLEP028C51
K16F14Y s2020 08 06.91487 1 + 464.4918 + 4372.8411 + 5249.1124 EP028C51
K16F14Y S2020 08 06.98033 02 13 15.13 +42 10 15.0 LEP028C51
K16F14Y s2020 08 06.98033 1 + 469.9136 + 4400.8581 + 5225.2025 EP028C51
K16F14Y S2020 08 07.11110 02 13 33.73 +42 10 52.9 LEP028C51
K16F14Y s2020 08 07.11110 1 + 457.7706 + 4395.9032 + 5230.4289 EP028C51
K16F14Y S2020 08 07.24188 02 13 52.16 +42 11 30.5 LEP028C51
K16F14Y s2020 08 07.24188 1 + 445.6542 + 4390.9163 + 5235.6428 EP028C51
K16F14Y S2020 08 07.30720 02 14 01.39 +42 11 50.2 LEP028C51
K16F14Y s2020 08 07.30720 1 + 428.3107 + 4357.7802 + 5264.6265 EP028C51
K16F14Y S2020 08 07.43798 02 14 19.76 +42 12 26.9 LEP028C51
K16F14Y s2020 08 07.43798 1 + 416.3190 + 4352.7397 + 5269.7354 EP028C51
K16GK6N C2016 05 11.32982711 06 39.260+03 12 09.01 23.54GVEP028T12
K16GK6N C2016 05 11.33583111 06 39.058+03 12 06.57 23.56GVEP028T12
K16GK6N C2016 05 11.34146111 06 38.861+03 12 04.36 23.09GVEP028T12
K16GK6N C2016 05 11.34758811 06 38.646+03 12 02.05 23.04GVEP028T12
K16N16O pC2020 08 08.00877603 15 09.03 +12 48 28.6 19.8 GVEP028L01
K16N16O pC2020 08 08.01397003 15 10.76 +12 48 04.2 20.0 GVEP028L01
K16N16O pC2020 08 08.01919103 15 12.59 +12 47 41.5 19.9 GVEP028L01
K16N38V C2020 08 08.45641 23 12 03.78 +35 04 56.4 18.8 GVEP028I52
K16N38V C2020 08 08.45868 23 12 04.15 +35 04 57.0 18.9 GVEP028I52
K16N38V C2020 08 08.46045 23 12 04.44 +35 04 57.8 18.7 GVEP028I52
K16P00N KC2020 07 12.00749223 15 48.09 +35 19 16.4 17.3 RVEP028160
K16P00N KC2020 07 12.01113523 15 47.16 +35 18 54.7 17.5 RVEP028160
K16P00N KC2020 07 12.01625323 15 45.83 +35 18 23.7 17.5 RVEP028160
K16Y03O KC2020 08 06.89257318 18 43.25 +79 42 29.3 19.3 GVEP028C95
K16Y03O KC2020 08 06.91498318 18 51.77 +79 41 41.7 19.9 GVEP028C95
K16Y03O KC2020 08 06.93741818 19 00.64 +79 40 54.1 19.5 GVEP028C95
K16Y08R C2020 08 07.53425 01 22 45.371+31 02 12.39 21.1 iUEP028F51
K16Y08R C2020 08 07.54676 01 22 46.796+31 03 01.92 20.8 iUEP028F51
K16Y08R C2020 08 07.55922 01 22 48.224+31 03 51.01 20.8 iUEP028F51
K17Q34X C2020 08 08.47438 21 30 39.57 -06 32 48.2 20.7 GVEP028I52
K17Q34X C2020 08 08.47529 21 30 39.42 -06 32 52.4 20.6 GVEP028I52
K17Q34X C2020 08 08.47621 21 30 39.15 -06 32 57.7 21.5 GVEP028I52
K17X62L C2020 08 06.31075021 16 15.10 +14 12 38.3 19.80rUEP028I41
K17X62L C2020 08 06.36715021 16 09.52 +14 14 08.6 20.02gUEP028I41
K17X62L C2020 08 07.36244021 14 34.70 +14 40 35.6 19.57rUEP028I41
K17X62L C2020 08 07.44139021 14 26.75 +14 42 40.4 20.17gUEP028I41
K17X62L C2020 08 08.47733 21 12 45.85 +15 09 54.3 VEP028I52
K17X62L C2020 08 08.47953 21 12 45.60 +15 09 57.9 20.5 GVEP028I52
K17X62L C2020 08 08.48173 21 12 45.36 +15 10 01.4 19.5 GVEP028I52
K18G04O C2020 08 08.47843 22 02 50.90 +08 57 21.2 19.9 GVEP028I52
K18G04O C2020 08 08.48063 22 02 51.05 +08 57 08.6 20.4 GVEP028I52
K18G04O C2020 08 08.48283 22 02 51.03 +08 56 56.5 21.1 GVEP028I52
K18L04M KC2020 07 12.02129223 30 42.13 +20 11 11.8 18.1 RVEP028160
K18L04M KC2020 07 12.02601523 30 43.28 +20 11 00.1 17.9 RVEP028160
K18L04M KC2020 07 12.03062023 30 44.41 +20 10 48.8 17.4 RVEP028160
K19A05N C2020 08 07.55529322 27 35.90 +07 37 21.1 16.81oVEP028T08
K19A05N C2020 08 07.57923722 27 44.62 +07 39 56.8 16.80oVEP028T08
K19A05N C2020 08 07.60787422 27 55.16 +07 43 02.9 16.84oVEP028T08
K19A05N KC2020 08 08.03806 22 30 54.90 +08 30 13.4 16.9 GVEP028K87
K19A05N KC2020 08 08.03972 22 30 55.59 +08 30 25.5 17.5 GVEP028K87
K19A05N KC2020 08 08.04139 22 30 56.21 +08 30 36.0 18.0 GVEP028K87
K19O01H C2020 08 08.45957 21 28 43.57 -10 12 57.6 20.0 GVEP028I52
K19O01H C2020 08 08.46308 21 28 42.48 -10 12 56.0 VEP028I52
K19O01H C2020 08 08.46369 21 28 42.21 -10 12 55.1 VEP028I52
K20H08S KC2020 08 07.81739817 58 07.49 +08 04 57.6 19.1 GVEP028L34
K20H08S KC2020 08 07.83007817 58 10.11 +08 04 12.5 18.1 GVEP028L34
K20H08S KC2020 08 07.83109 17 58 10.49 +08 04 03.8 19.2 VVEP028K83
K20H08S KC2020 08 07.83415 17 58 11.10 +08 03 53.1 19.3 VVEP028K83
K20H08S KC2020 08 07.83721 17 58 11.81 +08 03 41.7 19.0 VVEP028K83
K20H08S KC2020 08 07.84334 17 58 13.03 +08 03 20.6 19.3 VVEP028K83
K20H08S KC2020 08 07.84482517 58 13.18 +08 03 21.4 18.1 GVEP028L34
K20H08S KC2020 08 07.84640 17 58 13.66 +08 03 10.0 19.1 VVEP028K83
K20H08S KC2020 08 07.85581817 58 15.45 +08 02 42.6 18.1 GVEP028L34
K20H08S KC2020 08 07.87935 17 58 20.70 +08 01 08.0 19.1 GVEP028K87
K20H08S KC2020 08 07.88490 17 58 21.88 +08 00 48.7 19.1 GVEP028K87
K20H08S KC2020 08 07.88712 17 58 22.35 +08 00 41.3 19.4 GVEP028K87
K20K07R C2020 08 08.36673 22 42 21.17 +35 13 00.9 20.3 GVEP028I52
K20K07R C2020 08 08.36867 22 42 21.24 +35 13 04.7 20.4 GVEP028I52
K20K07R C2020 08 08.37326 22 42 21.54 +35 13 14.3 20.3 GVEP028I52
K20L01Z C2020 08 08.41624 20 33 15.69 -12 15 49.5 20.3 GVEP028I52
K20L01Z C2020 08 08.41825 20 33 15.73 -12 15 45.0 20.1 GVEP028I52
K20L01Z C2020 08 08.42026 20 33 15.78 -12 15 41.5 20.1 GVEP028I52
K20L02J KC2020 08 08.04788621 29 26.59 -07 07 52.8 19.5 GVEP028L01
K20L02J KC2020 08 08.05100221 29 26.68 -07 07 46.3 19.3 GVEP028L01
K20L02J C2020 08 08.46854 21 29 46.41 -06 52 30.0 19.8 GVEP028I52
K20L02J C2020 08 08.47040 21 29 46.47 -06 52 25.5 VEP028I52
K20L02J C2020 08 08.47226 21 29 46.53 -06 52 21.2 VEP028I52
K20M00P C2020 08 07.42370 20 44 27.105-04 10 04.00 19.0 iUEP028F52
K20M00P C2020 08 07.43602 20 44 27.247-04 09 55.74 19.1 iUEP028F52
K20M00P C2020 08 07.44831 20 44 27.411-04 09 47.37 19.0 iUEP028F52
K20M00P C2020 08 07.46056 20 44 27.561-04 09 39.19 19.1 iUEP028F52
K20M00P C2020 08 08.43063 20 44 50.30 -03 58 55.3 18.8 GVEP028I52
K20M00P C2020 08 08.43488 20 44 50.35 -03 58 52.1 18.8 GVEP028I52
K20M00P C2020 08 08.45562 20 44 50.78 -03 58 37.6 18.9 GVEP028I52
K20M02F C2020 08 07.57815 22 41 04.919+31 24 03.65 20.0 iUEP028F52
K20M02F C2020 08 07.58838 22 41 04.598+31 24 06.31 20.3 iUEP028F52
K20M02F C2020 08 07.59864 22 41 04.312+31 24 08.47 20.0 iUEP028F52
K20M02F C2020 08 07.60886 22 41 04.027+31 24 10.97 20.0 iUEP028F52
K20M04A C2020 08 08.22902 17 49 28.82 +16 55 40.1 19.8 GVEP028I52
K20M04A C2020 08 08.23623 17 49 25.16 +16 55 55.3 VEP028I52
K20M04A C2020 08 08.23700 17 49 24.75 +16 55 56.4 VEP028I52
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K20N00F C2020 08 08.40413 20 13 36.79 -10 20 12.9 20.5 GVEP028I52
K20N01C C2020 08 08.38684 21 48 00.64 -02 51 23.5 20.1 GVEP028I52
K20N01C C2020 08 08.39318 21 48 00.72 -02 51 12.3 19.7 GVEP028I52
K20N01C C2020 08 08.39953 21 48 00.83 -02 51 01.2 20.3 GVEP028I52
K20N01E C2020 08 08.35411 23 09 17.47 +48 19 09.9 VEP028I52
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K20N01E C2020 08 08.36446 23 09 17.21 +48 20 02.0 20.0 GVEP028I52
K20N01J C2020 08 07.42050 20 39 03.938-01 14 37.91 20.3 iUEP028F52
K20N01J C2020 08 07.43283 20 39 00.130-01 14 30.92 20.2 iUEP028F52
K20N01J C2020 08 07.44511 20 38 56.329-01 14 23.37 20.1 iUEP028F52
K20N01J C2020 08 07.45738 20 38 52.514-01 14 16.04 20.1 iUEP028F52
K20N01J C2020 08 08.43137 20 34 08.38 -01 05 01.2 19.7 GVEP028I52
K20N01J C2020 08 08.43228 20 34 08.12 -01 05 00.8 19.5 GVEP028I52
K20N01J C2020 08 08.43320 20 34 07.80 -01 05 01.0 19.7 GVEP028I52
K20N01L C2020 08 08.22722 16 54 48.50 -10 48 09.8 22.3 GVEP028I52
K20N01L C2020 08 08.23082 16 54 48.60 -10 48 12.3 21.0 GVEP028I52
K20N01L C2020 08 08.23443 16 54 48.69 -10 48 14.9 20.7 GVEP028I52
K20N01M KC2020 08 07.85979 17 43 06.66 -08 14 07.3 18.9 GVEP028K87
K20N01M KC2020 08 07.86550 17 43 07.37 -08 13 57.8 18.7 GVEP028K87
K20N01M KC2020 08 07.87183 17 43 08.16 -08 13 47.5 19.4 GVEP028K87
K20O00D C2020 08 08.42281 19 44 09.50 +56 54 10.4 20.9 GVEP028I52
K20O00D C2020 08 08.42407 19 44 09.34 +56 54 13.2 20.2 GVEP028I52
K20O00D C2020 08 08.42533 19 44 09.24 +56 54 15.4 20.9 GVEP028I52
K20O00T KC2020 08 07.91560820 29 23.60 +03 47 34.7 18.8 GVEP028B49
K20O00T KC2020 08 07.92539420 29 20.95 +03 49 20.9 19.1 GVEP028B49
K20O00T C2020 08 08.43394 20 27 04.65 +05 24 04.4 18.5 GVEP028I52
K20O00T C2020 08 08.43436 20 27 04.54 +05 24 09.0 18.6 GVEP028I52
K20O00T C2020 08 08.43540 20 27 04.24 +05 24 21.2 18.5 GVEP028I52
K20O00T C2020 08 08.43582 20 27 04.11 +05 24 26.1 18.7 GVEP028I52
K20O01M C2020 08 08.46947 20 46 17.12 +10 08 24.6 VEP028I52
K20O01M C2020 08 08.47134 20 46 16.93 +10 08 16.5 20.4 GVEP028I52
K20O01M C2020 08 08.47320 20 46 16.75 +10 08 11.2 20.2 GVEP028I52
K20O02A C2020 08 08.35153 22 07 35.94 -15 59 33.4 19.9 GVEP028I52
K20O02A C2020 08 08.35670 22 07 35.98 -15 59 25.2 19.6 GVEP028I52
K20O02A C2020 08 08.36187 22 07 36.04 -15 59 16.7 19.7 GVEP028I52
K20O02J KC2020 08 08.01914 22 13 30.59 +08 28 51.5 19.1 GVEP028K87
K20O02J KC2020 08 08.02267 22 13 29.53 +08 29 14.0 18.4 GVEP028K87
K20O02J KC2020 08 08.02619 22 13 28.52 +08 29 36.5 18.3 GVEP028K87
K20O02J C2020 08 08.25073 22 12 26.79 +08 53 51.8 18.6 GVEP028I52
K20O02J C2020 08 08.25103 22 12 26.71 +08 53 53.6 18.4 GVEP028I52
K20O02J C2020 08 08.25134 22 12 26.63 +08 53 55.6 18.5 GVEP028I52
K20O03J C2020 08 08.42725 21 12 36.62 -14 37 40.9 22.3 GVEP028I52
K20O03J C2020 08 08.42847 21 12 36.64 -14 37 36.0 21.1 GVEP028I52
K20O03J C2020 08 08.42969 21 12 36.63 -14 37 29.6 VEP028I52
K20O03N .C2020 08 05.26588 15 55 55.14 -01 35 48.0 21.6 GVEP028F65
K20O03N C2020 08 05.26588 15 55 55.14 -01 35 48.0 21.6 GVEP028F65
K20O03N .C2020 08 05.26904 15 55 54.38 -01 36 00.5 21.7 GVEP028F65
K20O03N C2020 08 05.26904 15 55 54.38 -01 36 00.5 21.7 GVEP028F65
K20O03N .C2020 08 05.27695 15 55 52.52 -01 36 30.7 21.7 GVEP028F65
K20O03N C2020 08 05.27695 15 55 52.52 -01 36 30.7 21.7 GVEP028F65
K20O04E C2020 08 07.44303818 07 12.353+60 59 12.00 19.50iUEP028F51
K20O04E C2020 08 07.45024418 07 07.479+61 00 39.55 19.52iUEP028F51
K20O04E C2020 08 07.46469018 06 57.740+61 03 34.82 19.15iUEP028F51
K20O04E C2020 08 08.34910 17 56 21.96 +64 15 00.5 19.3 GVEP028I52
K20O04E C2020 08 08.34953 17 56 21.50 +64 15 06.0 19.6 GVEP028I52
K20O04E C2020 08 08.34995 17 56 21.20 +64 15 11.0 19.8 GVEP028I52
K20O05Y C2020 08 08.33571 21 05 22.17 -11 26 30.7 20.5 GVEP028I52
K20O05Y C2020 08 08.33898 21 05 21.58 -11 26 31.3 20.3 GVEP028I52
K20O05Y C2020 08 08.33975 21 05 21.41 -11 26 32.3 20.8 GVEP028I52
K20O05Y C2020 08 08.34298 21 05 20.79 -11 26 33.7 21.1 GVEP028I52
K20P00E KC2020 08 08.18252419 36 27.13 +56 47 09.0 uEP028H21
K20P00E KC2020 08 08.18834719 36 26.99 +56 47 22.6 20.8 VuEP028H21
K20P00E C2020 08 08.24424 19 36 25.28 +56 49 30.3 20.6 GVEP028I52
K20P00E C2020 08 08.24592 19 36 25.19 +56 49 33.6 20.8 GVEP028I52
K20P00E C2020 08 08.24760 19 36 25.10 +56 49 38.0 20.0 GVEP028I52
K20P00E C2020 08 08.24928 19 36 25.06 +56 49 41.4 20.6 GVEP028I52
01917 C2020 08 07.24879114 50 35.27 +05 31 26.5 18.99oVEP028T08
01917 C2020 08 07.25293714 50 35.40 +05 31 24.3 19.01oVEP028T08
01917 C2020 08 07.25941914 50 35.60 +05 31 21.6 18.87oVEP028T08
01917 C2020 08 07.27052614 50 36.00 +05 31 17.1 18.86oVEP028T08
03753 C2020 08 07.56841003 59 50.35 -01 00 46.4 18.83oVEP028T08
03753 C2020 08 07.57255703 59 51.05 -01 00 47.7 18.20oVEP028T08
03753 C2020 08 07.58037303 59 52.29 -01 00 49.9 18.41oVEP028T08
03753 C2020 08 07.59562303 59 54.70 -01 00 54.2 18.58oVEP028T08
04055 C2020 08 05.42243102 18 07.56 +14 52 09.9 16.36gUEP028I41
04055 C2020 08 05.48464002 18 18.43 +14 50 41.2 15.76rUEP028I41
04055 C2020 08 07.43426002 24 03.74 +14 02 47.8 15.76rUEP028I41
04055 C2020 08 07.48463002 24 12.34 +14 01 32.2 16.20gUEP028I41
04953 C2020 08 07.54954802 58 06.80 -12 46 36.1 18.54oVEP028T08
04953 C2020 08 07.55596902 58 07.25 -12 46 37.9 18.49oVEP028T08
04953 C2020 08 07.55919402 58 07.43 -12 46 39.0 18.63oVEP028T08
04953 C2020 08 07.57487102 58 08.49 -12 46 43.4 18.52oVEP028T08
20460 C2020 08 07.39308 23 25 28.97 +45 18 24.2 19.2 GVEP028G96
20460 C2020 08 07.39887 23 25 28.60 +45 18 28.6 19.8 GVEP028G96
20460 C2020 08 07.40451 23 25 28.23 +45 18 32.5 19.6 GVEP028G96
23187 C2020 08 07.58782 21 55 50.229+23 08 30.56 19.0 iUEP028F51
23187 C2020 08 07.60515 21 55 48.684+23 08 15.85 18.9 iUEP028F51
23187 C2020 08 07.61422 21 55 47.872+23 08 08.14 19.0 iUEP028F51
53430 C2020 08 07.17909 16 27 39.08 +51 49 53.2 20.0 GVEP028G96
53430 C2020 08 07.18436 16 27 38.70 +51 49 51.9 19.9 GVEP028G96
53430 C2020 08 07.18964 16 27 38.31 +51 49 50.9 20.0 GVEP028G96
53430 C2020 08 07.19491 16 27 37.92 +51 49 49.9 19.9 GVEP028G96
53435 C2020 08 07.53707002 40 20.60 -09 38 25.3 16.37oVEP028T08
53435 C2020 08 07.54031102 40 21.17 -09 38 22.7 16.43oVEP028T08
53435 C2020 08 07.54632702 40 22.23 -09 38 17.8 16.31oVEP028T08
53435 C2020 08 07.55827202 40 24.33 -09 38 08.4 16.25oVEP028T08
54789 C2020 08 07.46669320 41 17.74 -19 07 39.7 17.70oVEP028T08
54789 C2020 08 07.46992020 41 17.47 -19 07 42.8 17.48oVEP028T08
54789 C2020 08 07.47590920 41 16.99 -19 07 48.5 17.56oVEP028T08
54789 C2020 08 07.48569520 41 16.23 -19 07 58.3 17.60oVEP028T08
66008 C2020 08 07.54934522 45 24.22 +42 20 10.8 18.16oVEP028T05
66008 C2020 08 07.55259522 45 23.79 +42 20 05.5 18.25oVEP028T05
66008 C2020 08 07.58773122 45 19.08 +42 19 09.4 18.20oVEP028T05
66008 C2020 08 07.61624022 45 15.32 +42 18 24.6 18.32oVEP028T05
68348 C2020 08 07.27421015 53 21.41 -07 42 48.0 19.22oVEP028T08
68348 C2020 08 07.27790915 53 21.38 -07 42 48.4 18.96oVEP028T08
68348 C2020 08 07.28805315 53 21.20 -07 42 49.0 19.04oVEP028T08
68348 C2020 08 07.29359715 53 21.14 -07 42 49.1 18.91oVEP028T08
68950 C2020 08 07.24279814 24 52.96 +04 09 55.0 18.46oVEP028T08
68950 C2020 08 07.24602714 24 53.58 +04 09 53.7 18.42oVEP028T08
68950 C2020 08 07.25385914 24 55.02 +04 09 50.8 18.65oVEP028T08
68950 C2020 08 07.26776014 24 57.68 +04 09 45.8 18.57oVEP028T08
A5140 C2020 08 07.46921320 58 28.24 +58 59 34.4 17.45oVEP028T05
A5140 C2020 08 07.47241920 58 27.18 +58 59 31.3 17.48oVEP028T05
A5140 C2020 08 07.47793820 58 25.43 +58 59 25.5 17.87oVEP028T05
A5140 C2020 08 07.48853020 58 21.97 +58 59 15.0 17.63oVEP028T05
B5052 C2020 08 06.16616014 20 13.99 +29 10 23.1 19.34rUEP028I41
B5052 C2020 08 06.17987014 20 16.65 +29 10 13.8 19.20rUEP028I41
B5052 C2020 08 06.20190014 20 20.91 +29 09 59.2 19.95gUEP028I41
D7108 C2020 08 07.54520823 36 27.48 +38 42 13.9 17.50oVEP028T05
D7108 C2020 08 07.54888823 36 25.25 +38 42 23.8 17.12oVEP028T05
D7108 C2020 08 07.55631023 36 20.78 +38 42 43.3 17.25oVEP028T05
D7108 C2020 08 07.59050123 36 00.16 +38 44 13.0 17.52oVEP028T05
E4411 C2020 08 07.59208303 46 07.13 +36 15 51.8 16.70oVEP028T05
E4411 C2020 08 07.60269603 46 07.80 +36 16 01.3 16.67oVEP028T05
E4411 C2020 08 07.61326003 46 08.46 +36 16 10.7 16.76oVEP028T05
E4411 C2020 08 07.62438503 46 09.14 +36 16 20.6 16.84oVEP028T05
F4302 C2020 08 07.55195 01 57 30.310+34 32 02.47 20.9 iUEP028F51
F4302 C2020 08 07.56444 01 57 31.138+34 32 08.59 21.3 iUEP028F51
F4302 C2020 08 07.57702 01 57 31.930+34 32 14.40 21.2 iUEP028F51
G3348 S2020 08 06.56177 16 22 34.67 -12 37 24.5 19 RLEP028C51
G3348 s2020 08 06.56177 1 - 1519.2373 - 6463.8229 - 1722.3711 EP028C51
G3348 S2020 08 06.69254 16 22 43.31 -12 37 59.9 LEP028C51
G3348 s2020 08 06.69254 1 - 1503.1644 - 6465.4505 - 1730.3750 EP028C51
G3348 S2020 08 07.08487 16 23 09.44 -12 39 52.2 LEP028C51
G3348 s2020 08 07.08487 1 - 1454.9512 - 6470.0519 - 1754.2799 EP028C51
G3348 S2020 08 07.21565 16 23 18.18 -12 40 27.0 LEP028C51
G3348 s2020 08 07.21565 1 - 1438.8852 - 6471.4979 - 1762.2014 EP028C51
G3348 S2020 08 07.28110 16 23 22.57 -12 40 44.6 LEP028C51
G3348 s2020 08 07.28110 1 - 1438.4417 - 6481.3199 - 1725.9764 EP028C51
G3902 C2020 08 05.46625001 39 08.99 +34 15 54.6 19.75rUEP028I41
G3902 C2020 08 05.47919001 39 10.45 +34 16 14.0 19.47rUEP028I41
G3902 C2020 08 06.44841001 41 04.32 +34 40 18.0 19.93rUEP028I41
G3902 C2020 08 06.44935001 41 04.44 +34 40 19.2 19.91rUEP028I41
G3902 C2020 08 07.41463001 42 58.19 +35 04 19.0 19.53rUEP028I41
G3902 C2020 08 07.43190001 43 00.18 +35 04 45.0 19.68rUEP028I41
G3902 C2020 08 07.46372001 43 03.83 +35 05 33.1 20.40gUEP028I41
G3902 C2020 08 07.53108 01 43 11.922+35 07 14.28 19.3 iUEP028F52
G3902 C2020 08 07.54270 01 43 13.270+35 07 31.96 19.5 iUEP028F52
G3902 C2020 08 07.56600 01 43 15.927+35 08 06.99 19.5 iUEP028F52
J0166 C2020 08 07.24740714 48 15.70 -06 58 30.8 18.00oVEP028T08
J0166 C2020 08 07.25063414 48 16.46 -06 58 34.4 18.00oVEP028T08
J0166 C2020 08 07.25618114 48 17.75 -06 58 40.2 18.25oVEP028T08
J0166 C2020 08 07.26683914 48 20.24 -06 58 51.8 18.37oVEP028T08
R6274 C2020 08 07.13707 13 39 02.95 +52 50 17.9 19.8 GVEP028G96
R6274 C2020 08 07.14144 13 39 03.67 +52 50 17.3 19.9 GVEP028G96
R6274 C2020 08 07.14582 13 39 04.39 +52 50 16.4 19.7 GVEP028G96
R6274 C2020 08 07.15021 13 39 05.10 +52 50 15.9 19.9 GVEP028G96
U8043 C2020 08 07.47013221 46 37.47 +46 57 06.8 17.57oVEP028T05
U8043 C2020 08 07.47333521 46 35.13 +46 56 43.5 17.73oVEP028T05
U8043 C2020 08 07.47887621 46 31.02 +46 56 02.9 17.53oVEP028T05
U8043 C2020 08 07.48944521 46 23.18 +46 54 45.5 17.72oVEP028T05
a1123 C2020 08 07.49880221 41 26.20 -14 31 29.5 18.36oVEP028T08
a1123 C2020 08 07.50205921 41 26.06 -14 31 36.7 18.27oVEP028T08
a1123 C2020 08 07.50718621 41 25.80 -14 31 47.6 18.41oVEP028T08
a1123 C2020 08 07.52104321 41 25.09 -14 32 17.2 18.07oVEP028T08
c2503 KC2020 07 11.93876318 44 31.11 +13 23 56.2 17.3 RVEP028160
c2503 KC2020 07 11.94047218 44 31.06 +13 23 59.8 17.2 RVEP028160
c2503 KC2020 07 11.94196918 44 30.99 +13 24 02.7 17.2 RVEP028160
f4903 C2020 08 04.43520002 51 42.38 +24 40 17.9 19.48rUEP028I41
f4903 C2020 08 04.46760002 51 46.84 +24 40 17.7 19.86gUEP028I41
f4903 C2020 08 07.42862002 58 31.39 +24 38 56.7 19.47rUEP028I41
f4903 C2020 08 07.48369002 58 38.64 +24 38 54.4 20.42gUEP028I41
g8086 C2020 08 07.59349802 36 54.80 +41 23 36.3 16.69oVEP028T05
g8086 C2020 08 07.59765702 36 55.59 +41 23 44.3 16.70oVEP028T05
g8086 C2020 08 07.59949402 36 56.00 +41 23 48.1 16.61oVEP028T05
g8086 C2020 08 07.61567402 36 59.02 +41 24 18.8 16.68oVEP028T05
g8086 C2020 08 07.62206902 37 00.23 +41 24 30.5 16.66oVEP028T05
g8086 C2020 08 07.62669002 37 01.12 +41 24 39.7 16.64oVEP028T05
h7844 C2020 06 15.50896920 19 20.02 -22 02 29.9 18.09oVEP028T08
h7844 C2020 06 15.51219420 19 17.87 -22 02 39.4 17.32oVEP028T08
h7844 C2020 06 15.51726720 19 14.38 -22 02 54.7 17.57oVEP028T08
h7844 C2020 06 15.52649220 19 08.13 -22 03 22.4 17.50oVEP028T08
h7844 C2020 06 16.49298420 08 12.12 -22 51 39.7 18.34cVEP028T05
h7844 C2020 06 16.51653620 07 54.72 -22 52 50.9 17.94cVEP028T05
h7844 C2020 06 16.51973820 07 52.33 -22 53 01.2 19.66cVEP028T05
h7844 C2020 06 16.52568420 07 47.99 -22 53 18.8 17.96cVEP028T05
h7844 KC2020 06 20.66272 19 09 29.35 -26 11 23.6 16.8 RqEP028Q11
h7844 KC2020 06 20.66989 19 09 22.14 -26 11 41.5 17.2 RqEP028Q11
h7844 KC2020 06 20.67345 19 09 18.56 -26 11 50.2 16.5 RqEP028Q11
h7844 C2020 06 21.48259518 55 47.75 -26 43 29.9 17.34cVEP028T05
h7844 C2020 06 21.48584318 55 44.31 -26 43 36.9 16.99cVEP028T05
h7844 C2020 06 21.49416618 55 35.49 -26 43 55.3 16.76cVEP028T05
h7844 C2020 06 21.52897418 54 58.58 -26 45 10.2 17.24cVEP028T05
h7844 C2020 06 22.16756 18 43 54.35 -27 06 23.4 17.2 RqEP028Y00
h7844 C2020 06 22.16884 18 43 52.96 -27 06 24.8 17.1 RqEP028Y00
h7844 C2020 06 22.16984 18 43 51.96 -27 06 26.9 16.6 RqEP028Y00
h7844 C2020 07 09.30686014 38 26.89 -20 32 22.5 18.53oVEP028T08
h7844 C2020 07 09.31008414 38 25.39 -20 32 14.6 18.59oVEP028T08
h7844 C2020 07 09.31561514 38 22.86 -20 32 02.6 18.41oVEP028T08
h7844 C2020 07 09.32762814 38 17.39 -20 31 35.6 18.40oVEP028T08
n7135 C2020 08 07.49681622 26 16.64 +37 38 35.9 18.91oVEP028T05
n7135 C2020 08 07.50004022 26 16.20 +37 38 31.5 19.10oVEP028T05
n7135 C2020 08 07.50835722 26 14.83 +37 38 19.7 18.75oVEP028T05
n7135 C2020 08 07.54199222 26 09.51 +37 37 28.1 18.85oVEP028T05
o0094 KC2020 08 06.90456 18 14 38.74 +39 53 59.8 17.6 GVEP028Z43
o0094 KC2020 08 06.91315 18 14 41.24 +39 52 53.4 17.6 GVEP028Z43
o0094 KC2020 08 06.92205 18 14 43.86 +39 51 44.0 17.5 GVEP028Z43
o0094 KC2020 08 06.93070 18 14 46.37 +39 50 36.7 17.6 GVEP028Z43
o0094 KC2020 08 06.93819 18 14 48.54 +39 49 38.2 17.6 GVEP028Z43
o0094 C2020 08 07.38451418 17 05.03 +38 51 34.3 17.37oVEP028T05
o0094 C2020 08 07.38774518 17 05.97 +38 51 08.4 17.56oVEP028T05
o0094 C2020 08 07.39511718 17 08.07 +38 50 09.1 17.23oVEP028T05
o0094 C2020 08 07.40620918 17 11.23 +38 48 40.1 17.27oVEP028T05
o6459 C2020 08 07.60206405 08 52.09 -04 10 17.7 18.81oVEP028T08
o6459 C2020 08 07.61221805 08 54.82 -04 10 43.0 18.70oVEP028T08
o6459 C2020 08 07.61873305 08 56.46 -04 10 58.3 18.70oVEP028T08
o6459 C2020 08 07.62564705 08 58.25 -04 11 15.9 18.91oVEP028T08
q3824 C2020 08 07.53687 01 32 28.629+34 15 45.14 21.1 iUEP028F51
q3824 C2020 08 07.54936 01 32 30.421+34 16 04.56 21.3 iUEP028F51
q3824 C2020 08 07.56183 01 32 32.222+34 16 24.41 21.0 iUEP028F51
A. U. Tomatic (C) Copyright 2020 MPC M.P.E.C. 2020-P28
Read MPEC 2020-P27
Read MPEC 2020-P29
Enter an MPEC number in one of the following forms:
- 1997-B01 (the full form)
- J97B01 (the packed version of the full form)
- B01 (the abbreviated form)