"Pseudo-MPEC" for ZTs0053 = A10Tqgl = A10SMtV
Created 2023 Jul 14 21:58:06 UT using Find_Orb
Click here for an explanation of pseudo-MPECs
Astrometry: A10SMtV C2023 02 15.30983811 23 31.634-02 33 57.60 .50 x15.54oV W68 A10SMtV C2023 02 15.31389811 24 16.759-02 44 58.42 .50 x15.55oV W68 A10SMtV C2023 02 15.32111911 25 37.092-03 04 25.10 .50 x15.54oV W68 A10Tqgl C2023 03 12.31431112 30 56.090-13 46 59.74 .50 x15.93oV W68 A10Tqgl C2023 03 12.31791712 31 28.687-13 53 03.30 .50 x16.06oV W68 A10Tqgl C2023 03 12.32479112 32 31.570-14 04 31.44 .50 x15.97oV W68 A10Tqgl C2023 03 12.33821312 34 36.917-14 26 31.06 .50 x15.99oV W68 ZTs0053* C2023 03 13.31810 12 01 09.18 -13 20 41.9 ~3E0sx16.12gUNEOCPI41 ZTs0053 C2023 03 13.31844 12 01 12.39 -13 21 23.5 ~3E0sx16.12gUNEOCPI41 ZTs0053 C2023 03 13.31903 12 01 17.70 -13 22 32.2 ~3E0sx16.21gUNEOCPI41 ZTs0053 C2023 03 13.31938 12 01 20.88 -13 23 13.5 ~3E0sx16.21gUNEOCPI41 ZTs0053 C2023 03 13.37773412 09 59.406-15 13 36.35 ~3FFgx15.85RUNEOCPI41 ZTs0053 C2023 03 13.37808112 10 02.594-15 14 16.35 ~3FFgx15.85RUNEOCPI41 C3MCGW1* C2023 03 26.29916112 14 02.140-16 05 23.80 .50 x15.78GVNEOCP703 C3MCGW1 C2023 03 26.30439312 14 48.840-16 14 09.10 .50 x15.81GVNEOCP703 C3MCGW1 C2023 03 26.30962812 15 35.170-16 22 47.80 .50 x VNEOCP703 C3MCGW1 C2023 03 26.31486512 16 21.370-16 31 20.20 .50 x VNEOCP703 C3MCGW1 KC2023 03 26.34431212 20 38.008-17 17 13.31 .50 x15.79GV! I52 C3MCGW1 KC2023 03 26.34478312 20 42.058-17 17 55.32 .50 x15.96GV! I52 C3MCGW1 KC2023 03 26.34525412 20 46.129-17 18 37.58 .50 x15.97GV! I52 C3MCGW1 KC2023 03 26.34572512 20 50.179-17 19 19.63 .50 x15.97GV! I52 C3MCGW1 KC2023 03 26.38978812 27 11.776-18 21 25.02 .50 x15.93GV! I52 C3MCGW1 KC2023 03 26.39023912 27 15.700-18 22 00.73 .50 x15.98GV! I52 C3MCGW1 KC2023 03 26.39069312 27 19.692-18 22 37.06 .50 x15.98GV! I52 C3MCGW1 KC2023 03 26.39114312 27 23.656-18 23 12.73 .50 x15.91GV! I52 A10UfCp C2023 03 29.89569312 35 15.612-13 21 20.99 .50 x15.24oV! M22 A10UfCp C2023 03 29.89754112 35 31.519-13 24 38.27 .50 x15.03oV! M22 A10UfCp C2023 03 29.91548112 38 02.129-13 55 31.91 .50 x15.33oV! M22 A10UfCp C2023 03 29.91887512 38 30.228-14 01 13.87 .50 x15.33oV! M22 A10Umiw C2023 03 31.09979812 46 52.133-14 12 47.23 .50 x15.35oV! W68 A10Umiw C2023 03 31.10172612 47 09.710-14 16 11.46 .50 x15.17oV! W68 A10Umiw C2023 03 31.10451212 47 34.997-14 21 04.82 .50 x15.31oV! W68 A10Umiw C2023 03 31.10960912 48 20.820-14 29 58.02 .50 x15.36oV! W68 A10UAvJ C2023 04 11.04700513 58 42.036-22 11 38.80 .50 x15.76oV! M22 A10UAvJ C2023 04 11.05046313 59 20.842-22 14 18.96 .50 x15.70oV! M22 A10UAvJ C2023 04 11.05577214 00 21.046-22 18 18.83 .50 x15.61oV! M22 A10UAvJ C2023 04 11.06870614 02 52.913-22 27 40.93 .50 x15.73oV! M22 A10UAvJ C2023 04 11.07354614 03 51.305-22 31 01.13 .50 x16.07oV! M22 A10V5sy C2023 04 24.19302315 25 38.033-24 42 03.96 ~4RIcx15.60cV! W68 A10V5sy C2023 04 24.19641115 26 49.214-24 44 10.36 ~4RIcx15.67cV! W68 A10V5sy C2023 04 24.20695615 30 37.954-24 50 16.51 ~4RIcx15.53cV! W68 A10V5sy C2023 04 24.20969015 31 39.245-24 51 44.78 ~4RIcx15.48cV! W68 A10V5sy C2023 04 24.21195315 32 30.422-24 52 55.20 ~4RIcx15.63cV! W68 A10V5sy C2023 04 24.21285515 32 51.077-24 53 23.06 ~4RIcx15.45cV! W68 A10Vdfv C2023 04 30.86742713 37 20.232-20 24 52.49 ~52CNx15.30oV! M22 A10Vdfv C2023 04 30.87020013 37 45.386-20 27 38.88 ~52CNx15.46oV! M22 A10Vdfv C2023 04 30.87296713 38 10.490-20 30 23.33 ~52CNx15.30oV! M22 A10Vowp C2023 05 09.20990713 58 28.550-22 15 59.36 ~5AGnx15.79oV! W68 A10Vowp C2023 05 09.21270813 58 55.831-22 17 14.10 ~5AGnx15.73oV! W68 A10Vowp C2023 05 09.21594613 59 27.530-22 18 37.91 ~5AGnx15.79oV! W68 A10Vowp C2023 05 09.22157814 00 22.968-22 20 57.95 ~5AGnx15.87oV! W68 A10Vowp C2023 05 09.22476514 00 54.646-22 22 13.62 ~5AGnx15.80oV! W68 A10Vowp C2023 05 09.23535414 02 40.510-22 26 05.82 ~5AGnx15.88oV! W68 A10VriK C2023 05 10.15062112 56 41.458-18 41 16.37 ~5DGtx15.92oV! W68 A10VriK C2023 05 10.15711812 58 09.254-18 49 23.30 ~5DGtx15.80oV! W68 A10VriK C2023 05 10.16033812 58 52.279-18 53 16.33 ~5DGtx15.79oV! W68 A10VriK C2023 05 10.16618413 00 10.001-19 00 07.24 ~5DGtx15.90oV! W68 A10VriK C2023 05 10.18023113 03 14.177-19 15 28.87 ~5DGtx15.92oV! W68 A10VAC0 C2023 05 19.90304114 36 26.746-23 19 38.39 ~5M30 15.68cV! M22 A10VAC0 C2023 05 19.90820514 37 21.151-23 21 11.81 ~5M30 15.68cV! M22 A10VAC0 C2023 05 19.91239914 38 05.446-23 22 22.30 ~5M30 15.63cV! M22 A10VAC0 C2023 05 19.92252514 39 53.172-23 24 52.38 ~5M30 16.05cV! M22 A10VCAG C2023 05 21.16376015 00 40.392-23 51 54.72 ~5NID 15.26oV! W68 A10VCAG C2023 05 21.16691415 01 16.128-23 52 24.13 ~5NID 15.27oV! W68 A10VCAG C2023 05 21.17381015 02 34.637-23 53 18.28 ~5NID 15.21oV! W68 A10VCAG C2023 05 21.18441515 04 36.804-23 54 13.82 ~5NID 15.22oV! W68 A10VLp2 C2023 06 24.88220716 19 11.395-22 41 40.16 .50 15.44oV M22 A10VLp2 C2023 06 24.88497116 19 55.973-22 39 43.16 .50 15.48oV M22 A10VLp2 C2023 06 24.89003016 21 17.818-22 36 00.94 .50 15.36oV M22 A10VTTD* C2023 07 12/`LTn,k`OhYTET=MVx0Q5;tN[fRuG
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M22 A10VWqZ* C2023 07 14cyY_-n+yQ6B@$DI`7O1TfkVR%L@T/cqbv0oj;ouQ72o:5UQ@`*fp
W68 A10VWqZ C2023 07 14\kBVy,?Jno49*355$+GME\\Q#k^iaA4]QgiK78@%VZ/ioEGFty]V
W68 A10VWqZ C2023 07 14*73uvV\qD@HecsV!n\WNkwj!Q7uPt,51s0a*GX(A[n*.J`,qPRL'
W68 A10VWqZ C2023 07 14vMXg#/;/D'\.h@UGIv\q[jAAm(8w4d%dl]RoFmXDt:Sc5bd89F/t
W68 Station data: (703) Catalina Sky Survey (N32.417003 W110.732640) US/Arizona. Observer R. A. Kowalski. Measurers E. J. Christensen, D. Fay, J. B. Fazekas, D. C. Fuls, A. R. Gibbs, A. D. Grauer, H. Gröller, J. K. Hogan, R. A. Kowalski, S. M. Larson, G. J. Leonard, D. Rankin, R. L. Seaman, A. Serrano, F. C. Shelly, K. W. Wierzchoś. 0.68-m Schmidt + 10K CCD. (I41) Palomar Mountain--ZTF (N33.357338 W116.859780) US/California. Observers B. T. Bolin, Z. T. F. Collaboration. Measurers B. T. Bolin, Z.-Y. Lin, F. J. Masci. 1.2-m f/2.4 Schmidt. (I52) Steward Observatory, Mt. Lemmon Station (N32.442544 W110.788920) US/Arizona. Observers T. A. Pruyne, B. M. Africano, E. J. Christensen, G. A. Farneth, D. C. Fuls, A. R. Gibbs, A. D. Grauer, H. Gröller, J. A. Johnson, R. A. Kowalski, S. M. Larson, G. J. Leonard, D. Rankin, R. L. Seaman, F. C. Shelly, K. W. Wierzchoś. 1.0-m prime focus + CCD. (M22) ATLAS South Africa, Sutherland (S32.380156 E20.810590) South Africa. Observers L. Denneau, R. Siverd, J. Tonry, H. Weiland. Measurers L. Denneau, N. Erasmus, A. Fitzsimmons, A. Lawrence, J. Robinson, R. Siverd, J. Tonry, H. Weiland. 0.5-m reflector + CCD. (W68) ATLAS Chile, Rio Hurtado (S30.471010 W70.764980) Chile. Observers L. Denneau, R. Siverd, J. Tonry, H. Weiland. Measurers L. Denneau, N. Erasmus, A. Fitzsimmons, A. Lawrence, J. Robinson, R. Siverd, J. Tonry, H. Weiland. 0.5-m reflector + CCD. Orbital elements: ZTs0053 = A10Tqgl = A10SMtV Perigee 2023 Jul 13.5422639 +/- 0.00464 TT = 13:00:51.59 (JD 2460139.0422639) Epoch 2023 Jul 14.0 TT; AMR 45.071 +/- 0.656 m2/kg Find_Orb M 136.2440577219 +/- 1.3 (J2000 equator) n 297.6475957005 +/- 0.0144 Peri. 102.3615270 +/- 0.38 a 47951.469433 +/- 1.55 Node 321.2120161 +/- 0.07 e 0.603003431 +/- 0.00279 Incl. 24.1380978 +/- 0.009 P1741.62m/1.209d H 31.39 G 0.15 U 9.9 q 19036.568831 +/- 133 Q 76866.370035 +/- 136 20 of 78 observations 2023 May 19-July 14; mean residual 58".098
Residuals in arcseconds: 230215 W68(342'+ 8663-) 230329 M22(4581+ 216+) 230509 W68( 904+ 222+) 230215 W68(341'+ 8625-) 230329 M22(4564+ 175+) 230510 W68( 863+ 926+) 230215 W68(339'+ 8562-) 230329 M22(4561+ 166+) 230510 W68( 850+ 908+) 230312 W68(7000+ 1235-) 230331 W68(4341+ 238+) 230510 W68( 842+ 899+) 230312 W68(7001+ 1251-) 230331 W68(4342+ 234+) 230510 W68( 830+ 883+) 230312 W68(7007+ 1283-) 230331 W68(4343+ 228+) 230510 W68( 802+ 844+) 230312 W68(7018+ 1346-) 230331 W68(4345+ 215+) 230519 M22 76.1- 114+ 230313 I41(6915+ 456-) 230411 M22(4077+ 666-) 230519 M22 66.1- 102+ 230313 I41(6915+ 458-) 230411 M22(4099+ 684-) 230519 M22 58.3- 91.4+ 230313 I41(6911+ 458-) 230411 M22(4129+ 710-) 230519 M22 37.4- 66.4+ 230313 I41(6909+ 458-) 230411 M22(4212+ 776-) 230521 W68 20.2+ 86.1- 230313 I41(6720+ 657-) 230411 M22(4240+ 799-) 230521 W68 29.0+ 93.6- 230313 I41(6722+ 661-) 230424 W68(4835+ 865-) 230521 W68 47.1+ 110- 230326 703(5124+ 336+) 230424 W68(4904+ 881-) 230521 W68 75.2+ 136- 230326 703(5105+ 319+) 230424 W68(5137+ 927-) 230624 M22 10.7+ 24.1+ 230326 703(5084+ 302+) 230424 W68(5202+ 939-) 230624 M22 21.9+ 26.2+ 230326 703(5066+ 283+) 230424 W68(5255+ 949-) 230624 M22 40.8+ 30.2+ 230326 I52(4968+ 179+) 230424 W68(5278+ 953-) 230712 M22 21.2- 49.5- 230326 I52(4966+ 178+) 230430 M22(1551+ 512+) 230712 M22 17.0- 43.4- 230326 I52(4965+ 176+) 230430 M22(1553+ 504+) 230712 M22 14.4- 34.7- 230326 I52(4963+ 174+) 230430 M22(1555+ 496+) 230712 M22 6.20- 16.7- 230326 I52(4843+ .232-) 230509 W68( 874+ 294+) 230712 M22 21.7+ 25.5+ 230326 I52(4842+ 1.81-) 230509 W68( 876+ 286+) 230714 W68 26.1+ 16.7+ 230326 I52(4841+ 3.82-) 230509 W68( 880+ 277+) 230714 W68 30.9+ 23.6+ 230326 I52(4840+ 5.51-) 230509 W68( 887+ 261+) 230714 W68 41.0+ 37.0+ 230329 M22(4581+ 221+) 230509 W68( 892+ 252+) 230714 W68 70.0+ 72.7+ Ephemerides (geocentric): Date (UTC) HH RA Dec delta r elong mag " sig PA ---- -------- ------------ ------------ ------ ------ ----- --- -------- 2023 07 14 22 12 07 54.153 -16 15 25.42 44144 1.0165 76.9 17.6 5016 109 2023 07 14 23 12 49 03.989 -19 09 58.82 50425 1.0165 87.0 17.4 3460 106 2023 07 15 00 13 22 31.766 -21 03 09.22 55913 1.0166 94.9 17.3 2503 104 2023 07 15 01 13 50 57.107 -22 18 18.00 60657 1.0166 101.5 17.2 1872 101 2023 07 15 02 14 15 53.514 -23 08 08.52 64709 1.0167 107.2 17.1 1436 99 2023 07 15 03 14 38 20.396 -23 40 04.25 68114 1.0167 112.3 17.1 1124 97 2023 07 15 04 14 58 58.059 -23 58 35.50 70910 1.0167 116.9 17.0 896 95 2023 07 15 05 15 18 15.431 -24 06 32.01 73126 1.0168 121.2 17.0 730 94 2023 07 15 06 15 36 34.390 -24 05 41.25 74784 1.0168 125.2 16.9 610 92 2023 07 15 07 15 54 12.356 -23 57 09.35 75901 1.0168 129.1 16.8 527 89 2023 07 15 08 16 11 23.974 -23 41 32.90 76487 1.0169 132.9 16.7 477 87 2023 07 15 09 16 28 22.288 -23 19 05.24 76550 1.0169 136.7 16.6 457 85 2023 07 15 10 16 45 19.666 -22 49 39.32 76088 1.0169 140.5 16.5 465 82 2023 07 15 11 17 02 28.628 -22 12 47.72 75100 1.0169 144.3 16.4 504 80 2023 07 15 12 17 20 02.713 -21 27 40.20 73575 1.0169 148.2 16.2 577 77 2023 07 15 13 17 38 17.543 -20 32 57.96 71500 1.0169 152.3 16.1 692 75 2023 07 15 14 17 57 32.289 -19 26 43.36 68855 1.0169 156.6 15.8 860 73 2023 07 15 15 18 18 11.928 -18 06 02.23 65614 1.0169 161.1 15.6 1099 72 2023 07 15 16 18 40 50.978 -16 26 33.05 61743 1.0169 165.6 15.3 1441 70 2023 07 15 17 19 06 20.218 -14 21 31.47 57200 1.0169 169.6 15.0 1941 69 2023 07 15 18 19 35 59.804 -11 40 05.61 51938 1.0168 170.1 14.8 2697 67 2023 07 15 19 20 12 07.575 -08 03 48.69 45911 1.0168 164.2 14.7 3909 66 2023 07 15 20 20 59 08.172 -02 59 39.71 39103 1.0167 153.0 14.7 6014 65 2023 07 15 21 22 06 49.158 +04 31 42.47 31639 1.0166 135.3 14.8 168' 66 2023 07 15 22 00 00 39.941 +15 36 24.77 24234 1.0165 105.8 15.1 307' 71 2023 07 15 23 03 32 28.087 +24 04 43.97 19626 1.0164 56.4 17?? 504' 91 2023 07 16 00 07 27 43.089 +12 26 10.73 21872 1.0163 9.4 29?? 430' 111 2023 07 16 01 09 45 00.659 -02 07 44.97 28700 1.0163 38.8 19?? 243' 114 2023 07 16 02 11 06 36.361 -10 45 59.54 36280 1.0164 60.2 18.2 8514 112 2023 07 16 03 12 02 44.664 -15 46 53.74 43357 1.0164 74.5 17.6 5457 109 2023 07 16 04 12 45 22.022 -18 52 19.44 49668 1.0164 84.9 17.4 3754 107 2023 07 16 05 13 19 52.625 -20 52 04.86 55199 1.0165 93.1 17.3 2712 104 2023 07 16 06 13 49 05.888 -22 11 20.70 59989 1.0165 99.9 17.2 2029 102 2023 07 16 07 14 14 40.472 -23 03 47.82 64089 1.0166 105.8 17.2 1557 99 2023 07 16 08 14 37 38.769 -23 37 21.68 67541 1.0166 110.9 17.1 1220 97 2023 07 16 09 14 58 42.927 -23 56 51.34 70384 1.0167 115.7 17.1 974 96 2023 07 16 10 15 18 23.080 -24 05 18.10 72647 1.0167 120.0 17.0 795 94 2023 07 16 11 15 37 01.919 -24 04 36.84 74352 1.0167 124.2 16.9 665 92 2023 07 16 12 15 54 57.433 -23 55 58.59 75516 1.0168 128.1 16.9 574 89 2023 07 16 13 16 12 24.667 -23 40 03.29 76150 1.0168 132.0 16.8 518 87 2023 07 16 14 16 29 36.947 -23 17 06.65 76262 1.0168 135.8 16.7 493 85 2023 07 16 15 16 46 46.830 -22 47 03.33 75851 1.0168 139.6 16.5 499 82 2023 07 16 16 17 04 06.939 -22 09 27.35 74915 1.0169 143.5 16.4 535 80 2023 07 16 17 17 21 50.839 -21 23 29.74 73445 1.0169 147.5 16.2 607 77 2023 07 16 18 17 40 14.084 -20 27 53.14 71429 1.0169 151.6 16.1 722 75 2023 07 16 19 17 59 35.647 -19 20 41.93 68847 1.0169 155.9 15.9 890 73 2023 07 16 20 18 20 20.106 -17 59 05.24 65674 1.0169 160.4 15.6 1131 72 2023 07 16 21 18 43 01.239 -16 18 47.48 61878 1.0168 165.1 15.3 1474 70 2023 07 16 22 19 08 28.428 -14 13 15.84 57420 1.0168 169.2 15.0 1975 69 2023 07 16 23 19 37 59.058 -11 32 02.23 52256 1.0168 170.1 14.8 2729 67 2023 07 17 00 20 13 44.954 -07 57 32.25 46342 1.0167 164.7 14.7 3928 66 2023 07 17 01 20 59 55.875 -02 58 47.34 39665 1.0167 153.8 14.7 5984 65 2023 07 17 02 22 05 35.475 +04 18 52.49 32341 1.0166 136.8 14.8 9870 66 2023 07 17 03 23 53 42.193 +14 57 49.64 25010 1.0165 108.7 15.0 296' 71 2023 07 17 04 03 12 45.064 +24 01 40.07 20098 1.0164 61.9 16.8 493' 88 2023 07 17 05 07 09 00.097 +14 09 53.87 21618 1.0163 10.9 28?? 454' 110 2023 07 17 06 09 33 21.557 -00 45 08.41 28049 1.0163 34.6 20?? 265' 114 2023 07 17 07 10 58 53.894 -09 55 41.96 35516 1.0163 57.1 18?? 9279 113 2023 07 17 08 11 57 19.978 -15 16 18.79 42582 1.0163 72.0 17.7 5928 110 2023 07 17 09 12 41 27.850 -18 33 18.75 48919 1.0164 82.8 17.5 4068 107 2023 07 17 10 13 17 03.378 -20 40 06.24 54487 1.0164 91.3 17.4 2935 104 2023 07 17 11 13 47 06.144 -22 03 46.86 59321 1.0165 98.3 17.3 2195 102 2023 07 17 12 14 13 20.162 -22 59 02.49 63465 1.0165 104.3 17.2 1685 100 2023 07 17 13 14 36 50.909 -23 34 22.62 66963 1.0166 109.6 17.1 1322 98 2023 07 17 14 14 58 22.442 -23 54 56.33 69852 1.0166 114.4 17.1 1057 96 2023 07 17 15 15 18 26.136 -24 03 57.25 72160 1.0166 118.9 17.0 863 94 2023 07 17 16 15 37 25.527 -24 03 28.13 73911 1.0167 123.1 16.9 722 92 2023 07 17 17 15 55 39.196 -23 54 45.25 75121 1.0167 127.1 16.9 624 89 2023 07 17 18 16 13 22.603 -23 38 32.09 75803 1.0167 131.1 16.8 562 87 2023 07 17 19 16 30 49.369 -23 15 06.87 75962 1.0168 134.9 16.7 532 85 2023 07 17 20 16 48 12.249 -22 44 26.11 75601 1.0168 138.8 16.6 534 82 2023 07 17 21 17 05 43.987 -22 06 05.27 74716 1.0168 142.7 16.4 568 80 2023 07 17 22 17 23 38.186 -21 19 16.68 73301 1.0168 146.7 16.3 639 77 2023 07 17 23 17 42 10.347 -20 22 44.43 71342 1.0168 150.9 16.1 753 75 2023 07 18 00 18 01 39.269 -19 14 34.85 68822 1.0168 155.2 15.9 922 73 2023 07 18 01 18 22 29.168 -17 52 00.21 65716 1.0168 159.8 15.6 1163 72 2023 07 18 02 18 45 13.139 -16 10 50.53 61994 1.0168 164.5 15.4 1509 70 2023 07 18 03 19 10 39.273 -14 04 43.83 57620 1.0168 168.7 15.0 2010 69 2023 07 18 04 19 40 02.410 -11 23 34.19 52551 1.0167 170.1 14.8 2763 67 2023 07 18 05 20 15 28.882 -07 50 35.57 46747 1.0167 165.1 14.7 3950 66 RA/decs are astrometric J2000 coordinates (corrected for light time lag, but in the inertial J2000 frame, i.e., not rotated for precession or nutation, and differential light deflection is not included.) Display can be turned on/off in the 'advanced options' for ephemerides. When turning them on, you can select from various format choices (base-60, decimal, different precisions, etc.) Distances are in kilometers for distances under one million km (about 0.00668 AU), and in AUs for larger distances. Uncertainties are one-sigma values shown in arcseconds (unless they are very large, in which case they are shown in arcminutes or degrees). In theory, the object should be within this distance of the nominal RA/dec 67% of the time, within twice that distance 95% of the time, and within three times that distance 99.7% of the time. In practice, astrometric errors are not actually Gaussian, which means these uncertainties are sometimes over- or underestimated. So you may have to look farther, or not nearly as far, as the uncertainties say. The object will probably be offset from nominal somewhere along the indicated position angle, especially if the orbit is well determined.