Nakano Note (Nakano wa Kangaeru noda) NK 2028 P/2010 WK = 2010 PB57 (LINEAR)
The following improved orbital elements, by S. Nakano, are from 147 observations 2010 Aug. 10 to 2011 Jan. 7. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.51 arc second. The identification was found by Nakano. PK10W00K* C2010 08 10.39212 03 00 06.58 +18 08 31.3 K10P57B o~0Lsw691 PK10W00K C2010 08 10.41073 03 00 08.81 +18 08 48.4 K10P57B o~0Lsw691 PK10W00K C2010 08 10.42934 03 00 11.01 +18 09 05.5 K10P57B o~0Lsw691 PK10W00K S2010 08 11.08834 03 01 29.83 +18 19 17.5 K10P57B 20 RL~0M7kC51 PK10W00K s2010 08 11.08834 3 + 4266.0237 + 4922.4394 + 2296.9094 ~0M7kC51 PK10W00K S2010 08 11.22064 03 01 45.24 +18 21 17.9 K10P57B L~0M7kC51 PK10W00K s2010 08 11.22064 3 + 4255.6267 + 4932.5306 + 2294.6472 ~0M7kC51 PK10W00K S2010 08 11.48525 03 02 17.01 +18 25 24.2 K10P57B L~0M7kC51 PK10W00K s2010 08 11.48525 3 + 4234.8589 + 4952.4135 + 2289.8706 ~0M7kC51 PK10W00K S2010 08 11.61755 03 02 32.85 +18 27 27.9 K10P57B L~0M7kC51 PK10W00K s2010 08 11.61755 3 + 4224.5056 + 4962.4645 + 2287.3395 ~0M7kC51 PK10W00K S2010 08 11.88216 03 03 04.43 +18 31 32.7 K10P57B L~0M7kC51 PK10W00K s2010 08 11.88216 3 + 4204.0639 + 4982.6190 + 2280.6453 ~0M7kC51 PK10W00K S2010 08 12.08055 03 03 27.71 +18 34 35.0 K10P57B L~0M7kC51 PK10W00K s2010 08 12.08055 3 + 4174.8463 + 4990.9603 + 2316.7187 ~0M7kC51 PK10W00K S2010 08 12.14664 03 03 36.09 +18 35 35.5 K10P57B L~0M7kC51 PK10W00K s2010 08 12.14664 3 + 4156.1245 + 4988.8557 + 2354.5345 ~0M7kC51 PK10W00K S2010 08 12.14677 03 03 36.06 +18 35 37.7 K10P57B L~0M7kC51 PK10W00K s2010 08 12.14677 3 + 4182.8367 + 5002.8846 + 2276.5862 ~0M7kC51 PK10W00K S2010 08 12.21285 03 03 43.87 +18 36 37.6 K10P57B L~0M7kC51 PK10W00K s2010 08 12.21285 3 + 4164.3696 + 5000.9279 + 2314.2135 ~0M7kC51 PK10W00K S2010 08 12.34516 03 03 59.71 +18 38 42.2 K10P57B L~0M7kC51 PK10W00K s2010 08 12.34516 3 + 4154.0275 + 5010.8051 + 2310.9268 ~0M7kC51 PK10W00K C2010 08 12.43088 03 04 10.28 +18 39 59.7 K10P57B 20.2 Vo~0Lsw691 PK10W00K C2010 08 12.44949 03 04 12.45 +18 40 16.6 K10P57B 21.1 Vo~0Lsw691 PK10W00K C2010 08 12.46810 03 04 14.66 +18 40 34.4 K10P57B 20.3 Vo~0Lsw691 PK10W00K S2010 08 12.47746 03 04 15.60 +18 40 44.9 K10P57B L~0M7kC51 PK10W00K s2010 08 12.47746 3 + 4143.5276 + 5020.5774 + 2308.7183 ~0M7kC51 PK10W00K S2010 08 12.87425 03 05 03.08 +18 46 51.0 K10P57B L~0M7kC51 PK10W00K s2010 08 12.87425 3 + 4086.6253 + 5036.2279 + 2374.2200 ~0M7kC51 Epoch = 2010 Oct. 11.0 TT T = 2010 Oct. 19.74431 +/- 0.00168 (m.e.) TT Peri. = 40.84445 +/- 0.00094 Node = 11.48783 +/- 0.00020 (2000.0) Inc. = 11.47917 +/- 0.00010 q = 1.7651485 +/- 0.0000066 AU e = 0.6920783 +/- 0.0000155 a = 5.7324600 +/- 0.0000505 AU n' = 0.07181126 +/- 0.00000095 P = 13.725 +/- 0.0001815 years (+/- 0.07 day) The predicted orbit for the 2024 return is as follows: T = 2024 July 21.45244 TT Epoch = 2024 July 29.0 TT Peri. = 41.00285 e = 0.6909818 Node = 11.32425 (2000.0) a = 5.7674934 AU Inc. = 11.40087 n'= 0.07115795 q = 1.7822604 AU P = 13.851 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2010/ 101215 160 0.2+ 0.4- 101229 900 0.1+ 0.2+ 100810 691 0.0 0.5+ 101215 160 0.1+ 0.3- 101229 235 0.1- 0.0 100810 691 0.4+ 0.3+ 101225 H06 0.9- 0.8+ 101229 235 0.2- 0.1- 100810 691 0.4+ 0.0 101225 H06 0.3- 0.2+ 101229 B59 0.3- 0.4- 100811 C51 (4.7+ 0.5+) 101225 H06 0.2+ 0.0 101229 B59 0.0 0.0 100811 C51 1.1- 1.6- 101225 349 0.1- 0.8- 101229 B59 0.0 0.0 100811 C51 0.8+ 0.4- 101225 349 0.2+ 0.8- 101229 B59 0.1+ 0.1- 100811 C51 1.1+ 0.8+ 101225 349 0.4+ 0.3- 101229 B59 0.2+ 0.0 100811 C51 0.3+ 0.5+ 101226 H06 0.1- 0.1+ 101229 B59 0.2+ 0.0 100812 C51 (6.1- 1.0-) 101226 H06 0.1- 0.1+ 101229 470 0.3- 0.0 100812 C51 0.7+ 1.7- 101226 H06 0.2- 0.1+ 101229 470 0.2+ 0.0 100812 C51 0.1+ 0.3+ 101226 H06 0.1- 0.1+ 101230 118 0.0 0.0 100812 C51 1.3- 1.0- 101226 H06 0.0 0.2- 101230 118 0.2- 0.0 100812 C51 1.0- 1.0+ 101226 H06 0.6+ 0.2- 101230 118 0.2- 0.0 100812 691 0.1- 0.5+ 101226 H15 0.0 0.2+ 101231 355 0.7+ 0.5+ 100812 691 0.4- 0.1+ 101226 H15 0.0 0.1+ 101231 355 0.2+ 0.7- 100812 691 0.2- 0.6+ 101226 H06 0.2- 0.3+ 101231 355 1.1+ 0.5+ 100812 C51 0.1- 1.1+ 101226 H15 0.1- 0.2+ 101231 355 0.7+ 0.4+ 100812 C51 0.1+ 0.6- 101226 204 0.4- 0.1+ 101231 355 0.1+ 0.0 101117 704 0.2+ 0.2+ 101226 204 0.2+ 0.4+ 101231 958 0.0 0.1- 101117 704 0.7+ 1.8- 101226 204 0.1+ 0.2- 101231 958 0.0 0.3- 101117 704 1.3+ 0.1+ 101226 204 0.1- 0.0 2011/ 101117 704 0.8+ 0.1- 101226 204 0.2- 0.1+ 110101 160 0.1- 0.1- 101118 704 0.6+ 0.4- 101227 704 (1.5+ 2.8+) 110101 160 0.2- 0.0 101118 704 0.2+ 0.1- 101227 704 1.3+ 0.8+ 110101 160 0.1- 0.1- 101118 704 0.6+ 0.2+ 101227 H10 0.2- 0.1+ 110101 160 0.2- 0.4- 101118 704 0.0 0.5+ 101227 704 0.6- 0.7+ 110101 587 0.4+ 0.7- 101128 704 0.5- 1.0- 101227 704 1.0- 0.5- 110101 587 0.1- 0.2- 101128 704 0.9- 0.0 101227 H10 0.4+ 1.1- 110101 587 0.1+ 1.0- 101128 704 0.5- 0.2+ 101227 160 0.1- 0.4- 110101 587 0.0 0.1+ 101128 704 0.7- 0.5+ 101227 160 0.1- 0.4- 110101 J24 0.2- 0.7- 101129 704 0.6- 1.1+ 101227 160 0.2- 0.3- 110102 J24 0.4+ 0.4- 101129 704 0.2- 0.8+ 101227 958 1.0+ 0.1+ 110102 J24 0.3+ 0.4- 101129 704 0.2- 0.6+ 101227 958 0.0 0.6- 110102 D95 0.4+ 0.5- 101129 704 0.7- 1.1+ 101227 958 0.5+ 0.5+ 110102 D95 0.1- 0.0 101130 704 1.7+ 0.2+ 101228 D88 0.7+ 1.5+ 110102 D95 0.1- 0.0 101130 704 (0.3- 2.1-) 101228 D88 0.5+ 1.6+ 110102 D95 0.1- 0.2+ 101130 704 1.8- 0.6- 101228 349 0.4+ 0.7+ 110102 213 0.3- 0.0 101130 704 0.6- 0.4+ 101228 349 0.6+ 0.5+ 110102 213 0.0 0.1- 101130 704 0.0 0.3+ 101228 A77 0.1+ 0.4+ 110102 213 0.3- 0.2- 101201 704 0.1- 0.9- 101228 A77 0.0 0.5+ 110103 H45 0.1- 0.1- 101201 704 0.2- 0.7- 101228 157 0.2- 0.2- 110103 H45 0.2- 0.3- 101201 704 0.0 0.1+ 101228 157 0.3- 0.1- 110103 H45 0.2- 0.4- 101201 704 0.6- 0.3- 101228 157 0.2- 0.3- 110103 H45 0.1- 0.4- 101211 160 0.1+ 0.5- 101229 958 0.7- 0.1+ 110103 H45 0.5- 0.2- 101211 160 0.0 0.2- 101229 958 0.1+ 0.5+ 110103 H45 0.4- 0.1- 101211 160 0.0 0.2- 101229 958 0.4+ 0.8+ 110104 372 0.4- 0.3- 101212 160 0.5- 0.1+ 101229 372 0.5- 0.8+ 110104 372 0.2- 0.6+ 101212 160 0.2+ 0.1- 101229 372 0.2+ 0.2+ 110107 D88 0.3- 0.6+ 101212 160 0.5+ 0.3- 101229 372 0.3- 0.0 110107 D88 0.3+ 0.4+ 101215 160 0.4+ 0.4- 101229 900 0.3+ 0.1+ 110107 D88 0.4+ 0.2+ ( ) -------- Rejected Obs.
Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2011 Jan. 8