Nakano Note (Nakano wa Kangaeru noda) NK 2498 P/LINEAR (2003 U2 = 2013 K2)

The following improved orbital elements, by S. Nakano, are from 123 observations 2003 to 2013. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.77 arc second. Recovered by Hidetaka Sato, Tokyo. Recovery observations show the residual of +0.52 deg for R. A. and -0.03 deg for Decl. from the prediction in NK 1907 (= HICQ 2012) with the delta-T correction = -1.27 day. See the previous orbits in NK 1029 and NK 1907. Epoch = 2013 July 7.0 TT T = 2013 June 28.85318 +/- 0.00127 (m.e.) TT Peri. = 177.46597 +/- 0.00066 Node = 186.38845 +/- 0.00019 (2000.0) Inc. = 24.60182 +/- 0.00013 q = 1.6907612 +/- 0.0000061 AU e = 0.6235600 +/- 0.0000014 a = 4.4914490 +/- 0.0000052 AU n' = 0.10354386 +/- 0.00000018 P = 9.519 +/- 0.0000164 years T = 2003 Dec. 4.88056 TT Epoch = 2003 Nov. 17.0 TT Peri. = 177.32222 e = 0.6212920 Node = 186.45797 (2000.0) a = 4.5165544 AU Inc. = 24.49110 n'= 0.10268174 q = 1.7104551 AU P = 9.599 years The predicted orbit for the 2023 return is as follows: T = 2023 Jan. 12.35187 TT Epoch = 2023 Jan. 16.0 TT Peri. = 178.42691 e = 0.6188556 Node = 185.50773 (2000.0) a = 4.5108028 AU Inc. = 25.03804 n'= 0.10287819 q = 1.7192671 AU P = 9.580 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2003/ 031022 104 0.2- 1.0+ 031103 213 1.1+ 0.5- 030919 704 0.3+ 0.5- 031022 104 0.2+ 1.2- 031103 213 0.8+ 0.3- 030919 704 0.6+ 0.3+ 031022 104 (6.6- 3.1+) 031103 213 1.2+ 1.9- 030919 704 1.3+ 0.3- 031023 850 0.5- 0.3- 031110 104 0.4- 0.8+ 031002 704 1.3- 0.7- 031023 704 1.6- 0.2+ 031110 104 1.3- 0.4+ 031002 704 (2.1- 0.9+) 031023 704 0.6- 0.2+ 031110 104 0.2- 0.3+ 031002 704 0.0 0.8+ 031023 850 0.6+ 0.1- 031110 104 0.8- 0.1+ 031002 704 1.2- 0.5- 031023 704 0.3+ 0.3- 031116 360 0.6- 0.3- 031002 704 1.7+ 0.3- 031023 704 0.7- 0.3+ 031116 360 0.5- 0.5- 031019 704 0.4- 0.6+ 031023 850 0.7+ 0.5- 031116 360 1.1- 0.3- 031019 704 (1.6- 3.4-) 031024 H41 0.5+ 1.4- 031120 704 0.2- 0.3+ 031019 704 (0.5+ 2.7-) 031024 H41 0.4- 0.1- 031120 704 1.2+ 0.8+ 031019 704 0.8+ 1.2- 031024 H41 1.5- 1.3- 031120 704 0.0 0.4+ 031019 704 (1.1- 2.0-) 031024 H41 1.0+ 0.3- 031120 704 0.4+ 0.8+ 031020 704 0.4+ 0.2+ 031024 850 1.5- 0.3+ 031121 704 0.1- 0.4- 031020 704 (3.8- 0.1-) 031024 704 0.7- 0.4+ 031121 704 0.8- 0.2- 031020 704 (3.7+ 1.4-) 031024 H41 0.6+ 0.3- 031121 704 0.5+ 0.6+ 031020 704 0.1+ 0.4+ 031024 704 1.5+ 0.4+ 031121 704 0.8- 0.2+ 031021 704 1.0- 0.4+ 031024 850 1.9+ 0.3- 031121 704 1.9+ 1.6+ 031021 704 0.2+ 1.2+ 031024 704 0.8+ 0.8+ 031123 704 0.6+ 0.6+ 031021 704 0.1+ 0.3+ 031024 850 1.2+ 0.9+ 031123 704 1.0+ 1.3+ 031021 704 0.8+ 0.2- 031024 704 0.7+ 0.2+ 031123 699 1.6+ 0.5+ 031021 704 0.4- 0.0 031024 704 1.2- 0.9+ 031123 704 0.1- 0.9- 031021 704 0.1+ 0.5+ 031024 360 0.8- 0.1- 031123 699 (4.2+ 2.1+) 031021 926 (2.2- 0.6+) 031024 360 0.5- 0.0 031123 704 0.7+ 1.0- 031021 673 1.8- 0.1+ 031024 360 0.5- 0.2- 031123 699 (2.5+ 0.2+) 031021 926 1.0- 0.1+ 031025 850 (2.5+ 2.4+) 031123 704 (2.5+ 2.2+) 031021 926 0.0 0.5- 031025 850 0.2- 0.8+ 031123 699 1.3+ 0.0 031021 704 1.9+ 0.9+ 031025 850 0.2- 0.0 031213 620 0.0 0.2- 031021 649 0.1+ 0.6- 031025 850 1.7+ 0.2+ 031213 620 0.1- 1.4- 031021 673 1.8- 0.1+ 031025 204 0.3- 0.5- 031215 620 0.1- 0.5- 031021 704 0.2- 0.3+ 031025 204 0.1- 0.0 2004/ 031021 649 0.1+ 0.4- 031025 204 0.3- 0.1+ 040105 204 1.9- 0.9- 031021 673 1.6- 0.2+ 031025 204 0.0 0.0 2013/ 031021 673 1.7- 0.1- 031025 204 0.1+ 0.4+ 130508 H06 0.8+ 0.2- 031021 673 0.7- 0.5- 031025 204 1.5+ 0.8- 130508 H06 0.5+ 0.4+ 031021 649 0.3+ 0.5- 031025 204 1.7+ 0.0 130518 H06 1.8- 0.3+ 031021 673 1.5- 0.2+ 031028 246 0.2- 0.1- 130518 H06 (2.7- 0.6+) 031022 704 0.2- 0.1- 031028 246 0.1+ 0.0 130519 H06 0.1+ 0.5- 031022 704 0.6- 0.7+ 031028 246 0.2+ 0.2+ 130519 H06 0.3+ 0.5- 031022 704 0.3+ 1.1- 031028 246 0.4- 0.1+ 130519 H06 0.7+ 0.7- 031022 704 0.7+ 0.2- 031028 561 (2.5- 0.5+) 130521 H06 0.1- 1.8+ 031022 704 0.4- 0.2- 031028 561 0.9- 0.3+ 130521 H06 0.4- 1.4+ 031022 704 0.9+ 0.1- 031028 561 1.2+ 0.1+ 130523 I47 0.1- 1.0+ 031022 704 1.0+ 0.1- 031029 360 0.0 0.5- 130523 I47 0.4- 0.6+ 031022 704 0.0 0.2+ 031029 360 0.6- 0.2- 130523 I47 0.7+ 0.3- 031022 704 0.7- 0.1- 031029 360 1.1- 0.4- ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2013 May 31

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