Nakano Note (Nakano wa Kangaeru noda) NK 1967 P/LINEAR (1999 U3 = 2010 P2)
The following improved orbital elements, by S. Nakano, are from 204 observations 1999 to 2010. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.55 arc second. The correction to the prediction in NK 1461 (= MPC 59600 and HICQ 2009/2010) is delta-T= -0.22 day. RunOff values are +239" for R.A. and -84" for Decl.. Epoch = 2010 July 23.0 TT T = 2010 July 18.30077 +/- 0.00071 (m.e.) TT Peri. = 110.15654 +/- 0.00047 Node = 305.97318 +/- 0.00012 (2000.0) Inc. = 20.88504 +/- 0.00006 q = 1.9214081 +/- 0.0000039 AU e = 0.6109753 +/- 0.0000006 a = 4.9390392 +/- 0.0000026 AU n' = 0.08979256 +/- 0.00000007 P = 10.976 +/- 0.0000085 years T = 1999 Nov. 18.46544 TT Epoch = 1999 Dec. 8.0 TT Peri. = 111.31475 e = 0.6191327 Node = 306.97880 (2000.0) a = 4.8476641 AU Inc. = 20.39444 n'= 0.09234328 q = 1.8463168 AU P = 10.673 years The predicted orbit for the 2021 return is as follows: T = 2021 July 25.79234 TT Epoch = 2021 Aug. 14.0 TT Peri. = 111.42686 e = 0.6099129 Node = 305.48348 (2000.0) a = 4.9156590 AU Inc. = 21.10727 n'= 0.09043394 q = 1.9175350 AU P = 10.899 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1999/ 991103 958 1.6- 0.4+ 991215 360 0.2+ 0.6+ 991030 704 0.8+ 1.0- 991104 402 0.6+ 0.1+ 991215 360 0.3+ 0.3+ 991030 704 0.8+ 0.5+ 991104 402 0.8+ 0.4+ 991216 402 0.2+ 0.4+ 991030 704 (2.2+ 1.8+) 991104 402 0.5+ 0.3+ 991216 402 0.2+ 0.3+ 991030 704 (1.3+ 2.1+) 991104 367 0.3+ 0.3+ 991216 402 0.2- 0.1+ 991031 704 0.1+ 1.6- 991104 897 0.1- 0.1+ 991217 704 0.3- 0.6- 991031 853 0.2+ 0.4+ 991104 367 0.2- 0.2- 991217 704 0.2+ 0.5- 991031 704 0.7+ 0.7+ 991104 367 0.4- 0.2- 991217 704 0.2+ 0.8- 991031 853 0.5+ 0.3+ 991104 367 0.8- 0.4- 991217 704 0.1+ 0.8- 991031 853 0.3+ 0.3+ 991104 360 0.5+ 0.3+ 991217 704 0.6+ 0.4- 991031 853 0.5+ 0.3+ 991104 897 0.5- 0.2- 991221 118 0.2- 0.6+ 991031 704 0.4+ 0.1- 991104 360 0.6+ 0.3+ 991221 118 0.2- 0.0 991031 704 0.6- 0.8+ 991104 355 0.4+ 0.2- 991225 897 0.1+ 0.9+ 991031 557 0.1+ 0.4+ 991104 355 0.6+ 0.3- 991225 897 0.4+ 0.7+ 991031 540 1.0- 0.4- 991104 355 0.6+ 0.3- 991226 355 0.4- 0.3- 991031 540 0.5- 0.4- 991104 372 0.2- 0.4+ 991226 355 0.0 0.5- 991031 540 0.9- 0.7- 991105 349 0.5+ 0.1- 991227 402 0.1- 0.0 991031 557 0.1- 0.1+ 991105 349 0.2- 0.8- 991227 402 0.0 0.1+ 991031 540 0.6- 0.6- 991105 402 0.2- 0.3+ 991227 402 0.0 0.2- 991031 557 0.0 0.0 991105 402 0.0 0.3+ 991229 348 1.2- 1.1+ 991031 540 0.7- 0.8- 991105 402 0.0 0.1+ 991229 348 0.1- 0.6+ 991031 540 0.8- 0.8- 991106 355 0.0 0.9- 2000/ 991031 046 0.2+ 0.4+ 991106 355 0.2- 0.7- 000103 349 0.7+ 0.3- 991031 046 0.3+ 0.3+ 991106 355 0.2+ 0.7- 000103 349 1.3+ 0.1+ 991031 046 0.1+ 0.0 991106 965 0.1- 1.1+ 000103 349 0.2+ 0.3+ 991031 046 0.3+ 0.3+ 991106 965 0.3- 0.9+ 000103 587 0.3- 0.2- 991031 046 0.3+ 0.2+ 991106 965 0.3- 0.6+ 000103 587 0.4- 0.5+ 991031 046 0.2+ 0.4+ 991108 372 1.1- 0.8- 000104 360 0.3+ 0.6+ 991031 046 0.6+ 0.9+ 991110 360 0.2+ 0.7+ 000104 360 0.1- 0.5+ 991031 046 0.4+ 0.2+ 991110 360 0.2- 0.6+ 000104 402 0.4+ 0.5+ 991031 611 0.5- 0.1- 991112 372 1.3- 0.1- 000104 402 0.3+ 0.6+ 991031 611 0.1+ 0.4+ 991113 372 1.5- 0.7+ 000104 402 0.1+ 0.2+ 991031 557 0.1+ 0.1+ 991116 360 0.1+ 0.4+ 000112 113 0.2+ 0.1+ 991031 619 0.1+ 1.0+ 991116 360 0.1+ 0.4+ 000112 113 0.2+ 0.7- 991031 619 0.2- 0.1+ 991118 355 0.0 0.9- 000118 360 0.3- 0.3+ 991031 587 0.2+ 0.1+ 991118 355 0.1+ 0.8- 000118 360 0.4- 0.2+ 991031 587 0.2+ 0.0 991118 355 0.5+ 1.3- 000118 611 0.4+ 0.2- 991031 619 0.4- 0.2+ 991120 372 0.9+ 1.4+ 000118 611 0.2- 0.6- 991031 946 0.0 0.0 991128 355 0.1+ 1.0- 000118 611 0.1+ 1.0- 991031 946 0.6+ 0.3+ 991128 355 0.1+ 0.7- 000121 704 0.2+ 0.3+ 991031 946 0.1- 0.3- 991128 349 0.4- 0.9- 000121 704 0.7+ 0.1- 991101 958 1.5- 1.1- 991128 355 0.1+ 1.1- 000121 704 1.3+ 1.2- 991101 958 0.4- 0.3- 991128 349 0.4+ 0.1+ 000121 349 1.1- 0.7- 991101 958 (2.6- 2.4-) 991128 349 0.7- 0.4+ 000121 349 0.0 0.7- 991101 713 0.1+ 0.4+ 991128 900 0.1- 0.0 000121 349 1.0- 0.6+ 991101 713 0.4+ 0.6+ 991128 900 0.0 0.0 000125 402 0.5- 0.4+ 991101 713 0.2- 0.3- 991130 355 0.2+ 0.3- 000125 402 0.1+ 0.1+ 991101 713 0.1- 0.1- 991130 897 0.2+ 0.0 000125 402 0.4- 0.0 991101 897 0.7- 0.4+ 991130 897 0.3- 0.1+ 000126 900 0.2+ 0.1- 991101 897 0.8- 0.1- 991130 355 0.6+ 0.7- 000126 900 0.3- 1.3+ 991101 897 0.2+ 0.4+ 991130 897 0.0 0.3+ 000128 360 0.1- 0.0 991101 372 1.1+ 1.0+ 991130 355 0.5- 1.1- 000128 360 0.1- 0.0 991101 470 1.0- 1.8- 991203 372 0.3- 0.0 000129 402 0.3+ 0.4- 991101 470 0.5- 0.2+ 991203 402 0.1- 0.4+ 000129 402 0.2- 0.8- 991101 104 0.2- 0.8+ 991203 402 0.0 0.1+ 000129 402 0.1- 0.1+ 991101 104 0.0 0.5+ 991203 360 0.2+ 0.6+ 000204 704 0.7+ 0.7+ 991101 596 0.3+ 0.5- 991203 360 0.3+ 0.7+ 000204 704 0.5+ 0.7+ 991101 596 1.4+ 1.1+ 991206 587 0.1+ 0.6+ 000204 704 0.4- 0.5+ 991101 104 0.3+ 0.7- 991206 587 0.1- 0.8+ 000228 118 0.0 0.4- 991101 104 0.1+ 0.0 991207 355 0.0 0.9- 000228 118 0.3- 0.3- 991102 372 0.5+ 0.4+ 991207 355 0.1- 1.1- 000229 360 0.3- 0.1- 991103 713 0.0 0.3+ 991207 355 0.3+ 1.0- 000229 360 0.1+ 0.1- 991103 713 0.2+ 0.2+ 991207 349 0.5+ 0.6+ 2010/ 991103 713 0.3- 1.3+ 991207 349 1.6+ 0.5- 100812 H06 0.0 0.1- 991103 367 0.2+ 0.7- 991207 349 0.1- 1.0- 100812 H06 0.3+ 0.6+ 991103 367 0.4- 1.1- 991208 118 0.1+ 0.1- 100812 H06 0.3- 0.8+ 991103 367 0.3+ 1.0- 991208 118 0.4+ 0.1- 100813 H06 (0.6- 2.1+) 991103 900 0.1+ 0.3- 991210 118 0.2+ 0.3+ 100813 H06 0.4+ 0.8+ 991103 900 0.4- 0.1+ 991210 118 0.2+ 0.3+ 100813 H06 0.7+ 0.8+ 991103 958 1.3- 0.5- 991211 900 1.0- 0.5+ 100816 349 (0.4- 2.5-) 991103 958 0.6- 0.6- 991211 900 0.1- 0.3- 100816 349 (0.8- 2.3-) ( ) -------- Rejected Obs.
Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Aug. 20