Nakano Note (Nakano wa Kangaeru noda) NK 1752 206P/Barnard-Boattini

The following improved orbital elements, by S. Nakano, are from 301 observations 1892 to 2009. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The weighting mean residual is +/- 0.61 arc second. See orbits in NK 858, NK 1685 (= YC 2599) and NK 1693 (= HICQ 2008/ 2009). Epoch = 2008 Oct. 21.0 TT T = 2008 Oct. 25.09296 +/- 0.00005 (m.e.) TT Peri. = 181.42551 +/- 0.00005 Node = 204.13534 +/- 0.00001 (2000.0) Inc. = 32.92882 +/- 0.00002 q = 1.1451860 +/- 0.0000002 AU e = 0.6464607 +/- 0.0000006 a = 3.2392039 +/- 0.0000017 AU n' = 0.16906225 +/- 0.00000013 P = 5.830 +/- 0.0000045 years T = 1892 Dec. 11.21003 TT Epoch = 1892 Dec. 8.0 TT Peri. = 170.03673 e = 0.5885797 Node = 208.03461 (2000.0) a = 3.4800848 AU Inc. = 31.26121 n'= 0.15181663 q = 1.4317775 AU P = 6.492 years ] [ T = 1899 June 7.88694 TT Epoch = 1899 May 26.0 TT Peri. = 169.99312 e = 0.5879205 Node = 208.05901 (2000.0) a = 3.4816020 AU Inc. = 31.23736 n'= 0.15171740 q = 1.4346968 AU P = 6.496 years ] [ T = 1905 Dec. 3.26914 TT Epoch = 1905 Dec. 21.0 TT Peri. = 170.04030 e = 0.5892041 Node = 208.02716 (2000.0) a = 3.4742018 AU Inc. = 31.29208 n'= 0.15220241 q = 1.4271878 AU P = 6.476 years ] [ T = 1912 May 17.47242 TT Epoch = 1912 Apr. 28.0 TT Peri. = 170.22291 e = 0.5929163 Node = 207.98509 (2000.0) a = 3.4567717 AU Inc. = 31.40314 n'= 0.15335503 q = 1.4071953 AU P = 6.427 years ] [ T = 1918 Oct. 21.01771 TT Epoch = 1918 Oct. 14.0 TT Peri. = 170.32176 e = 0.5934522 Node = 207.92633 (2000.0) a = 3.4525692 AU Inc. = 31.43419 n'= 0.15363511 q = 1.4036345 AU P = 6.415 years ] [ T = 1925 Mar. 1.40217 TT Epoch = 1925 Feb. 19.0 TT Peri. = 175.09854 e = 0.6459359 Node = 206.76378 (2000.0) a = 3.2722317 AU Inc. = 31.88330 n'= 0.16650911 q = 1.1585799 AU P = 5.919 years ] [ T = 1931 Feb. 2.09899 TT Epoch = 1931 Jan. 19.0 TT Peri. = 175.19404 e = 0.6459742 Node = 206.70810 (2000.0) a = 3.2710084 AU Inc. = 31.89388 n'= 0.16660253 q = 1.1580215 AU P = 5.916 years ] [ T = 1936 Dec. 19.14061 TT Epoch = 1936 Dec. 18.0 TT Peri. = 178.58356 e = 0.6891970 Node = 205.60935 (2000.0) a = 3.1429687 AU Inc. = 31.82909 n'= 0.17688621 q = 0.9768441 AU P = 5.572 years ] [ T = 1942 July 17.04687 TT Epoch = 1942 July 20.0 TT Peri. = 178.67236 e = 0.6895677 Node = 205.56349 (2000.0) a = 3.1407846 AU Inc. = 31.85456 n'= 0.17707075 q = 0.9750009 AU P = 5.566 years ] [ T = 1948 Feb. 1.56538 TT Epoch = 1948 Feb. 19.0 TT Peri. = 179.02441 e = 0.6959263 Node = 205.46264 (2000.0) a = 3.1177608 AU Inc. = 32.03021 n'= 0.17903580 q = 0.9480292 AU P = 5.505 years ] [ T = 1953 Aug. 3.19288 TT Epoch = 1953 Aug. 11.0 TT Peri. = 179.08969 e = 0.6969428 Node = 205.42939 (2000.0) a = 3.1131609 AU Inc. = 32.09368 n'= 0.17943275 q = 0.9434657 AU P = 5.493 years ] [ T = 1959 Jan. 27.05933 TT Epoch = 1959 Feb. 1.0 TT Peri. = 179.09447 e = 0.6978362 Node = 205.43988 (2000.0) a = 3.1088550 AU Inc. = 32.12190 n'= 0.17980567 q = 0.9393834 AU P = 5.482 years ] [ T = 1964 July 18.39309 TT Epoch = 1964 July 24.0 TT Peri. = 179.10117 e = 0.6988035 Node = 205.43553 (2000.0) a = 3.1040671 AU Inc. = 32.17950 n'= 0.18022184 q = 0.9349341 AU P = 5.469 years ] [ T = 1970 Jan. 5.45367 TT Epoch = 1970 Jan. 14.0 TT Peri. = 179.07837 e = 0.6983818 Node = 205.45132 (2000.0) a = 3.1059403 AU Inc. = 32.15143 n'= 0.18005883 q = 0.9368081 AU P = 5.474 years ] [ T = 1975 June 25.42029 TT Epoch = 1975 July 7.0 TT Peri. = 179.05442 e = 0.6987408 Node = 205.46672 (2000.0) a = 3.1039222 AU Inc. = 32.17992 n'= 0.18023446 q = 0.9350851 AU P = 5.468 years ] [ T = 1980 Dec. 14.62549 TT Epoch = 1980 Dec. 27.0 TT Peri. = 179.06242 e = 0.6979045 Node = 205.46214 (2000.0) a = 3.1082639 AU Inc. = 32.13376 n'= 0.17985696 q = 0.9389925 AU P = 5.480 years ] [ T = 1986 June 9.79094 TT Epoch = 1986 June 19.0 TT Peri. = 179.09472 e = 0.6964957 Node = 205.46441 (2000.0) a = 3.1132043 AU Inc. = 32.09789 n'= 0.17942900 q = 0.9448708 AU P = 5.493 years ] [ T = 1991 Dec. 10.32444 TT Epoch = 1991 Dec. 10.0 TT Peri. = 179.14516 e = 0.6956739 Node = 205.43663 (2000.0) a = 3.1176859 AU Inc. = 32.05397 n'= 0.17904225 q = 0.9487932 AU P = 5.505 years ] [ T = 1997 June 26.48875 TT Epoch = 1997 July 11.0 TT Peri. = 179.51100 e = 0.6885816 Node = 205.27765 (2000.0) a = 3.1412494 AU Inc. = 31.96515 n'= 0.17703146 q = 0.9782429 AU P = 5.567 years ] [ T = 2003 Jan. 23.33915 TT Epoch = 2003 Feb. 10.0 TT Peri. = 179.59909 e = 0.6880911 Node = 205.23328 (2000.0) a = 3.1436033 AU Inc. = 31.94348 n'= 0.17683266 q = 0.9805179 AU P = 5.574 years ] The predicted orbit for the 2014 return is as follows: T = 2014 Aug. 27.90195 TT Epoch = 2014 Aug. 11.0 TT Peri. = 181.56363 e = 0.6464170 Node = 204.07800 (2000.0) a = 3.2401917 AU Inc. = 32.93078 n'= 0.16898495 q = 1.1456766 AU P = 5.833 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1892/ 081008 H06 1.0- 0.5+ 081021 H45 0.2+ 0.1+ 921014 662(10.3- 15.5-) 081008 H06 0.6- 0.5+ 081021 E85 0.3+ 0.0 921016 662 0.9+ 7.2- 081008 H06 0.8- 0.6+ 081021 E85 0.3- 1.1+ 921016 045 1.0- 0.9- 081008 701 0.0 1.6+ 081021 E85 (3.2+ 5.5-) 921017 662 2.1+ 12.8- 081008 H06 0.6+ 1.0+ 081021 900 0.9- 0.4+ 921017 516 3.0+ 2.5+ 081008 A35 0.2- 0.3+ 081021 900 0.4+ 0.8- 921017 020 6.7- 1.5+ 081008 A35 0.5- 0.0 081021 213 0.2- 0.0 921018 662 (2.3- 13.1-) 081008 A35 0.4- 0.1+ 081021 213 0.1- 0.1+ 921018 516 6.3- 1.8- 081009 673 0.3+ 0.8+ 081021 213 0.1- 0.2- 921018 035(14.5- 1.7-) 081009 673 0.1- 0.9+ 081021 056 0.3- 0.4+ 921018 020 3.7- 1.3+ 081009 673 0.0 0.0 081021 A71 0.9+ 0.6- 921019 662 4.4+ 5.5- 081009 673 1.1- 0.2+ 081021 056 0.6- 0.6+ 921019 084 6.9- 0.7+ 081009 900 0.7- 0.3+ 081021 A71 0.7+ 0.9- 921019 020 5.0- 3.3+ 081009 900 0.7+ 0.3+ 081021 056 0.1+ 0.5+ 921020 802(18.4- 0.0 ) 081009 585 0.3- 0.4+ 081021 A71 1.2+ 0.8- 921020 662 5.0- 5.2- 081009 585 0.1- 0.1- 081021 J55 0.5- 1.3+ 921020 084 5.6- 0.9+ 081009 104 0.2- 0.7+ 081021 J55 0.4+ 0.1+ 921020 045 3.4- 0.4- 081009 104 0.9- 0.9+ 081021 J55 1.0- 0.3+ 921020 991 0.1+ 3.3- 081009 104 1.8- 1.2+ 081022 585 0.6+ 0.3- 921020 522 5.4- 0.8+ 081009 585 1.2- 0.5- 081022 585 1.1+ 0.7+ 921021 741 3.0+ 2.0+ 081009 104 0.3- 0.5+ 081022 585 0.2- 0.2+ 921021 020 5.9- 5.2+ 081009 585 0.6+ 0.7+ 081022 585 0.2- 0.6+ 921021 522 5.5- 6.2+ 081009 585 (0.4- 2.2-) 081022 585 0.6- 0.9- 921022 020 3.2- 6.1+ 081009 585 0.3- 0.4- 081022 585 0.8+ 0.0 921023 662(14.8- 16.6-) 081009 585 0.1- 0.4- 081022 056 0.4- 1.1+ 921023 045 1.9- 4.5+ 081009 585 1.4- 0.0 081022 056 0.2- 0.5+ 921024 020 6.1- 4.0+ 081009 585 0.3+ 1.4+ 081022 056 0.1+ 0.5+ 921025 662 6.7- 3.9- 081009 585 0.4+ 0.4- 081023 704 0.0 1.1+ 921025 662(16.7- 9.7-) 081009 585 0.6- 0.1+ 081023 704 0.7+ 1.3+ 921026 020 9.2- 8.4+ 081009 204 0.2- 0.2+ 081023 704 1.3+ 1.0+ 921027 991 12.1- 5.4+ 081009 204 0.5- 0.2+ 081023 704 1.0+ 1.6+ 921027 020 8.1- 6.9+ 081010 G96 0.2- 0.2- 081023 704 0.5+ 1.6+ 921027 045 4.3- 5.7+ 081010 G96 0.2+ 0.8- 081024 704 0.1+ 0.5+ 921107 045(11.8- 13.8+) 081010 G96 0.2+ 0.6- 081024 704 0.2+ 0.7+ 921108 662 5.1- 11.9+ 081010 G96 0.3- 0.5- 081024 704 0.3- 0.9+ 921109 045 9.9- 12.7+ 081010 850 0.1- 0.0 081024 704 0.2+ 1.4+ 921113 045 (6.6- 15.4+) 081010 850 0.1- 0.3- 081024 704 0.2+ 1.8+ 921117 045 (2.0- 14.1+) 081010 850 0.1+ 0.0 081024 372 0.5+ 0.7- 921118 045 (7.8- 22.0+) 081010 213 0.7- 0.4+ 081024 B30 (2.3+ 7.4-) 921122 662(14.1- 12.5+) 081010 629 0.6- 0.1- 081024 J47 0.7- 0.3- 921122 045 (2.5- 25.4+) 081010 629 0.1- 0.1+ 081024 J47 0.0 0.3- 921208 020(10.9- 35.4+) 081010 213 0.0 0.2- 081024 J47 0.3+ 0.3- 2008/ 081010 629 0.1- 0.3+ 081024 J24 0.7+ 1.0+ 081007 703 1.5+ 1.3- 081010 213 0.7- 1.2+ 081025 J24 1.3+ 1.2- 081007 703 0.6+ 1.0+ 081010 A77 (1.2+ 2.4-) 081025 J24 0.5- 1.3- 081007 703 1.2- 0.6+ 081010 A77 0.2+ 1.0- 081025 704 0.1+ 0.4+ 081007 703 1.0+ 1.4+ 081010 A77 0.3- 0.0 081025 704 0.2- 0.4+ 081007 703 0.6- 0.6- 081010 A77 0.3- 0.3- 081025 704 0.2+ 0.4+ 081007 703 0.1+ 0.7- 081010 B37 1.1+ 1.3- 081025 704 0.1+ 0.2+ 081007 703 0.4+ 0.2+ 081010 B37 1.1+ 0.8- 081025 704 0.8+ 0.7+ 081007 703 0.3+ 0.8+ 081010 B37 1.0+ 0.8- 081025 B73 1.2- 0.3- 081007 703 0.1+ 1.0- 081010 J24 1.7+ 1.1- 081025 B73 0.5- 0.2+ 081007 703 0.3+ 0.8- 081010 J24 0.8+ 0.4- 081025 213 0.2+ 0.2- 081007 703 0.2+ 0.5- 081010 J24 0.0 0.9- 081025 213 0.3- 0.3- 081007 703 0.3+ 1.5- 081011 215 (2.7+ 0.1+) 081025 213 0.5- 0.1- 081007 703 0.0 0.7- 081011 215 1.2+ 0.2- 081026 704 0.1- 0.1- 081007 703 1.2+ 1.2- 081011 215 1.8+ 0.2- 081026 704 0.4+ 0.5+ 081007 703 (2.3+ 1.2-) 081011 629 0.8+ 1.2- 081026 704 0.1- 0.6+ 081007 854 (1.2+ 2.6+) 081011 629 0.2+ 1.5- 081026 H45 1.4- 0.8- 081007 854 0.1- 1.2+ 081011 629 0.7+ 1.0- 081026 H45 0.4- 0.5+ 081007 118 0.1- 0.2- 081013 118 0.1+ 0.0 081026 H45 0.1+ 0.7- 081007 118 0.6- 0.3+ 081013 118 0.2- 0.2+ 081026 H45 0.5- 0.1- 081007 118 0.1+ 0.2+ 081013 118 0.1- 0.3+ 081026 H45 0.3- 0.6+ 081007 118 0.3+ 0.0 081013 118 0.2+ 0.4- 081026 H45 0.1+ 0.2+ 081007 J95 0.4- 0.2+ 081015 900 0.0 0.3+ 081026 H45 1.0- 0.2+ 081007 J95 0.1+ 0.1- 081015 900 0.3+ 0.1+ 081026 704 0.2- 0.1- 081007 J95 0.4- 0.1- 081015 349 0.3- 0.6+ 081026 704 0.1+ 0.1- 081007 J95 0.1- 0.2- 081015 349 0.2- 0.4+ 081027 H45 1.0+ 0.6- 081007 A35 0.2- 0.3- 081015 349 0.5- 0.2+ 081027 H45 0.6+ 0.3- 081007 A35 0.0 0.1- 081016 355 0.4+ 0.2- 081027 H45 0.4- 0.3+ 081007 A35 0.6- 0.2+ 081016 355 0.6- 0.9- 081027 H45 0.4- 0.5+ 081007 A35 0.2- 0.0 081016 355 0.1- 0.7- 081027 H45 0.5- 1.6- 081008 J95 0.1- 0.1- 081018 349 0.7+ 0.6+ 081027 H45 0.5- 0.4- 081008 J95 0.1- 0.1- 081018 349 0.7+ 0.7+ 081027 704 0.1+ 0.2- 081008 J95 0.2- 0.2- 081018 349 0.9+ 0.8+ 081027 704 0.1- 1.0+ 081008 682 0.3+ 0.7- 081018 629 0.7- 0.2- 081027 704 0.2- 0.7- 081008 682 0.3+ 1.0- 081018 629 0.9- 0.1- 081027 704 0.1+ 0.1+ 081008 682 0.5+ 0.9- 081018 629 0.6- 0.1+ 081027 704 0.2+ 0.5- 081008 G96 0.4- 0.0 081018 B42 0.5+ 0.0 081027 372 0.1+ 0.3- 081008 G96 0.4- 0.8- 081018 B42 0.7+ 0.6- 081027 372 0.0 0.1+ 081008 G96 0.0 0.6- 081018 B42 0.8+ 0.5- 081027 J47 0.0 0.3+ 081008 G96 0.1+ 0.7- 081019 H45 0.4- 0.1- 081027 J47 0.1- 0.0 081008 G96 0.0 0.4- 081019 H45 0.5- 0.0 081027 J47 0.1- 0.4- 081008 G96 0.6- 0.2- 081019 H45 0.2- 0.2+ 081027 J47 0.1+ 0.8- 081008 G96 0.6- 0.1- 081019 H45 0.2- 1.4- 081030 J47 0.3- 0.4- 081008 673 0.7- 0.6+ 081019 H45 0.3- 1.7- 081030 J47 0.1+ 0.3- 081008 673 0.7- 0.8+ 081019 H45 0.2- 1.5- 081030 J47 0.2+ 0.1- 081008 673 0.4- 0.4+ 081019 056 0.3+ 0.0 081030 J47 0.0 0.3+ 081008 673 0.8- 1.2+ 081019 056 (2.4- 3.8-) 081101 349 0.3- 0.4- 081008 H01 0.1- 0.4+ 081019 056 (0.9+ 5.6+) 081101 349 0.3- 0.3- 081008 H01 0.1- 0.3+ 081019 A13 0.8+ 1.9- 081101 349 0.5- 0.2+ 081008 H01 0.3- 0.6+ 081019 A13 0.9+ 1.7- 081108 808 1.0- 0.3+ 081008 H01 0.3- 0.4+ 081019 A71 0.6+ 0.4- 081108 808 0.5+ 0.9- 081008 H01 0.1- 0.3+ 081019 A71 0.8+ 0.4- 081108 808 (2.0+ 4.4-) 081008 H01 0.0 0.3+ 081019 A71 1.2+ 0.1- 081126 415 0.1- 0.2+ 081008 H01 0.3- 0.4+ 081020 629 0.9+ 0.3+ 081130 415 0.1+ 0.0 081008 H01 0.1+ 0.5+ 081020 629 0.9+ 0.1+ 081130 415 0.9- 1.1- 081008 H01 0.1- 0.2+ 081020 629 0.5+ 0.1- 081215 E16 0.6- 0.4- 081008 H01 0.3- 0.5+ 081020 215 0.0 0.0 081215 E16 1.0- 0.1+ 081008 448 0.2- 0.3+ 081020 215 0.0 0.2- 081226 474 0.2+ 0.1- 081008 448 0.0 0.1- 081020 215 0.1+ 0.7- 081226 474 0.3+ 0.3- 081008 448 0.3- 0.1+ 081020 B73 0.7- 1.2+ 081226 474 0.5+ 0.6+ 081008 448 0.3- 0.2- 081020 B73 0.0 1.4+ 081226 474 0.0 0.4- 081008 448 0.3- 0.0 081021 H45 0.0 0.0 081226 474 0.1- 0.5- 081008 701 0.7+ 0.9- 081021 H45 0.5- 0.0 081226 474 0.7+ 0.1+ 081008 G96 0.0 0.1+ 081021 H45 0.1+ 0.0 2009/ 081008 G96 0.0 0.1- 081021 H45 0.0 0.0 090104 474 0.4+ 0.6- 081008 G96 0.1- 0.5- 081021 H45 0.2- 0.3- 090104 474 0.1+ 0.2- 081008 G96 0.3- 0.5- 081021 H45 0.2- 0.2- ( ) -------- Rejected Obs.

Managing Director of the Oriental Astronomical Association Syuichi Nakano 2009 Mar. 18

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