Nakano Note (Nakano wa Kangaeru noda) NK 2331 P/Bernardi (2005 V1 = 2012 P2)

The following improved orbital elements, by S. Nakano, are from 49 observations 2005 to 2012. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.18 arc second. The delta-T correction for the prediction in NK 2297 was -0.029 day with the residual of 7" in R. A.. See the previous orbits in NK 1353, NK 1471 and NK 2297. Epoch = 2015 Apr. 8.0 TT T = 2015 Apr. 27.39392 +/- 0.00213 (m.e.) TT Peri. = 0.43823 +/- 0.00008 Node = 127.65532 +/- 0.00003 (2000.0) Inc. = 16.10098 +/- 0.00001 q = 2.4200623 +/- 0.0000021 AU e = 0.4701404 +/- 0.0000003 a = 4.5673655 +/- 0.0000010 AU n' = 0.10097304 +/- 0.00000003 P = 9.761 +/- 0.0000033 years T = 2005 Aug. 12.56572 TT Epoch = 2005 Aug. 18.0 TT Peri. = 357.31563 e = 0.4785721 Node = 129.73881 (2000.0) a = 4.4973985 AU Inc. = 15.62196 n'= 0.10333847 q = 2.3450693 AU P = 9.538 years The predicted orbit for the 2024 return is as follows: T = 2024 Dec. 18.46177 TT Epoch = 2025 Jan. 5.0 TT Peri. = 0.01086 e = 0.4746144 Node = 125.63180 (2000.0) a = 4.5921082 AU Inc. = 15.66109 n'= 0.10015806 q = 2.4126277 AU P = 9.841 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2005/ 051111 568 0.1+ 0.1+ 060428 568 0.1+ 0.1+ 051101 568 0.0 0.1+ 051111 568 0.2+ 0.1+ 060726 568 0.2+ 0.1- 051101 568 0.0 0.0 051112 204 0.3- 0.2- 060726 568 0.2+ 0.0 051101 568 0.1+ 0.0 051113 568 0.1+ 0.0 2007/ 051101 568 0.1+ 0.0 051113 568 0.1+ 0.0 070224 568 0.0 0.1+ 051102 568 0.1- 0.0 051113 568 0.2+ 0.0 070224 568 0.0 0.1+ 051102 568 0.2- 0.0 051113 568 0.1+ 0.0 070224 568 0.2- 0.3+ 051102 568 0.1- 0.1- 051113 568 0.0 0.0 070224 568 0.0 0.1- 051102 568 0.1- 0.1+ 051113 568 0.1+ 0.0 070615 568 0.0 0.2- 051103 568 0.3- 0.3+ 051201 204 1.0- 0.1+ 070615 568 0.0 0.2- 051103 568 0.3- 0.3+ 051201 204 0.3- 0.1+ 2012/ 051103 568 0.0 0.2+ 051229 568 0.1- 0.1+ 120813 568 0.1- 0.1+ 051104 568 0.1- 0.0 051229 568 0.1- 0.1+ 120813 568 0.1+ 0.2+ 051104 568 0.1+ 0.1- 051229 568 0.1- 0.0 120813 568 0.1- 0.2+ 051104 568 0.0 0.0 2006/ 120816 568 0.0 0.2+ 051104 568 0.2+ 0.0 060402 204 0.0 0.0 120816 568 0.0 0.3+ 051108 204 0.5+ 0.2+ 060402 204 0.3+ 0.3- 120816 568 0.1- 0.2+ 051111 568 0.1+ 0.1+ 060428 568 0.1+ 0.1+ ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2012 Sept. 17

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