The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 12HE85 # Created Fri Nov 22 02:09:18 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 60 observations of 60 # Arc: 5.26y # First observation: 2012/04/18 # Last observation: 2017/07/21 # Chi-squared of fit: 21.56 DOF: 114 RMS: 0.11 # Min/Max residuals: -0.24 0.27 # Exact a, adot, b, bdot, g, gdot: 1.621580E-05 2.607208E-02 7.035296E-07 9.957652E-04 2.511638E-02 8.284339E-04 # Covariance matrix: 7.9692E-14 -6.3453E-14 1.3582E-15 -2.5354E-15 -4.1687E-15 -4.2110E-13 -6.3453E-14 2.9687E-13 -9.2059E-15 1.2173E-14 2.5904E-13 2.1725E-12 1.3582E-15 -9.2059E-15 4.7322E-14 -1.2806E-14 -8.6733E-15 -6.8493E-14 -2.5354E-15 1.2173E-14 -1.2806E-14 7.2049E-15 1.0177E-14 9.1785E-14 -4.1687E-15 2.5904E-13 -8.6733E-15 1.0177E-14 3.0353E-13 1.8712E-12 -4.2110E-13 2.1725E-12 -6.8493E-14 9.1785E-14 1.8712E-12 1.6329E-11 # lat0 lon0 xBary yBary zBary JD0 2.054839 -81.154660 0.948984 0.012138 -0.338167 2456035.768316 # Heliocentric elements and errors Epoch: 2456036.5000 = 2012/04/19 Mean Anomaly: 3.62009 +/- 0.083 Argument of Peri: 37.85710 +/- 0.101 Long of Asc Node: 235.27512 +/- 0.002 Inclination: 3.02988 +/- 0.000 Eccentricity: 0.09576317 +/- 0.0000 Semi-Major Axis: 44.40457027 +/- 0.0026 Time of Perihelion: 2454949.6834 +/- 24.8 Perihelion: 40.15224802 +/- 0.0028 Aphelion: 48.65689252 +/- 0.0032 Period (y) 295.9032 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 5.23598464 +/- 0.0001 Ecliptic Y -39.79423925 +/- 0.0009 Ecliptic Z 1.42762905 +/- 0.0000 Ecliptic XDOT 0.00281654 +/- 0.0000 Ecliptic YDOT 0.00035536 +/- 0.0000 Ecliptic ZDOT 0.00011182 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.16260432 +/- 0.0009 Geocenter to KBO 39.81464978 +/- 0.0009 # Hcoef: 8.81
The following table shows the complete astrometric record for 12HE85. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (12HE85) followed by the observatory code and reference code for the source of the astrometry.
2012 04 18.26755 18 37 55.23 -21 05 37.8 12HE85 268 C~1j9N 2012 04 18.31485 18 37 55.18 -21 05 37.7 12HE85 268 C~1j9N 2012 04 18.36265 18 37 55.13 -21 05 37.6 12HE85 268 C~1j9N 2012 04 18.40586 18 37 55.08 -21 05 37.6 12HE85 268 C~1j9N 2012 04 19.30535 18 37 54.14 -21 05 35.1 12HE85 268 C~1j9N 2012 04 19.30696 18 37 54.14 -21 05 35.1 12HE85 268 C~1j9N 2012 04 19.31725 18 37 54.13 -21 05 35.1 12HE85 268 C~1j9N 2012 04 19.33912 18 37 54.11 -21 05 35.1 12HE85 268 C~1j9N 2012 04 19.35214 18 37 54.08 -21 05 35.0 12HE85 268 C~1j9N 2012 04 19.36183 18 37 54.07 -21 05 35.0 12HE85 268 C~1j9N 2012 04 19.36529 18 37 54.06 -21 05 35.0 12HE85 268 C~1j9N 2012 04 19.39518 18 37 54.04 -21 05 34.8 12HE85 268 C~1j9N 2012 04 19.39905 18 37 54.03 -21 05 34.7 12HE85 268 C~1j9N 2012 04 19.40424 18 37 54.02 -21 05 34.8 12HE85 268 C~1j9N 2012 04 19.41581 18 37 54.01 -21 05 34.7 12HE85 268 C~1j9N 2012 04 20.25767 18 37 53.04 -21 05 32.7 12HE85 268 C~1j9N 2012 04 20.26765 18 37 53.02 -21 05 32.7 12HE85 268 C~1j9N 2013 06 08.17983 18 41 40.38 -20 56 08.3 12HE85 268 C~1j9N 2013 06 08.22941 18 41 40.14 -20 56 08.5 12HE85 268 C~1j9N 2013 06 08.26997 18 41 39.94 -20 56 08.5 12HE85 268 C~1j9N 2013 06 11.21626 18 41 25.62 -20 56 17.7 12HE85 268 C~1j9N 2013 06 11.27933 18 41 25.30 -20 56 18.1 12HE85 268 C~1j9N 2013 06 11.34902 18 41 24.97 -20 56 18.2 12HE85 268 C~1j9N 2013 06 13.21699 18 41 15.71 -20 56 24.4 12HE85 268 C~1j9N 2013 06 13.27759 18 41 15.40 -20 56 24.6 12HE85 268 C~1j9N 2013 07 02.19823 18 39 37.18 -20 57 40.8 12HE85 268 C~1j9N 2013 07 02.24782 18 39 36.92 -20 57 41.1 12HE85 268 C~1j9N 2013 07 02.29670 18 39 36.65 -20 57 41.3 12HE85 268 C~1j9N 2013 07 03.19268 18 39 31.92 -20 57 45.4 12HE85 268 C~1j9N 2013 07 03.26930 18 39 31.52 -20 57 45.8 12HE85 268 C~1j9N 2013 07 03.31283 18 39 31.29 -20 57 46.1 12HE85 268 C~1j9N 2013 07 05.36127 18 39 20.50 -20 57 56.0 12HE85 266 C~1j9N 2013 07 05.44641 18 39 20.03 -20 57 56.2 12HE85 266 C~1j9N 2013 07 05.52710 18 39 19.62 -20 57 56.7 12HE85 266 C~1j9N 2013 07 06.44424 18 39 14.79 -20 58 01.1 25.3R 12HE85 266 C~1j9N 2013 07 06.52828 18 39 14.33 -20 58 01.5 12HE85 266 C~1j9N 2013 08 28.07314 18 35 35.25 -21 02 18.1 12HE85 268 C~1j9N 2013 08 30.06948 18 35 30.71 -21 02 26.5 12HE85 268 C~1j9N 2013 09 01.05404 18 35 26.57 -21 02 34.6 12HE85 268 C~1j9N 2013 09 03.04605 18 35 22.78 -21 02 42.6 12HE85 268 C~1j9N 2013 09 04.05023 18 35 21.02 -21 02 46.4 12HE85 268 C~1j9N 2013 09 06.04468 18 35 17.82 -21 02 54.0 12HE85 268 C~1j9N 2014 06 25.36019 18 46 41.568 -20 46 56.94 12HE85 266 C~2Gt8 2014 06 25.40240 18 46 41.349 -20 46 57.18 12HE85 266 C~2Gt8 2014 06 25.40565 18 46 41.326 -20 46 57.32 12HE85 266 C~2Gt8 2014 06 25.48026 18 46 40.931 -20 46 57.68 12HE85 266 C~2Gt8 2016 06 05.50229 19 01 06.126 -20 22 07.95 12HE85 266 C~2Gt8 2016 06 05.54625 19 01 05.929 -20 22 08.13 12HE85 266 C~2Gt8 2017 05 20.45555 19 08 30.591 -20 08 09.89 24.9r 12HE85 568 C~2ccW 2017 05 20.51196 19 08 30.393 -20 08 10.10 24.3r 12HE85 568 C~2ccW 2017 06 22.42635 19 06 09.975 -20 10 41.56 25.1r 12HE85 568 C~2ccW 2017 06 23.42049 19 06 04.968 -20 10 48.09 12HE85 568 C~2ccW 2017 06 23.42053 19 06 04.960 -20 10 48.25 24.8r 12HE85 568 C~2ccW 2017 06 23.47693 19 06 04.672 -20 10 48.50 12HE85 568 C~2ccW 2017 07 20.27714 19 03 46.058 -20 14 12.47 24.4r 12HE85 266 C~7uf1 2017 07 20.41604 19 03 45.342 -20 14 13.63 24.4r 12HE85 266 C~7uf1 2017 07 20.55184 19 03 44.643 -20 14 14.70 24.4r 12HE85 266 C~7uf1 2017 07 21.26989 19 03 41.033 -20 14 20.60 24.8r 12HE85 266 C~7uf1 2017 07 21.38884 19 03 40.422 -20 14 21.60 24.8r 12HE85 266 C~7uf1 2017 07 21.50636 19 03 39.820 -20 14 22.54 24.8r 12HE85 266 C~7uf1
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.04 0.00 -0.01 2 0.0001 0.00 0.05 0.00 -0.03 3 0.0003 0.00 0.08 0.00 -0.05 4 0.0004 0.00 0.04 0.00 -0.16 5 0.0028 0.00 0.05 0.00 -0.01 6 0.0028 0.00 0.08 0.00 -0.02 7 0.0029 0.00 0.11 0.00 -0.04 8 0.0029 0.00 0.20 0.00 -0.09 9 0.0030 0.00 -0.01 0.00 -0.02 10 0.0030 0.00 0.01 0.00 -0.05 11 0.0030 0.00 -0.08 0.00 -0.06 12 0.0031 0.00 0.16 0.00 0.07 13 0.0031 0.00 0.08 0.00 0.16 14 0.0031 0.00 0.02 0.00 0.05 15 0.0031 0.00 0.08 0.00 0.12 16 0.0054 0.00 -0.05 0.00 -0.01 17 0.0055 0.00 -0.17 0.00 -0.03 18 1.1387 0.00 -0.18 0.00 -0.06 19 1.1388 0.00 -0.15 0.00 -0.10 20 1.1390 0.00 -0.18 0.00 0.02 21 1.1470 0.00 -0.18 0.00 0.02 22 1.1472 0.00 -0.24 0.00 -0.17 23 1.1474 0.00 0.04 0.00 -0.06 24 1.1525 0.00 -0.13 0.00 -0.02 25 1.1527 0.00 -0.17 0.00 -0.02 26 1.2045 0.00 -0.07 0.00 0.18 27 1.2046 0.00 0.03 0.00 0.11 28 1.2047 0.00 -0.09 0.00 0.12 29 1.2072 0.00 -0.14 0.00 0.15 30 1.2074 0.00 0.03 0.00 0.10 31 1.2075 0.00 0.07 0.00 -0.01 32 1.2131 0.00 0.14 0.00 -0.17 33 1.2134 0.00 -0.06 0.00 0.04 34 1.2136 0.00 0.27 0.00 -0.10 35 1.2161 0.00 0.15 0.00 -0.15 36 1.2163 0.00 -0.02 0.00 -0.16 37 1.3602 0.00 0.12 0.00 -0.02 38 1.3656 0.00 0.07 0.00 -0.01 39 1.3711 0.00 0.08 0.00 0.04 40 1.3765 0.00 -0.08 0.00 -0.02 41 1.3793 0.00 -0.08 0.00 0.10 42 1.3847 0.00 -0.06 0.00 0.09 43 2.1851 0.00 0.06 0.00 0.15 44 2.1852 0.00 0.13 0.00 0.12 45 2.1852 0.00 0.05 0.00 -0.00 46 2.1854 0.00 0.07 0.00 0.01 47 4.1321 0.00 0.17 0.00 0.22 48 4.1322 0.00 0.20 0.00 0.22 49 5.0874 0.00 0.00 0.00 -0.03 50 5.0876 0.00 -0.18 0.00 -0.11 51 5.1777 0.00 -0.09 0.00 -0.17 52 5.1804 0.00 -0.02 0.00 -0.06 53 5.1804 0.00 -0.13 0.00 -0.22 54 5.1806 0.00 -0.10 0.00 -0.09 55 5.2540 0.00 0.07 0.00 0.05 56 5.2543 0.00 0.08 0.00 0.04 57 5.2547 0.00 0.07 0.00 0.05 58 5.2567 0.00 0.02 0.00 0.03 59 5.2570 0.00 0.01 0.00 0.02 60 5.2573 0.00 0.02 0.00 0.02
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
12HE85 quality flag:3 Type: 9:5EEEE 9:5EEEE 9:5EEEE axisobj 44.319 44.319 44.319 ecceobj 0.095 0.095 0.095 incobj 3.033 3.033 3.033 qmin 39.713 39.713 39.713 qmax 49.793 49.793 49.793 amean 44.555 44.555 44.555 amin 44.174 44.174 44.174 amax 44.967 44.967 44.967 emean 0.096 0.096 0.096 emin 0.084 0.084 0.084 emax 0.107 0.107 0.107 imean 4.660 4.660 4.660 imin 4.089 4.089 4.089 imax 5.284 5.284 5.284 excite_mean 0.126 0.126 0.126 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 libcent 0 183.8 183.8 183.7 libamp 0 126.8 126.8 126.8 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 177.2 177.1 177.2 kozaiamp 179.9 179.9 180.0