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: 15KG178 # Created Sun Dec 22 02:10:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 102 observations of 102 # Arc: 10.32y # First observation: 2010/02/26 # Last observation: 2020/06/23 # Chi-squared of fit: 108.53 DOF: 198 RMS: 0.18 # Min/Max residuals: -1.02 0.72 # Exact a, adot, b, bdot, g, gdot: 1.441924E-05 3.782776E-02 -9.216246E-06 -1.818259E-02 3.353998E-02 7.645265E-03 # Covariance matrix: 2.4758E-13 -7.2083E-14 -6.4713E-14 2.9084E-14 1.3230E-14 -1.6072E-13 -7.2083E-14 3.2471E-14 3.1687E-14 -1.5106E-14 1.4111E-14 8.4949E-14 -6.4713E-14 3.1687E-14 1.4893E-13 -3.5651E-14 8.7337E-15 9.3980E-14 2.9084E-14 -1.5106E-14 -3.5651E-14 1.1565E-14 -6.0714E-15 -4.4607E-14 1.3230E-14 1.4111E-14 8.7337E-15 -6.0714E-15 4.9333E-14 3.7207E-14 -1.6072E-13 8.4949E-14 9.3980E-14 -4.4607E-14 3.7207E-14 2.5054E-13 # lat0 lon0 xBary yBary zBary JD0 11.587366 -131.644577 0.938724 0.066094 -0.322473 2455254.094006 # Heliocentric elements and errors Epoch: 2455254.5000 = 2010/02/27 Mean Anomaly: 23.77962 +/- 0.002 Argument of Peri: 112.60023 +/- 0.003 Long of Asc Node: 69.46433 +/- 0.000 Inclination: 27.49098 +/- 0.000 Eccentricity: 0.27573733 +/- 0.0000 Semi-Major Axis: 39.32832850 +/- 0.0015 Time of Perihelion: 2449303.9221 +/- 0.6 Perihelion: 28.48404010 +/- 0.0014 Aphelion: 50.17261691 +/- 0.0021 Period (y) 246.6417 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -20.32466626 +/- 0.0001 Ecliptic Y -21.45136054 +/- 0.0001 Ecliptic Z 5.98847880 +/- 0.0000 Ecliptic XDOT 0.00170558 +/- 0.0000 Ecliptic YDOT -0.00272576 +/- 0.0000 Ecliptic ZDOT -0.00132869 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.15144063 +/- 0.0001 Geocenter to KBO 29.81507854 +/- 0.0002 # Hcoef: 7.42
The following table shows the complete astrometric record for 15KG178. 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 (15KG178) followed by the observatory code and reference code for the source of the astrometry.
2010 02 26.59324 15 16 24.434 -06 08 13.19 22.2G 15KG178 F51 C~347I 2010 05 16.38481 15 10 16.136 -05 40 32.21 21.5G 15KG178 F51 C~347I 2010 05 18.54264 15 10 02.114 -05 40 04.10 21.6G 15KG178 F51 C~347I 2011 04 27.48265 15 19 45.456 -07 22 17.95 22.6G 15KG178 F51 C~347I 2011 04 28.44975 15 19 39.379 -07 21 59.27 21.9G 15KG178 F51 C~347I 2011 05 11.53133 15 18 15.021 -07 18 08.41 22.1G 15KG178 F51 C~347I 2012 02 10.63253 15 30 40.406 -09 15 54.55 22.9G 15KG178 F51 C~347I 2012 04 27.53662 15 27 02.353 -08 56 26.11 21.8G 15KG178 F51 C~347I 2012 04 27.54725 15 27 02.280 -08 56 25.85 22.0G 15KG178 F51 C~347I 2012 05 01.44192 15 26 37.818 -08 55 16.58 21.8G 15KG178 F51 C~347I 2012 05 01.45288 15 26 37.729 -08 55 16.56 21.9G 15KG178 F51 C~347I 2012 05 20.35503 15 24 34.999 -08 50 34.95 21.8G 15KG178 F51 C~347I 2012 06 07.29439 15 22 43.197 -08 48 14.37 21.4G 15KG178 F51 C~347I 2013 04 15.50225 15 35 33.210 -10 32 29.97 22.3G 15KG178 F51 C~347I 2013 04 15.51651 15 35 33.141 -10 32 29.72 21.6G 15KG178 F51 C~347I 2013 04 15.53078 15 35 33.062 -10 32 29.53 21.7G 15KG178 F51 C~347I 2013 04 15.54502 15 35 32.981 -10 32 29.31 23.3G 15KG178 F51 C~347I 2013 06 04.37674 15 30 21.110 -10 21 10.75 22.2G 15KG178 F51 C~347I 2013 06 04.39173 15 30 21.006 -10 21 10.12 21.6G 15KG178 F51 C~347I 2013 06 04.40638 15 30 20.916 -10 21 10.12 21.6G 15KG178 F51 C~347I 2013 06 04.42102 15 30 20.854 -10 21 09.69 21.3G 15KG178 F51 C~347I 2014 05 04.45106 15 40 59.451 -11 57 48.38 21.7G 15KG178 F51 C~347I 2014 05 04.47491 15 40 59.286 -11 57 47.55 22.0G 15KG178 F51 C~347I 2014 05 04.48685 15 40 59.205 -11 57 47.47 22.0G 15KG178 F51 C~347I 2014 05 10.42152 15 40 21.197 -11 56 23.16 21.8G 15KG178 F51 C~347I 2014 05 10.44547 15 40 21.053 -11 56 22.96 21.7G 15KG178 F51 C~347I 2014 05 10.45745 15 40 20.975 -11 56 22.24 22.7G 15KG178 F51 C~347I 2014 05 22.41666 15 39 02.898 -11 53 54.98 21.7G 15KG178 F51 C~347I 2014 05 24.36974 15 38 50.187 -11 53 34.38 21.9G 15KG178 F51 C~347I 2014 05 24.38237 15 38 50.114 -11 53 34.36 22.4G 15KG178 F51 C~347I 2014 05 24.43642 15 38 49.755 -11 53 33.75 22.2G 15KG178 F51 C~347I 2014 05 24.44905 15 38 49.664 -11 53 33.68 22.3G 15KG178 F51 C~347I 2014 06 03.41378 15 37 46.015 -11 52 07.80 22.0G 15KG178 F51 C~347I 2014 06 03.42649 15 37 45.939 -11 52 07.52 22.2G 15KG178 F51 C~347I 2014 06 03.43919 15 37 45.853 -11 52 07.45 21.8G 15KG178 F51 C~347I 2014 06 03.45185 15 37 45.779 -11 52 07.47 21.9G 15KG178 F51 C~347I 2014 07 26.26987 15 33 57.101 -11 56 21.36 22.5G 15KG178 F51 C~347I 2014 07 26.28185 15 33 57.087 -11 56 21.55 22.5G 15KG178 F51 C~347I 2014 07 26.29381 15 33 57.064 -11 56 21.70 22.6G 15KG178 F51 C~347I 2014 07 26.30575 15 33 57.032 -11 56 21.95 22.6G 15KG178 F51 C~347I 2014 07 28.27060 15 33 53.943 -11 56 57.42 22.0G 15KG178 F51 C~347I 2014 07 28.27126 15 33 53.927 -11 56 57.48 22.2G 15KG178 F51 C~347I 2014 07 28.28148 15 33 53.911 -11 56 57.72 21.8G 15KG178 F51 C~347I 2015 05 20.27068 15 46 35.46 -13 23 10.1 15KG178 W84 C~2zsT 2015 05 21.31193 15 46 28.63 -13 22 58.7 22.8V 15KG178 W84 C~2zsT 2015 05 22.35447 15 46 21.80 -13 22 47.5 15KG178 W84 C~2zsT 2015 05 24.26327 15 46 09.29 -13 22 28.0 15KG178 W84 C~2zsT 2015 06 16.36346 15 43 45.889 -13 19 54.96 22.0G 15KG178 F51 C~347I 2015 06 16.37817 15 43 45.809 -13 19 54.96 22.2G 15KG178 F51 C~347I 2015 06 16.39280 15 43 45.718 -13 19 54.90 22.1G 15KG178 F51 C~347I 2015 06 16.40749 15 43 45.633 -13 19 54.87 22.4G 15KG178 F51 C~347I 2015 06 17.38254 15 43 40.108 -13 19 52.42 21.9G 15KG178 F51 C~347I 2015 06 23.36211 15 43 07.645 -13 19 45.41 21.9G 15KG178 F51 C~347I 2016 03 04.59091 15 59 18.134 -15 01 35.02 22.3G 15KG178 F51 C~347I 2016 03 04.60369 15 59 18.114 -15 01 35.32 22.3G 15KG178 F51 C~347I 2016 03 04.61647 15 59 18.109 -15 01 35.18 22.5G 15KG178 F51 C~347I 2016 03 04.62926 15 59 18.103 -15 01 35.08 22.6G 15KG178 F51 C~347I 2016 03 17.57181 15 59 02.315 -15 00 45.45 22.6G 15KG178 F51 C~347I 2016 03 17.59425 15 59 02.284 -15 00 45.37 22.5G 15KG178 F51 C~347I 2016 03 17.60549 15 59 02.232 -15 00 45.16 22.4G 15KG178 F51 C~347I 2016 04 01.56024 15 58 18.538 -14 58 50.04 21.9G 15KG178 F51 C~347I 2016 04 03.53350 15 58 10.931 -14 58 30.89 21.4G 15KG178 F51 C~347I 2016 04 03.54540 15 58 10.869 -14 58 30.83 22.1G 15KG178 F51 C~347I 2016 04 03.55732 15 58 10.820 -14 58 30.75 21.8G 15KG178 F51 C~347I 2016 04 03.56926 15 58 10.774 -14 58 30.77 22.0G 15KG178 F51 C~347I 2016 04 14.54145 15 57 21.425 -14 56 34.49 22.3G 15KG178 F51 C~347I 2016 04 14.57713 15 57 21.249 -14 56 33.83 22.2G 15KG178 F51 C~347I 2016 04 15.50919 15 57 16.575 -14 56 23.39 22.1G 15KG178 F51 C~347I 2016 04 15.52119 15 57 16.514 -14 56 23.27 22.2G 15KG178 F51 C~347I 2016 04 15.53315 15 57 16.443 -14 56 23.14 22.6G 15KG178 F51 C~347I 2016 04 15.54513 15 57 16.405 -14 56 23.16 22.4G 15KG178 F51 C~347I 2016 04 16.54854 15 57 11.260 -14 56 11.47 22.3G 15KG178 F51 C~347I 2016 04 16.55828 15 57 11.225 -14 56 11.65 22.7G 15KG178 F51 C~347I 2016 04 16.56802 15 57 11.157 -14 56 11.51 22.6G 15KG178 F51 C~347I 2016 04 16.57772 15 57 11.106 -14 56 11.26 22.3G 15KG178 F51 C~347I 2016 05 13.45338 15 54 31.166 -14 50 56.60 21.9G 15KG178 F51 C~347I 2016 06 28.35969 15 49 51.770 -14 46 20.85 22.2G 15KG178 F51 C~347I 2016 06 28.36034 15 49 51.766 -14 46 20.67 22.1G 15KG178 F51 C~347I 2016 06 28.37109 15 49 51.703 -14 46 20.70 22.9G 15KG178 F51 C~347I 2016 06 28.37173 15 49 51.706 -14 46 20.77 22.2G 15KG178 F51 C~347I 2016 06 28.39389 15 49 51.615 -14 46 20.54 23.2G 15KG178 F51 C~347I 2016 06 28.39453 15 49 51.603 -14 46 20.83 22.2G 15KG178 F51 C~347I 2016 07 08.31143 15 49 07.182 -14 46 51.13 22.2G 15KG178 F51 C~347I 2016 07 08.32253 15 49 07.124 -14 46 50.90 22.3G 15KG178 F51 C~347I 2016 07 08.33360 15 49 07.077 -14 46 51.06 22.3G 15KG178 F51 C~347I 2016 07 08.34495 15 49 07.034 -14 46 50.98 22.3G 15KG178 F51 C~347I 2017 04 01.59154 16 05 30.044 -16 21 52.06 22.6G 15KG178 F51 C~347I 2017 04 01.61223 16 05 29.975 -16 21 51.85 22.7G 15KG178 F51 C~347I 2017 04 01.62258 16 05 29.962 -16 21 52.09 22.7G 15KG178 F51 C~347I 2017 05 19.53822 16 01 08.588 -16 14 23.82 22.4G 15KG178 F51 C~347I 2017 07 16.30296 15 55 48.430 -16 11 38.11 22.6G 15KG178 F51 C~347I 2017 07 16.31273 15 55 48.395 -16 11 38.04 22.4G 15KG178 F51 C~347I 2017 07 16.32251 15 55 48.365 -16 11 38.19 22.8G 15KG178 F51 C~347I 2017 07 16.33225 15 55 48.325 -16 11 38.27 22.4G 15KG178 F51 C~347I 2018 06 06.40979 16 06 28.554 -17 34 26.68 22.1G 15KG178 F51 C~347I 2018 06 06.42092 16 06 28.482 -17 34 26.68 22.0G 15KG178 F51 C~347I 2018 06 06.43209 16 06 28.418 -17 34 26.30 22.1G 15KG178 F51 C~347I 2018 06 06.44324 16 06 28.339 -17 34 26.32 22.0G 15KG178 F51 C~347I 2018 08 03.26839 16 02 10.851 -17 35 43.38 23.1G 15KG178 F51 C~347I 2020 06 23.34802 16 19 08.138 -20 11 03.68 22.5w 15KG178 F51 C~3xrZ 2020 06 23.35774 16 19 08.094 -20 11 03.79 22.3w 15KG178 F51 C~3xrZ 2020 06 23.36763 16 19 08.023 -20 11 03.71 22.1w 15KG178 F51 C~3xrZ
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 0.72 0.00 -0.06 2 0.2157 0.00 -0.06 0.00 0.09 3 0.2216 0.00 -0.08 0.00 0.24 4 1.1633 0.00 -0.05 0.00 0.29 5 1.1659 0.00 -0.28 0.00 -0.00 6 1.2017 0.00 0.13 0.00 0.03 7 1.9549 0.00 -0.71 0.00 -0.17 8 2.1655 0.00 0.08 0.00 0.10 9 2.1655 0.00 -0.00 0.00 0.16 10 2.1762 0.00 0.18 0.00 -0.33 11 2.1762 0.00 -0.09 0.00 -0.50 12 2.2280 0.00 -0.03 0.00 -0.05 13 2.2771 0.00 0.06 0.00 0.03 14 3.1319 0.00 -0.02 0.00 0.03 15 3.1319 0.00 0.13 0.00 0.03 16 3.1319 0.00 0.14 0.00 -0.03 17 3.1320 0.00 0.11 0.00 -0.07 18 3.2684 0.00 0.14 0.00 -0.32 19 3.2684 0.00 -0.02 0.00 0.22 20 3.2685 0.00 0.00 0.00 0.13 21 3.2685 0.00 0.44 0.00 0.47 22 4.1830 0.00 0.22 0.00 -0.43 23 4.1831 0.00 0.05 0.00 0.05 24 4.1831 0.00 -0.01 0.00 -0.05 25 4.1994 0.00 0.02 0.00 0.00 26 4.1995 0.00 0.22 0.00 -0.12 27 4.1995 0.00 0.24 0.00 0.43 28 4.2322 0.00 -0.22 0.00 0.06 29 4.2376 0.00 -0.12 0.00 0.05 30 4.2376 0.00 0.04 0.00 -0.06 31 4.2378 0.00 0.02 0.00 -0.00 32 4.2378 0.00 -0.09 0.00 -0.06 33 4.2651 0.00 -0.09 0.00 -0.15 34 4.2651 0.00 -0.02 0.00 0.04 35 4.2651 0.00 -0.11 0.00 0.02 36 4.2652 0.00 -0.01 0.00 -0.09 37 4.4098 0.00 0.01 0.00 -0.02 38 4.4098 0.00 0.12 0.00 -0.00 39 4.4099 0.00 0.10 0.00 0.06 40 4.4099 0.00 -0.05 0.00 0.02 41 4.4153 0.00 0.24 0.00 0.14 42 4.4153 0.00 0.01 0.00 0.10 43 4.4153 0.00 0.01 0.00 0.05 44 5.2257 0.00 -0.46 0.00 -0.03 45 5.2285 0.00 -0.51 0.00 0.09 46 5.2314 0.00 -0.50 0.00 0.23 47 5.2366 0.00 -1.02 0.00 0.18 48 5.2999 0.00 0.01 0.00 -0.05 49 5.2999 0.00 0.10 0.00 -0.09 50 5.2999 0.00 0.01 0.00 -0.07 51 5.3000 0.00 0.01 0.00 -0.08 52 5.3026 0.00 -0.05 0.00 -0.10 53 5.3190 0.00 0.13 0.00 -0.05 54 6.0178 0.00 0.16 0.00 0.26 55 6.0178 0.00 -0.05 0.00 -0.06 56 6.0179 0.00 -0.03 0.00 0.06 57 6.0179 0.00 -0.03 0.00 0.14 58 6.0533 0.00 -0.09 0.00 0.05 59 6.0534 0.00 0.17 0.00 0.00 60 6.0534 0.00 -0.24 0.00 0.15 61 6.0944 0.00 -0.02 0.00 -0.14 62 6.0998 0.00 0.16 0.00 0.12 63 6.0998 0.00 -0.05 0.00 0.07 64 6.0998 0.00 -0.05 0.00 0.03 65 6.0999 0.00 -0.01 0.00 -0.10 66 6.1299 0.00 -0.13 0.00 -0.11 67 6.1300 0.00 -0.04 0.00 0.15 68 6.1326 0.00 0.03 0.00 0.02 69 6.1326 0.00 0.05 0.00 0.01 70 6.1326 0.00 -0.09 0.00 0.00 71 6.1327 0.00 0.27 0.00 -0.15 72 6.1354 0.00 -0.01 0.00 0.07 73 6.1354 0.00 0.24 0.00 -0.22 74 6.1355 0.00 -0.01 0.00 -0.20 75 6.1355 0.00 -0.01 0.00 -0.06 76 6.2091 0.00 -0.02 0.00 -0.15 77 6.3347 0.00 -0.07 0.00 -0.15 78 6.3347 0.00 -0.08 0.00 0.03 79 6.3348 0.00 -0.21 0.00 0.01 80 6.3348 0.00 -0.12 0.00 -0.06 81 6.3348 0.00 0.19 0.00 0.19 82 6.3348 0.00 0.05 0.00 -0.10 83 6.3620 0.00 0.19 0.00 -0.36 84 6.3620 0.00 0.01 0.00 -0.07 85 6.3621 0.00 -0.01 0.00 -0.18 86 6.3621 0.00 0.05 0.00 -0.04 87 7.0938 0.00 -0.07 0.00 0.11 88 7.0938 0.00 0.04 0.00 0.18 89 7.0939 0.00 0.42 0.00 -0.13 90 7.2250 0.00 -0.10 0.00 0.02 91 7.3832 0.00 -0.05 0.00 -0.07 92 7.3832 0.00 -0.06 0.00 0.06 93 7.3832 0.00 0.01 0.00 -0.03 94 7.3833 0.00 -0.07 0.00 -0.05 95 8.2733 0.00 0.05 0.00 -0.05 96 8.2733 0.00 0.06 0.00 -0.12 97 8.2733 0.00 0.19 0.00 0.18 98 8.2734 0.00 0.09 0.00 0.09 99 8.4317 0.00 0.12 0.00 -0.08 100 10.3210 0.00 -0.08 0.00 0.24 101 10.3211 0.00 0.13 0.00 0.10 102 10.3211 0.00 -0.06 0.00 0.14
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.
15KG178 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.129 39.129 39.129 ecceobj 0.273 0.273 0.273 incobj 27.527 27.527 27.527 qmin 26.983 26.983 26.983 qmax 52.503 52.504 52.502 amean 39.453 39.453 39.453 amin 39.079 39.077 39.082 amax 39.936 39.936 39.935 emean 0.265 0.265 0.265 emin 0.208 0.208 0.208 emax 0.315 0.315 0.315 imean 26.606 26.607 26.606 imin 25.104 25.104 25.104 imax 28.003 28.003 28.003 excite_mean 0.521 0.521 0.521 fracstop 1.000 1.000 1.000 cjmean 2.736 2.736 2.736 libcent 0 179.7 179.6 179.8 libamp 0 45.2 45.1 45.3 libcent 1 179.2 178.9 179.6 libamp 1 128.7 128.8 128.6 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 89.5 89.5 89.5 kozaiamp 31.5 31.5 31.5