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: 20KQ11 # Created Sun Dec 22 02:11:11 2024 # Orbit generated from Bernstein formalism # Fitting 39 observations of 39 # Arc: 3.11y # First observation: 2018/06/16 # Last observation: 2021/07/27 Preliminary a, adot, b, bdot, g, gdot: 0.000007 0.018245 -0.000000 -0.000489 0.021006 0.000000 # Chi-squared of fit: 5.63 DOF: 72 RMS: 0.07 # Min/Max residuals: -0.15 0.23 # Exact a, adot, b, bdot, g, gdot: 1.343845E-05 1.836514E-02 -9.008141E-08 -4.926029E-04 2.121265E-02 1.544129E-03 # Covariance matrix: 7.5971E-14 -5.2129E-14 -3.4184E-17 5.2202E-16 -1.2493E-14 -4.3960E-13 -5.2129E-14 6.6671E-13 1.0645E-15 -1.7195E-14 7.2957E-13 1.5271E-11 -3.4184E-17 1.0645E-15 7.5217E-14 -3.4925E-14 1.0908E-15 2.6083E-14 5.2202E-16 -1.7195E-14 -3.4925E-14 3.3066E-14 -1.8389E-14 -4.1876E-13 -1.2493E-14 7.2957E-13 1.0908E-15 -1.8389E-14 1.0264E-12 1.6944E-11 -4.3960E-13 1.5271E-11 2.6083E-14 -4.1876E-13 1.6944E-11 3.6986E-10 # lat0 lon0 xBary yBary zBary JD0 3.018738 -75.838162 0.335661 0.050165 -0.950195 2458285.658655 # Heliocentric elements and errors Epoch: 2458280.5000 = 2018/06/11 Mean Anomaly: 129.02544 +/- 0.372 Argument of Peri: 339.22110 +/- 0.366 Long of Asc Node: 166.60035 +/- 0.009 Inclination: 3.32446 +/- 0.000 Eccentricity: 0.10845779 +/- 0.0007 Semi-Major Axis: 44.75538816 +/- 0.0051 Time of Perihelion: 2419084.7238 +/- 112.7 Perihelion: 39.90131757 +/- 0.0297 Aphelion: 49.60945876 +/- 0.0299 Period (y) 299.4168 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.42497840 +/- 0.0006 Ecliptic Y -46.65699257 +/- 0.0022 Ecliptic Z 2.48263529 +/- 0.0001 Ecliptic XDOT 0.00235483 +/- 0.0000 Ecliptic YDOT 0.00037990 +/- 0.0000 Ecliptic ZDOT -0.00005317 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.09956928 +/- 0.0021 Geocenter to KBO 47.14169008 +/- 0.0023 # Hcoef: 6.51
The following table shows the complete astrometric record for 20KQ11. 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 (20KQ11) followed by the observatory code and reference code for the source of the astrometry.
2018 06 16.157854 19 00 09.49 -19 41 03.2 20KQ11 W84 C~5fvE 2018 06 16.161672 19 00 09.47 -19 41 03.2 20KQ11 W84 C~5fvE 2018 06 16.165480 19 00 09.46 -19 41 03.2 20KQ11 W84 C~5fvE 2018 06 16.367525 19 00 08.60 -19 41 04.2 20KQ11 W84 C~5fvE 2018 06 16.371337 19 00 08.58 -19 41 04.3 20KQ11 W84 C~5fvE 2018 06 16.375138 19 00 08.56 -19 41 04.3 20KQ11 W84 C~5fvE 2018 06 17.108343 19 00 05.50 -19 41 08.0 23.5V 20KQ11 W84 C~5fvE 2018 06 17.112154 19 00 05.49 -19 41 08.1 23.5V 20KQ11 W84 C~5fvE 2018 06 17.115982 19 00 05.46 -19 41 08.1 23.5V 20KQ11 W84 C~5fvE 2018 06 17.188317 19 00 05.16 -19 41 08.5 20KQ11 W84 C~5fvE 2018 06 17.192135 19 00 05.13 -19 41 08.5 20KQ11 W84 C~5fvE 2018 06 18.142010 19 00 01.11 -19 41 13.5 20KQ11 W84 C~5fvE 2018 06 18.145810 19 00 01.10 -19 41 13.3 20KQ11 W84 C~5fvE 2018 06 18.218337 19 00 00.78 -19 41 13.9 23.6V 20KQ11 W84 C~5fvE 2018 06 18.222139 19 00 00.77 -19 41 13.9 20KQ11 W84 C~5fvE 2018 06 18.225941 19 00 00.75 -19 41 13.8 20KQ11 W84 C~5fvE 2018 06 18.412872 18 59 59.96 -19 41 14.8 20KQ11 W84 C~5fvE 2018 06 18.416686 18 59 59.93 -19 41 14.8 20KQ11 W84 C~5fvE 2018 06 18.420493 18 59 59.91 -19 41 15.0 20KQ11 W84 C~5fvE 2019 08 22.100735 19 00 05.35 -19 44 03.6 23.7g 20KQ11 W84 C~5fvE 2020 05 29.44698 19 10 08.650 -19 29 11.63 23.1r 20KQ11 266 C~6VL7 2020 05 29.53371 19 10 08.355 -19 29 11.95 23.1r 20KQ11 266 C~5Zeg 2020 05 29.61905 19 10 08.064 -19 29 12.25 23.1r 20KQ11 266 C~5Zeg 2020 05 31.44139 19 10 01.899 -19 29 19.07 23.3r 20KQ11 266 C~5Zeg 2020 05 31.52961 19 10 01.589 -19 29 19.43 23.3r 20KQ11 266 C~5Zeg 2020 05 31.61814 19 10 01.277 -19 29 19.76 23.3r 20KQ11 266 C~6VL7 2020 06 21.45390 19 08 39.940 -19 31 08.11 23.2r 20KQ11 266 C~6VL7 2020 06 21.53376 19 08 39.594 -19 31 08.62 23.2r 20KQ11 266 C~5Zeg 2020 06 21.61261 19 08 39.252 -19 31 09.11 23.2r 20KQ11 266 C~5Zeg 2020 06 24.447 19 08 27.069 -19 31 27.53 23.3R 20KQ11 266 C~4Al3 2020 06 24.480 19 08 26.927 -19 31 27.75 23.3R 20KQ11 266 C~4Al3 2020 08 12.26680 19 05 01.316 -19 37 50.95 23.3r 20KQ11 266 C~6VL7 2020 08 12.34843 19 05 01.023 -19 37 51.61 23.3r 20KQ11 266 C~5Zeg 2020 08 12.42950 19 05 00.733 -19 37 52.25 23.3r 20KQ11 266 C~5Zeg 2020 08 14.24286 19 04 54.481 -19 38 06.80 23.1r 20KQ11 266 C~5Zeg 2020 08 14.33285 19 04 54.168 -19 38 07.53 23.1r 20KQ11 266 C~5Zeg 2020 08 14.42134 19 04 53.860 -19 38 08.22 23.1r 20KQ11 266 C~6VL7 2021 04 23.297756 19 15 46.76 -19 22 44.1 23.1i 20KQ11 W84 C~5fvE 2021 07 27.239181 19 10 30.70 -19 30 01.8 20KQ11 W84 C~5fvE
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 0.05 0.00 -0.06 2 0.0000 -0.28 0.00 0.03 -0.03 3 0.0000 -0.42 0.09 0.04 -0.02 4 0.0006 -12.61 0.10 0.30 0.01 5 0.0006 -12.90 0.04 0.23 -0.07 6 0.0006 -13.18 -0.01 0.26 -0.04 7 0.0026 -56.55 0.09 1.05 0.02 8 0.0026 -56.70 0.17 0.96 -0.07 9 0.0026 -57.12 -0.02 1.01 -0.02 10 0.0028 -61.37 0.11 1.05 -0.05 11 0.0028 -61.80 -0.08 1.09 -0.01 12 0.0054 -118.78 -0.13 1.98 -0.02 13 0.0054 -118.90 -0.02 2.19 0.19 14 0.0056 -123.46 -0.15 2.06 -0.01 15 0.0057 -123.60 -0.05 2.07 0.00 16 0.0057 -123.87 -0.09 2.20 0.13 17 0.0062 -135.07 0.13 2.36 0.07 18 0.0062 -135.49 -0.06 2.40 0.11 19 0.0062 -135.80 -0.13 2.23 -0.06 20 1.1826 -76.79 0.03 -173.40 0.08 21 1.9529 8498.89 -0.01 -229.73 -0.03 22 1.9531 8494.70 -0.01 -229.55 -0.03 23 1.9534 8490.57 -0.00 -229.37 -0.03 24 1.9583 8403.05 -0.00 -225.87 -0.02 25 1.9586 8398.65 -0.01 -225.71 -0.03 26 1.9588 8394.22 -0.01 -225.51 -0.02 27 2.0159 7237.73 0.00 -198.85 -0.02 28 2.0161 7232.80 0.01 -198.79 -0.02 29 2.0163 7227.94 0.01 -198.71 -0.02 30 2.0241 7054.51 -0.01 -197.10 0.04 31 2.0242 7052.49 0.04 -197.09 0.04 32 2.1577 4119.74 0.00 -249.61 -0.04 33 2.1579 4115.56 -0.00 -249.81 -0.03 34 2.1582 4111.41 -0.00 -249.99 -0.03 35 2.1631 4021.98 -0.01 -254.70 -0.07 36 2.1634 4017.50 -0.01 -254.94 -0.07 37 2.1636 4013.10 -0.02 -255.15 -0.07 38 2.8532 13306.79 0.01 -428.82 0.23 39 3.1132 8803.10 0.01 -316.47 0.07
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.
20KQ11 quality flag:3 Type: 9:5EEEE 9:5EEEE 9:5EEEE axisobj 44.317 44.332 44.303 ecceobj 0.111 0.112 0.110 incobj 3.320 3.320 3.320 qmin 38.979 38.954 38.979 qmax 50.493 50.503 50.504 amean 44.555 44.555 44.555 amin 44.186 44.183 44.183 amax 44.952 44.970 44.965 emean 0.112 0.112 0.112 emin 0.101 0.100 0.100 emax 0.123 0.123 0.123 imean 3.369 3.391 3.375 imin 2.693 2.770 2.765 imax 4.106 4.120 4.093 excite_mean 0.127 0.127 0.126 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 libcent 0 184.1 183.6 180.9 libamp 0 57.3 72.8 72.7 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 161.2 153.1 156.0 kozaiamp 180.0 180.0 180.0