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: 20KS11 # Created Sun Dec 22 02:11:11 2024 # Orbit generated from Bernstein formalism # Fitting 32 observations of 32 # Arc: 2.17y # First observation: 2020/05/29 # Last observation: 2022/07/29 Preliminary a, adot, b, bdot, g, gdot: -0.000076 0.014297 0.000000 -0.000316 0.017407 0.000000 # Chi-squared of fit: 5.60 DOF: 58 RMS: 0.07 # Min/Max residuals: -0.16 0.15 # Exact a, adot, b, bdot, g, gdot: 1.300704E-05 1.448241E-02 -7.115982E-08 -3.210737E-04 1.761306E-02 9.664711E-03 # Covariance matrix: 1.7286E-13 7.8410E-14 -2.1061E-16 -3.2875E-15 2.0670E-13 5.5214E-12 7.8410E-14 4.5071E-13 3.9048E-17 -1.0940E-14 3.9893E-13 1.8218E-11 -2.1061E-16 3.9048E-17 8.6972E-14 -4.7887E-14 -3.4777E-16 3.3713E-15 -3.2875E-15 -1.0940E-14 -4.7887E-14 5.7041E-14 -1.0697E-14 -5.0742E-13 2.0670E-13 3.9893E-13 -3.4777E-16 -1.0697E-14 5.4075E-13 1.7894E-11 5.5214E-12 1.8218E-11 3.3713E-15 -5.0742E-13 1.7894E-11 8.4466E-10 # lat0 lon0 xBary yBary zBary JD0 2.409091 -73.477339 0.630714 0.032980 -0.786959 2458998.947781 # Heliocentric elements and errors Epoch: 2458990.5000 = 2020/05/21 Mean Anomaly: 20.46804 +/- 0.142 Argument of Peri: 27.78175 +/- 0.019 Long of Asc Node: 168.84019 +/- 0.018 Inclination: 2.66731 +/- 0.000 Eccentricity: 0.65413378 +/- 0.0020 Semi-Major Axis: 101.49634715 +/- 0.4578 Time of Perihelion: 2437755.7170 +/- 31.7 Perihelion: 35.10415832 +/- 0.2554 Aphelion: 167.88853597 +/- 0.7833 Period (y) 1022.5483 +/- 6.92 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 15.75759511 +/- 0.0007 Ecliptic Y -55.32481908 +/- 0.0023 Ecliptic Z 2.38660120 +/- 0.0001 Ecliptic XDOT 0.00259384 +/- 0.0000 Ecliptic YDOT -0.00079725 +/- 0.0000 Ecliptic ZDOT 0.00001305 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 57.57458880 +/- 0.0022 Geocenter to KBO 56.77604223 +/- 0.0024 # Hcoef: 9.04
The following table shows the complete astrometric record for 20KS11. 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 (20KS11) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 10 24.855 -20 01 34.19 26.4r 20KS11 266 C~6VL7 2020 05 29.53371 19 10 24.605 -20 01 34.49 26.4r 20KS11 266 C~5Zeg 2020 05 29.61905 19 10 24.359 -20 01 34.77 26.4r 20KS11 266 C~5Zeg 2020 05 31.44139 19 10 19.148 -20 01 41.23 26.7r 20KS11 266 C~6VL7 2020 05 31.52961 19 10 18.886 -20 01 41.55 26.7r 20KS11 266 C~5Zeg 2020 05 31.61814 19 10 18.623 -20 01 41.86 26.7r 20KS11 266 C~5Zeg 2020 06 21.45390 19 09 09.962 -20 03 17.60 26.3r 20KS11 266 C~6VL7 2020 06 21.53376 19 09 09.669 -20 03 18.04 26.3r 20KS11 266 C~5Zeg 2020 06 21.61261 19 09 09.381 -20 03 18.46 26.3r 20KS11 266 C~5Zeg 2020 06 24.43648 19 08 59.149 -20 03 34.30 26.8r 20KS11 266 C~5Zeg 2020 06 24.52739 19 08 58.811 -20 03 34.82 26.8r 20KS11 266 C~5Zeg 2020 06 24.61708 19 08 58.479 -20 03 35.31 26.8r 20KS11 266 C~6VL7 2020 08 12.26680 19 06 05.580 -20 08 50.84 26.4r 20KS11 266 C~6VL7 2020 08 12.34843 19 06 05.333 -20 08 51.37 26.4r 20KS11 266 C~5Zeg 2020 08 12.42950 19 06 05.088 -20 08 51.88 26.4r 20KS11 266 C~5Zeg 2020 08 14.24286 19 05 59.799 -20 09 03.35 26.8r 20KS11 266 C~5Zeg 2020 08 14.33285 19 05 59.534 -20 09 03.93 26.8r 20KS11 266 C~5Zeg 2020 08 14.42134 19 05 59.274 -20 09 04.48 26.8r 20KS11 266 C~6VL7 2021 08 30.129275 19 08 52.600 -20 05 55.04 20KS11 250 S~5zHB 2021 08 30.135421 19 08 52.584 -20 05 55.11 20KS11 250 S~5zHB 2021 08 30.147713 19 08 52.548 -20 05 55.27 20KS11 250 S~5zHB 2021 08 30.153858 19 08 52.531 -20 05 55.32 20KS11 250 S~5zHB 2022 05 31.684689 19 17 15.072 -19 51 30.98 20KS11 250 S~5zHB 2022 05 31.690604 19 17 15.052 -19 51 31.07 20KS11 250 S~5zHB 2022 05 31.696784 19 17 15.029 -19 51 31.13 20KS11 250 S~5zHB 2022 05 31.702745 19 17 15.007 -19 51 31.21 20KS11 250 S~5zHB 2022 05 31.708705 19 17 14.986 -19 51 31.23 20KS11 250 S~5zHB 2022 07 29.622700 19 13 51.266 -19 57 31.09 20KS11 250 S~5zHB 2022 07 29.628615 19 13 51.242 -19 57 31.19 20KS11 250 S~5zHB 2022 07 29.634795 19 13 51.214 -19 57 31.30 20KS11 250 S~5zHB 2022 07 29.640756 19 13 51.187 -19 57 31.36 20KS11 250 S~5zHB 2022 07 29.646717 19 13 51.163 -19 57 31.39 20KS11 250 S~5zHB
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 -0.00 0.00 -0.04 2 0.0002 -3.53 -0.00 0.13 -0.04 3 0.0005 -7.01 0.00 0.27 -0.04 4 0.0055 -80.69 0.04 2.69 -0.16 5 0.0057 -84.40 0.04 2.82 -0.16 6 0.0059 -88.11 0.05 2.95 -0.16 7 0.0630 -1060.18 -0.00 23.43 0.07 8 0.0632 -1064.33 -0.01 23.48 0.07 9 0.0634 -1068.41 -0.01 23.54 0.07 10 0.0712 -1213.45 -0.05 24.89 0.06 11 0.0714 -1218.24 -0.06 24.93 0.05 12 0.0716 -1222.94 -0.05 25.00 0.06 13 0.2048 -3678.95 -0.03 -5.58 -0.01 14 0.2051 -3682.47 -0.02 -5.71 -0.02 15 0.2053 -3685.95 -0.01 -5.83 -0.01 16 0.2103 -3761.28 0.04 -8.74 0.09 17 0.2105 -3765.05 0.04 -8.89 0.09 18 0.2107 -3768.75 0.04 -9.02 0.09 19 1.2531 -1321.70 0.13 -103.96 0.08 20 1.2531 -1321.94 0.09 -104.01 0.05 21 1.2531 -1322.46 -0.07 -104.11 -0.02 22 1.2531 -1322.70 -0.13 -104.13 -0.03 23 2.0048 5815.77 0.15 -127.30 0.09 24 2.0048 5815.48 0.09 -127.35 0.03 25 2.0048 5815.15 0.01 -127.37 0.01 26 2.0048 5814.83 -0.08 -127.41 -0.04 27 2.0048 5814.53 -0.14 -127.39 -0.03 28 2.1661 2917.59 0.15 -116.50 0.05 29 2.1661 2917.24 0.09 -116.56 -0.01 30 2.1662 2916.83 -0.01 -116.61 -0.06 31 2.1662 2916.45 -0.11 -116.63 -0.06 32 2.1662 2916.11 -0.15 -116.61 -0.05
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.
20KS11 quality flag:2 Type: 6:1EEEEE SCATNEAR SCATNEAR axisobj 98.507 99.678 97.373 ecceobj 0.646 0.652 0.641 incobj 2.667 2.667 2.667 qmin 33.940 33.783 34.010 qmax 171.112 209.766 170.645 amean 99.424 109.140 97.285 amin 97.123 99.176 92.390 amax 103.001 122.278 102.804 emean 0.649 0.680 0.640 emin 0.638 0.645 0.620 emax 0.661 0.715 0.660 imean 2.371 2.185 2.179 imin 2.271 1.885 1.796 imax 2.498 2.566 2.610 excite_mean 0.650 0.681 0.641 fracstop 1.000 1.000 1.000 cjmean 3.065 3.063 3.069 libcent 0 180.2 -180.0 -180.0 libamp 0 171.2 -180.0 -180.0 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 108.1 180.0 182.4 kozaiamp 81.9 179.9 180.0