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: 20KR11 # Created Sun Nov 24 02:11:02 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 77 # Arc: 161.83d # First observation: 2020/05/30 # Last observation: 2020/11/08 # Chi-squared of fit: 6.35 DOF: 56 RMS: 0.08 # Min/Max residuals: -0.19 0.22 # Exact a, adot, b, bdot, g, gdot: 1.353583E-05 1.719025E-02 -1.300107E-06 -1.628851E-03 2.028101E-02 2.097420E-04 # Covariance matrix: 1.0244E-13 -3.3500E-14 -1.1883E-14 5.8643E-14 6.2797E-14 -9.5906E-14 -3.3500E-14 1.3543E-12 -1.5856E-13 7.4360E-13 3.6538E-13 2.0425E-13 -1.1883E-14 -1.5856E-13 7.7428E-14 -1.9705E-13 -5.2342E-14 -1.8592E-14 5.8643E-14 7.4360E-13 -1.9705E-13 6.4160E-13 2.4841E-13 7.9987E-14 6.2797E-14 3.6538E-13 -5.2342E-14 2.4841E-13 1.5631E-13 -4.4676E-14 -9.5906E-14 2.0425E-13 -1.8592E-14 7.9987E-14 -4.4676E-14 2.9880E-13 # lat0 lon0 xBary yBary zBary JD0 2.445669 -72.152940 0.635795 0.033310 -0.782896 2458999.940151 # Heliocentric elements and errors Epoch: 2459000.5000 = 2020/05/31 Mean Anomaly: 180.66935 +/- 0.004 Argument of Peri: 335.21981 +/- 0.000 Long of Asc Node: 131.21210 +/- 0.000 Inclination: 5.87962 +/- 0.000 Eccentricity: 0.07293567 +/- 0.0001 Semi-Major Axis: 46.69668694 +/- 0.0000 Time of Perihelion: 2517060.8356 +/- 1.3 Perihelion: 43.29083267 +/- 0.0068 Aphelion: 50.10254121 +/- 0.0068 Period (y) 319.1077 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 14.73840547 +/- 0.0000 Ecliptic Y -47.83928208 +/- 0.0001 Ecliptic Z 2.10404470 +/- 0.0000 Ecliptic XDOT 0.00222860 +/- 0.0000 Ecliptic YDOT 0.00067892 +/- 0.0000 Ecliptic ZDOT -0.00021871 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.10234089 +/- 0.0001 Geocenter to KBO 49.30722479 +/- 0.0001 # Hcoef: 4.43
The following table shows the complete astrometric record for 20KR11. 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 (20KR11) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 15 58.831 -19 49 28.07 24.2r 20KR11 266 C~6VL7 2020 05 30.53044 19 15 58.533 -19 49 28.53 24.2r 20KR11 266 C~5Zeg 2020 05 30.61862 19 15 58.245 -19 49 28.96 24.2r 20KR11 266 C~5Zeg 2020 06 01.43269 19 15 52.366 -19 49 38.05 24.4r 20KR11 266 C~6VL7 2020 06 01.47325 19 15 52.230 -19 49 38.26 24.4r 20KR11 266 C~5Zeg 2020 06 01.60571 19 15 51.783 -19 49 38.95 24.4r 20KR11 266 C~5Zeg 2020 06 20.45583 19 14 41.765 -19 51 37.81 24.4r 20KR11 266 C~5Zeg 2020 06 20.52860 19 14 41.465 -19 51 38.34 24.4r 20KR11 266 C~5Zeg 2020 06 20.62233 19 14 41.079 -19 51 39.01 24.4r 20KR11 266 C~6VL7 2020 06 22.44948 19 14 33.635 -19 51 52.48 24.3r 20KR11 266 C~6VL7 2020 06 22.52092 19 14 33.336 -19 51 53.02 24.3r 20KR11 266 C~6VL7 2020 06 22.59118 19 14 33.043 -19 51 53.53 24.3r 20KR11 266 C~6VL7 2020 06 25.44823 19 14 21.227 -19 52 15.29 24.4r 20KR11 266 C~5Zeg 2020 06 25.53072 19 14 20.877 -19 52 15.92 24.4r 20KR11 266 C~5Zeg 2020 06 25.61487 19 14 20.521 -19 52 16.56 24.4r 20KR11 266 C~6VL7 2020 08 13.24332 19 11 02.453 -19 59 17.49 24.3r 20KR11 266 C~6VL7 2020 08 13.33331 19 11 02.140 -19 59 18.26 24.3r 20KR11 266 C~5Zeg 2020 08 13.42301 19 11 01.828 -19 59 19.02 24.3r 20KR11 266 C~5Zeg 2020 08 15.24331 19 10 55.719 -19 59 34.23 23.7r 20KR11 266 C~6VL7 2020 08 15.33985 19 10 55.393 -19 59 35.05 23.7r 20KR11 266 C~5Zeg 2020 08 15.42111 19 10 55.118 -19 59 35.73 23.7r 20KR11 266 C~5Zeg 2020 11 02.223192 19 10 19.927 -20 05 17.84 20KR11 250 S~5zHA 2020 11 02.229512 19 10 19.938 -20 05 17.82 20KR11 250 S~5zHA 2020 11 02.235831 19 10 19.948 -20 05 17.77 20KR11 250 S~5zHA 2020 11 02.242150 19 10 19.961 -20 05 17.70 20KR11 250 S~5zHA 2020 11 02.248470 19 10 19.976 -20 05 17.62 20KR11 250 S~5zHA 2020 11 08.246421 19 10 37.897 -20 05 08.08 20KR11 250 S~5zHA 2020 11 08.252741 19 10 37.913 -20 05 08.02 20KR11 250 S~5zHA 2020 11 08.259060 19 10 37.925 -20 05 07.97 20KR11 250 S~5zHA 2020 11 08.265379 19 10 37.940 -20 05 07.90 20KR11 250 S~5zHA 2020 11 08.271699 19 10 37.957 -20 05 07.85 20KR11 250 S~5zHA 2020 12 30.093922 21 07 41.54 +02 22 25.7 17.8r 20KR11 C54 S~5zHA 2020 12 30.094269 21 07 41.65 +02 22 26.5 20KR11 C54 S~5zHA 2020 12 30.094617 21 07 41.59 +02 22 26.8 20KR11 C54 S~5zHA 2020 12 30.189339 21 07 47.06 +02 23 15.9 17.7r 20KR11 C54 S~5zHA 2020 12 30.189686 21 07 47.03 +02 23 16.8 20KR11 C54 S~5zHA 2020 12 30.190033 21 07 47.04 +02 23 16.3 20KR11 C54 S~5zHA 2020 12 30.284755 21 07 52.43 +02 24 05.0 17.9r 20KR11 C54 S~5zHA 2020 12 30.285103 21 07 52.52 +02 24 05.2 20KR11 C54 S~5zHA 2020 12 30.285450 21 07 52.53 +02 24 05.7 20KR11 C54 S~5zHA 2020 12 30.380172 21 07 57.94 +02 24 54.9 17.6r 20KR11 C54 S~5zHA 2020 12 30.380519 21 07 57.97 +02 24 54.2 20KR11 C54 S~5zHA 2020 12 30.380867 21 07 58.02 +02 24 54.0 20KR11 C54 S~5zHA 2020 12 30.475589 21 08 03.42 +02 25 45.0 17.6r 20KR11 C54 S~5zHA 2020 12 30.475936 21 08 03.47 +02 25 44.8 20KR11 C54 S~5zHA 2020 12 30.476283 21 08 03.48 +02 25 43.7 20KR11 C54 S~5zHA 2020 12 30.571353 21 08 08.95 +02 26 33.0 17.7r 20KR11 C54 S~5zHA 2020 12 30.571700 21 08 08.90 +02 26 33.9 20KR11 C54 S~5zHA 2020 12 30.666422 21 08 14.45 +02 27 22.7 17.7r 20KR11 C54 S~5zHA 2020 12 30.666769 21 08 14.41 +02 27 22.1 20KR11 C54 S~5zHA 2020 12 30.667117 21 08 14.46 +02 27 22.3 20KR11 C54 S~5zHA 2020 12 30.761839 21 08 19.84 +02 28 12.6 17.8r 20KR11 C54 S~5zHA 2020 12 30.762186 21 08 19.83 +02 28 14.0 20KR11 C54 S~5zHA 2020 12 30.762533 21 08 19.86 +02 28 14.1 20KR11 C54 S~5zHA 2020 12 30.857255 21 08 25.31 +02 29 02.9 17.6r 20KR11 C54 S~5zHA 2020 12 30.857603 21 08 25.31 +02 29 02.6 20KR11 C54 S~5zHA 2020 12 30.857950 21 08 25.36 +02 29 02.9 20KR11 C54 S~5zHA 2020 12 30.952672 21 08 30.82 +02 29 52.0 17.7r 20KR11 C54 S~5zHA 2020 12 30.953019 21 08 30.93 +02 29 53.1 20KR11 C54 S~5zHA 2020 12 30.953367 21 08 30.82 +02 29 52.7 20KR11 C54 S~5zHA 2020 12 31.048089 21 08 36.27 +02 30 41.7 17.5r 20KR11 C54 S~5zHA 2020 12 31.048436 21 08 36.27 +02 30 41.5 20KR11 C54 S~5zHA 2020 12 31.048783 21 08 36.33 +02 30 41.9 20KR11 C54 S~5zHA 2020 12 31.143505 21 08 41.74 +02 31 32.7 17.7r 20KR11 C54 S~5zHA 2020 12 31.143853 21 08 41.82 +02 31 32.8 20KR11 C54 S~5zHA 2020 12 31.144200 21 08 41.82 +02 31 31.9 20KR11 C54 S~5zHA 2020 12 31.334339 21 08 52.86 +02 33 12.7 17.4r 20KR11 C54 S~5zHA 2020 12 31.334686 21 08 52.82 +02 33 13.4 20KR11 C54 S~5zHA 2020 12 31.335033 21 08 52.81 +02 33 13.4 20KR11 C54 S~5zHA 2020 12 31.525519 21 09 03.80 +02 34 52.4 17.6r 20KR11 C54 S~5zHA 2020 12 31.525867 21 09 03.90 +02 34 52.0 20KR11 C54 S~5zHA 2020 12 31.620589 21 09 09.31 +02 35 41.4 17.7r 20KR11 C54 S~5zHA 2020 12 31.620936 21 09 09.43 +02 35 42.7 20KR11 C54 S~5zHA 2020 12 31.621283 21 09 09.42 +02 35 42.2 20KR11 C54 S~5zHA 2020 12 31.716005 21 09 14.87 +02 36 32.2 17.7r 20KR11 C54 S~5zHA 2020 12 31.716353 21 09 14.92 +02 36 31.5 20KR11 C54 S~5zHB 2020 12 31.716700 21 09 14.87 +02 36 32.8 20KR11 C54 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 -0.03 0.00 0.00 2 0.0002 0.00 -0.04 0.00 -0.00 3 0.0005 0.00 -0.04 0.00 -0.00 4 0.0055 0.00 -0.02 0.00 0.03 5 0.0056 0.00 -0.02 0.00 0.03 6 0.0059 0.00 -0.02 0.00 0.03 7 0.0575 0.00 -0.02 0.00 -0.08 8 0.0577 0.00 -0.02 0.00 -0.08 9 0.0580 0.00 -0.02 0.00 -0.08 10 0.0630 0.00 -0.01 0.00 -0.01 11 0.0632 0.00 -0.02 0.00 -0.01 12 0.0634 0.00 -0.01 0.00 -0.01 13 0.0712 0.00 -0.01 0.00 0.01 14 0.0714 0.00 -0.01 0.00 0.01 15 0.0717 0.00 -0.01 0.00 0.01 16 0.2048 0.00 0.01 0.00 0.01 17 0.2050 0.00 0.02 0.00 0.01 18 0.2053 0.00 0.02 0.00 0.01 19 0.2103 0.00 -0.08 0.00 0.22 20 0.2105 0.00 -0.07 0.00 0.22 21 0.2108 0.00 -0.08 0.00 0.21 22 0.4265 0.00 0.13 0.00 -0.10 23 0.4265 0.00 0.03 0.00 -0.09 24 0.4265 0.00 -0.08 0.00 -0.05 25 0.4266 0.00 -0.14 0.00 0.01 26 0.4266 0.00 -0.18 0.00 0.09 27 0.4430 0.00 0.13 0.00 -0.08 28 0.4430 0.00 0.07 0.00 -0.03 29 0.4430 0.00 -0.06 0.00 0.00 30 0.4431 0.00 -0.14 0.00 0.06 31 0.4431 0.00 -0.19 0.00 0.10 32 0.5850 0.00 (*******) 0.00 (*******) 33 0.5850 0.00 (*******) 0.00 (*******) 34 0.5850 0.00 (*******) 0.00 (*******) 35 0.5852 0.00 (*******) 0.00 (*******) 36 0.5852 0.00 (*******) 0.00 (*******) 37 0.5852 0.00 (*******) 0.00 (*******) 38 0.5855 0.00 (*******) 0.00 (*******) 39 0.5855 0.00 (*******) 0.00 (*******) 40 0.5855 0.00 (*******) 0.00 (*******) 41 0.5857 0.00 (*******) 0.00 (*******) 42 0.5857 0.00 (*******) 0.00 (*******) 43 0.5857 0.00 (*******) 0.00 (*******) 44 0.5860 0.00 (*******) 0.00 (*******) 45 0.5860 0.00 (*******) 0.00 (*******) 46 0.5860 0.00 (*******) 0.00 (*******) 47 0.5863 0.00 (*******) 0.00 (*******) 48 0.5863 0.00 (*******) 0.00 (*******) 49 0.5865 0.00 (*******) 0.00 (*******) 50 0.5865 0.00 (*******) 0.00 (*******) 51 0.5865 0.00 (*******) 0.00 (*******) 52 0.5868 0.00 (*******) 0.00 (*******) 53 0.5868 0.00 (*******) 0.00 (*******) 54 0.5868 0.00 (*******) 0.00 (*******) 55 0.5870 0.00 (*******) 0.00 (*******) 56 0.5870 0.00 (*******) 0.00 (*******) 57 0.5870 0.00 (*******) 0.00 (*******) 58 0.5873 0.00 (*******) 0.00 (*******) 59 0.5873 0.00 (*******) 0.00 (*******) 60 0.5873 0.00 (*******) 0.00 (*******) 61 0.5876 0.00 (*******) 0.00 (*******) 62 0.5876 0.00 (*******) 0.00 (*******) 63 0.5876 0.00 (*******) 0.00 (*******) 64 0.5878 0.00 (*******) 0.00 (*******) 65 0.5878 0.00 (*******) 0.00 (*******) 66 0.5878 0.00 (*******) 0.00 (*******) 67 0.5884 0.00 (*******) 0.00 (*******) 68 0.5884 0.00 (*******) 0.00 (*******) 69 0.5884 0.00 (*******) 0.00 (*******) 70 0.5889 0.00 (*******) 0.00 (*******) 71 0.5889 0.00 (*******) 0.00 (*******) 72 0.5891 0.00 (*******) 0.00 (*******) 73 0.5891 0.00 (*******) 0.00 (*******) 74 0.5891 0.00 (*******) 0.00 (*******) 75 0.5894 0.00 (*******) 0.00 (*******) 76 0.5894 0.00 (*******) 0.00 (*******) 77 0.5894 0.00 (*******) 0.00 (*******)
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.
20KR11 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.175 46.175 46.175 ecceobj 0.084 0.084 0.084 incobj 5.891 5.891 5.891 qmin 41.694 41.692 41.695 qmax 51.339 51.386 51.322 amean 46.393 46.394 46.393 amin 46.020 46.018 46.023 amax 46.788 46.797 46.785 emean 0.085 0.085 0.085 emin 0.073 0.073 0.073 emax 0.097 0.098 0.097 imean 4.660 4.660 4.660 imin 4.284 4.284 4.284 imax 5.026 5.026 5.026 excite_mean 0.118 0.118 0.118 fracstop 1.000 1.000 1.000 cjmean 3.114 3.114 3.114 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -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 173.3 173.3 173.2 kozaiamp 180.0 180.0 180.0