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: 20KD53
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 1.28y
# First observation: 2020/05/26
# Last observation: 2021/09/05
Preliminary a, adot, b, bdot, g, gdot:
0.000024 0.037210 -0.000003 -0.010048 0.028942 0.000000
# Chi-squared of fit: 1.05 DOF: 42 RMS: 0.04
# Min/Max residuals: -0.07 0.07
# Exact a, adot, b, bdot, g, gdot:
2.010620E-05 3.680877E-02 -5.568964E-06 -9.981612E-03 2.860598E-02 -4.561739E-03
# Covariance matrix:
1.9235E-13 7.4582E-13 8.0491E-15 -2.8281E-13 6.8025E-13 2.3630E-11
7.4582E-13 8.4316E-12 8.3788E-14 -2.8789E-12 6.4136E-12 2.4047E-10
8.0491E-15 8.3788E-14 1.0391E-13 -1.2406E-13 6.1887E-14 2.5680E-12
-2.8281E-13 -2.8789E-12 -1.2406E-13 1.2441E-12 -2.1696E-12 -8.6745E-11
6.8025E-13 6.4136E-12 6.1887E-14 -2.1696E-12 5.1803E-12 1.8127E-10
2.3630E-11 2.4047E-10 2.5680E-12 -8.6745E-11 1.8127E-10 7.2440E-09
# lat0 lon0 xBary yBary zBary JD0
1.943155 -73.785762 0.665525 0.025584 -0.757849 2458995.943811
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 356.69063 +/- 0.049
Argument of Peri: 192.74207 +/- 0.301
Long of Asc Node: 112.13942 +/- 0.000
Inclination: 15.26061 +/- 0.001
Eccentricity: 0.64796074 +/- 0.0012
Semi-Major Axis: 99.09159364 +/- 0.2758
Time of Perihelion: 2462302.5476 +/- 46.8
Perihelion: 34.88413099 +/- 0.1547
Aphelion: 163.29905628 +/- 0.4702
Period (y) 986.4235 +/- 4.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.33398554 +/- 0.0008
Ecliptic Y -34.46876358 +/- 0.0027
Ecliptic Z 1.18522121 +/- 0.0001
Ecliptic XDOT 0.00327813 +/- 0.0000
Ecliptic YDOT 0.00137510 +/- 0.0000
Ecliptic ZDOT -0.00096982 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.72987123 +/- 0.0026
Geocenter to KBO 34.95772637 +/- 0.0028
# Hcoef: 9.98
The following table shows the complete astrometric record for 20KD53. 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 (20KD53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 09 20.812 -20 31 32.13 25.4r 20KD53 266 C~7ulo 2020 05 26.50149 19 09 20.583 -20 31 32.72 25.4r 20KD53 266 C~7ulo 2020 05 26.55599 19 09 20.370 -20 31 33.26 25.4r 20KD53 266 C~7ulo 2020 05 29.44698 19 09 09.006 -20 32 02.36 25.5r 20KD53 266 C~6VL9 2020 05 29.53371 19 09 08.647 -20 32 03.27 25.5r 20KD53 266 C~6VL9 2020 05 29.61905 19 09 08.292 -20 32 04.14 25.5r 20KD53 266 C~6VL9 2020 05 31.44139 19 09 00.788 -20 32 23.29 25.6r 20KD53 266 C~6VL9 2020 05 31.52961 19 09 00.409 -20 32 24.25 25.6r 20KD53 266 C~6VL9 2020 05 31.61814 19 09 00.028 -20 32 25.18 25.6r 20KD53 266 C~6VL9 2020 06 21.45390 19 07 19.386 -20 36 39.07 25.5r 20KD53 266 C~6VL9 2020 06 21.53376 19 07 18.952 -20 36 40.14 25.5r 20KD53 266 C~6VL9 2020 06 21.61261 19 07 18.525 -20 36 41.18 25.5r 20KD53 266 C~6VL9 2020 06 24.43648 19 07 03.363 -20 37 19.72 25.5r 20KD53 266 C~6VL9 2020 06 24.52739 19 07 02.861 -20 37 20.97 25.5r 20KD53 266 C~6VL9 2020 06 24.61708 19 07 02.368 -20 37 22.17 25.5r 20KD53 266 C~6VL9 2021 06 17.43604 19 17 03.714 -20 54 20.48 25.2r 20KD53 266 C~7ulo 2021 06 17.50052 19 17 03.379 -20 54 21.41 25.2r 20KD53 266 C~7ulo 2021 06 17.57952 19 17 02.970 -20 54 22.53 25.2r 20KD53 266 C~7ulo 2021 07 05.35105 19 15 27.220 -20 58 51.86 25.0r 20KD53 266 C~7ulo 2021 07 05.43950 19 15 26.716 -20 58 53.27 25.0r 20KD53 266 C~7ulo 2021 07 05.52516 19 15 26.229 -20 58 54.61 25.0r 20KD53 266 C~7ulo 2021 09 05.23104 19 10 44.710 -21 14 03.43 25.7r 20KD53 266 C~7ulo 2021 09 05.31313 19 10 44.508 -21 14 04.37 25.7r 20KD53 266 C~7ulo 2021 09 05.39640 19 10 44.305 -21 14 05.30 25.7r 20KD53 266 C~7ulo
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 0.01
2 0.0002 -3.26 0.04 -0.20 0.01
3 0.0003 -6.30 0.05 -0.39 0.01
4 0.0082 -168.26 -0.02 -10.37 0.03
5 0.0085 -173.37 -0.01 -10.68 0.03
6 0.0087 -178.43 -0.01 -10.95 0.04
7 0.0137 -285.36 -0.07 -17.51 0.03
8 0.0139 -290.76 -0.07 -17.84 0.03
9 0.0142 -296.18 -0.07 -18.13 0.03
10 0.0712 -1729.53 0.00 -105.21 -0.00
11 0.0714 -1735.71 0.00 -105.57 -0.00
12 0.0716 -1741.78 0.00 -105.91 -0.00
13 0.0794 -1957.69 0.03 -119.65 -0.06
14 0.0796 -1964.83 0.03 -120.08 -0.07
15 0.0799 -1971.85 0.04 -120.47 -0.06
16 1.0595 6275.86 0.03 -2166.96 -0.04
17 1.0597 6271.08 0.02 -2167.27 -0.04
18 1.0599 6265.24 0.03 -2167.63 -0.04
19 1.1086 4899.26 -0.02 -2261.27 -0.03
20 1.1088 4892.07 -0.03 -2261.76 -0.03
21 1.1091 4885.13 -0.02 -2262.22 -0.03
22 1.2780 862.10 -0.00 -2673.84 0.05
23 1.2782 859.18 -0.00 -2674.44 0.06
24 1.2784 856.25 -0.01 -2675.02 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.
20KD53 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 95.644 95.767 95.539 ecceobj 0.637 0.637 0.636 incobj 15.301 15.302 15.299 qmin 33.448 34.015 33.364 qmax 167.248 167.148 164.654 amean 96.891 96.934 94.941 amin 93.559 94.828 91.866 amax 101.123 101.383 99.723 emean 0.641 0.638 0.635 emin 0.629 0.625 0.619 emax 0.654 0.650 0.652 imean 13.155 14.329 12.932 imin 11.918 13.560 11.548 imax 14.082 15.873 14.261 excite_mean 0.680 0.684 0.673 fracstop 1.000 1.000 1.000 cjmean 2.992 2.989 2.992 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 158.2 221.0 169.0 kozaiamp 180.0 179.9 180.0