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: 20KU54
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 74.98d
# First observation: 2020/05/30
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.023232 0.000003 0.003178 0.025695 0.000000
# Chi-squared of fit: 2.47 DOF: 24 RMS: 0.07
# Min/Max residuals: -0.13 0.10
# Exact a, adot, b, bdot, g, gdot:
1.659643E-05 2.870777E-02 1.426774E-06 3.166508E-03 2.660687E-02 1.970175E-04
# Covariance matrix:
3.0113E-13 8.6610E-11 -5.5276E-14 2.3988E-13 1.7421E-11 5.0100E-10
8.6610E-11 2.7423E-07 -1.5814E-10 3.1013E-10 5.1545E-08 9.3310E-07
-5.5276E-14 -1.5814E-10 2.6624E-13 -1.3603E-12 -2.9769E-11 -5.4768E-10
2.3988E-13 3.1013E-10 -1.3603E-12 1.8396E-11 5.9613E-11 1.3449E-09
1.7421E-11 5.1545E-08 -2.9769E-11 5.9613E-11 9.6977E-09 1.7729E-07
5.0100E-10 9.3310E-07 -5.4768E-10 1.3449E-09 1.7729E-07 3.5918E-06
# lat0 lon0 xBary yBary zBary JD0
2.158053 -72.017332 0.637647 0.029323 -0.781548 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 356.82003 +/- 21.009
Argument of Peri: 22.90210 +/- 28.566
Long of Asc Node: 268.58339 +/- 0.321
Inclination: 6.65073 +/- 0.110
Eccentricity: 0.15267667 +/- 0.0257
Semi-Major Axis: 45.27761599 +/- 1.4207
Time of Perihelion: 2459973.4802 +/- 6494.2
Perihelion: 38.36478056 +/- 1.6747
Aphelion: 52.19045142 +/- 2.0093
Period (y) 304.6727 +/- 14.34
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.23572610 +/- 0.0429
Ecliptic Y -36.67052127 +/- 0.1322
Ecliptic Z 1.41540589 +/- 0.0052
Ecliptic XDOT 0.00282031 +/- 0.0001
Ecliptic YDOT 0.00090796 +/- 0.0002
Ecliptic ZDOT 0.00032613 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.37931793 +/- 0.1270
Geocenter to KBO 37.58428300 +/- 0.1391
# Hcoef: 10.73
The following table shows the complete astrometric record for 20KU54. 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 (20KU54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 16 42.694 -20 05 31.18 26.5r 20KU54 266 C~6c5a 2020 05 30.53044 19 16 42.325 -20 05 31.50 26.5r 20KU54 266 C~6c5a 2020 05 30.61862 19 16 41.966 -20 05 31.79 26.5r 20KU54 266 C~6c5a 2020 06 01.43269 19 16 34.642 -20 05 38.39 26.5r 20KU54 266 C~6c5a 2020 06 01.47325 19 16 34.472 -20 05 38.55 26.5r 20KU54 266 C~6c5a 2020 06 01.60571 19 16 33.915 -20 05 39.04 26.5r 20KU54 266 C~6c5a 2020 06 20.45583 19 15 06.100 -20 07 14.92 26.4r 20KU54 266 C~6c5a 2020 06 20.52860 19 15 05.722 -20 07 15.38 26.4r 20KU54 266 C~6c5a 2020 06 20.62233 19 15 05.235 -20 07 15.95 26.4r 20KU54 266 C~6c5a 2020 06 22.44948 19 14 55.844 -20 07 27.79 26.4r 20KU54 266 C~6c5a 2020 06 22.52092 19 14 55.467 -20 07 28.26 26.4r 20KU54 266 C~6c5a 2020 06 22.59118 19 14 55.097 -20 07 28.71 26.4r 20KU54 266 C~6c5a 2020 08 13.24332 19 10 29.488 -20 14 11.38 26.7r 20KU54 266 C~6c5a 2020 08 13.33331 19 10 29.096 -20 14 12.06 26.7r 20KU54 266 C~6c5a 2020 08 13.42301 19 10 28.706 -20 14 12.73 26.7r 20KU54 266 C~6c5a
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 0.10 0.00 0.09
2 0.0002 -5.20 0.10 0.36 0.09
3 0.0005 -10.25 0.10 0.74 0.09
4 0.0055 -113.40 -0.11 7.67 -0.13
5 0.0056 -115.79 -0.11 7.83 -0.13
6 0.0059 -123.64 -0.12 8.37 -0.13
7 0.0575 -1362.60 0.02 73.42 0.03
8 0.0577 -1367.94 0.03 73.65 0.03
9 0.0580 -1374.81 0.03 73.97 0.03
10 0.0630 -1507.51 -0.01 79.19 0.02
11 0.0632 -1512.84 -0.01 79.40 0.02
12 0.0634 -1518.07 -0.01 79.62 0.02
13 0.2048 -5279.75 0.01 146.80 -0.01
14 0.2050 -5285.31 -0.00 146.79 -0.01
15 0.2053 -5290.85 -0.01 146.79 -0.01
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.
20KU54 quality flag:1 Type: CLASSICAL 5:2EEE SCATNEAR axisobj 44.622 54.866 40.429 ecceobj 0.142 0.344 0.158 incobj 6.687 6.332 7.083 qmin 37.526 35.321 33.199 qmax 52.581 76.731 48.565 amean 44.871 55.463 40.647 amin 44.501 54.731 40.206 amax 45.285 56.379 41.169 emean 0.145 0.341 0.154 emin 0.129 0.314 0.125 emax 0.161 0.363 0.181 imean 8.493 9.326 13.512 imin 7.770 7.717 8.560 imax 9.141 11.524 16.231 excite_mean 0.207 0.378 0.280 fracstop 1.000 1.000 1.000 cjmean 3.060 3.060 2.971 libcent 0 -180.0 180.2 -180.0 libamp 0 -180.0 109.0 -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 177.7 61.0 179.1 kozaiamp 180.0 180.0 180.0