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: 20KL54
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 76.98d
# First observation: 2020/05/28
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
0.000004 0.017872 0.000002 0.002626 0.022654 0.000000
# Chi-squared of fit: 0.40 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.06 0.05
# Exact a, adot, b, bdot, g, gdot:
1.489029E-05 2.186689E-02 1.759204E-06 2.611785E-03 2.330244E-02 -2.350792E-03
# Covariance matrix:
2.0691E-13 3.5708E-11 -2.0390E-14 1.0340E-13 7.6036E-12 3.0495E-10
3.5708E-11 2.2594E-07 -1.0788E-10 5.9362E-11 4.2728E-08 8.6623E-07
-2.0390E-14 -1.0788E-10 1.8713E-13 -9.4678E-13 -2.0434E-11 -4.2093E-10
1.0340E-13 5.9362E-11 -9.4678E-13 1.5564E-11 1.2197E-11 4.6319E-10
7.6036E-12 4.2728E-08 -2.0434E-11 1.2197E-11 8.0880E-09 1.6553E-07
3.0495E-10 8.6623E-07 -4.2093E-10 4.6319E-10 1.6553E-07 3.7347E-06
# lat0 lon0 xBary yBary zBary JD0
1.915313 -72.428337 0.657959 0.025440 -0.764558 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 279.99052 +/- 4.310
Argument of Peri: 109.35122 +/- 12.923
Long of Asc Node: 271.36222 +/- 0.330
Inclination: 7.07347 +/- 0.146
Eccentricity: 0.12116604 +/- 0.0872
Semi-Major Axis: 43.97827528 +/- 0.5194
Time of Perihelion: 2482665.7535 +/- 1204.3
Perihelion: 38.64960190 +/- 3.8622
Aphelion: 49.30694866 +/- 3.8791
Period (y) 291.6524 +/- 5.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.55773512 +/- 0.0500
Ecliptic Y -41.82350438 +/- 0.1578
Ecliptic Z 1.43442875 +/- 0.0055
Ecliptic XDOT 0.00237099 +/- 0.0001
Ecliptic YDOT 0.00105211 +/- 0.0002
Ecliptic ZDOT 0.00029723 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.69164470 +/- 0.1517
Geocenter to KBO 42.91395794 +/- 0.1656
# Hcoef: 9.71
The following table shows the complete astrometric record for 20KL54. 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 (20KL54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 15 06.549 -20 23 09.09 26.0r 20KL54 266 C~6c5Z 2020 05 28.50129 19 15 06.353 -20 23 09.27 26.0r 20KL54 266 C~6c5Z 2020 05 28.55756 19 15 06.151 -20 23 09.45 26.0r 20KL54 266 C~6c5Z 2020 05 30.43935 19 14 59.432 -20 23 15.49 26.1r 20KL54 266 C~6c5Z 2020 05 30.53044 19 14 59.093 -20 23 15.81 26.1r 20KL54 266 C~6c5Z 2020 05 30.61862 19 14 58.764 -20 23 16.10 26.1r 20KL54 266 C~6c5Z 2020 06 01.43269 19 14 52.060 -20 23 22.61 26.4r 20KL54 266 C~6c5Z 2020 06 01.47325 19 14 51.905 -20 23 22.77 26.4r 20KL54 266 C~6c5Z 2020 06 01.60571 19 14 51.396 -20 23 23.26 26.4r 20KL54 266 C~6c5Z 2020 06 20.45583 19 13 31.505 -20 24 54.54 25.9r 20KL54 266 C~6c5Z 2020 06 20.52860 19 13 31.162 -20 24 54.96 25.9r 20KL54 266 C~6c5Z 2020 06 20.62233 19 13 30.721 -20 24 55.49 25.9r 20KL54 266 C~6c5Z 2020 06 22.44948 19 13 22.219 -20 25 06.40 26.0r 20KL54 266 C~6c5Z 2020 06 22.52092 19 13 21.878 -20 25 06.83 26.0r 20KL54 266 C~6c5Z 2020 06 22.59118 19 13 21.543 -20 25 07.25 26.0r 20KL54 266 C~6c5Z 2020 08 13.24332 19 09 21.811 -20 31 06.78 25.9r 20KL54 266 C~6c5Z 2020 08 13.33331 19 09 21.457 -20 31 07.38 25.9r 20KL54 266 C~6c5Z 2020 08 13.42301 19 09 21.104 -20 31 07.96 25.9r 20KL54 266 C~6c5Z
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 -0.01 0.00 0.00
2 0.0001 -2.76 -0.01 0.17 0.00
3 0.0003 -5.60 -0.01 0.36 -0.00
4 0.0055 -100.06 0.04 6.46 0.04
5 0.0057 -104.83 0.03 6.76 0.05
6 0.0059 -109.46 0.03 7.06 0.05
7 0.0109 -203.78 -0.03 12.65 -0.05
8 0.0110 -205.96 -0.03 12.77 -0.05
9 0.0114 -213.12 -0.02 13.20 -0.06
10 0.0630 -1338.84 0.02 65.00 -0.00
11 0.0632 -1343.67 0.02 65.19 0.00
12 0.0635 -1349.89 0.02 65.44 0.00
13 0.0685 -1469.84 -0.02 69.63 0.01
14 0.0686 -1474.65 -0.02 69.80 0.01
15 0.0688 -1479.37 -0.02 69.98 0.00
16 0.2103 -4867.86 -0.00 125.69 -0.00
17 0.2105 -4872.87 0.00 125.69 0.00
18 0.2107 -4877.87 -0.00 125.71 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.
20KL54 quality flag:1 Type: SCATNEAR CLASSICAL CENTAURS axisobj 43.481 48.978 41.806 ecceobj 0.125 0.155 0.209 incobj 7.117 6.669 7.425 qmin 37.642 40.812 29.232 qmax 50.307 58.166 64.098 amean 43.725 49.281 42.787 amin 43.280 48.855 40.024 amax 44.214 49.764 47.375 emean 0.122 0.158 0.257 emin 0.102 0.147 0.186 emax 0.138 0.169 0.353 imean 8.990 8.257 13.835 imin 8.167 7.905 8.930 imax 9.777 8.511 18.119 excite_mean 0.199 0.214 0.352 fracstop 1.000 1.000 1.000 cjmean 3.051 3.111 2.939 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 184.0 171.0 183.4 kozaiamp 180.0 179.9 180.0