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: 20KA54
# 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:
0.000002 0.020261 0.000003 -0.004809 0.023864 0.000000
# Chi-squared of fit: 0.62 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.08 0.07
# Exact a, adot, b, bdot, g, gdot:
1.600758E-05 2.504738E-02 -3.439692E-06 -4.808601E-03 2.464771E-02 -1.437588E-03
# Covariance matrix:
2.8849E-13 6.2519E-11 -3.8706E-14 -5.4984E-13 1.2825E-11 4.1185E-10
6.2519E-11 1.9359E-07 -1.2418E-10 -1.1370E-09 3.6667E-08 7.1946E-07
-3.8706E-14 -1.2418E-10 2.4445E-13 -4.6368E-13 -2.3507E-11 -4.5787E-10
-5.4984E-13 -1.1370E-09 -4.6368E-13 2.3898E-11 -2.1668E-10 -4.5252E-09
1.2825E-11 3.6667E-08 -2.3507E-11 -2.1668E-10 6.9513E-09 1.3757E-07
4.1185E-10 7.1946E-07 -4.5787E-10 -4.5252E-09 1.3757E-07 2.9722E-06
# lat0 lon0 xBary yBary zBary JD0
2.316083 -72.143099 0.661759 0.030654 -0.761079 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 335.69116 +/- 21.300
Argument of Peri: 200.82270 +/- 30.062
Long of Asc Node: 118.67028 +/- 0.206
Inclination: 11.04845 +/- 0.190
Eccentricity: 0.14996178 +/- 0.0189
Semi-Major Axis: 47.63134088 +/- 0.8808
Time of Perihelion: 2467098.2312 +/- 7100.8
Perihelion: 40.48846012 +/- 1.1712
Aphelion: 54.77422163 +/- 1.3554
Period (y) 328.7361 +/- 9.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.04010697 +/- 0.0420
Ecliptic Y -39.52041148 +/- 0.1305
Ecliptic Z 1.63952646 +/- 0.0056
Ecliptic XDOT 0.00261402 +/- 0.0001
Ecliptic YDOT 0.00098801 +/- 0.0002
Ecliptic ZDOT -0.00054039 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.34628334 +/- 0.1254
Geocenter to KBO 40.57172163 +/- 0.1372
# Hcoef: 10.33
The following table shows the complete astrometric record for 20KA54. 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 (20KA54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 16 05.608 -19 57 06.05 26.2r 20KA54 266 C~7ulo 2020 05 28.50129 19 16 05.409 -19 57 06.45 26.2r 20KA54 266 C~7ulo 2020 05 28.55756 19 16 05.203 -19 57 06.85 26.2r 20KA54 266 C~7ulo 2020 05 30.43935 19 15 58.359 -19 57 20.51 26.2r 20KA54 266 C~6c5Y 2020 05 30.53044 19 15 58.014 -19 57 21.20 26.2r 20KA54 266 C~6c5Y 2020 05 30.61862 19 15 57.679 -19 57 21.84 26.2r 20KA54 266 C~6c5Y 2020 06 20.45583 19 14 28.276 -20 00 27.08 26.7r 20KA54 266 C~6c5Y 2020 06 20.52860 19 14 27.923 -20 00 27.82 26.7r 20KA54 266 C~6c5Y 2020 06 20.62233 19 14 27.470 -20 00 28.76 26.7r 20KA54 266 C~6c5Y 2020 06 22.44948 19 14 18.729 -20 00 47.70 26.5r 20KA54 266 C~6c5Y 2020 06 22.52092 19 14 18.378 -20 00 48.44 26.5r 20KA54 266 C~6c5Y 2020 06 22.59118 19 14 18.034 -20 00 49.16 26.5r 20KA54 266 C~6c5Y 2020 06 25.44823 19 14 04.144 -20 01 19.44 26.6r 20KA54 266 C~6c5Y 2020 06 25.53213 19 14 03.725 -20 01 20.33 26.6r 20KA54 266 C~6c5Y 2020 06 25.61487 19 14 03.313 -20 01 21.20 26.6r 20KA54 266 C~6c5Y 2020 08 13.24332 19 10 10.819 -20 10 51.58 26.3r 20KA54 266 C~6c5Y 2020 08 13.33331 19 10 10.454 -20 10 52.62 26.3r 20KA54 266 C~6c5Y 2020 08 13.42301 19 10 10.091 -20 10 53.63 26.3r 20KA54 266 C~6c5Y
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 0.07
2 0.0001 -2.83 0.02 -0.03 0.07
3 0.0003 -5.77 0.02 -0.05 0.06
4 0.0055 -103.22 -0.02 -1.08 -0.08
5 0.0057 -108.13 -0.02 -1.14 -0.08
6 0.0059 -112.90 -0.01 -1.16 -0.08
7 0.0630 -1386.59 -0.01 -22.96 0.01
8 0.0632 -1391.62 -0.01 -23.06 0.01
9 0.0635 -1398.07 -0.01 -23.18 0.01
10 0.0685 -1522.69 0.02 -26.29 -0.01
11 0.0686 -1527.69 0.02 -26.39 -0.01
12 0.0688 -1532.59 0.03 -26.49 -0.01
13 0.0767 -1730.62 -0.01 -31.68 0.01
14 0.0769 -1736.59 -0.01 -31.81 0.02
15 0.0771 -1742.46 -0.01 -31.94 0.01
16 0.2103 -5063.83 0.00 -192.30 -0.01
17 0.2105 -5069.07 -0.00 -192.71 -0.00
18 0.2107 -5074.26 -0.00 -193.09 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.
20KA54 quality flag:1 Type: CLASSICAL SCATNEAR SCATNEAR axisobj 46.975 54.248 44.329 ecceobj 0.143 0.269 0.191 incobj 11.080 10.494 11.614 qmin 39.687 39.006 35.149 qmax 55.237 70.995 54.519 amean 47.227 54.642 44.567 amin 46.817 54.078 44.085 amax 47.719 55.290 45.121 emean 0.143 0.272 0.193 emin 0.130 0.261 0.165 emax 0.158 0.284 0.211 imean 9.503 8.873 9.635 imin 9.108 8.482 8.758 imax 9.924 9.200 10.740 excite_mean 0.219 0.313 0.255 fracstop 1.000 1.000 1.000 cjmean 3.082 3.112 3.029 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 187.2 188.7 191.1 kozaiamp 180.0 180.0 180.0