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: 20KR54
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 76.98d
# First observation: 2020/05/28
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
0.000004 0.019530 0.000003 0.000231 0.023887 0.000000
# Chi-squared of fit: 0.32 DOF: 36 RMS: 0.02
# Min/Max residuals: -0.05 0.04
# Exact a, adot, b, bdot, g, gdot:
1.579299E-05 2.512624E-02 1.166511E-07 2.165648E-04 2.481685E-02 3.354582E-04
# Covariance matrix:
1.9844E-13 1.0571E-11 -7.8296E-15 -1.7272E-14 2.7576E-12 1.7847E-10
1.0571E-11 1.6216E-07 -8.9259E-11 -3.6179E-10 3.0537E-08 5.6461E-07
-7.8296E-15 -8.9259E-11 1.7713E-13 -7.4620E-13 -1.6823E-11 -3.1377E-10
-1.7272E-14 -3.6179E-10 -7.4620E-13 1.6110E-11 -6.8064E-11 -1.2431E-09
2.7576E-12 3.0537E-08 -1.6823E-11 -6.8064E-11 5.7559E-09 1.0750E-07
1.7847E-10 5.6461E-07 -3.1377E-10 -1.2431E-09 1.0750E-07 2.2409E-06
# lat0 lon0 xBary yBary zBary JD0
2.004133 -72.223119 0.660695 0.026542 -0.762157 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 357.79667 +/- 43.212
Argument of Peri: 77.72323 +/- 49.980
Long of Asc Node: 211.67615 +/- 0.330
Inclination: 2.03395 +/- 0.003
Eccentricity: 0.07358935 +/- 0.0238
Semi-Major Axis: 44.33035451 +/- 1.1153
Time of Perihelion: 2459650.3219 +/- 12940.4
Perihelion: 41.06811275 +/- 1.4769
Aphelion: 47.59259627 +/- 1.5960
Period (y) 295.1617 +/- 11.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.90436175 +/- 0.0376
Ecliptic Y -39.28251097 +/- 0.1172
Ecliptic Z 1.40926240 +/- 0.0043
Ecliptic XDOT 0.00265878 +/- 0.0001
Ecliptic YDOT 0.00081543 +/- 0.0001
Ecliptic ZDOT 0.00002494 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.07085971 +/- 0.1127
Geocenter to KBO 40.29520596 +/- 0.1232
# Hcoef: 9.91
The following table shows the complete astrometric record for 20KR54. 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 (20KR54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 15 55.677 -20 16 16.91 26.1r 20KR54 266 C~6c5a 2020 05 28.50129 19 15 55.474 -20 16 17.17 26.1r 20KR54 266 C~6c5a 2020 05 28.55756 19 15 55.264 -20 16 17.43 26.1r 20KR54 266 C~6c5a 2020 05 30.43935 19 15 48.294 -20 16 26.28 25.9r 20KR54 266 C~6c5a 2020 05 30.53044 19 15 47.943 -20 16 26.74 25.9r 20KR54 266 C~6c5a 2020 05 30.61862 19 15 47.602 -20 16 27.16 25.9r 20KR54 266 C~6c5a 2020 06 01.43269 19 15 40.652 -20 16 36.33 26.2r 20KR54 266 C~6c5a 2020 06 01.47325 19 15 40.490 -20 16 36.55 26.2r 20KR54 266 C~6c5a 2020 06 01.60571 19 15 39.961 -20 16 37.24 26.2r 20KR54 266 C~6c5a 2020 06 20.45583 19 14 16.748 -20 18 39.06 25.8r 20KR54 266 C~6c5a 2020 06 20.52860 19 14 16.390 -20 18 39.61 25.8r 20KR54 266 C~6c5a 2020 06 20.62233 19 14 15.930 -20 18 40.30 25.8r 20KR54 266 C~6c5a 2020 06 22.44948 19 14 07.054 -20 18 54.38 26.2r 20KR54 266 C~6c5a 2020 06 22.52092 19 14 06.698 -20 18 54.93 26.2r 20KR54 266 C~6c5a 2020 06 22.59118 19 14 06.348 -20 18 55.47 26.2r 20KR54 266 C~6c5a 2020 06 25.44823 19 13 52.253 -20 19 18.09 25.9r 20KR54 266 C~6c5a 2020 06 25.53213 19 13 51.828 -20 19 18.76 25.9r 20KR54 266 C~6c5a 2020 06 25.61487 19 13 51.410 -20 19 19.41 25.9r 20KR54 266 C~6c5a 2020 08 13.24332 19 09 55.646 -20 26 30.66 25.7r 20KR54 266 C~6c5a 2020 08 13.33331 19 09 55.277 -20 26 31.43 25.7r 20KR54 266 C~6c5a 2020 08 13.42301 19 09 54.909 -20 26 32.18 25.7r 20KR54 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 0.04 0.00 0.00
2 0.0001 -2.87 0.04 0.11 0.00
3 0.0003 -5.83 0.04 0.24 0.00
4 0.0055 -104.22 -0.02 4.15 0.01
5 0.0057 -109.18 -0.02 4.33 0.01
6 0.0059 -113.99 -0.02 4.53 0.01
7 0.0109 -212.15 -0.02 8.07 -0.04
8 0.0110 -214.44 -0.03 8.15 -0.04
9 0.0114 -221.91 -0.03 8.43 -0.05
10 0.0630 -1398.60 -0.00 37.50 0.01
11 0.0632 -1403.67 0.00 37.59 0.01
12 0.0635 -1410.18 0.01 37.73 0.01
13 0.0685 -1535.82 0.00 39.60 0.00
14 0.0686 -1540.86 0.01 39.69 0.01
15 0.0688 -1545.81 0.00 39.78 -0.00
16 0.0767 -1745.36 0.00 42.43 0.03
17 0.0769 -1751.38 0.00 42.52 0.03
18 0.0771 -1757.29 0.00 42.62 0.03
19 0.2103 -5101.21 -0.01 23.73 -0.01
20 0.2105 -5106.46 0.00 23.59 -0.01
21 0.2107 -5111.68 0.00 23.47 -0.02
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.
20KR54 quality flag:1 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 43.744 50.343 40.647 ecceobj 0.063 0.237 0.138 incobj 2.042 2.034 2.051 qmin 40.431 37.828 34.681 qmax 47.756 64.194 47.275 amean 43.972 50.718 40.830 amin 43.619 50.225 40.489 amax 44.336 51.299 41.202 emean 0.061 0.240 0.083 emin 0.044 0.229 0.038 emax 0.078 0.252 0.148 imean 3.497 3.101 7.403 imin 2.816 2.681 2.895 imax 4.161 3.448 11.159 excite_mean 0.087 0.246 0.160 fracstop 1.000 1.000 1.000 cjmean 3.092 3.110 3.035 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 175.3 170.5 179.4 kozaiamp 179.9 180.0 179.9