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: 20KM54
# Created Mon Apr 28 01:11:21 2025
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 75.98d
# First observation: 2020/05/30
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.018598 0.000003 -0.002593 0.023426 0.000000
# Chi-squared of fit: 0.52 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.05 0.06
# Exact a, adot, b, bdot, g, gdot:
1.578874E-05 2.455745E-02 -1.453266E-06 -2.587917E-03 2.442712E-02 -2.293075E-03
# Covariance matrix:
3.0321E-13 8.7697E-11 -4.3204E-14 -2.1462E-13 1.7252E-11 4.5142E-10
8.7697E-11 2.4463E-07 -1.2018E-10 -3.0113E-10 4.5168E-08 6.9721E-07
-4.3204E-14 -1.2018E-10 2.3285E-13 -8.7800E-13 -2.2187E-11 -3.4174E-10
-2.1462E-13 -3.0113E-10 -8.7800E-13 1.1850E-11 -5.6545E-11 -1.0735E-09
1.7252E-11 4.5168E-08 -2.2187E-11 -5.6545E-11 8.3478E-09 1.3051E-07
4.5142E-10 6.9721E-07 -3.4174E-10 -1.0735E-09 1.3051E-07 2.3926E-06
# lat0 lon0 xBary yBary zBary JD0
2.027306 -72.974203 0.624498 0.027912 -0.792145 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 318.31212 +/- 17.273
Argument of Peri: 215.80567 +/- 25.846
Long of Asc Node: 124.48710 +/- 0.359
Inclination: 6.30422 +/- 0.120
Eccentricity: 0.14408766 +/- 0.0372
Semi-Major Axis: 46.21890944 +/- 0.8775
Time of Perihelion: 2472280.8150 +/- 5493.6
Perihelion: 39.55933498 +/- 1.8751
Aphelion: 52.87848390 +/- 1.9899
Period (y) 314.2228 +/- 8.95
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.61987747 +/- 0.0448
Ecliptic Y -40.06700013 +/- 0.1463
Ecliptic Z 1.44822856 +/- 0.0054
Ecliptic XDOT 0.00256774 +/- 0.0001
Ecliptic YDOT 0.00104527 +/- 0.0002
Ecliptic ZDOT -0.00029920 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.74306431 +/- 0.1410
Geocenter to KBO 40.93810025 +/- 0.1531
# Hcoef: 10.10
The following table shows the complete astrometric record for 20KM54. 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 (20KM54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 12 44.388 -20 20 36.92 26.2r 20KM54 266 C~6c5Z 2020 05 30.53044 19 12 44.038 -20 20 37.50 26.2r 20KM54 266 C~6c5Z 2020 05 30.61862 19 12 43.699 -20 20 38.04 26.2r 20KM54 266 C~6c5Z 2020 06 01.43269 19 12 36.780 -20 20 49.48 26.3r 20KM54 266 C~6c5Z 2020 06 01.47325 19 12 36.620 -20 20 49.75 26.3r 20KM54 266 C~6c5Z 2020 06 01.60571 19 12 36.094 -20 20 50.61 26.3r 20KM54 266 C~6c5Z 2020 06 21.45390 19 11 08.842 -20 23 24.90 25.9r 20KM54 266 C~6c5Z 2020 06 21.53376 19 11 08.451 -20 23 25.61 25.9r 20KM54 266 C~6c5Z 2020 06 21.61261 19 11 08.066 -20 23 26.29 25.9r 20KM54 266 C~6c5Z 2020 06 24.43648 19 10 54.391 -20 23 51.87 26.3r 20KM54 266 C~6c5Z 2020 06 24.51619 19 10 53.994 -20 23 52.60 26.3r 20KM54 266 C~6c5Z 2020 06 24.59604 19 10 53.598 -20 23 53.31 26.3r 20KM54 266 C~6c5Z 2020 08 12.26680 19 07 01.155 -20 31 59.05 26.5r 20KM54 266 C~6c5Z 2020 08 12.34843 19 07 00.823 -20 31 59.84 26.5r 20KM54 266 C~6c5Z 2020 08 12.42950 19 07 00.494 -20 32 00.61 26.5r 20KM54 266 C~6c5Z 2020 08 14.24286 19 06 53.416 -20 32 17.93 26.2r 20KM54 266 C~6c5Z 2020 08 14.33285 19 06 53.061 -20 32 18.79 26.2r 20KM54 266 C~6c5Z 2020 08 14.42134 19 06 52.713 -20 32 19.62 26.2r 20KM54 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 0.02 0.00 -0.05
2 0.0002 -4.96 0.02 0.04 -0.05
3 0.0005 -9.75 0.02 0.09 -0.05
4 0.0055 -107.73 -0.02 0.82 0.03
5 0.0056 -110.00 -0.02 0.83 0.03
6 0.0059 -117.45 -0.02 0.89 0.03
7 0.0603 -1354.07 -0.02 -1.42 0.06
8 0.0605 -1359.61 -0.02 -1.45 0.06
9 0.0607 -1365.07 -0.02 -1.47 0.06
10 0.0684 -1559.03 0.02 -3.47 -0.04
11 0.0687 -1564.66 0.02 -3.52 -0.04
12 0.0689 -1570.27 0.03 -3.55 -0.04
13 0.2021 -4872.26 0.00 -98.78 -0.00
14 0.2024 -4876.99 -0.00 -99.03 -0.00
15 0.2026 -4881.67 -0.01 -99.26 -0.00
16 0.2075 -4982.49 0.01 -104.99 -0.00
17 0.2078 -4987.54 0.00 -105.27 0.00
18 0.2080 -4992.50 0.00 -105.53 -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.
20KM54 quality flag:1 Type: CLASSICAL SCATNEAR SCATNEAR axisobj 45.617 51.784 42.801 ecceobj 0.140 0.216 0.210 incobj 6.318 5.959 6.672 qmin 38.686 40.084 33.084 qmax 53.369 64.697 53.826 amean 45.837 52.118 43.336 amin 45.452 51.635 42.323 amax 46.273 52.698 43.904 emean 0.141 0.218 0.191 emin 0.126 0.207 0.160 emax 0.154 0.228 0.229 imean 4.962 4.495 7.674 imin 4.458 4.211 2.600 imax 5.537 4.790 10.965 excite_mean 0.165 0.232 0.237 fracstop 1.000 1.000 1.000 cjmean 3.091 3.138 3.025 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 182.2 183.8 183.2 kozaiamp 180.0 179.9 179.9