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: 20KE54
# Created Fri Nov 22 02:11:04 2024
# Orbit generated from Bernstein formalism
# Fitting 23 observations of 24
# Arc: 3.22y
# First observation: 2020/05/26
# Last observation: 2023/08/14
Preliminary a, adot, b, bdot, g, gdot:
-0.000240 0.032461 -0.000013 0.012646 0.030185 0.000000
# Chi-squared of fit: 2.84 DOF: 40 RMS: 0.06
# Min/Max residuals: -0.30 0.17
# Exact a, adot, b, bdot, g, gdot:
1.686673E-05 3.289330E-02 6.601683E-06 1.282607E-02 3.063946E-02 5.987030E-03
# Covariance matrix:
1.2221E-13 -1.8743E-13 1.2692E-14 -1.0486E-13 8.3000E-14 -2.6153E-12
-1.8743E-13 1.8926E-12 -1.2381E-13 1.0489E-12 2.1937E-13 2.6090E-11
1.2692E-14 -1.2381E-13 8.7427E-14 -1.0713E-13 -7.5989E-15 -1.8134E-12
-1.0486E-13 1.0489E-12 -1.0713E-13 6.9769E-13 7.3267E-14 1.5328E-11
8.3000E-14 2.1937E-13 -7.5989E-15 7.3267E-14 3.6528E-13 1.7982E-12
-2.6153E-12 2.6090E-11 -1.8134E-12 1.5328E-11 1.7982E-12 3.8133E-10
# lat0 lon0 xBary yBary zBary JD0
2.349103 -73.245313 0.672648 0.030694 -0.751343 2458995.943811
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 33.69545 +/- 0.041
Argument of Peri: 315.06599 +/- 0.082
Long of Asc Node: 279.71843 +/- 0.000
Inclination: 21.34762 +/- 0.001
Eccentricity: 0.21752785 +/- 0.0006
Semi-Major Axis: 39.83689582 +/- 0.0145
Time of Perihelion: 2450394.5196 +/- 9.2
Perihelion: 31.17126172 +/- 0.0252
Aphelion: 48.50252992 +/- 0.0286
Period (y) 251.4412 +/- 0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.97890924 +/- 0.0002
Ecliptic Y -32.14667771 +/- 0.0006
Ecliptic Z 1.33804137 +/- 0.0000
Ecliptic XDOT 0.00296314 +/- 0.0000
Ecliptic YDOT 0.00038396 +/- 0.0000
Ecliptic ZDOT 0.00116683 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 33.40389279 +/- 0.0006
Geocenter to KBO 32.63765197 +/- 0.0006
# Hcoef: 7.96
The following table shows the complete astrometric record for 20KE54. 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 (20KE54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 11 25.501 -20 03 27.37 23.5r 20KE54 266 C~6c5Z 2020 05 26.50149 19 11 25.238 -20 03 27.23 23.5r 20KE54 266 C~6c5Z 2020 05 26.55599 19 11 24.992 -20 03 27.09 23.5r 20KE54 266 C~6c5Z 2020 05 29.44698 19 11 11.907 -20 03 20.33 23.1r 20KE54 266 C~6c5Z 2020 05 29.53371 19 11 11.494 -20 03 20.17 23.1r 20KE54 266 C~6c5Z 2020 05 29.61905 19 11 11.087 -20 03 19.98 23.1r 20KE54 266 C~6c5Z 2020 05 31.44139 19 11 02.472 -20 03 16.58 23.2r 20KE54 266 C~6c5Z 2020 05 31.52961 19 11 02.038 -20 03 16.45 23.2r 20KE54 266 C~6c5Z 2020 05 31.61814 19 11 01.601 -20 03 16.29 23.2r 20KE54 266 C~6c5Z 2020 06 21.45390 19 09 07.019 -20 03 16.82 23.1r 20KE54 266 C~6c5Z 2020 06 21.53376 19 09 06.527 -20 03 16.93 23.1r 20KE54 266 C~6c5Z 2020 06 21.61261 19 09 06.044 -20 03 17.03 23.1r 20KE54 266 C~6c5Z 2020 06 24.43648 19 08 48.867 -20 03 21.80 23.1r 20KE54 266 C~6c5Z 2020 06 24.52739 19 08 48.299 -20 03 21.97 23.1r 20KE54 266 C~6c5Z 2020 06 24.61708 19 08 47.741 -20 03 22.11 23.1r 20KE54 266 C~6c5Z 2020 08 14.24286 19 03 48.644 -20 06 00.95 23.1r 20KE54 266 C~6c5Z 2020 08 14.33285 19 03 48.208 -20 06 01.22 23.1r 20KE54 266 C~6c5Z 2020 08 14.42134 19 03 47.779 -20 06 01.47 23.1r 20KE54 266 C~6c5Z 2021 03 02.363143 19 18 01.64 -19 24 28.0 20KE54 W84 C~7Bjx 2021 03 02.370492 19 18 01.69 -19 24 27.7 20KE54 W84 C~7Bjx 2021 03 02.375675 19 18 01.69 -19 24 27.7 20KE54 W84 C~7Bjx 2023 08 14.196340 19 26 12.328 -17 14 00.85 22.3G 20KE54 G37 C~7Bjx 2023 08 14.244930 19 26 12.081 -17 14 01.29 20KE54 G37 C~7Bjx 2023 08 14.292850 19 26 11.798 -17 14 00.93 20KE54 G37 C~7Bjx
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 0.00
2 0.0002 -3.66 0.02 0.59 0.00
3 0.0003 -7.08 0.03 1.15 0.01
4 0.0082 -189.26 0.04 30.34 -0.02
5 0.0085 -195.01 0.03 31.20 -0.03
6 0.0087 -200.68 0.04 32.09 -0.02
7 0.0137 -320.76 0.04 50.23 -0.03
8 0.0139 -326.81 0.04 51.10 -0.03
9 0.0142 -332.90 0.03 52.01 -0.03
10 0.0712 -1935.86 -0.01 245.33 -0.04
11 0.0714 -1942.76 -0.02 246.05 -0.03
12 0.0716 -1949.53 -0.01 246.75 -0.03
13 0.0794 -2190.45 -0.02 270.68 0.00
14 0.0796 -2198.42 -0.02 271.46 -0.00
15 0.0799 -2206.24 -0.01 272.25 -0.00
16 0.2185 -6412.51 -0.03 596.92 0.00
17 0.2187 -6418.65 -0.02 597.34 0.00
18 0.2190 -6424.69 -0.03 597.76 -0.00
19 0.7664 5846.47 -0.03 1610.99 0.05
20 0.7664 5847.21 0.12 1611.19 0.17
21 0.7664 5847.21 -0.30 1611.19 0.12
22 3.2163 13867.55 0.01 8423.04 -0.01
23 3.2164 13863.96 0.04 8423.11 -0.06
24 3.2166 13859.98 ( -0.37) 8424.04 ( 0.75)
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.
20KE54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.251 39.313 39.189 ecceobj 0.208 0.210 0.206 incobj 21.432 21.432 21.431 qmin 26.724 27.320 26.638 qmax 52.882 52.151 52.756 amean 39.454 39.455 39.454 amin 38.997 38.979 39.038 amax 39.993 40.009 39.952 emean 0.252 0.250 0.255 emin 0.173 0.186 0.172 emax 0.322 0.306 0.323 imean 21.565 21.738 21.430 imin 18.824 19.784 18.555 imax 24.030 23.852 24.075 excite_mean 0.448 0.448 0.448 fracstop 1.000 1.000 1.000 cjmean 2.820 2.820 2.820 libcent 0 180.3 180.7 180.3 libamp 0 83.1 106.3 70.5 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 267.4 266.7 265.3 kozaiamp 57.8 66.3 58.9