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: 20KC54
# Created Sun Nov 24 02:11:02 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 78.97d
# First observation: 2020/05/28
# Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
0.000002 0.017368 0.000005 -0.000432 0.022878 0.000000
# Chi-squared of fit: 1.07 DOF: 36 RMS: 0.04
# Min/Max residuals: -0.06 0.07
# Exact a, adot, b, bdot, g, gdot:
1.526757E-05 2.267048E-02 -1.175216E-07 -4.290492E-04 2.376613E-02 -6.947214E-04
# Covariance matrix:
2.9388E-13 9.5387E-12 -1.2185E-14 -6.1759E-15 2.8779E-12 2.3349E-10
9.5387E-12 1.0996E-07 -9.7854E-11 2.0656E-11 2.0599E-08 3.5671E-07
-1.2185E-14 -9.7854E-11 2.4597E-13 -9.9162E-13 -1.8352E-11 -3.2167E-10
-6.1759E-15 2.0656E-11 -9.9162E-13 1.0621E-11 3.8146E-12 5.4890E-11
2.8779E-12 2.0599E-08 -1.8352E-11 3.8146E-12 3.8653E-09 6.8179E-08
2.3349E-10 3.5671E-07 -3.2167E-10 5.4890E-11 6.8179E-08 1.4538E-06
# lat0 lon0 xBary yBary zBary JD0
2.413619 -72.490832 0.657124 0.032118 -0.765024 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 267.36376 +/- 22.306
Argument of Peri: 211.78423 +/- 20.598
Long of Asc Node: 172.71706 +/- 0.415
Inclination: 2.59217 +/- 0.008
Eccentricity: 0.04630149 +/- 0.0545
Semi-Major Axis: 42.67407119 +/- 0.6748
Time of Perihelion: 2485191.8071 +/- 6278.5
Perihelion: 40.69819820 +/- 2.4116
Aphelion: 44.64994418 +/- 2.4291
Period (y) 278.7753 +/- 6.61
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.25721554 +/- 0.0331
Ecliptic Y -41.02639374 +/- 0.1049
Ecliptic Z 1.77204731 +/- 0.0046
Ecliptic XDOT 0.00247532 +/- 0.0001
Ecliptic YDOT 0.00086354 +/- 0.0001
Ecliptic ZDOT -0.00005299 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.85492350 +/- 0.1008
Geocenter to KBO 42.07668880 +/- 0.1101
# Hcoef: 8.57
The following table shows the complete astrometric record for 20KC54. 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 (20KC54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 14 34.449 -19 53 58.58 24.8r 20KC54 266 C~6c5Z 2020 05 28.50129 19 14 34.251 -19 53 58.83 24.8r 20KC54 266 C~6c5Z 2020 05 28.55756 19 14 34.047 -19 53 59.08 24.8r 20KC54 266 C~6c5Z 2020 06 01.43269 19 14 19.812 -19 54 17.11 25.1r 20KC54 266 C~6c5Z 2020 06 01.47325 19 14 19.655 -19 54 17.32 25.1r 20KC54 266 C~6c5Z 2020 06 01.60571 19 14 19.140 -19 54 17.98 25.1r 20KC54 266 C~6c5Z 2020 06 20.45583 19 12 58.364 -19 56 16.46 24.9r 20KC54 266 C~6c5Z 2020 06 20.53000 19 12 58.011 -19 56 17.01 24.9r 20KC54 266 C~6c5Z 2020 06 20.62233 19 12 57.572 -19 56 17.68 24.9r 20KC54 266 C~6c5Z 2020 06 22.44948 19 12 48.975 -19 56 31.44 24.6r 20KC54 266 C~6c5Z 2020 06 22.52092 19 12 48.631 -19 56 31.99 24.6r 20KC54 266 C~6c5Z 2020 06 22.59118 19 12 48.292 -19 56 32.51 24.6r 20KC54 266 C~6c5Z 2020 06 25.44823 19 12 34.653 -19 56 54.77 25.1r 20KC54 266 C~6c5Z 2020 06 25.52653 19 12 34.269 -19 56 55.39 25.1r 20KC54 266 C~6c5Z 2020 06 25.60368 19 12 33.892 -19 56 55.98 25.1r 20KC54 266 C~6c5Z 2020 08 13.24332 19 08 46.254 -20 04 10.20 25.1r 20KC54 266 C~6c5Z 2020 08 13.33331 19 08 45.897 -20 04 10.99 25.1r 20KC54 266 C~6c5Z 2020 08 13.42301 19 08 45.542 -20 04 11.77 25.1r 20KC54 266 C~6c5Z 2020 08 15.24331 19 08 38.596 -20 04 27.47 24.1r 20KC54 266 C~7ulo 2020 08 15.33985 19 08 38.225 -20 04 28.31 24.1r 20KC54 266 C~7ulo 2020 08 15.42111 19 08 37.913 -20 04 29.00 24.1r 20KC54 266 C~7ulo
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 -0.03
2 0.0001 -2.80 -0.04 0.11 -0.04
3 0.0003 -5.69 -0.03 0.23 -0.04
4 0.0109 -207.12 0.04 7.86 0.04
5 0.0110 -209.35 0.05 7.93 0.04
6 0.0114 -216.63 0.05 8.20 0.04
7 0.0630 -1361.64 0.02 34.08 -0.01
8 0.0632 -1366.65 0.03 34.16 -0.01
9 0.0635 -1372.88 0.03 34.27 -0.01
10 0.0685 -1494.88 -0.02 35.74 0.02
11 0.0686 -1499.76 -0.01 35.80 0.02
12 0.0688 -1504.57 -0.02 35.88 0.02
13 0.0767 -1698.17 -0.02 37.74 -0.00
14 0.0769 -1703.62 -0.02 37.80 -0.01
15 0.0771 -1708.96 -0.02 37.87 -0.00
16 0.2103 -4947.31 0.07 -3.30 -0.06
17 0.2105 -4952.41 0.06 -3.49 -0.06
18 0.2107 -4957.47 0.06 -3.67 -0.06
19 0.2157 -5056.56 -0.06 -7.66 0.05
20 0.2160 -5061.85 -0.06 -7.87 0.06
21 0.2162 -5066.30 -0.06 -8.04 0.06
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.
20KC54 quality flag:1 Type: CLASSICAL CLASSICAL SCATNEAR axisobj 42.173 45.954 40.158 ecceobj 0.052 0.110 0.167 incobj 2.593 2.571 2.616 qmin 39.322 40.398 32.522 qmax 45.681 52.308 53.980 amean 42.391 46.218 41.956 amin 42.045 45.836 39.452 amax 42.749 46.638 43.844 emean 0.047 0.109 0.181 emin 0.024 0.096 0.132 emax 0.069 0.122 0.235 imean 3.678 2.862 2.715 imin 2.381 2.407 0.071 imax 4.872 3.244 7.500 excite_mean 0.080 0.120 0.190 fracstop 1.000 1.000 1.000 cjmean 3.075 3.111 3.036 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 182.5 177.5 176.4 kozaiamp 179.9 180.0 180.0