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: 20KC56
# Created Sun Apr 27 01:11:21 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 78.97d
# First observation: 2020/05/28
# Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.031987 -0.000000 0.004937 0.027250 0.000000
# Chi-squared of fit: 0.09 DOF: 24 RMS: 0.01
# Min/Max residuals: -0.03 0.03
# Exact a, adot, b, bdot, g, gdot:
1.721665E-05 2.913554E-02 3.048430E-06 4.929022E-03 2.670208E-02 -1.949473E-03
# Covariance matrix:
3.7193E-13 6.6399E-11 -2.4989E-14 1.9517E-12 2.0429E-11 1.8669E-09
6.6399E-11 3.9130E-07 -6.5331E-11 1.2733E-09 7.6003E-08 1.7354E-06
-2.4989E-14 -6.5331E-11 1.8303E-13 -1.1706E-12 -1.3226E-11 -4.0383E-10
1.9517E-12 1.2733E-09 -1.1706E-12 2.9434E-11 3.1481E-10 2.0010E-08
2.0429E-11 7.6003E-08 -1.3226E-11 3.1481E-10 1.5050E-08 3.9818E-07
1.8669E-09 1.7354E-06 -4.0383E-10 2.0010E-08 3.9818E-07 2.0699E-05
# lat0 lon0 xBary yBary zBary JD0
2.033363 -71.970632 0.664049 0.026828 -0.759227 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 342.26810 +/- 28.376
Argument of Peri: 39.37892 +/- 46.234
Long of Asc Node: 275.43975 +/- 0.254
Inclination: 9.81716 +/- 0.205
Eccentricity: 0.21385217 +/- 0.0671
Semi-Major Axis: 47.64554165 +/- 1.5801
Time of Perihelion: 2464907.2694 +/- 9464.1
Perihelion: 37.45643912 +/- 3.4310
Aphelion: 57.83464417 +/- 3.7293
Period (y) 328.8831 +/- 16.36
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.19304572 +/- 0.0532
Ecliptic Y -36.52371942 +/- 0.1635
Ecliptic Z 1.32897384 +/- 0.0061
Ecliptic XDOT 0.00278142 +/- 0.0002
Ecliptic YDOT 0.00113514 +/- 0.0004
Ecliptic ZDOT 0.00049775 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.22345515 +/- 0.1570
Geocenter to KBO 37.45026960 +/- 0.1721
# Hcoef: 9.48
The following table shows the complete astrometric record for 20KC56. 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 (20KC56) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 16 58.697 -20 12 34.19 25.5r 20KC56 266 C~6c5d 2020 05 28.50129 19 16 58.483 -20 12 34.32 25.5r 20KC56 266 C~6c5d 2020 05 28.55756 19 16 58.261 -20 12 34.44 25.5r 20KC56 266 C~6c5d 2020 05 30.43935 19 16 50.915 -20 12 38.71 25.1r 20KC56 266 C~6c5d 2020 05 30.53044 19 16 50.544 -20 12 38.95 25.1r 20KC56 266 C~6c5d 2020 05 30.61862 19 16 50.184 -20 12 39.16 25.1r 20KC56 266 C~6c5d 2020 06 01.43269 19 16 42.849 -20 12 43.98 25.6r 20KC56 266 C~6c5d 2020 06 01.47325 19 16 42.678 -20 12 44.11 25.6r 20KC56 266 C~6c5d 2020 06 01.60571 19 16 42.119 -20 12 44.48 25.6r 20KC56 266 C~6c5d 2020 08 13.24332 19 10 36.044 -20 20 07.44 25.2r 20KC56 266 C~6c5d 2020 08 13.33331 19 10 35.650 -20 20 08.04 25.2r 20KC56 266 C~6c5d 2020 08 13.42301 19 10 35.258 -20 20 08.60 25.2r 20KC56 266 C~6c5d 2020 08 15.24331 19 10 27.612 -20 20 20.23 24.9r 20KC56 266 C~7ulo 2020 08 15.34125 19 10 27.197 -20 20 20.86 24.9r 20KC56 266 C~7ulo 2020 08 15.42111 19 10 26.859 -20 20 21.35 24.9r 20KC56 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 0.01 0.00 -0.03
2 0.0001 -3.00 0.01 0.27 -0.03
3 0.0003 -6.12 -0.00 0.56 -0.02
4 0.0055 -109.19 -0.00 9.88 0.03
5 0.0057 -114.40 -0.01 10.33 0.03
6 0.0059 -119.45 -0.01 10.78 0.03
7 0.0109 -222.44 0.01 19.52 0.00
8 0.0110 -224.85 -0.00 19.70 -0.00
9 0.0114 -232.70 -0.00 20.36 -0.00
10 0.2103 -5399.56 0.01 231.09 0.01
11 0.2105 -5405.14 0.00 231.17 0.00
12 0.2107 -5410.68 -0.00 231.28 0.01
13 0.2157 -5518.92 -0.00 232.81 -0.01
14 0.2160 -5524.79 -0.00 232.89 -0.01
15 0.2162 -5529.57 -0.00 232.98 -0.01
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.
20KC56 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0