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: 20KD55
# Created Fri Nov 22 02:11:05 2024
# 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:
0.000002 0.023537 0.000005 -0.009392 0.029529 0.000000
# Chi-squared of fit: 0.37 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.06 0.04
# Exact a, adot, b, bdot, g, gdot:
1.758608E-05 3.509532E-02 -4.599140E-06 -9.384972E-03 3.150789E-02 2.981568E-03
# Covariance matrix:
2.8608E-13 6.4092E-11 -2.3398E-14 -6.0184E-13 1.2909E-11 3.0815E-10
6.4092E-11 2.8154E-07 -1.2101E-10 -1.2408E-09 5.2056E-08 6.5249E-07
-2.3398E-14 -1.2101E-10 2.2624E-13 -5.0867E-13 -2.2334E-11 -2.7302E-10
-6.0184E-13 -1.2408E-09 -5.0867E-13 1.7863E-11 -2.3224E-10 -3.3859E-09
1.2909E-11 5.2056E-08 -2.2334E-11 -2.3224E-10 9.6332E-09 1.2206E-07
3.0815E-10 6.5249E-07 -2.7302E-10 -3.3859E-09 1.2206E-07 1.7671E-06
# lat0 lon0 xBary yBary zBary JD0
2.045275 -72.825212 0.626557 0.028102 -0.790511 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 26.22056 +/- 7.190
Argument of Peri: 138.60859 +/- 10.338
Long of Asc Node: 113.54400 +/- 0.112
Inclination: 15.00116 +/- 0.220
Eccentricity: 0.12586361 +/- 0.0401
Semi-Major Axis: 36.53055232 +/- 0.9944
Time of Perihelion: 2453116.6587 +/- 1592.8
Perihelion: 31.93268511 +/- 1.7039
Aphelion: 41.12841952 +/- 1.8442
Period (y) 220.7967 +/- 9.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.00642297 +/- 0.0292
Ecliptic Y -31.25113396 +/- 0.0944
Ecliptic Z 1.13263117 +/- 0.0035
Ecliptic XDOT 0.00300675 +/- 0.0001
Ecliptic YDOT 0.00062889 +/- 0.0001
Ecliptic ZDOT -0.00080597 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.54277004 +/- 0.0910
Geocenter to KBO 31.73808231 +/- 0.0989
# Hcoef: 11.04
The following table shows the complete astrometric record for 20KD55. 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 (20KD55) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 13 21.625 -20 18 25.88 25.9r 20KD55 266 C~6c5b 2020 05 30.53044 19 13 21.190 -20 18 26.92 25.9r 20KD55 266 C~6c5b 2020 05 30.61862 19 13 20.769 -20 18 27.89 25.9r 20KD55 266 C~6c5b 2020 06 01.43269 19 13 12.174 -20 18 48.43 26.4r 20KD55 266 C~6c5b 2020 06 01.47325 19 13 11.974 -20 18 48.91 26.4r 20KD55 266 C~6c5b 2020 06 01.60571 19 13 11.319 -20 18 50.44 26.4r 20KD55 266 C~6c5b 2020 06 21.45390 19 11 22.184 -20 23 12.89 25.9r 20KD55 266 C~6c5b 2020 06 21.53376 19 11 21.693 -20 23 14.06 25.9r 20KD55 266 C~6c5b 2020 06 21.61261 19 11 21.209 -20 23 15.19 25.9r 20KD55 266 C~6c5b 2020 06 24.43648 19 11 04.028 -20 23 57.20 26.0r 20KD55 266 C~6c5b 2020 06 24.51619 19 11 03.530 -20 23 58.39 26.0r 20KD55 266 C~6c5b 2020 06 24.59604 19 11 03.031 -20 23 59.57 26.0r 20KD55 266 C~6c5b 2020 08 12.26680 19 06 11.426 -20 36 57.22 26.1r 20KD55 266 C~6c5b 2020 08 12.34843 19 06 11.014 -20 36 58.48 26.1r 20KD55 266 C~6c5b 2020 08 12.42950 19 06 10.605 -20 36 59.71 26.1r 20KD55 266 C~6c5b 2020 08 14.24286 19 06 01.814 -20 37 27.40 26.3r 20KD55 266 C~6c5b 2020 08 14.33285 19 06 01.373 -20 37 28.78 26.3r 20KD55 266 C~6c5b 2020 08 14.42134 19 06 00.941 -20 37 30.11 26.3r 20KD55 266 C~6c5b
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 -0.02
2 0.0002 -6.20 -0.00 -0.27 -0.03
3 0.0005 -12.20 0.01 -0.49 -0.02
4 0.0055 -134.73 -0.00 -5.74 0.04
5 0.0056 -137.58 -0.01 -5.86 0.04
6 0.0059 -146.91 -0.01 -6.23 0.04
7 0.0603 -1702.47 0.02 -76.93 0.04
8 0.0605 -1709.46 0.02 -77.25 0.03
9 0.0607 -1716.36 0.02 -77.54 0.04
10 0.0684 -1961.26 -0.02 -89.77 -0.06
11 0.0687 -1968.35 -0.01 -90.10 -0.05
12 0.0689 -1975.46 -0.01 -90.41 -0.06
13 0.2021 -6137.23 -0.02 -378.97 -0.01
14 0.2024 -6143.13 -0.01 -379.56 -0.01
15 0.2026 -6148.98 -0.01 -380.12 -0.01
16 0.2075 -6274.87 0.01 -393.54 0.01
17 0.2078 -6281.18 0.01 -394.21 0.01
18 0.2080 -6287.36 0.01 -394.83 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.
20KD55 quality flag:1 Type: 4:3E CENTAURR CENTAURR axisobj 36.030 42.389 32.289 ecceobj 0.115 0.284 0.037 incobj 15.045 14.305 15.880 qmin 30.822 30.198 28.255 qmax 42.700 55.925 41.679 amean 36.478 42.531 32.831 amin 35.980 41.735 31.582 amax 36.970 43.515 35.385 emean 0.129 0.277 0.056 emin 0.103 0.260 0.001 emax 0.156 0.291 0.178 imean 11.784 13.320 13.730 imin 9.334 12.701 12.866 imax 15.718 13.725 14.314 excite_mean 0.242 0.361 0.247 fracstop 1.000 0.007 0.073 cjmean 2.959 2.931 2.939 libcent 0 183.1 -180.0 -180.0 libamp 0 136.0 -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 176.0 148.5 162.1 kozaiamp 180.0 13.9 179.9