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: 20KD54
# Created Mon Apr 28 01:11:21 2025
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 76.98d
# First observation: 2020/05/30
# Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
-0.000003 0.018375 0.000006 -0.008099 0.023039 0.000000
# Chi-squared of fit: 0.50 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.07 0.06
# Exact a, adot, b, bdot, g, gdot:
1.651230E-05 2.534500E-02 -5.357689E-06 -8.094209E-03 2.425835E-02 8.152796E-03
# Covariance matrix:
5.4892E-13 1.1405E-10 -8.5232E-14 -1.1301E-12 2.3217E-11 7.3996E-10
1.1405E-10 2.0554E-07 -1.7540E-10 -9.1530E-10 3.8571E-08 7.1503E-07
-8.5232E-14 -1.7540E-10 3.6485E-13 -5.7394E-13 -3.2841E-11 -5.9361E-10
-1.1301E-12 -9.1530E-10 -5.7394E-13 1.8662E-11 -1.7535E-10 -3.9582E-09
2.3217E-11 3.8571E-08 -3.2841E-11 -1.7535E-10 7.2478E-09 1.3615E-07
7.3996E-10 7.1503E-07 -5.9361E-10 -3.9582E-09 1.3615E-07 2.9128E-06
# lat0 lon0 xBary yBary zBary JD0
2.448051 -71.945527 0.638627 0.033244 -0.780590 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 17.37521 +/- 3.274
Argument of Peri: 120.48965 +/- 3.853
Long of Asc Node: 114.74111 +/- 0.136
Inclination: 17.69471 +/- 0.304
Eccentricity: 0.48032206 +/- 0.0843
Semi-Major Axis: 70.91738031 +/- 8.8438
Time of Perihelion: 2448462.2796 +/- 241.1
Perihelion: 36.85419842 +/- 7.5416
Aphelion: 104.98056220 +/- 14.3925
Period (y) 597.2240 +/- 111.72
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.40483431 +/- 0.0448
Ecliptic Y -40.10500407 +/- 0.1374
Ecliptic Z 1.76062674 +/- 0.0062
Ecliptic XDOT 0.00302477 +/- 0.0001
Ecliptic YDOT -0.00002105 +/- 0.0002
Ecliptic ZDOT -0.00087363 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.01655712 +/- 0.1318
Geocenter to KBO 41.22291598 +/- 0.1447
# Hcoef: 9.99
The following table shows the complete astrometric record for 20KD54. 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 (20KD54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 16 51.163 -19 47 42.36 26.4r 20KD54 266 C~6c5Z 2020 05 30.53044 19 16 50.829 -19 47 43.19 26.4r 20KD54 266 C~6c5Z 2020 05 30.61862 19 16 50.505 -19 47 43.98 26.4r 20KD54 266 C~6c5Z 2020 06 20.45583 19 15 23.879 -19 51 23.80 26.3r 20KD54 266 C~6c5Z 2020 06 20.52860 19 15 23.536 -19 51 24.67 26.3r 20KD54 266 C~6c5Z 2020 06 20.62233 19 15 23.096 -19 51 25.76 26.3r 20KD54 266 C~6c5Z 2020 06 22.44948 19 15 14.611 -19 51 47.69 26.2r 20KD54 266 C~6c5Z 2020 06 22.52092 19 15 14.271 -19 51 48.56 26.2r 20KD54 266 C~6c5Z 2020 06 22.59118 19 15 13.936 -19 51 49.39 26.2r 20KD54 266 C~6c5Z 2020 06 25.44823 19 15 00.454 -19 52 24.44 26.4r 20KD54 266 C~6c5Z 2020 06 25.53072 19 15 00.055 -19 52 25.46 26.4r 20KD54 266 C~6c5Z 2020 06 25.61487 19 14 59.648 -19 52 26.48 26.4r 20KD54 266 C~6c5Z 2020 08 13.24332 19 11 13.744 -20 03 21.89 26.7r 20KD54 266 C~6c5Z 2020 08 13.33331 19 11 13.390 -20 03 23.09 26.7r 20KD54 266 C~6c5Z 2020 08 13.42301 19 11 13.037 -20 03 24.27 26.7r 20KD54 266 C~6c5Z 2020 08 15.24331 19 11 06.158 -20 03 48.24 24.9r 20KD54 266 C~7ulo 2020 08 15.33985 19 11 05.790 -20 03 49.51 24.9r 20KD54 266 C~7ulo 2020 08 15.42111 19 11 05.480 -20 03 50.57 24.9r 20KD54 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 0.00 0.00 0.02
2 0.0002 -4.78 -0.00 -0.21 0.02
3 0.0005 -9.42 0.00 -0.39 0.01
4 0.0575 -1250.00 -0.02 -59.50 -0.07
5 0.0577 -1254.92 -0.02 -59.74 -0.07
6 0.0580 -1261.21 -0.02 -60.02 -0.07
7 0.0630 -1382.75 0.00 -66.36 -0.01
8 0.0632 -1387.62 0.01 -66.60 -0.01
9 0.0634 -1392.41 0.01 -66.82 -0.00
10 0.0712 -1585.54 0.00 -77.14 0.06
11 0.0714 -1591.26 0.02 -77.43 0.06
12 0.0717 -1597.08 0.02 -77.71 0.06
13 0.2048 -4839.92 -0.02 -328.24 0.01
14 0.2050 -4845.02 -0.02 -328.82 0.01
15 0.2053 -4850.11 -0.03 -329.38 0.01
16 0.2103 -4949.30 0.02 -341.29 -0.01
17 0.2105 -4954.60 0.03 -341.91 -0.00
18 0.2108 -4959.07 0.02 -342.43 -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.
20KD54 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