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: 20KZ54
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 26.17d
# First observation: 2020/05/29
# Last observation: 2020/06/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.020296 -0.000000 -0.003204 0.021544 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 0.61 DOF: 25 RMS: 0.04
# Min/Max residuals: -0.06 0.06
# Exact a, adot, b, bdot, g, gdot:
1.273527E-05 1.722338E-02 -2.467594E-06 -3.127727E-03 2.089847E-02 -9.658078E-03
# Covariance matrix:
5.2289E-13 6.9627E-10 -2.8997E-14 -1.5063E-11 1.3164E-10 3.7957E-09
6.9627E-10 1.4738E-06 -6.0850E-11 -3.1359E-08 2.7495E-07 5.9248E-06
-2.8997E-14 -6.0850E-11 1.7660E-13 -1.4295E-12 -1.1363E-11 -2.5230E-10
-1.5063E-11 -3.1359E-08 -1.4295E-12 7.6643E-10 -5.8642E-09 -1.3686E-07
1.3164E-10 2.7495E-07 -1.1363E-11 -5.8642E-09 5.1386E-08 1.1751E-06
3.7957E-09 5.9248E-06 -2.5230E-10 -1.3686E-07 1.1751E-06 8.0105E-05
# lat0 lon0 xBary yBary zBary JD0
2.351439 -73.098703 0.635905 0.032017 -0.782810 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 313.39142 +/- 42.249
Argument of Peri: 273.46552 +/- 11.437
Long of Asc Node: 118.64828 +/- 0.810
Inclination: 10.57648 +/- 0.668
Eccentricity: 0.50679681 +/- 0.4275
Semi-Major Axis: 56.22100474 +/- 29.5110
Time of Perihelion: 2478925.1999 +/- 8953.9
Perihelion: 27.72837893 +/- 28.0958
Aphelion: 84.71363054 +/- 50.5455
Period (y) 421.5568 +/- 331.92
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.52448481 +/- 0.1507
Ecliptic Y -46.68640179 +/- 0.4962
Ecliptic Z 1.96319858 +/- 0.0213
Ecliptic XDOT 0.00180439 +/- 0.0004
Ecliptic YDOT 0.00185306 +/- 0.0011
Ecliptic ZDOT -0.00046156 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.64551315 +/- 0.4781
Geocenter to KBO 47.85039881 +/- 0.5190
# Hcoef: 9.52
The following table shows the complete astrometric record for 20KZ54. 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 (20KZ54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 12 02.570 -20 02 14.38 26.4r 20KZ54 266 C~6c5a 2020 05 29.53371 19 12 02.277 -20 02 14.88 26.4r 20KZ54 266 C~6c5a 2020 05 29.61905 19 12 01.987 -20 02 15.36 26.4r 20KZ54 266 C~6c5a 2020 05 30.43935 19 11 59.259 -20 02 20.07 26.3r 20KZ54 266 C~6c5a 2020 05 30.53044 19 11 58.946 -20 02 20.61 26.3r 20KZ54 266 C~6c5a 2020 05 30.61862 19 11 58.642 -20 02 21.11 26.3r 20KZ54 266 C~6c5a 2020 05 31.44139 19 11 55.859 -20 02 25.98 26.3r 20KZ54 266 C~6c5a 2020 05 31.52961 19 11 55.551 -20 02 26.52 26.3r 20KZ54 266 C~6c5a 2020 05 31.61814 19 11 55.242 -20 02 27.04 26.3r 20KZ54 266 C~6c5a 2020 06 21.45390 19 10 34.270 -20 04 55.89 26.4r 20KZ54 266 C~6c5a 2020 06 21.53376 19 10 33.924 -20 04 56.54 26.4r 20KZ54 266 C~6c5a 2020 06 21.61261 19 10 33.583 -20 04 57.18 26.4r 20KZ54 266 C~6c5a 2020 06 24.43648 19 10 21.468 -20 05 20.80 26.2r 20KZ54 266 C~6c5a 2020 06 24.51899 19 10 21.105 -20 05 21.49 26.2r 20KZ54 266 C~6c5a 2020 06 24.61428 19 10 20.686 -20 05 22.28 26.2r 20KZ54 266 C~6c5a
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 0.06 0.00 0.02
2 0.0002 -4.16 0.06 0.01 0.02
3 0.0005 -8.27 0.05 0.04 0.02
4 0.0027 -47.00 0.02 0.09 0.01
5 0.0030 -51.45 0.02 0.10 0.01
6 0.0032 -55.76 0.01 0.13 0.01
7 0.0055 -95.28 -0.05 0.12 -0.03
8 0.0057 -99.65 -0.06 0.12 -0.04
9 0.0059 -104.04 -0.05 0.14 -0.04
10 0.0630 -1254.58 0.04 -8.52 0.02
11 0.0632 -1259.49 0.04 -8.57 0.02
12 0.0634 -1264.34 0.04 -8.63 0.02
13 0.0712 -1436.62 -0.02 -11.47 -0.02
14 0.0714 -1441.78 -0.01 -11.53 -0.02
15 0.0716 -1447.74 -0.02 -11.61 -0.02
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.
20KZ54 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