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: 20KT11
# Created Fri Apr 26 01:18:34 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 160.73d
# First observation: 2020/05/26
# Last observation: 2020/11/03
Preliminary a, adot, b, bdot, g, gdot:
-0.000011 0.017382 0.000002 0.007126 0.020439 0.000000
# Chi-squared of fit: 1.85 DOF: 38 RMS: 0.05
# Min/Max residuals: -0.11 0.14
# Exact a, adot, b, bdot, g, gdot:
1.143677E-05 1.376085E-02 5.484393E-06 7.166369E-03 1.978098E-02 -1.287270E-03
# Covariance matrix:
2.4400E-13 -5.4775E-12 -1.2087E-14 4.4387E-13 -1.0262E-14 2.0019E-10
-5.4775E-12 4.8031E-10 6.9576E-13 -3.2007E-11 2.3911E-11 -1.5586E-08
-1.2087E-14 6.9576E-13 1.3918E-13 -4.7285E-13 1.3048E-14 -2.5841E-11
4.4387E-13 -3.2007E-11 -4.7285E-13 4.8183E-12 -1.1176E-12 1.1139E-09
-1.0262E-14 2.3911E-11 1.3048E-14 -1.1176E-12 2.3173E-12 -6.1788E-10
2.0019E-10 -1.5586E-08 -2.5841E-11 1.1139E-09 -6.1788E-10 5.3180E-07
# lat0 lon0 xBary yBary zBary JD0
2.241141 -73.480805 0.668687 0.029415 -0.754919 2458996.010801
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 211.49144 +/- 9.805
Argument of Peri: 163.50376 +/- 9.655
Long of Asc Node: 281.53479 +/- 0.005
Inclination: 27.53567 +/- 0.028
Eccentricity: 0.21051664 +/- 0.0129
Semi-Major Axis: 43.16652593 +/- 0.2910
Time of Perihelion: 2501723.9613 +/- 2788.2
Perihelion: 34.07925403 +/- 0.6008
Aphelion: 52.25379784 +/- 0.6575
Period (y) 283.6148 +/- 2.87
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.94252860 +/- 0.0011
Ecliptic Y -49.35122934 +/- 0.0037
Ecliptic Z 1.97726400 +/- 0.0002
Ecliptic XDOT 0.00177247 +/- 0.0000
Ecliptic YDOT 0.00075293 +/- 0.0001
Ecliptic ZDOT 0.00098393 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 51.32102410 +/- 0.0036
Geocenter to KBO 50.55361761 +/- 0.0039
# Hcoef: 9.15
The following table shows the complete astrometric record for 20KT11. 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 (20KT11) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.510 19 10 29.147 -20 11 35.91 26.9R 20KT11 266 C~4Al3 2020 05 26.531 19 10 29.079 -20 11 35.90 26.9R 20KT11 266 C~4Al3 2020 05 29.44698 19 10 19.675 -20 11 34.98 26.0r 20KT11 266 C~6VL7 2020 05 29.53371 19 10 19.382 -20 11 34.98 26.0r 20KT11 266 C~5Zeg 2020 05 29.61905 19 10 19.093 -20 11 34.96 26.0r 20KT11 266 C~5Zeg 2020 05 31.44139 19 10 12.976 -20 11 34.91 26.2r 20KT11 266 C~5Zeg 2020 05 31.52961 19 10 12.669 -20 11 34.93 26.2r 20KT11 266 C~5Zeg 2020 05 31.61814 19 10 12.361 -20 11 34.93 26.2r 20KT11 266 C~6VL7 2020 06 24.43648 19 08 39.583 -20 12 06.32 26.0r 20KT11 266 C~5Zeg 2020 06 24.52739 19 08 39.190 -20 12 06.53 26.0r 20KT11 266 C~5Zeg 2020 06 24.61708 19 08 38.803 -20 12 06.72 26.0r 20KT11 266 C~6VL7 2020 08 12.26680 19 05 17.232 -20 14 40.53 26.1r 20KT11 266 C~6VL7 2020 08 12.34983 19 05 16.937 -20 14 40.79 26.1r 20KT11 266 C~5Zeg 2020 08 12.42950 19 05 16.655 -20 14 41.02 26.1r 20KT11 266 C~5Zeg 2020 08 14.24286 19 05 10.449 -20 14 46.47 26.0r 20KT11 266 C~6VL7 2020 08 14.33285 19 05 10.138 -20 14 46.74 26.0r 20KT11 266 C~5Zeg 2020 08 14.42134 19 05 09.833 -20 14 47.00 26.0r 20KT11 266 C~5Zeg 2020 11 03.215866 19 04 30.355 -20 13 49.97 20KT11 250 S~5zHB 2020 11 03.222185 19 04 30.366 -20 13 49.93 20KT11 250 S~5zHB 2020 11 03.228504 19 04 30.378 -20 13 49.85 20KT11 250 S~5zHB 2020 11 03.234824 19 04 30.389 -20 13 49.72 20KT11 250 S~5zHB 2020 11 03.241143 19 04 30.404 -20 13 49.64 20KT11 250 S~5zHB
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 -0.09 0.00 0.05
2 0.0001 -0.95 -0.09 0.13 0.05
3 0.0080 -132.27 0.04 16.98 -0.01
4 0.0083 -136.36 0.04 17.47 -0.01
5 0.0085 -140.40 0.04 17.98 -0.01
6 0.0135 -225.88 0.04 28.38 -0.00
7 0.0137 -230.17 0.04 28.88 -0.01
8 0.0140 -234.48 0.05 29.40 -0.01
9 0.0792 -1535.06 -0.02 153.58 -0.02
10 0.0794 -1540.58 -0.02 154.02 -0.02
11 0.0797 -1546.02 -0.02 154.47 -0.02
12 0.2129 -4382.64 -0.01 328.70 -0.01
13 0.2131 -4386.80 -0.01 328.91 -0.01
14 0.2133 -4390.77 -0.01 329.13 -0.00
15 0.2183 -4478.21 0.02 333.55 0.00
16 0.2185 -4482.59 0.01 333.77 0.01
17 0.2188 -4486.88 0.01 334.00 0.00
18 0.4400 -5032.90 0.14 452.97 -0.09
19 0.4400 -5032.74 0.06 452.99 -0.08
20 0.4400 -5032.56 -0.01 453.05 -0.02
21 0.4400 -5032.40 -0.08 453.16 0.08
22 0.4401 -5032.18 -0.11 453.22 0.13
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.
20KT11 quality flag:2 Type: SCATNEAR SCATNEAR SCATEXTD axisobj 42.810 44.060 42.479 ecceobj 0.220 0.274 0.204 incobj 27.698 27.615 27.776 qmin 31.594 30.487 32.425 qmax 54.779 59.420 53.306 amean 42.807 44.484 42.599 amin 42.267 43.681 42.195 amax 43.625 45.178 43.039 emean 0.230 0.268 0.216 emin 0.207 0.218 0.193 emax 0.263 0.318 0.240 imean 28.957 29.411 29.021 imin 28.069 27.994 28.318 imax 29.551 30.711 29.689 excite_mean 0.536 0.560 0.531 fracstop 1.000 1.000 1.000 cjmean 2.734 2.715 2.737 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 185.4 184.8 186.1 kozaiamp 179.9 180.0 180.0