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: 20KO53
# Created Sun Nov 24 02:11:02 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 76.97d
# First observation: 2020/05/29
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.014708 0.000004 -0.004359 0.021179 0.000000
# Chi-squared of fit: 0.09 DOF: 30 RMS: 0.01
# Min/Max residuals: -0.02 0.03
# Exact a, adot, b, bdot, g, gdot:
1.452840E-05 2.041898E-02 -3.069211E-06 -4.356677E-03 2.215765E-02 2.427045E-03
# Covariance matrix:
3.0011E-13 7.0200E-11 -4.3974E-14 -4.0054E-13 1.4071E-11 4.3777E-10
7.0200E-11 1.6848E-07 -1.0775E-10 -5.0334E-10 3.1312E-08 5.5258E-07
-4.3974E-14 -1.0775E-10 2.4436E-13 -7.0445E-13 -2.0013E-11 -3.5001E-10
-4.0054E-13 -5.0334E-10 -7.0445E-13 1.3006E-11 -9.5207E-11 -2.0562E-09
1.4071E-11 3.1312E-08 -2.0013E-11 -9.5207E-11 5.8269E-09 1.0450E-07
4.3777E-10 5.5258E-07 -3.5001E-10 -2.0562E-09 1.0450E-07 2.2531E-06
# lat0 lon0 xBary yBary zBary JD0
2.630896 -73.045194 0.636636 0.035807 -0.782051 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 56.23624 +/- 7.091
Argument of Peri: 99.65292 +/- 6.126
Long of Asc Node: 118.19597 +/- 0.242
Inclination: 12.22148 +/- 0.238
Eccentricity: 0.11466460 +/- 0.0805
Semi-Major Axis: 48.53276693 +/- 2.1503
Time of Perihelion: 2439699.0553 +/- 2067.2
Perihelion: 42.96777652 +/- 4.3442
Aphelion: 54.09775735 +/- 4.5818
Period (y) 338.1122 +/- 22.47
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.77213941 +/- 0.0453
Ecliptic Y -44.06535901 +/- 0.1486
Ecliptic Z 2.07152671 +/- 0.0071
Ecliptic XDOT 0.00251604 +/- 0.0001
Ecliptic YDOT 0.00042911 +/- 0.0002
Ecliptic ZDOT -0.00052422 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.92575130 +/- 0.1431
Geocenter to KBO 45.13113881 +/- 0.1555
# Hcoef: 8.90
The following table shows the complete astrometric record for 20KO53. 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 (20KO53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 12 07.325 -19 45 12.29 25.4r 20KO53 266 C~6c5X 2020 05 29.53371 19 12 07.023 -19 45 12.84 25.4r 20KO53 266 C~6c5X 2020 05 29.61905 19 12 06.724 -19 45 13.36 25.4r 20KO53 266 C~6c5X 2020 05 31.44139 19 12 00.413 -19 45 24.91 25.5r 20KO53 266 C~6c5X 2020 05 31.52961 19 12 00.095 -19 45 25.50 25.5r 20KO53 266 C~6c5X 2020 05 31.61814 19 11 59.776 -19 45 26.06 25.5r 20KO53 266 C~6c5X 2020 06 21.45390 19 10 36.037 -19 48 09.42 25.3r 20KO53 266 C~6c5X 2020 06 21.53376 19 10 35.678 -19 48 10.14 25.3r 20KO53 266 C~6c5X 2020 06 21.61261 19 10 35.325 -19 48 10.83 25.3r 20KO53 266 C~6c5X 2020 06 24.43648 19 10 22.783 -19 48 36.79 25.5r 20KO53 266 C~6c5X 2020 06 24.51899 19 10 22.407 -19 48 37.56 25.5r 20KO53 266 C~6c5X 2020 06 24.61428 19 10 21.973 -19 48 38.43 25.5r 20KO53 266 C~6c5X 2020 08 12.26680 19 06 49.192 -19 57 04.53 25.5r 20KO53 266 C~6c5X 2020 08 12.34843 19 06 48.888 -19 57 05.39 25.5r 20KO53 266 C~6c5X 2020 08 12.42950 19 06 48.586 -19 57 06.22 25.5r 20KO53 266 C~6c5X 2020 08 14.24286 19 06 42.088 -19 57 24.93 25.5r 20KO53 266 C~6c5X 2020 08 14.33285 19 06 41.763 -19 57 25.87 25.5r 20KO53 266 C~6c5X 2020 08 14.42134 19 06 41.443 -19 57 26.77 25.5r 20KO53 266 C~6c5X
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 -0.01
2 0.0002 -4.30 0.01 -0.02 -0.01
3 0.0005 -8.55 0.00 -0.02 -0.01
4 0.0055 -98.39 -0.01 -0.51 0.00
5 0.0057 -102.92 -0.01 -0.54 -0.01
6 0.0059 -107.46 -0.01 -0.54 0.00
7 0.0630 -1300.55 -0.01 -18.42 0.02
8 0.0632 -1305.67 -0.02 -18.53 0.02
9 0.0634 -1310.69 -0.01 -18.61 0.03
10 0.0712 -1489.54 0.01 -22.99 -0.01
11 0.0714 -1494.90 0.02 -23.11 -0.01
12 0.0716 -1501.09 0.01 -23.24 -0.01
13 0.2048 -4542.05 0.00 -171.45 -0.02
14 0.2051 -4546.40 0.01 -171.81 -0.02
15 0.2053 -4550.73 -0.00 -172.14 -0.02
16 0.2103 -4643.94 -0.00 -180.16 0.02
17 0.2105 -4648.61 0.00 -180.56 0.01
18 0.2107 -4653.19 -0.01 -180.94 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.
20KO53 quality flag:1 Type: CLASSICAL11:4EEEEEE CLASSICAL axisobj 47.870 58.621 43.167 ecceobj 0.107 0.336 0.100 incobj 12.261 11.557 13.076 qmin 42.192 37.899 38.058 qmax 54.571 81.339 48.900 amean 48.190 59.100 43.356 amin 47.784 58.434 43.003 amax 48.631 59.937 43.739 emean 0.108 0.345 0.104 emin 0.096 0.332 0.088 emax 0.122 0.357 0.119 imean 10.733 9.510 11.591 imin 10.422 8.994 10.928 imax 11.077 10.187 12.319 excite_mean 0.215 0.382 0.226 fracstop 1.000 1.000 1.000 cjmean 3.096 3.104 3.033 libcent 0 -180.0 178.9 -180.0 libamp 0 -180.0 48.1 -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 191.1 197.7 175.6 kozaiamp 180.0 180.0 179.9