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: 20KN53
# Created Mon Apr 28 01:11:20 2025
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 77.97d
# First observation: 2020/05/28
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000004 0.019959 0.000006 0.004161 0.024676 0.000000
# Chi-squared of fit: 0.43 DOF: 54 RMS: 0.02
# Min/Max residuals: -0.04 0.06
# Exact a, adot, b, bdot, g, gdot:
1.607339E-05 2.628503E-02 2.707516E-06 4.150003E-03 2.573008E-02 -1.205076E-03
# Covariance matrix:
1.9628E-13 -1.6422E-12 -4.3402E-15 1.1956E-13 4.2107E-13 1.2278E-10
-1.6422E-12 8.5622E-08 -7.4293E-11 1.9701E-10 1.5959E-08 2.5224E-07
-4.3402E-15 -7.4293E-11 1.7139E-13 -9.2018E-13 -1.3882E-11 -2.2606E-10
1.1956E-13 1.9701E-10 -9.2018E-13 1.0122E-11 3.7522E-11 7.5063E-10
4.2107E-13 1.5959E-08 -1.3882E-11 3.7522E-11 2.9787E-09 4.7844E-08
1.2278E-10 2.5224E-07 -2.2606E-10 7.5063E-10 4.7844E-08 9.1870E-07
# lat0 lon0 xBary yBary zBary JD0
2.143672 -72.806065 0.652901 0.028648 -0.768768 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 326.97463 +/- 17.376
Argument of Peri: 53.43834 +/- 21.970
Long of Asc Node: 273.19096 +/- 0.144
Inclination: 9.22154 +/- 0.097
Eccentricity: 0.10334939 +/- 0.0137
Semi-Major Axis: 43.23838307 +/- 0.5497
Time of Perihelion: 2468517.3163 +/- 5009.2
Perihelion: 38.76972263 +/- 0.7718
Aphelion: 47.70704352 +/- 0.8489
Period (y) 284.3232 +/- 5.42
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.09003399 +/- 0.0244
Ecliptic Y -38.03692123 +/- 0.0787
Ecliptic Z 1.45393793 +/- 0.0031
Ecliptic XDOT 0.00263726 +/- 0.0001
Ecliptic YDOT 0.00096851 +/- 0.0001
Ecliptic ZDOT 0.00043625 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.64732231 +/- 0.0758
Geocenter to KBO 38.86502461 +/- 0.0824
# Hcoef: 9.03
The following table shows the complete astrometric record for 20KN53. 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 (20KN53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 13 23.328 -20 12 25.81 24.9r 20KN53 266 C~6c5X 2020 05 28.50129 19 13 23.114 -20 12 25.95 24.9r 20KN53 266 C~6c5X 2020 05 28.55756 19 13 22.894 -20 12 26.08 24.9r 20KN53 266 C~6c5X 2020 05 30.43935 19 13 15.572 -20 12 30.55 25.0r 20KN53 266 C~6c5X 2020 05 30.53044 19 13 15.203 -20 12 30.79 25.0r 20KN53 266 C~6c5X 2020 05 30.61862 19 13 14.845 -20 12 31.01 25.0r 20KN53 266 C~6c5X 2020 06 01.43269 19 13 07.545 -20 12 35.88 25.6r 20KN53 266 C~6c5X 2020 06 01.47325 19 13 07.375 -20 12 36.01 25.6r 20KN53 266 C~6c5X 2020 06 01.60571 19 13 06.820 -20 12 36.39 25.6r 20KN53 266 C~6c5X 2020 06 20.45583 19 11 39.764 -20 13 55.27 24.7r 20KN53 266 C~6c5X 2020 06 20.52860 19 11 39.390 -20 13 55.66 24.7r 20KN53 266 C~6c5X 2020 06 20.62233 19 11 38.910 -20 13 56.13 24.7r 20KN53 266 C~6c5X 2020 06 21.45390 19 11 34.712 -20 14 00.64 25.0r 20KN53 266 C~6c5X 2020 06 21.53376 19 11 34.299 -20 14 01.07 25.0r 20KN53 266 C~6c5X 2020 06 21.61261 19 11 33.893 -20 14 01.48 25.0r 20KN53 266 C~6c5X 2020 06 22.44948 19 11 29.649 -20 14 06.08 24.8r 20KN53 266 C~6c5X 2020 06 22.52092 19 11 29.278 -20 14 06.48 24.8r 20KN53 266 C~6c5X 2020 06 22.59118 19 11 28.913 -20 14 06.85 24.8r 20KN53 266 C~6c5X 2020 06 24.43648 19 11 19.451 -20 14 17.27 24.8r 20KN53 266 C~6c5X 2020 06 24.51619 19 11 19.032 -20 14 17.73 24.8r 20KN53 266 C~6c5X 2020 06 24.59604 19 11 18.613 -20 14 18.17 24.8r 20KN53 266 C~6c5X 2020 06 25.44823 19 11 14.217 -20 14 23.11 24.8r 20KN53 266 C~6c5X 2020 06 25.53213 19 11 13.774 -20 14 23.60 24.8r 20KN53 266 C~6c5X 2020 06 25.61487 19 11 13.338 -20 14 24.05 24.8r 20KN53 266 C~6c5X 2020 08 12.26680 19 07 13.101 -20 19 44.32 25.0r 20KN53 266 C~6c5X 2020 08 12.34843 19 07 12.750 -20 19 44.86 25.0r 20KN53 266 C~6c5X 2020 08 12.42950 19 07 12.403 -20 19 45.37 25.0r 20KN53 266 C~6c5X 2020 08 14.24286 19 07 04.923 -20 19 56.90 24.8r 20KN53 266 C~6c5X 2020 08 14.33285 19 07 04.549 -20 19 57.48 24.8r 20KN53 266 C~6c5X 2020 08 14.42134 19 07 04.181 -20 19 58.03 24.8r 20KN53 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 0.02 0.00 -0.03
2 0.0001 -3.01 0.00 0.24 -0.04
3 0.0003 -6.09 0.01 0.50 -0.04
4 0.0055 -108.91 -0.00 8.97 -0.01
5 0.0057 -114.10 -0.00 9.38 0.00
6 0.0059 -119.12 0.00 9.79 -0.00
7 0.0109 -221.69 -0.01 17.80 0.06
8 0.0110 -224.08 -0.02 17.97 0.05
9 0.0114 -231.88 -0.02 18.57 0.05
10 0.0630 -1457.59 0.04 92.00 0.00
11 0.0632 -1462.87 0.03 92.26 -0.00
12 0.0635 -1469.63 0.04 92.62 0.00
13 0.0657 -1528.82 -0.03 95.39 0.00
14 0.0659 -1534.65 -0.03 95.68 0.01
15 0.0662 -1540.37 -0.02 95.97 0.00
16 0.0685 -1600.22 0.01 98.72 0.01
17 0.0686 -1605.45 0.02 98.97 0.00
18 0.0688 -1610.59 0.02 99.23 0.01
19 0.0739 -1744.04 -0.01 105.18 -0.01
20 0.0741 -1749.95 -0.01 105.44 -0.01
21 0.0743 -1755.86 -0.01 105.72 -0.01
22 0.0767 -1817.87 -0.01 108.38 -0.02
23 0.0769 -1824.12 -0.01 108.65 -0.03
24 0.0771 -1830.27 -0.02 108.96 -0.02
25 0.2076 -5225.49 -0.01 193.40 -0.00
26 0.2078 -5230.46 -0.02 193.43 -0.01
27 0.2080 -5235.37 -0.01 193.49 -0.01
28 0.2130 -5341.28 0.01 194.24 0.02
29 0.2132 -5346.58 0.02 194.27 0.01
30 0.2135 -5351.79 0.01 194.32 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.
20KN53 quality flag:1 Type: CLASSICAL CLASSICAL SCATNEAR axisobj 42.684 45.850 40.670 ecceobj 0.098 0.150 0.143 incobj 9.271 8.954 9.611 qmin 37.721 38.325 33.189 qmax 48.302 54.307 49.101 amean 42.889 46.121 40.937 amin 42.543 45.728 40.484 amax 43.272 46.577 41.438 emean 0.099 0.154 0.160 emin 0.081 0.140 0.125 emax 0.118 0.167 0.188 imean 11.121 10.553 13.014 imin 10.311 10.006 8.632 imax 11.906 10.999 15.628 excite_mean 0.217 0.239 0.277 fracstop 1.000 1.000 1.000 cjmean 3.032 3.057 2.976 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 176.9 172.6 180.2 kozaiamp 179.9 180.0 179.9