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: 20KM53
# Created Sun Nov 24 02:11:02 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 1.06y
# First observation: 2020/05/26
# Last observation: 2021/06/17
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.022028 -0.000000 0.000261 0.023137 0.000000
# Chi-squared of fit: 3.43 DOF: 30 RMS: 0.08
# Min/Max residuals: -0.18 0.17
# Exact a, adot, b, bdot, g, gdot:
1.477786E-05 2.193274E-02 1.406247E-07 2.587931E-04 2.308328E-02 -8.706428E-04
# Covariance matrix:
2.5802E-13 6.9495E-13 -1.9388E-15 1.7414E-14 5.2916E-13 4.7163E-11
6.9495E-13 1.3905E-10 -2.7394E-13 2.8101E-12 5.5317E-11 7.3048E-09
-1.9388E-15 -2.7394E-13 1.5345E-13 -1.7461E-13 -1.0972E-13 -1.4436E-11
1.7414E-14 2.8101E-12 -1.7461E-13 4.5562E-13 1.1209E-12 1.4804E-10
5.2916E-13 5.5317E-11 -1.0972E-13 1.1209E-12 2.2411E-11 2.9174E-09
4.7163E-11 7.3048E-09 -1.4436E-11 1.4804E-10 2.9174E-09 3.8487E-07
# lat0 lon0 xBary yBary zBary JD0
1.864970 -73.438863 0.670104 0.024419 -0.753842 2458995.943811
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 290.15109 +/- 5.069
Argument of Peri: 145.36856 +/- 8.115
Long of Asc Node: 216.50303 +/- 0.051
Inclination: 1.96040 +/- 0.001
Eccentricity: 0.05755420 +/- 0.0274
Semi-Major Axis: 44.84373829 +/- 0.0920
Time of Perihelion: 2480272.2948 +/- 1543.1
Perihelion: 42.26279264 +/- 1.2324
Aphelion: 47.42468393 +/- 1.2332
Period (y) 300.3039 +/- 0.92
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.92001722 +/- 0.0025
Ecliptic Y -42.42308509 +/- 0.0085
Ecliptic Z 1.40993370 +/- 0.0003
Ecliptic XDOT 0.00247189 +/- 0.0000
Ecliptic YDOT 0.00084489 +/- 0.0001
Ecliptic ZDOT 0.00002709 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.08846643 +/- 0.0082
Geocenter to KBO 43.32140584 +/- 0.0089
# Hcoef: 8.95
The following table shows the complete astrometric record for 20KM53. 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 (20KM53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 10 51.434 -20 33 41.98 25.6r 20KM53 266 C~7ulo 2020 05 26.50149 19 10 51.231 -20 33 42.22 25.6r 20KM53 266 C~7ulo 2020 05 26.55599 19 10 51.041 -20 33 42.44 25.6r 20KM53 266 C~7ulo 2020 05 29.44698 19 10 40.923 -20 33 54.40 25.1r 20KM53 266 C~6c5X 2020 05 29.53371 19 10 40.604 -20 33 54.78 25.1r 20KM53 266 C~6c5X 2020 05 29.61905 19 10 40.290 -20 33 55.15 25.1r 20KM53 266 C~6c5X 2020 08 12.26680 19 05 07.434 -20 42 44.60 25.3r 20KM53 266 C~6c5X 2020 08 12.34843 19 05 07.117 -20 42 45.20 25.3r 20KM53 266 C~6c5X 2020 08 12.42950 19 05 06.803 -20 42 45.79 25.3r 20KM53 266 C~6c5X 2020 08 14.24286 19 05 00.037 -20 42 59.07 25.1r 20KM53 266 C~6c5X 2020 08 14.33285 19 04 59.698 -20 42 59.73 25.1r 20KM53 266 C~6c5X 2020 08 14.42134 19 04 59.365 -20 43 00.36 25.1r 20KM53 266 C~6c5X 2021 06 09.44200 19 15 20.493 -20 24 30.97 25.6r 20KM53 266 C~6c5X 2021 06 09.52600 19 15 20.141 -20 24 31.48 25.6r 20KM53 266 C~6c5X 2021 06 09.61425 19 15 19.771 -20 24 32.00 25.6r 20KM53 266 C~6c5X 2021 06 17.43604 19 14 46.229 -20 25 22.38 25.3r 20KM53 266 C~6c5X 2021 06 17.50052 19 14 45.937 -20 25 22.83 25.3r 20KM53 266 C~6c5X 2021 06 17.57952 19 14 45.579 -20 25 23.37 25.3r 20KM53 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 0.05 0.00 0.01
2 0.0002 -2.86 0.06 0.11 0.01
3 0.0003 -5.53 0.06 0.21 0.00
4 0.0082 -148.04 -0.05 5.53 -0.02
5 0.0085 -152.53 -0.06 5.69 -0.01
6 0.0087 -156.95 -0.06 5.86 -0.02
7 0.2131 -4860.10 -0.02 24.74 0.03
8 0.2133 -4864.59 -0.02 24.65 0.04
9 0.2135 -4869.04 -0.01 24.56 0.03
10 0.2185 -4964.91 0.02 22.01 -0.02
11 0.2187 -4969.72 0.02 21.89 -0.02
12 0.2190 -4974.43 0.02 21.79 -0.02
13 1.0376 3820.28 -0.00 76.04 -0.18
14 1.0379 3815.31 0.00 76.17 -0.18
15 1.0381 3810.08 0.00 76.32 -0.18
16 1.0595 3335.84 -0.00 86.45 0.17
17 1.0597 3331.71 -0.00 86.52 0.17
18 1.0599 3326.64 -0.00 86.63 0.17
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.
20KM53 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.300 44.542 44.284 ecceobj 0.059 0.131 0.060 incobj 1.970 1.969 1.970 qmin 41.093 37.893 41.000 qmax 48.146 51.861 48.244 amean 44.514 44.729 44.497 amin 44.167 44.361 44.146 amax 44.878 45.150 44.882 emean 0.059 0.133 0.061 emin 0.044 0.117 0.046 emax 0.073 0.149 0.075 imean 3.351 3.526 3.356 imin 2.769 2.767 2.772 imax 3.879 4.292 3.886 excite_mean 0.083 0.147 0.084 fracstop 1.000 1.000 1.000 cjmean 3.099 3.084 3.099 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 183.3 188.7 182.9 kozaiamp 180.0 180.0 179.9