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: 20KP53
# Created Tue Apr 1 01:11:19 2025
# 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 0.012911 0.000004 0.001381 0.020918 0.000000
# Chi-squared of fit: 0.22 DOF: 30 RMS: 0.02
# Min/Max residuals: -0.04 0.03
# Exact a, adot, b, bdot, g, gdot:
1.458895E-05 2.026412E-02 9.108764E-07 1.385419E-03 2.219237E-02 3.645193E-03
# Covariance matrix:
3.0358E-13 8.3468E-11 -4.8073E-14 1.8139E-13 1.6372E-11 4.3788E-10
8.3468E-11 2.1296E-07 -1.1374E-10 2.8725E-10 3.9172E-08 5.9370E-07
-4.8073E-14 -1.1374E-10 2.3629E-13 -1.1791E-12 -2.0948E-11 -3.2340E-10
1.8139E-13 2.8725E-10 -1.1791E-12 1.1574E-11 5.3431E-11 9.4504E-10
1.6372E-11 3.9172E-08 -2.0948E-11 5.3431E-11 7.2132E-09 1.1099E-07
4.3788E-10 5.9370E-07 -3.2340E-10 9.4504E-10 1.1099E-07 2.0879E-06
# lat0 lon0 xBary yBary zBary JD0
1.937450 -73.769477 0.626689 0.026610 -0.790407 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 76.73762 +/- 16.753
Argument of Peri: 290.50720 +/- 14.912
Long of Asc Node: 259.56440 +/- 0.507
Inclination: 4.35341 +/- 0.079
Eccentricity: 0.16258644 +/- 0.0678
Semi-Major Axis: 46.38183533 +/- 2.4508
Time of Perihelion: 2434396.6722 +/- 5002.9
Perihelion: 38.84077767 +/- 3.7538
Aphelion: 53.92289298 +/- 4.2423
Period (y) 315.8858 +/- 25.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.21233287 +/- 0.0482
Ecliptic Y -44.18126036 +/- 0.1655
Ecliptic Z 1.52353833 +/- 0.0058
Ecliptic XDOT 0.00253245 +/- 0.0001
Ecliptic YDOT 0.00027631 +/- 0.0002
Ecliptic ZDOT 0.00018579 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.86334059 +/- 0.1599
Geocenter to KBO 45.06054068 +/- 0.1724
# Hcoef: 9.66
The following table shows the complete astrometric record for 20KP53. 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 (20KP53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 09 25.127 -20 31 45.57 26.2r 20KP53 266 C~6c5X 2020 05 29.53371 19 09 24.816 -20 31 45.88 26.2r 20KP53 266 C~6c5X 2020 05 29.61905 19 09 24.510 -20 31 46.17 26.2r 20KP53 266 C~6c5X 2020 05 31.44139 19 09 18.027 -20 31 52.72 26.3r 20KP53 266 C~6c5X 2020 05 31.52961 19 09 17.701 -20 31 53.05 26.3r 20KP53 266 C~6c5X 2020 05 31.61814 19 09 17.373 -20 31 53.38 26.3r 20KP53 266 C~6c5X 2020 06 21.45390 19 07 51.758 -20 33 34.84 26.3r 20KP53 266 C~6c5X 2020 06 21.53376 19 07 51.393 -20 33 35.30 26.3r 20KP53 266 C~6c5X 2020 06 21.61261 19 07 51.033 -20 33 35.75 26.3r 20KP53 266 C~6c5X 2020 06 24.43648 19 07 38.262 -20 33 52.58 26.0r 20KP53 266 C~6c5X 2020 06 24.52739 19 07 37.840 -20 33 53.13 26.0r 20KP53 266 C~6c5X 2020 06 24.61708 19 07 37.425 -20 33 53.65 26.0r 20KP53 266 C~6c5X 2020 08 12.26680 19 04 02.209 -20 39 22.64 26.4r 20KP53 266 C~6c5X 2020 08 12.34843 19 04 01.903 -20 39 23.17 26.4r 20KP53 266 C~6c5X 2020 08 12.42950 19 04 01.600 -20 39 23.68 26.4r 20KP53 266 C~6c5X 2020 08 14.24286 19 03 55.071 -20 39 35.27 26.0r 20KP53 266 C~6c5X 2020 08 14.33285 19 03 54.744 -20 39 35.85 26.0r 20KP53 266 C~6c5X 2020 08 14.42134 19 03 54.424 -20 39 36.40 26.0r 20KP53 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 -0.03 0.00 0.02
2 0.0002 -4.37 -0.03 0.21 0.02
3 0.0005 -8.68 -0.02 0.43 0.01
4 0.0055 -99.88 0.03 4.73 -0.00
5 0.0057 -104.47 0.03 4.95 0.01
6 0.0059 -109.08 0.03 5.17 -0.00
7 0.0630 -1315.23 -0.00 45.63 -0.04
8 0.0632 -1320.38 0.00 45.77 -0.03
9 0.0634 -1325.45 -0.01 45.91 -0.04
10 0.0712 -1505.56 -0.00 50.03 0.01
11 0.0714 -1511.51 -0.00 50.18 0.01
12 0.0716 -1517.36 -0.00 50.34 0.01
13 0.2048 -4557.50 -0.00 65.68 0.02
14 0.2051 -4561.83 -0.00 65.63 0.02
15 0.2053 -4566.12 -0.00 65.59 0.02
16 0.2103 -4658.52 0.00 64.19 -0.01
17 0.2105 -4663.15 -0.00 64.12 -0.02
18 0.2107 -4667.68 0.01 64.07 -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.
20KP53 quality flag:1 Type: CLASSICAL 8:3EEEEE SCATNEAR axisobj 45.768 57.198 40.402 ecceobj 0.160 0.358 0.156 incobj 4.383 4.146 4.668 qmin 38.003 36.093 32.995 qmax 54.542 81.273 48.775 amean 46.009 57.901 40.567 amin 45.593 57.064 40.150 amax 46.487 58.978 41.176 emean 0.159 0.365 0.153 emin 0.145 0.354 0.124 emax 0.173 0.378 0.187 imean 6.093 5.664 6.848 imin 5.407 5.391 3.949 imax 6.671 5.943 8.787 excite_mean 0.191 0.378 0.195 fracstop 1.000 1.000 1.000 cjmean 3.081 3.089 3.021 libcent 0 -180.0 180.5 -180.0 libamp 0 -180.0 149.4 -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 181.7 188.1 181.6 kozaiamp 180.0 179.9 180.0