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: 20KG53
# Created Wed Nov 27 02:11:01 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 4.16d
# First observation: 2020/05/28
# Last observation: 2020/06/01
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.018104 0.000000 0.000241 0.021506 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING -- MRQMIN stopped after 11 iterations
# Chi-squared of fit: 0.49 DOF: 13 RMS: 0.04
# Min/Max residuals: -0.06 0.07
# Exact a, adot, b, bdot, g, gdot:
1.444725E-05 2.026627E-02 2.702813E-07 1.938672E-04 2.193601E-02 -5.285625E-04
# Covariance matrix:
1.8977E-11 2.6858E-08 -4.4545E-13 -5.8498E-10 5.5360E-09 -1.1173E-07
2.6858E-08 3.8865E-05 -6.4365E-10 -8.4503E-07 7.9986E-06 -1.5539E-04
-4.4545E-13 -6.4365E-10 3.7198E-13 -2.6162E-11 -1.3247E-10 2.6840E-09
-5.8498E-10 -8.4503E-07 -2.6162E-11 2.6512E-08 -1.7395E-07 3.3478E-06
5.5360E-09 7.9986E-06 -1.3247E-10 -1.7395E-07 1.6463E-06 -3.2808E-05
-1.1173E-07 -1.5539E-04 2.6840E-09 3.3478E-06 -3.2808E-05 -3.8202E-03
# lat0 lon0 xBary yBary zBary JD0
1.556683 -72.645704 0.655052 0.020721 -0.767192 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 286.61479 +/- 317.320
Argument of Peri: 147.82829 +/- 147.828
Long of Asc Node: 216.73324 +/- 20.501
Inclination: 1.63069 +/- 0.215
Eccentricity: 0.04170339 +/- 0.0417
Semi-Major Axis: 46.85045972 +/- 19.6579
Time of Perihelion: 2482867.2508 +/- 9999999.9
Perihelion: 44.89663682 +/- 18.9391
Aphelion: 48.80428261 +/- 20.5707
Period (y) 320.6853 +/- 201.83
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.20202756 +/- 0.7949
Ecliptic Y -44.43065047 +/- 2.5442
Ecliptic Z 1.23849821 +/- 0.0724
Ecliptic XDOT 0.00240256 +/- 0.0024
Ecliptic YDOT 0.00082159 +/- 0.0008
Ecliptic ZDOT 0.00002216 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.36712317 +/- 2.4484
Geocenter to KBO 45.58713820 +/- 2.6665
# Hcoef: 9.15
The following table shows the complete astrometric record for 20KG53. 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 (20KG53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 14 23.028 -20 46 09.35 25.9r 20KG53 266 C~6VLA 2020 05 28.50129 19 14 22.842 -20 46 09.61 25.9r 20KG53 266 C~6VLA 2020 05 28.55756 19 14 22.650 -20 46 09.87 25.9r 20KG53 266 C~6VLA 2020 05 30.43935 19 14 16.278 -20 46 18.47 25.5r 20KG53 266 C~6VLA 2020 05 30.53044 19 14 15.958 -20 46 18.91 25.5r 20KG53 266 C~6VLA 2020 05 30.61862 19 14 15.647 -20 46 19.33 25.5r 20KG53 266 C~6VLA 2020 06 01.43269 19 14 09.309 -20 46 28.26 25.9r 20KG53 266 C~6VLA 2020 06 01.47325 19 14 09.162 -20 46 28.47 25.9r 20KG53 266 C~6VLA 2020 06 01.60571 19 14 08.682 -20 46 29.13 25.9r 20KG53 266 C~6VLA
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 -0.03
2 0.0001 -2.62 0.02 0.07 -0.03
3 0.0003 -5.32 0.02 0.16 -0.03
4 0.0055 -95.06 -0.06 2.96 0.06
5 0.0057 -99.57 -0.05 3.09 0.07
6 0.0059 -103.95 -0.05 3.23 0.06
7 0.0109 -193.25 0.01 5.62 -0.03
8 0.0110 -195.33 0.02 5.68 -0.03
9 0.0114 -202.09 0.05 5.87 -0.03
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.
20KG53 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0