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: 20KT53
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 74.98d
# First observation: 2020/05/31
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
-0.000003 0.014618 0.000005 -0.001534 0.021360 0.000000
# Chi-squared of fit: 0.21 DOF: 24 RMS: 0.02
# Min/Max residuals: -0.04 0.04
# Exact a, adot, b, bdot, g, gdot:
1.435137E-05 2.022094E-02 -1.063595E-06 -1.520810E-03 2.232474E-02 1.660975E-03
# Covariance matrix:
5.7264E-13 1.3377E-10 -1.1848E-13 6.9031E-14 2.6474E-11 7.7712E-10
1.3377E-10 2.1765E-07 -1.8692E-10 2.8259E-10 4.0031E-08 6.4211E-07
-1.1848E-13 -1.8692E-10 4.1795E-13 -1.7646E-12 -3.4397E-11 -5.5522E-10
6.9031E-14 2.8259E-10 -1.7646E-12 1.4934E-11 5.1244E-11 6.5937E-10
2.6474E-11 4.0031E-08 -3.4397E-11 5.1244E-11 7.3739E-09 1.2070E-07
7.7712E-10 6.4211E-07 -5.5522E-10 6.5937E-10 1.2070E-07 2.5124E-06
# lat0 lon0 xBary yBary zBary JD0
2.589802 -73.056088 0.609937 0.036198 -0.803127 2459000.942191
# Heliocentric elements and errors
Epoch: 2459000.5000 = 2020/05/31
Mean Anomaly: 112.58812 +/- 53.652
Argument of Peri: 28.76118 +/- 49.217
Long of Asc Node: 137.03568 +/- 0.635
Inclination: 4.95036 +/- 0.092
Eccentricity: 0.07565652 +/- 0.0503
Semi-Major Axis: 44.12084595 +/- 1.7010
Time of Perihelion: 2425522.9064 +/- 15835.3
Perihelion: 40.78281648 +/- 2.7209
Aphelion: 47.45887542 +/- 2.8773
Period (y) 293.0717 +/- 16.95
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.69753218 +/- 0.0502
Ecliptic Y -43.75876732 +/- 0.1647
Ecliptic Z 2.02401870 +/- 0.0078
Ecliptic XDOT 0.00244207 +/- 0.0001
Ecliptic YDOT 0.00052357 +/- 0.0002
Ecliptic ZDOT -0.00017735 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.60870194 +/- 0.1586
Geocenter to KBO 44.79334833 +/- 0.1723
# Hcoef: 8.84
The following table shows the complete astrometric record for 20KT53. 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 (20KT53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 31.44139 19 12 05.862 -19 47 43.93 25.4r 20KT53 266 C~6c5Y 2020 05 31.52961 19 12 05.540 -19 47 44.38 25.4r 20KT53 266 C~6c5Y 2020 05 31.61814 19 12 05.216 -19 47 44.81 25.4r 20KT53 266 C~6c5Y 2020 06 21.45390 19 10 40.296 -19 49 56.88 25.3r 20KT53 266 C~6c5Y 2020 06 21.53376 19 10 39.932 -19 49 57.48 25.3r 20KT53 266 C~6c5Y 2020 06 21.61261 19 10 39.574 -19 49 58.06 25.3r 20KT53 266 C~6c5Y 2020 06 24.43648 19 10 26.857 -19 50 19.74 25.3r 20KT53 266 C~6c5Y 2020 06 24.51899 19 10 26.475 -19 50 20.39 25.3r 20KT53 266 C~6c5Y 2020 06 24.61428 19 10 26.036 -19 50 21.11 25.3r 20KT53 266 C~6c5Y 2020 08 12.26680 19 06 50.326 -19 57 33.66 25.5r 20KT53 266 C~6c5Y 2020 08 12.34843 19 06 50.018 -19 57 34.39 25.5r 20KT53 266 C~6c5Y 2020 08 12.42950 19 06 49.712 -19 57 35.09 25.5r 20KT53 266 C~6c5Y 2020 08 14.24286 19 06 43.114 -19 57 51.02 25.3r 20KT53 266 C~6c5Y 2020 08 14.33285 19 06 42.784 -19 57 51.82 25.3r 20KT53 266 C~6c5Y 2020 08 14.42134 19 06 42.459 -19 57 52.59 25.3r 20KT53 266 C~6c5Y
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 -0.00
2 0.0002 -4.57 -0.00 0.11 -0.00
3 0.0005 -9.16 0.00 0.25 0.00
4 0.0575 -1214.72 0.03 15.56 0.01
5 0.0577 -1219.89 0.02 15.58 0.01
6 0.0580 -1224.97 0.02 15.62 0.00
7 0.0657 -1405.72 -0.02 15.80 0.00
8 0.0659 -1411.15 -0.03 15.80 -0.01
9 0.0662 -1417.39 -0.02 15.84 -0.00
10 0.1994 -4490.32 0.00 -54.33 -0.04
11 0.1996 -4494.72 0.01 -54.56 -0.04
12 0.1998 -4499.09 0.01 -54.75 -0.04
13 0.2048 -4593.37 -0.01 -59.85 0.04
14 0.2050 -4598.09 -0.00 -60.11 0.04
15 0.2053 -4602.73 -0.01 -60.34 0.04
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.
20KT53 quality flag:1 Type: CLASSICAL SCATNEAR SCATNEAR axisobj 43.590 52.228 39.789 ecceobj 0.079 0.265 0.195 incobj 4.957 4.687 5.276 qmin 39.318 37.875 31.138 qmax 48.581 68.073 63.301 amean 43.833 52.616 42.743 amin 43.486 52.099 36.537 amax 44.201 53.258 47.812 emean 0.080 0.267 0.241 emin 0.062 0.255 0.112 emax 0.099 0.279 0.324 imean 3.985 3.562 2.578 imin 3.191 3.148 0.525 imax 4.831 3.997 5.240 excite_mean 0.106 0.274 0.246 fracstop 1.000 1.000 1.000 cjmean 3.086 3.115 3.013 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 177.2 185.3 174.8 kozaiamp 179.9 180.0 180.0