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: 20KT54
# Created Tue May 7 01:17:46 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 76.98d
# First observation: 2020/05/28
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
0.000005 0.017599 0.000005 0.007873 0.024316 0.000000
# Chi-squared of fit: 1.08 DOF: 36 RMS: 0.04
# Min/Max residuals: -0.09 0.08
# Exact a, adot, b, bdot, g, gdot:
1.506563E-05 2.378797E-02 5.305051E-06 7.842608E-03 2.535568E-02 2.728703E-03
# Covariance matrix:
1.9716E-13 -6.3449E-14 -6.7214E-15 2.2176E-13 7.5169E-13 1.3565E-10
-6.3449E-14 1.1469E-07 -7.9484E-11 3.1535E-10 2.1585E-08 3.8242E-07
-6.7214E-15 -7.9484E-11 1.8363E-13 -1.1836E-12 -1.5014E-11 -2.7680E-10
2.2176E-13 3.1535E-10 -1.1836E-12 1.6873E-11 6.1219E-11 1.4726E-09
7.5169E-13 2.1585E-08 -1.5014E-11 6.1219E-11 4.0682E-09 7.3110E-08
1.3565E-10 3.8242E-07 -2.7680E-10 1.4726E-09 7.3110E-08 1.5300E-06
# lat0 lon0 xBary yBary zBary JD0
2.092287 -72.083329 0.662553 0.027656 -0.760502 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 77.34511 +/- 13.569
Argument of Peri: 278.60040 +/- 11.196
Long of Asc Node: 280.75746 +/- 0.093
Inclination: 18.30436 +/- 0.248
Eccentricity: 0.09269726 +/- 0.0502
Semi-Major Axis: 40.69625487 +/- 1.0580
Time of Perihelion: 2438617.2439 +/- 3484.6
Perihelion: 36.92382366 +/- 2.2573
Aphelion: 44.46868607 +/- 2.3474
Period (y) 259.6210 +/- 10.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.73390745 +/- 0.0305
Ecliptic Y -38.43605625 +/- 0.0943
Ecliptic Z 1.44016112 +/- 0.0036
Ecliptic XDOT 0.00253320 +/- 0.0001
Ecliptic YDOT 0.00054297 +/- 0.0001
Ecliptic ZDOT 0.00085679 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.21304599 +/- 0.0906
Geocenter to KBO 39.43889674 +/- 0.0992
# Hcoef: 10.67
The following table shows the complete astrometric record for 20KT54. 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 (20KT54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 16 28.175 -20 09 56.91 26.7r 20KT54 266 C~6c5a 2020 05 28.50129 19 16 27.962 -20 09 56.95 26.7r 20KT54 266 C~6c5a 2020 05 28.55756 19 16 27.742 -20 09 56.98 26.7r 20KT54 266 C~6c5a 2020 05 30.43935 19 16 20.437 -20 09 57.99 26.8r 20KT54 266 C~6c5a 2020 05 30.53044 19 16 20.069 -20 09 58.07 26.8r 20KT54 266 C~6c5a 2020 05 30.61862 19 16 19.711 -20 09 58.14 26.8r 20KT54 266 C~6c5a 2020 06 01.43269 19 16 12.420 -20 09 59.81 26.3r 20KT54 266 C~6c5a 2020 06 01.47325 19 16 12.251 -20 09 59.86 26.3r 20KT54 266 C~6c5a 2020 06 01.60571 19 16 11.697 -20 10 00.01 26.3r 20KT54 266 C~6c5a 2020 06 20.45583 19 14 44.707 -20 10 45.74 27.0r 20KT54 266 C~6c5a 2020 06 20.52860 19 14 44.334 -20 10 46.00 27.0r 20KT54 266 C~6c5a 2020 06 20.62233 19 14 43.853 -20 10 46.32 27.0r 20KT54 266 C~6c5a 2020 06 22.44948 19 14 34.589 -20 10 53.10 26.4r 20KT54 266 C~6c5a 2020 06 22.52092 19 14 34.218 -20 10 53.37 26.4r 20KT54 266 C~6c5a 2020 06 22.59118 19 14 33.853 -20 10 53.62 26.4r 20KT54 266 C~6c5a 2020 06 25.44823 19 14 19.155 -20 11 04.87 26.7r 20KT54 266 C~6c5a 2020 06 25.53213 19 14 18.712 -20 11 05.20 26.7r 20KT54 266 C~6c5a 2020 06 25.61487 19 14 18.276 -20 11 05.52 26.7r 20KT54 266 C~6c5a 2020 08 13.24332 19 10 12.205 -20 15 08.01 26.6r 20KT54 266 C~6c5a 2020 08 13.33331 19 10 11.818 -20 15 08.44 26.6r 20KT54 266 C~6c5a 2020 08 13.42301 19 10 11.432 -20 15 08.85 26.6r 20KT54 266 C~6c5a
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 -0.09
2 0.0001 -2.98 -0.05 0.35 -0.09
3 0.0003 -6.05 -0.05 0.73 -0.09
4 0.0055 -108.17 0.04 13.12 0.04
5 0.0057 -113.31 0.05 13.72 0.04
6 0.0059 -118.32 0.04 14.30 0.04
7 0.0109 -220.33 0.01 26.00 0.07
8 0.0110 -222.69 0.01 26.26 0.08
9 0.0114 -230.45 0.01 27.12 0.07
10 0.0630 -1450.96 -0.00 139.62 0.00
11 0.0632 -1456.20 0.01 140.03 0.00
12 0.0635 -1462.96 -0.00 140.58 -0.00
13 0.0685 -1593.19 -0.04 150.51 -0.01
14 0.0686 -1598.41 -0.04 150.90 -0.02
15 0.0688 -1603.54 -0.04 151.31 -0.01
16 0.0767 -1810.23 0.03 166.50 -0.02
17 0.0769 -1816.46 0.03 166.97 -0.01
18 0.0771 -1822.59 0.03 167.43 -0.02
19 0.2103 -5290.65 -0.00 356.59 0.01
20 0.2105 -5296.11 0.00 356.82 0.01
21 0.2107 -5301.56 -0.00 357.07 0.00
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.
20KT54 quality flag:1 Type: SCATEXTD SCATNEAR CENTAURS axisobj 40.204 45.181 37.311 ecceobj 0.089 0.226 0.096 incobj 18.392 17.596 19.282 qmin 36.207 34.187 30.003 qmax 44.934 57.261 46.652 amean 40.423 45.488 37.411 amin 40.097 45.031 36.544 amax 40.770 46.025 39.303 emean 0.090 0.225 0.117 emin 0.077 0.206 0.085 emax 0.102 0.247 0.204 imean 20.070 19.396 20.226 imin 19.372 18.483 12.894 imax 20.731 20.109 23.168 excite_mean 0.355 0.401 0.366 fracstop 1.000 1.000 1.000 cjmean 2.912 2.921 2.877 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 187.2 176.0 183.0 kozaiamp 180.0 180.0 180.0