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: 20KY54
# Created Mon Apr 28 01:11:21 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 26.17d
# First observation: 2020/05/29
# Last observation: 2020/06/24
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.026665 -0.000000 -0.001480 0.024350 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.06 DOF: 19 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.543482E-05 2.313122E-02 -9.612595E-07 -1.406281E-03 2.361235E-02 -3.948906E-03
# Covariance matrix:
1.4207E-12 2.0980E-09 -8.8893E-14 -4.2638E-11 4.1479E-10 2.4969E-08
2.0980E-09 4.0138E-06 -1.6727E-10 -8.1044E-08 7.8419E-07 4.1912E-05
-8.8893E-14 -1.6727E-10 2.6819E-13 -6.4513E-13 -3.2771E-11 -1.8131E-09
-4.2638E-11 -8.1044E-08 -6.4513E-13 1.7534E-09 -1.5848E-08 -8.5620E-07
4.1479E-10 7.8419E-07 -3.2771E-11 -1.5848E-08 1.5350E-07 8.3991E-06
2.4969E-08 4.1912E-05 -1.8131E-09 -8.5620E-07 8.3991E-06 5.9299E-04
# lat0 lon0 xBary yBary zBary JD0
2.251024 -73.293827 0.633233 0.030730 -0.785024 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 306.85951 +/- 38.181
Argument of Peri: 221.85554 +/- 125.292
Long of Asc Node: 138.42538 +/- 2.165
Inclination: 4.10079 +/- 0.245
Eccentricity: 0.20266777 +/- 1.0187
Semi-Major Axis: 47.43709251 +/- 15.0220
Time of Perihelion: 2476606.1461 +/- 9496.0
Perihelion: 37.82312252 +/- 49.7862
Aphelion: 57.05106249 +/- 51.5907
Period (y) 326.7272 +/- 155.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.78988644 +/- 0.2018
Ecliptic Y -41.47319309 +/- 0.6725
Ecliptic Z 1.66346731 +/- 0.0276
Ecliptic XDOT 0.00244729 +/- 0.0010
Ecliptic YDOT 0.00120662 +/- 0.0027
Ecliptic ZDOT -0.00018115 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 43.14851435 +/- 0.6488
Geocenter to KBO 42.35071029 +/- 0.7027
# Hcoef: 10.40
The following table shows the complete astrometric record for 20KY54. 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 (20KY54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 11 16.261 -20 09 39.10 26.9r 20KY54 266 C~6c5a 2020 05 29.53371 19 11 15.940 -20 09 39.55 26.9r 20KY54 266 C~6c5a 2020 05 29.61905 19 11 15.624 -20 09 39.97 26.9r 20KY54 266 C~6c5a 2020 05 31.44139 19 11 08.926 -20 09 49.35 26.7r 20KY54 266 C~6c5a 2020 05 31.52961 19 11 08.589 -20 09 49.83 26.7r 20KY54 266 C~6c5a 2020 05 31.61814 19 11 08.250 -20 09 50.29 26.7r 20KY54 266 C~6c5a 2020 06 21.45390 19 09 39.332 -20 12 08.42 26.6r 20KY54 266 C~6c5a 2020 06 21.53376 19 09 38.951 -20 12 09.04 26.6r 20KY54 266 C~6c5a 2020 06 21.61261 19 09 38.576 -20 12 09.64 26.6r 20KY54 266 C~6c5a 2020 06 24.43648 19 09 25.250 -20 12 32.03 26.5r 20KY54 266 C~6c5a 2020 06 24.52599 19 09 24.816 -20 12 32.75 26.5r 20KY54 266 C~6c5a 2020 06 24.61708 19 09 24.376 -20 12 33.46 26.5r 20KY54 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 0.01 0.00 0.00
2 0.0002 -4.54 0.01 0.10 -0.00
3 0.0005 -9.01 0.02 0.23 -0.00
4 0.0055 -103.76 -0.02 2.40 0.00
5 0.0057 -108.53 -0.01 2.50 -0.00
6 0.0059 -113.32 -0.01 2.62 -0.00
7 0.0630 -1372.74 0.02 16.35 -0.01
8 0.0632 -1378.14 0.01 16.38 -0.01
9 0.0634 -1383.45 0.02 16.41 -0.01
10 0.0712 -1572.38 -0.01 16.55 0.01
11 0.0714 -1578.53 -0.01 16.56 0.01
12 0.0716 -1584.76 -0.01 16.59 0.01
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.
20KY54 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