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: 20KE56
# Created Tue Apr 1 01:11:20 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 74.98d
# First observation: 2020/05/30
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.018604 0.000007 -0.002787 0.025003 0.000000
# Chi-squared of fit: 0.03 DOF: 24 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.569979E-05 2.601003E-02 -1.695300E-06 -2.781518E-03 2.627591E-02 4.402454E-03
# Covariance matrix:
5.4399E-13 1.1348E-10 -1.0957E-13 -3.0903E-13 2.3011E-11 6.6743E-10
1.1348E-10 2.2758E-07 -2.1607E-10 -2.6427E-10 4.2488E-08 7.0062E-07
-1.0957E-13 -2.1607E-10 4.3577E-13 -1.4378E-12 -4.0345E-11 -6.6552E-10
-3.0903E-13 -2.6427E-10 -1.4378E-12 2.1838E-11 -5.0378E-11 -1.0286E-09
2.3011E-11 4.2488E-08 -4.0345E-11 -5.0378E-11 7.9420E-09 1.3266E-07
6.6743E-10 7.0062E-07 -6.6552E-10 -1.0286E-09 1.3266E-07 2.5407E-06
# lat0 lon0 xBary yBary zBary JD0
2.505019 -72.411080 0.632258 0.034246 -0.785715 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 77.83891 +/- 14.735
Argument of Peri: 62.73381 +/- 12.004
Long of Asc Node: 128.73932 +/- 0.388
Inclination: 6.50322 +/- 0.109
Eccentricity: 0.14959411 +/- 0.0582
Semi-Major Axis: 39.22192280 +/- 1.6268
Time of Perihelion: 2439591.2036 +/- 3468.4
Perihelion: 33.35455427 +/- 2.6693
Aphelion: 45.08929134 +/- 2.9511
Period (y) 245.6414 +/- 15.28
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.13005336 +/- 0.0390
Ecliptic Y -37.19137688 +/- 0.1229
Ecliptic Z 1.66338889 +/- 0.0057
Ecliptic XDOT 0.00273387 +/- 0.0001
Ecliptic YDOT 0.00037360 +/- 0.0001
Ecliptic ZDOT -0.00026973 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.85670424 +/- 0.1182
Geocenter to KBO 38.05767088 +/- 0.1291
# Hcoef: 9.19
The following table shows the complete astrometric record for 20KE56. 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 (20KE56) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 14 51.640 -19 47 55.65 24.8r 20KE56 266 C~6c5d 2020 05 30.53044 19 14 51.268 -19 47 56.24 24.8r 20KE56 266 C~6c5d 2020 05 30.61862 19 14 50.906 -19 47 56.79 24.8r 20KE56 266 C~6c5d 2020 06 20.45583 19 13 14.611 -19 50 43.01 25.1r 20KE56 266 C~6c5d 2020 06 20.52860 19 13 14.232 -19 50 43.69 25.1r 20KE56 266 C~6c5d 2020 06 20.62233 19 13 13.744 -19 50 44.55 25.1r 20KE56 266 C~6c5d 2020 06 22.44948 19 13 04.350 -19 51 02.00 25.1r 20KE56 266 C~6c5d 2020 06 22.52092 19 13 03.974 -19 51 02.69 25.1r 20KE56 266 C~6c5d 2020 06 22.59118 19 13 03.603 -19 51 03.35 25.1r 20KE56 266 C~6c5d 2020 06 25.44823 19 12 48.687 -19 51 31.42 24.8r 20KE56 266 C~6c5d 2020 06 25.53213 19 12 48.237 -19 51 32.26 24.8r 20KE56 266 C~6c5d 2020 06 25.61487 19 12 47.795 -19 51 33.06 24.8r 20KE56 266 C~6c5d 2020 08 13.24332 19 08 39.056 -20 00 33.43 25.2r 20KE56 266 C~6c5d 2020 08 13.33331 19 08 38.667 -20 00 34.42 25.2r 20KE56 266 C~6c5d 2020 08 13.42301 19 08 38.280 -20 00 35.39 25.2r 20KE56 266 C~6c5d
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 -5.28 0.00 0.09 0.00
3 0.0005 -10.42 0.00 0.19 0.00
4 0.0575 -1379.39 0.00 7.28 -0.00
5 0.0577 -1384.78 0.01 7.28 -0.00
6 0.0580 -1391.72 -0.00 7.29 0.00
7 0.0630 -1525.41 0.01 6.58 0.00
8 0.0632 -1530.76 0.02 6.56 0.00
9 0.0634 -1536.04 0.01 6.56 0.01
10 0.0712 -1748.35 -0.01 5.00 -0.00
11 0.0714 -1754.75 -0.02 4.95 -0.01
12 0.0717 -1761.04 -0.01 4.94 -0.01
13 0.2048 -5309.39 0.00 -104.69 0.00
14 0.2050 -5314.95 -0.00 -105.03 0.00
15 0.2053 -5320.49 -0.00 -105.34 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.
20KE56 quality flag:1 Type: SCATNEAR CENTAURR CENTAURR axisobj 38.719 46.731 34.584 ecceobj 0.147 0.315 0.150 incobj 6.517 6.180 6.911 qmin 32.387 29.997 29.351 qmax 45.480 74.783 41.937 amean 38.316 45.180 35.102 amin 37.546 35.082 34.554 amax 39.421 53.311 35.889 emean 0.116 0.291 0.156 emin 0.077 0.115 0.141 emax 0.161 0.405 0.169 imean 5.218 4.564 5.340 imin 3.681 2.338 5.146 imax 6.743 6.575 5.448 excite_mean 0.148 0.302 0.182 fracstop 1.000 0.439 0.002 cjmean 3.017 3.001 2.983 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 182.3 182.1 350.5 kozaiamp 180.0 179.9 6.5