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: 20KF56 # Created Tue Apr 1 01:11:20 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 77.97d # First observation: 2020/05/28 # Last observation: 2020/08/14 Preliminary a, adot, b, bdot, g, gdot: 0.000006 0.015780 0.000003 0.004172 0.023093 0.000000 # Chi-squared of fit: 0.28 DOF: 24 RMS: 0.02 # Min/Max residuals: -0.05 0.03 # Exact a, adot, b, bdot, g, gdot: 1.522506E-05 2.374094E-02 2.575791E-06 4.152753E-03 2.445025E-02 1.030324E-03 # Covariance matrix: 1.9908E-13 1.2120E-11 -7.4619E-15 1.4323E-13 3.0548E-12 1.8367E-10 1.2120E-11 2.4012E-07 -8.9150E-11 1.6028E-10 4.4407E-08 6.3060E-07 -7.4619E-15 -8.9150E-11 1.8624E-13 -9.7716E-13 -1.6526E-11 -2.4278E-10 1.4323E-13 1.6028E-10 -9.7716E-13 1.5460E-11 3.1556E-11 8.6388E-10 3.0548E-12 4.4407E-08 -1.6526E-11 3.1556E-11 8.2223E-09 1.1875E-07 1.8367E-10 6.3060E-07 -2.4278E-10 8.6388E-10 1.1875E-07 2.1482E-06 # lat0 lon0 xBary yBary zBary JD0 2.065834 -72.791060 0.653103 0.027598 -0.768636 2458997.947541 # Heliocentric elements and errors Epoch: 2458990.5000 = 2020/05/21 Mean Anomaly: 36.33908 +/- 36.704 Argument of Peri: 332.16286 +/- 41.815 Long of Asc Node: 274.87238 +/- 0.237 Inclination: 10.11663 +/- 0.201 Eccentricity: 0.04352230 +/- 0.0624 Semi-Major Axis: 43.16371267 +/- 1.3870 Time of Perihelion: 2448534.9223 +/- 10548.7 Perihelion: 41.28512876 +/- 3.0005 Aphelion: 45.04229658 +/- 3.0558 Period (y) 283.5870 +/- 13.67 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.70180820 +/- 0.0448 Ecliptic Y -39.97778139 +/- 0.1448 Ecliptic Z 1.47450774 +/- 0.0055 Ecliptic XDOT 0.00257668 +/- 0.0001 Ecliptic YDOT 0.00069593 +/- 0.0001 Ecliptic ZDOT 0.00046863 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.68128469 +/- 0.1394 Geocenter to KBO 40.89937622 +/- 0.1517 # Hcoef: 9.98
The following table shows the complete astrometric record for 20KF56. 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 (20KF56) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 13 29.630 -20 16 57.05 26.4r 20KF56 266 C~6c5d 2020 05 28.50129 19 13 29.425 -20 16 57.18 26.4r 20KF56 266 C~6c5d 2020 05 28.55756 19 13 29.212 -20 16 57.31 26.4r 20KF56 266 C~6c5d 2020 05 30.43935 19 13 22.160 -20 17 01.74 26.0r 20KF56 266 C~6c5d 2020 05 30.53044 19 13 21.805 -20 17 01.98 26.0r 20KF56 266 C~6c5d 2020 05 30.61862 19 13 21.460 -20 17 02.20 26.0r 20KF56 266 C~6c5d 2020 06 01.43269 19 13 14.430 -20 17 06.93 26.1r 20KF56 266 C~6c5d 2020 06 01.47325 19 13 14.267 -20 17 07.05 26.1r 20KF56 266 C~6c5d 2020 06 01.60571 19 13 13.733 -20 17 07.41 26.1r 20KF56 266 C~6c5d 2020 06 25.44823 19 11 25.555 -20 18 49.39 25.9r 20KF56 266 C~6c5d 2020 06 25.53213 19 11 25.130 -20 18 49.85 25.9r 20KF56 266 C~6c5d 2020 06 25.61487 19 11 24.712 -20 18 50.29 25.9r 20KF56 266 C~6c5d 2020 08 14.24286 19 07 26.169 -20 24 05.05 26.2r 20KF56 266 C~6c5d 2020 08 14.33285 19 07 25.808 -20 24 05.60 26.2r 20KF56 266 C~6c5d 2020 08 14.42134 19 07 25.454 -20 24 06.11 26.2r 20KF56 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 0.03 0.00 0.02 2 0.0001 -2.88 0.03 0.23 0.02 3 0.0003 -5.87 0.03 0.48 0.02 4 0.0055 -104.86 0.00 8.52 -0.04 5 0.0057 -109.85 0.01 8.91 -0.04 6 0.0059 -114.69 0.00 9.30 -0.05 7 0.0109 -213.41 -0.04 16.99 -0.00 8 0.0110 -215.70 -0.04 17.16 -0.00 9 0.0114 -223.20 -0.04 17.74 0.00 10 0.0767 -1746.06 0.01 104.82 0.03 11 0.0769 -1752.05 0.01 105.10 0.03 12 0.0771 -1757.94 0.01 105.38 0.03 13 0.2130 -5127.19 -0.00 193.26 -0.01 14 0.2132 -5132.30 -0.00 193.30 -0.01 15 0.2135 -5137.30 0.00 193.38 -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.
20KF56 quality flag:1 Type: CLASSICAL SCATNEAR SCATNEAR axisobj 42.621 49.977 38.916 ecceobj 0.033 0.237 0.137 incobj 10.172 9.543 10.890 qmin 40.659 37.321 33.143 qmax 45.192 63.896 46.692 amean 42.845 50.345 39.447 amin 42.520 49.856 38.810 amax 43.180 50.924 40.168 emean 0.034 0.241 0.121 emin 0.021 0.227 0.070 emax 0.047 0.256 0.164 imean 11.884 11.167 11.830 imin 11.250 10.545 9.187 imax 12.466 11.756 14.329 excite_mean 0.209 0.309 0.239 fracstop 1.000 1.000 1.000 cjmean 3.035 3.060 2.988 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 175.8 174.9 185.4 kozaiamp 180.0 180.0 180.0