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: 20KP54
# Created Wed May 8 01:18:30 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 0.018139 0.000003 -0.001000 0.023691 0.000000
# Chi-squared of fit: 0.32 DOF: 36 RMS: 0.02
# Min/Max residuals: -0.03 0.05
# Exact a, adot, b, bdot, g, gdot:
1.579949E-05 2.471066E-02 -7.176830E-07 -1.012859E-03 2.480326E-02 2.924213E-03
# Covariance matrix:
1.9892E-13 1.4523E-11 -8.0244E-15 -7.0426E-14 3.4964E-12 1.9060E-10
1.4523E-11 1.9338E-07 -9.2873E-11 -5.3919E-10 3.6352E-08 6.5757E-07
-8.0244E-15 -9.2873E-11 1.7260E-13 -6.8639E-13 -1.7465E-11 -3.1700E-10
-7.0426E-14 -5.3919E-10 -6.8639E-13 1.6829E-11 -1.0159E-10 -1.8876E-09
3.4964E-12 3.6352E-08 -1.7465E-11 -1.0159E-10 6.8389E-09 1.2478E-07
1.9060E-10 6.5757E-07 -3.1700E-10 -1.8876E-09 1.2478E-07 2.5094E-06
# lat0 lon0 xBary yBary zBary JD0
1.822199 -72.385185 0.658535 0.024181 -0.764103 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 55.11875 +/- 5.702
Argument of Peri: 75.34282 +/- 4.123
Long of Asc Node: 144.45132 +/- 0.523
Inclination: 2.91854 +/- 0.035
Eccentricity: 0.11528339 +/- 0.0725
Semi-Major Axis: 43.53436124 +/- 1.7709
Time of Perihelion: 2442926.8741 +/- 1341.8
Perihelion: 38.51557244 +/- 3.5243
Aphelion: 48.55315004 +/- 3.7238
Period (y) 287.2476 +/- 17.53
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.80381210 +/- 0.0407
Ecliptic Y -39.34223183 +/- 0.1281
Ecliptic Z 1.28205056 +/- 0.0043
Ecliptic XDOT 0.00270656 +/- 0.0001
Ecliptic YDOT 0.00051808 +/- 0.0002
Ecliptic ZDOT -0.00010171 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.09482740 +/- 0.1231
Geocenter to KBO 40.31727423 +/- 0.1344
# Hcoef: 10.25
The following table shows the complete astrometric record for 20KP54. 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 (20KP54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 15 20.563 -20 28 21.61 26.6r 20KP54 266 C~6c5Z 2020 05 28.50129 19 15 20.359 -20 28 21.92 26.6r 20KP54 266 C~6c5Z 2020 05 28.55756 19 15 20.148 -20 28 22.23 26.6r 20KP54 266 C~6c5Z 2020 05 30.43935 19 15 13.139 -20 28 32.68 26.1r 20KP54 266 C~6c5Z 2020 05 30.53044 19 15 12.786 -20 28 33.22 26.1r 20KP54 266 C~6c5Z 2020 05 30.61862 19 15 12.443 -20 28 33.71 26.1r 20KP54 266 C~6c5a 2020 06 01.43269 19 15 05.458 -20 28 44.45 26.4r 20KP54 266 C~6c5a 2020 06 01.47325 19 15 05.296 -20 28 44.70 26.4r 20KP54 266 C~6c5a 2020 06 01.60571 19 15 04.764 -20 28 45.50 26.4r 20KP54 266 C~6c5a 2020 06 20.45583 19 13 41.179 -20 31 02.51 26.4r 20KP54 266 C~6c5a 2020 06 20.52860 19 13 40.819 -20 31 03.12 26.4r 20KP54 266 C~6c5a 2020 06 20.62233 19 13 40.357 -20 31 03.88 26.4r 20KP54 266 C~6c5a 2020 06 22.44948 19 13 31.449 -20 31 19.31 26.2r 20KP54 266 C~6c5a 2020 06 22.52092 19 13 31.091 -20 31 19.92 26.2r 20KP54 266 C~6c5a 2020 06 22.59118 19 13 30.740 -20 31 20.50 26.2r 20KP54 266 C~6c5a 2020 06 25.44823 19 13 16.599 -20 31 45.23 26.0r 20KP54 266 C~6c5a 2020 06 25.53213 19 13 16.172 -20 31 45.96 26.0r 20KP54 266 C~6c5a 2020 06 25.61487 19 13 15.753 -20 31 46.67 26.0r 20KP54 266 C~6c5a 2020 08 13.24332 19 09 19.601 -20 39 26.47 26.5r 20KP54 266 C~6c5a 2020 08 13.33331 19 09 19.231 -20 39 27.28 26.5r 20KP54 266 C~6c5a 2020 08 13.42301 19 09 18.863 -20 39 28.07 26.5r 20KP54 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 0.01
2 0.0001 -2.88 -0.01 0.06 0.01
3 0.0003 -5.86 -0.01 0.13 0.01
4 0.0055 -104.88 -0.03 2.42 0.04
5 0.0057 -109.87 -0.03 2.52 0.04
6 0.0059 -114.71 -0.02 2.65 0.05
7 0.0109 -213.44 0.04 4.58 -0.03
8 0.0110 -215.73 0.04 4.63 -0.03
9 0.0114 -223.24 0.04 4.79 -0.03
10 0.0630 -1405.54 0.02 18.08 -0.02
11 0.0632 -1410.64 0.01 18.11 -0.02
12 0.0635 -1417.17 0.01 18.17 -0.03
13 0.0685 -1543.27 -0.00 18.62 -0.01
14 0.0686 -1548.33 -0.01 18.64 -0.02
15 0.0688 -1553.30 -0.01 18.69 -0.01
16 0.0767 -1753.49 -0.01 19.09 0.00
17 0.0769 -1759.54 -0.02 19.12 0.01
18 0.0771 -1765.47 -0.01 19.15 0.00
19 0.2103 -5113.73 0.00 -31.53 0.01
20 0.2105 -5118.99 -0.00 -31.71 0.01
21 0.2107 -5124.22 0.00 -31.88 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.
20KP54 quality flag:1 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 42.945 52.070 38.595 ecceobj 0.108 0.318 0.098 incobj 2.920 2.817 3.038 qmin 37.840 35.035 34.752 qmax 48.839 70.997 43.162 amean 43.189 52.269 38.777 amin 42.842 51.470 38.459 amax 43.583 53.277 39.135 emean 0.100 0.314 0.080 emin 0.076 0.296 0.058 emax 0.121 0.333 0.103 imean 2.842 2.339 1.525 imin 1.511 1.651 0.115 imax 4.009 3.046 2.573 excite_mean 0.113 0.316 0.085 fracstop 1.000 1.000 1.000 cjmean 3.077 3.076 3.038 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 178.4 180.8 178.1 kozaiamp 180.0 180.0 180.0