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: 20KP55
# Created Fri Nov 22 02:11:05 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 79.98d
# First observation: 2020/05/26
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000007 0.031093 0.000005 0.001574 0.029961 0.000000
# Chi-squared of fit: 0.51 DOF: 36 RMS: 0.03
# Min/Max residuals: -0.06 0.06
# Exact a, adot, b, bdot, g, gdot:
1.958917E-05 3.834578E-02 8.839463E-07 1.560249E-03 3.112755E-02 -7.377137E-03
# Covariance matrix:
2.1753E-13 -2.7859E-11 1.7050E-14 4.9884E-14 -4.3912E-12 5.3780E-11
-2.7859E-11 9.2283E-08 -6.7686E-11 -1.5659E-12 1.7202E-08 2.2079E-07
1.7050E-14 -6.7686E-11 1.8791E-13 -7.9797E-13 -1.2644E-11 -1.6660E-10
4.9884E-14 -1.5659E-12 -7.9797E-13 9.2840E-12 1.6034E-13 7.8263E-11
-4.3912E-12 1.7202E-08 -1.2644E-11 1.6034E-13 3.2127E-09 4.2243E-08
5.3780E-11 2.2079E-07 -1.6660E-10 7.8263E-11 4.2243E-08 7.2496E-07
# lat0 lon0 xBary yBary zBary JD0
2.628676 -73.693099 0.666750 0.034600 -0.756413 2458995.943811
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 339.64499 +/- 1.629
Argument of Peri: 92.97279 +/- 4.086
Long of Asc Node: 237.89454 +/- 0.225
Inclination: 3.49365 +/- 0.013
Eccentricity: 0.37622398 +/- 0.0121
Semi-Major Axis: 48.39718256 +/- 0.4630
Time of Perihelion: 2465943.9031 +/- 547.5
Perihelion: 30.18900206 +/- 0.6550
Aphelion: 66.60536306 +/- 0.8670
Period (y) 336.6963 +/- 4.83
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.58917666 +/- 0.0164
Ecliptic Y -31.72188069 +/- 0.0561
Ecliptic Z 1.47348702 +/- 0.0027
Ecliptic XDOT 0.00306141 +/- 0.0000
Ecliptic YDOT 0.00157866 +/- 0.0001
Ecliptic ZDOT 0.00010710 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.89715542 +/- 0.0543
Geocenter to KBO 32.12588336 +/- 0.0585
# Hcoef: 10.04
The following table shows the complete astrometric record for 20KP55. 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 (20KP55) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 09 23.519 -19 50 02.14 25.5r 20KP55 266 C~7ulo 2020 05 26.50149 19 09 23.264 -19 50 02.33 25.5r 20KP55 266 C~7ulo 2020 05 26.55599 19 09 23.026 -19 50 02.50 25.5r 20KP55 266 C~7ulo 2020 05 29.44698 19 09 10.357 -19 50 11.89 25.1r 20KP55 266 C~6c5b 2020 05 29.53371 19 09 09.957 -19 50 12.22 25.1r 20KP55 266 C~6c5b 2020 05 29.61905 19 09 09.562 -19 50 12.51 25.1r 20KP55 266 C~6c5b 2020 05 31.44139 19 09 01.205 -19 50 19.31 25.1r 20KP55 266 C~6c5b 2020 05 31.52961 19 09 00.783 -19 50 19.68 25.1r 20KP55 266 C~6c5b 2020 05 31.61814 19 09 00.359 -19 50 20.02 25.1r 20KP55 266 C~6c5b 2020 06 21.45390 19 07 08.617 -19 52 20.22 25.1r 20KP55 266 C~6c5b 2020 06 21.53376 19 07 08.137 -19 52 20.81 25.1r 20KP55 266 C~6c5b 2020 06 21.61261 19 07 07.664 -19 52 21.36 25.1r 20KP55 266 C~6c5b 2020 06 24.43648 19 06 50.865 -19 52 42.69 25.0r 20KP55 266 C~6c5b 2020 06 24.52739 19 06 50.309 -19 52 43.39 25.0r 20KP55 266 C~6c5b 2020 06 24.61708 19 06 49.762 -19 52 44.06 25.0r 20KP55 266 C~6c5b 2020 08 12.26680 19 02 07.398 -20 00 10.80 25.3r 20KP55 266 C~6c5c 2020 08 12.34843 19 02 07.004 -20 00 11.55 25.3r 20KP55 266 C~6c5c 2020 08 12.42950 19 02 06.613 -20 00 12.28 25.3r 20KP55 266 C~6c5c 2020 08 14.24286 19 01 58.220 -20 00 28.71 25.0r 20KP55 266 C~6c5c 2020 08 14.33285 19 01 57.799 -20 00 29.54 25.0r 20KP55 266 C~6c5c 2020 08 14.42134 19 01 57.387 -20 00 30.33 25.0r 20KP55 266 C~6c5c
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 -0.02 0.00 -0.02
2 0.0002 -3.60 -0.03 0.24 -0.02
3 0.0003 -6.95 -0.02 0.47 -0.03
4 0.0082 -185.56 0.01 12.34 0.00
5 0.0085 -191.21 0.01 12.68 -0.01
6 0.0087 -196.77 0.02 13.05 -0.00
7 0.0137 -314.67 0.02 20.25 0.05
8 0.0139 -320.62 0.01 20.58 0.05
9 0.0142 -326.60 0.02 20.95 0.05
10 0.0712 -1906.39 -0.01 85.70 -0.01
11 0.0714 -1913.19 -0.01 85.90 -0.02
12 0.0716 -1919.88 -0.00 86.12 -0.02
13 0.0794 -2157.76 0.00 92.23 -0.01
14 0.0796 -2165.63 0.00 92.44 -0.01
15 0.0799 -2173.37 -0.00 92.66 -0.02
16 0.2131 -6181.64 -0.01 92.59 -0.06
17 0.2133 -6187.25 -0.00 92.45 -0.05
18 0.2135 -6192.81 -0.01 92.32 -0.05
19 0.2185 -6312.30 0.01 88.74 0.06
20 0.2187 -6318.29 0.00 88.56 0.06
21 0.2190 -6324.16 0.01 88.40 0.05
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.
20KP55 quality flag:1 Type: 2:1E CENTAURR CENTAURR axisobj 47.587 50.574 45.389 ecceobj 0.370 0.388 0.364 incobj 3.513 3.467 3.559 qmin 29.595 29.730 28.497 qmax 66.801 78.572 63.147 amean 47.797 50.340 44.788 amin 47.288 41.500 43.006 amax 48.498 55.169 46.138 emean 0.361 0.381 0.354 emin 0.344 0.276 0.330 emax 0.380 0.430 0.374 imean 6.020 5.387 4.895 imin 3.547 4.101 4.612 imax 7.481 7.275 5.314 excite_mean 0.376 0.393 0.364 fracstop 1.000 0.043 0.007 cjmean 2.966 2.978 2.947 libcent 0 292.0 -180.0 -180.0 libamp 0 13.8 -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 99.7 178.6 131.6 kozaiamp 180.0 114.5 24.8