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: 20KS54
# Created Fri Nov 22 02:11:05 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 78.97d
# First observation: 2020/05/28
# Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
0.000005 0.017595 0.000003 -0.007850 0.023990 0.000000
# Chi-squared of fit: 0.31 DOF: 36 RMS: 0.02
# Min/Max residuals: -0.04 0.05
# Exact a, adot, b, bdot, g, gdot:
1.490803E-05 2.346784E-02 -5.097538E-06 -7.845269E-03 2.496701E-02 -1.990743E-03
# Covariance matrix:
1.9851E-13 1.5185E-11 -4.4359E-15 -3.4046E-13 3.6271E-12 1.8462E-10
1.5185E-11 1.8888E-07 -9.1816E-11 -1.4155E-09 3.5659E-08 6.2362E-07
-4.4359E-15 -9.1816E-11 1.7129E-13 -2.3241E-13 -1.7307E-11 -2.9686E-10
-3.4046E-13 -1.4155E-09 -2.3241E-13 2.5838E-11 -2.6908E-10 -5.0829E-09
3.6271E-12 3.5659E-08 -1.7307E-11 -2.6908E-10 6.7376E-09 1.1884E-07
1.8462E-10 6.2362E-07 -2.9686E-10 -5.0829E-09 1.1884E-07 2.3038E-06
# lat0 lon0 xBary yBary zBary JD0
2.145281 -71.936263 0.664504 0.028296 -0.758775 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 292.21662 +/- 13.223
Argument of Peri: 252.13477 +/- 21.317
Long of Asc Node: 113.42535 +/- 0.117
Inclination: 18.54039 +/- 0.328
Eccentricity: 0.09954207 +/- 0.0555
Semi-Major Axis: 42.03339255 +/- 0.5151
Time of Perihelion: 2477732.2802 +/- 3639.9
Perihelion: 37.84930182 +/- 2.3766
Aphelion: 46.21748328 +/- 2.3988
Period (y) 272.5209 +/- 5.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.01995401 +/- 0.0408
Ecliptic Y -38.98683115 +/- 0.1251
Ecliptic Z 1.49918416 +/- 0.0049
Ecliptic XDOT 0.00239707 +/- 0.0001
Ecliptic YDOT 0.00097828 +/- 0.0001
Ecliptic ZDOT -0.00086810 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.82523546 +/- 0.1201
Geocenter to KBO 40.05285635 +/- 0.1317
# Hcoef: 9.97
The following table shows the complete astrometric record for 20KS54. 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 (20KS54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 17 03.646 -20 05 38.54 26.6r 20KS54 266 C~6c5a 2020 05 28.50129 19 17 03.441 -20 05 39.05 26.6r 20KS54 266 C~6c5a 2020 05 28.55756 19 17 03.230 -20 05 39.57 26.6r 20KS54 266 C~6c5a 2020 05 30.43935 19 16 56.214 -20 05 57.09 26.2r 20KS54 266 C~6c5a 2020 05 30.53044 19 16 55.860 -20 05 57.96 26.2r 20KS54 266 C~6c5a 2020 05 30.61862 19 16 55.516 -20 05 58.79 26.2r 20KS54 266 C~6c5a 2020 06 01.43269 19 16 48.507 -20 06 16.28 26.1r 20KS54 266 C~6c5a 2020 06 01.47325 19 16 48.345 -20 06 16.69 26.1r 20KS54 266 C~6c5a 2020 06 01.60571 19 16 47.811 -20 06 17.99 26.1r 20KS54 266 C~6c5a 2020 06 20.45583 19 15 23.864 -20 09 48.31 25.9r 20KS54 266 C~6c5a 2020 06 20.52860 19 15 23.502 -20 09 49.21 25.9r 20KS54 266 C~6c5a 2020 06 20.62233 19 15 23.037 -20 09 50.35 25.9r 20KS54 266 C~6c5a 2020 06 22.44948 19 15 14.068 -20 10 13.12 26.2r 20KS54 266 C~6c5a 2020 06 22.52092 19 15 13.709 -20 10 14.02 26.2r 20KS54 266 C~6c5a 2020 06 22.59118 19 15 13.355 -20 10 14.89 26.2r 20KS54 266 C~6c5a 2020 06 25.44823 19 14 59.122 -20 10 51.22 25.8r 20KS54 266 C~6c5a 2020 06 25.53213 19 14 58.692 -20 10 52.29 25.8r 20KS54 266 C~6c5a 2020 06 25.61487 19 14 58.270 -20 10 53.33 25.8r 20KS54 266 C~6c5a 2020 08 15.24331 19 10 51.254 -20 22 27.59 25.3r 20KS54 266 C~6c5a 2020 08 15.34125 19 10 50.856 -20 22 28.89 25.3r 20KS54 266 C~6c5a 2020 08 15.42111 19 10 50.533 -20 22 29.93 25.3r 20KS54 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 0.03
2 0.0001 -2.93 -0.02 -0.13 0.03
3 0.0003 -5.94 -0.01 -0.25 0.02
4 0.0055 -106.22 0.03 -4.65 -0.01
5 0.0057 -111.28 0.03 -4.86 -0.00
6 0.0059 -116.19 0.03 -5.05 -0.00
7 0.0109 -216.36 -0.02 -9.45 -0.01
8 0.0110 -218.68 -0.02 -9.55 -0.02
9 0.0114 -226.31 -0.03 -9.86 -0.02
10 0.0630 -1425.89 0.05 -64.82 -0.01
11 0.0632 -1431.06 0.04 -65.06 -0.01
12 0.0635 -1437.70 0.04 -65.34 -0.01
13 0.0685 -1565.87 -0.04 -71.67 0.01
14 0.0686 -1571.00 -0.03 -71.91 0.01
15 0.0688 -1576.05 -0.04 -72.13 0.01
16 0.0767 -1779.47 0.01 -82.43 -0.01
17 0.0769 -1785.61 -0.00 -82.71 -0.01
18 0.0771 -1791.64 0.00 -82.98 -0.01
19 0.2157 -5327.93 0.00 -336.93 0.00
20 0.2160 -5333.65 -0.00 -337.53 0.00
21 0.2162 -5338.29 0.00 -338.01 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.
20KS54 quality flag:1 Type: SCATEXTD SCATEXTD SCATNEAR axisobj 41.550 45.728 39.809 ecceobj 0.101 0.136 0.199 incobj 18.606 17.582 19.537 qmin 37.057 38.912 30.915 qmax 46.692 53.422 49.632 amean 41.732 46.009 39.599 amin 41.401 45.623 38.721 amax 42.086 46.438 40.892 emean 0.094 0.139 0.181 emin 0.080 0.128 0.108 emax 0.110 0.151 0.225 imean 17.014 15.946 17.012 imin 16.333 15.569 12.985 imax 17.723 16.341 22.282 excite_mean 0.307 0.308 0.346 fracstop 1.000 1.000 1.000 cjmean 2.963 3.008 2.912 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 184.3 192.0 176.4 kozaiamp 180.0 179.9 180.0