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: 20KN54
# Created Sun Dec 22 02:11:12 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 77.97d
# First observation: 2020/05/28
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000015 0.045453 0.000009 0.010084 0.048923 0.000000
# Chi-squared of fit: 0.11 DOF: 36 RMS: 0.01
# Min/Max residuals: -0.03 0.02
# Exact a, adot, b, bdot, g, gdot:
1.882737E-05 6.163817E-02 3.052512E-06 9.998039E-03 5.144382E-02 -1.512950E-02
# Covariance matrix:
2.1080E-13 -4.1149E-11 1.8111E-14 6.8149E-14 -6.8667E-12 1.0961E-11
-4.1149E-11 1.3324E-07 -7.3852E-11 3.1193E-10 2.4772E-08 1.9900E-07
1.8111E-14 -7.3852E-11 1.7538E-13 -9.7053E-13 -1.3774E-11 -1.1503E-10
6.8149E-14 3.1193E-10 -9.7053E-13 1.0664E-11 5.9611E-11 6.4584E-10
-6.8667E-12 2.4772E-08 -1.3774E-11 5.9611E-11 4.6124E-09 3.7708E-08
1.0961E-11 1.9900E-07 -1.1503E-10 6.4584E-10 3.7708E-08 3.7607E-07
# lat0 lon0 xBary yBary zBary JD0
2.006723 -72.603240 0.655621 0.026730 -0.766520 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 247.82527 +/- 0.604
Argument of Peri: 152.68357 +/- 0.487
Long of Asc Node: 273.93811 +/- 0.070
Inclination: 9.50259 +/- 0.054
Eccentricity: 0.32690442 +/- 0.0088
Semi-Major Axis: 16.89777625 +/- 0.0286
Time of Perihelion: 2466896.1082 +/- 37.5
Perihelion: 11.37381850 +/- 0.1499
Aphelion: 22.42173400 +/- 0.1534
Period (y) 69.4628 +/- 0.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.41740216 +/- 0.0077
Ecliptic Y -19.47297463 +/- 0.0245
Ecliptic Z 0.68080957 +/- 0.0009
Ecliptic XDOT 0.00289229 +/- 0.0000
Ecliptic YDOT 0.00177000 +/- 0.0000
Ecliptic ZDOT 0.00050334 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 20.22395828 +/- 0.0237
Geocenter to KBO 19.43868145 +/- 0.0257
# Hcoef: 11.40
The following table shows the complete astrometric record for 20KN54. 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 (20KN54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 14 19.186 -20 19 02.91 24.6r 20KN54 266 C~6c5Z 2020 05 28.50129 19 14 18.780 -20 19 03.11 24.6r 20KN54 266 C~6c5Z 2020 05 28.55756 19 14 18.360 -20 19 03.30 24.6r 20KN54 266 C~6c5Z 2020 05 30.43935 19 14 04.427 -20 19 09.98 24.4r 20KN54 266 C~6c5Z 2020 05 30.53044 19 14 03.723 -20 19 10.36 24.4r 20KN54 266 C~6c5Z 2020 05 30.61862 19 14 03.040 -20 19 10.68 24.4r 20KN54 266 C~6c5Z 2020 06 01.43269 19 13 49.104 -20 19 18.25 24.6r 20KN54 266 C~6c5Z 2020 06 01.47325 19 13 48.780 -20 19 18.45 24.6r 20KN54 266 C~6c5Z 2020 06 01.60571 19 13 47.718 -20 19 19.05 24.6r 20KN54 266 C~6c5Z 2020 06 21.45390 19 10 49.708 -20 21 39.44 24.2r 20KN54 266 C~6c5Z 2020 06 21.53376 19 10 48.904 -20 21 40.17 24.2r 20KN54 266 C~6c5Z 2020 06 21.61261 19 10 48.112 -20 21 40.86 24.2r 20KN54 266 C~6c5Z 2020 06 24.43648 19 10 19.980 -20 22 07.89 24.2r 20KN54 266 C~6c5Z 2020 06 24.52180 19 10 19.106 -20 22 08.72 24.2r 20KN54 266 C~6c5Z 2020 06 24.61708 19 10 18.132 -20 22 09.60 24.2r 20KN54 266 C~6c5Z 2020 08 12.26680 19 02 21.935 -20 31 14.54 24.5r 20KN54 266 C~6c5Z 2020 08 12.34843 19 02 21.269 -20 31 15.39 24.5r 20KN54 266 C~6c5Z 2020 08 12.42950 19 02 20.609 -20 31 16.19 24.5r 20KN54 266 C~6c5Z 2020 08 14.24286 19 02 06.431 -20 31 34.47 24.4r 20KN54 266 C~6c5Z 2020 08 14.33285 19 02 05.721 -20 31 35.38 24.4r 20KN54 266 C~6c5Z 2020 08 14.42134 19 02 05.024 -20 31 36.23 24.4r 20KN54 266 C~6c5Z
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 0.00
2 0.0001 -5.69 0.02 0.53 0.00
3 0.0003 -11.57 0.02 1.09 0.00
4 0.0055 -206.83 0.00 19.28 -0.01
5 0.0057 -216.71 0.00 20.15 -0.01
6 0.0059 -226.28 0.01 21.05 -0.00
7 0.0109 -421.69 -0.03 38.29 -0.00
8 0.0110 -426.24 -0.03 38.66 -0.00
9 0.0114 -441.14 -0.03 39.95 -0.01
10 0.0657 -2943.09 0.00 210.61 0.01
11 0.0659 -2954.40 0.00 211.26 0.01
12 0.0662 -2965.54 0.00 211.93 0.02
13 0.0739 -3361.60 0.01 233.04 -0.00
14 0.0741 -3373.90 0.01 233.70 0.00
15 0.0744 -3387.61 0.00 234.48 0.01
16 0.2076 -10106.68 -0.02 461.62 0.00
17 0.2078 -10116.09 -0.01 461.79 -0.00
18 0.2080 -10125.42 -0.01 462.01 -0.00
19 0.2130 -10325.89 0.01 465.47 -0.01
20 0.2132 -10335.93 0.01 465.64 -0.00
21 0.2135 -10345.78 0.01 465.86 -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.
20KN54 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 16.767 17.331 16.295 ecceobj 0.333 0.274 0.389 incobj 9.543 9.272 9.837 qmin 11.088 12.578 9.957 qmax 22.773 22.537 27.867 amean 16.811 17.406 17.166 amin 16.589 17.070 16.145 amax 17.057 17.760 19.045 emean 0.330 0.267 0.406 emin 0.305 0.248 0.370 emax 0.343 0.278 0.463 imean 11.087 10.458 11.656 imin 10.647 10.201 10.790 imax 12.878 10.832 12.093 excite_mean 0.382 0.323 0.454 fracstop 0.005 0.002 0.001 cjmean 3.178 3.173 3.110 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 198.8 201.4 206.4 kozaiamp 37.3 48.7 49.3