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: 20KG54
# Created Fri Nov 22 02:11:04 2024
# Orbit generated from Bernstein formalism
# Fitting 28 observations of 28
# Arc: 1.26y
# First observation: 2020/05/31
# Last observation: 2021/09/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000010 0.040632 -0.000011 -0.016673 0.031694 0.000000
# Chi-squared of fit: 7.89 DOF: 50 RMS: 0.09
# Min/Max residuals: -0.22 0.28
# Exact a, adot, b, bdot, g, gdot:
2.041585E-05 4.060322E-02 -8.159848E-06 -1.671957E-02 3.167960E-02 3.604959E-03
# Covariance matrix:
2.6926E-13 3.3707E-13 2.4761E-14 -2.9952E-13 4.0164E-13 1.4238E-11
3.3707E-13 3.1632E-12 2.1337E-13 -2.5013E-12 1.7590E-12 1.1874E-10
2.4761E-14 2.1337E-13 1.3349E-13 -2.9367E-13 1.1422E-13 8.7880E-12
-2.9952E-13 -2.5013E-12 -2.9367E-13 2.3430E-12 -1.3541E-12 -1.0264E-10
4.0164E-13 1.7590E-12 1.1422E-13 -1.3541E-12 1.2640E-12 6.4314E-11
1.4238E-11 1.1874E-10 8.7880E-12 -1.0264E-10 6.4314E-11 4.8717E-09
# lat0 lon0 xBary yBary zBary JD0
2.969241 -73.507150 0.603589 0.041763 -0.807640 2459000.942191
# Heliocentric elements and errors
Epoch: 2459000.5000 = 2020/05/31
Mean Anomaly: 2.03074 +/- 0.047
Argument of Peri: 162.44359 +/- 0.236
Long of Asc Node: 112.46614 +/- 0.000
Inclination: 22.42180 +/- 0.001
Eccentricity: 0.59587149 +/- 0.0005
Semi-Major Axis: 79.69125779 +/- 0.0831
Time of Perihelion: 2457534.7267 +/- 34.2
Perihelion: 32.20550890 +/- 0.0545
Aphelion: 127.17700669 +/- 0.1394
Period (y) 711.4170 +/- 1.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.60594119 +/- 0.0003
Ecliptic Y -31.18029988 +/- 0.0011
Ecliptic Z 1.63492999 +/- 0.0001
Ecliptic XDOT 0.00348237 +/- 0.0000
Ecliptic YDOT 0.00062968 +/- 0.0000
Ecliptic ZDOT -0.00142711 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.38744078 +/- 0.0010
Geocenter to KBO 31.56605901 +/- 0.0011
# Hcoef: 10.70
The following table shows the complete astrometric record for 20KG54. 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 (20KG54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 31.44139 19 10 00.163 -19 28 25.12 26.0r 20KG54 266 C~6c5Z 2020 05 31.52961 19 09 59.751 -19 28 26.35 26.0r 20KG54 266 C~6c5Z 2020 05 31.61814 19 09 59.336 -19 28 27.57 26.0r 20KG54 266 C~6c5Z 2020 06 21.45390 19 08 09.551 -19 33 57.99 25.8r 20KG54 266 C~6c5Z 2020 06 21.53376 19 08 09.077 -19 33 59.40 25.8r 20KG54 266 C~6c5Z 2020 06 21.61261 19 08 08.610 -19 34 00.76 25.8r 20KG54 266 C~6c5Z 2020 06 24.43648 19 07 52.041 -19 34 51.26 25.8r 20KG54 266 C~6c5Z 2020 06 24.52739 19 07 51.493 -19 34 52.90 25.8r 20KG54 266 C~6c5Z 2020 06 24.61708 19 07 50.953 -19 34 54.49 25.8r 20KG54 266 C~6c5Z 2020 08 12.26680 19 03 12.126 -19 50 53.09 25.7r 20KG54 266 C~6c5Z 2020 08 12.34843 19 03 11.737 -19 50 54.71 25.7r 20KG54 266 C~6c5Z 2020 08 12.42950 19 03 11.352 -19 50 56.30 25.7r 20KG54 266 C~6c5Z 2020 08 14.24286 19 03 03.104 -19 51 31.95 25.6r 20KG54 266 C~6c5Z 2020 08 14.33285 19 03 02.690 -19 51 33.73 25.6r 20KG54 266 C~6c5Z 2020 08 14.42134 19 03 02.284 -19 51 35.45 25.6r 20KG54 266 C~6c5Z 2021 07 24.794807 19 15 13.633 -20 24 54.17 20KG54 250 S~7Bjx 2021 07 24.800953 19 15 13.587 -20 24 54.36 20KG54 250 S~7Bjx 2021 07 24.807098 19 15 13.539 -20 24 54.48 20KG54 250 S~7Bjx 2021 07 24.813244 19 15 13.494 -20 24 54.51 20KG54 250 S~7Bjx 2021 07 24.819390 19 15 13.452 -20 24 54.53 20KG54 250 S~7Bjx 2021 07 27.509494 19 14 57.885 -20 25 51.31 20KG54 250 S~7Bjx 2021 07 27.515640 19 14 57.839 -20 25 51.47 20KG54 250 S~7Bjx 2021 07 27.521786 19 14 57.792 -20 25 51.55 20KG54 250 S~7Bjx 2021 07 27.527932 19 14 57.746 -20 25 51.58 20KG54 250 S~7Bjx 2021 07 27.534078 19 14 57.707 -20 25 51.59 20KG54 250 S~7Bjx 2021 09 05.23104 19 12 02.881 -20 38 39.27 25.6r 20KG54 266 C~7ulo 2021 09 05.31313 19 12 02.660 -20 38 40.64 25.6r 20KG54 266 C~7ulo 2021 09 05.39640 19 12 02.438 -20 38 42.00 25.6r 20KG54 266 C~7ulo
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 -0.04
2 0.0002 -5.93 -0.02 -0.52 -0.03
3 0.0005 -11.90 -0.03 -1.03 -0.04
4 0.0575 -1592.27 0.03 -145.30 0.04
5 0.0577 -1599.09 0.03 -145.92 0.03
6 0.0580 -1605.80 0.02 -146.50 0.04
7 0.0657 -1844.29 0.01 -169.28 -0.03
8 0.0659 -1852.17 0.02 -170.00 -0.03
9 0.0662 -1859.94 0.01 -170.69 -0.03
10 0.1994 -5881.97 -0.04 -677.34 0.02
11 0.1996 -5887.61 -0.05 -678.35 0.02
12 0.1998 -5893.19 -0.05 -679.33 0.01
13 0.2048 -6012.87 0.03 -702.01 0.03
14 0.2050 -6018.87 0.03 -703.14 0.03
15 0.2053 -6024.76 0.03 -704.22 0.03
16 1.1481 3968.13 0.28 -3910.34 -0.09
17 1.1481 3967.47 0.13 -3910.44 -0.13
18 1.1482 3966.78 -0.03 -3910.47 -0.10
19 1.1482 3966.15 -0.15 -3910.42 0.01
20 1.1482 3965.56 -0.22 -3910.37 0.13
21 1.1556 3741.17 0.27 -3938.80 -0.11
22 1.1556 3740.51 0.12 -3938.88 -0.12
23 1.1556 3739.85 -0.04 -3938.88 -0.05
24 1.1556 3739.20 -0.17 -3938.82 0.07
25 1.1556 3738.65 -0.21 -3938.76 0.19
26 1.2643 1205.40 0.00 -4393.46 0.06
27 1.2645 1202.15 0.00 -4394.44 0.06
28 1.2648 1198.89 0.00 -4395.41 0.06
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.
20KG54 quality flag:3 Type: CENTAURS CENTAURS CENTAURS axisobj 77.107 77.808 76.431 ecceobj 0.583 0.587 0.579 incobj 22.478 22.479 22.477 qmin 30.033 30.052 28.662 qmax 148.457 152.599 165.033 amean 84.443 84.970 82.767 amin 77.107 76.856 73.485 amax 89.617 92.459 97.344 emean 0.625 0.627 0.627 emin 0.580 0.575 0.571 emax 0.657 0.651 0.695 imean 19.288 19.530 16.968 imin 17.112 17.544 13.407 imax 21.309 21.495 21.263 excite_mean 0.707 0.711 0.693 fracstop 1.000 1.000 1.000 cjmean 2.824 2.820 2.827 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 186.7 182.0 222.1 kozaiamp 180.0 180.0 180.0