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: 20KP11
# Created Sun Dec 22 02:11:11 2024
# Orbit generated from Bernstein formalism
# Fitting 65 observations of 65
# Arc: 3.29y
# First observation: 2020/05/26
# Last observation: 2023/09/10
Preliminary a, adot, b, bdot, g, gdot:
-0.000033 0.014723 -0.000000 -0.006000 0.019487 0.000000
# Chi-squared of fit: 5.26 DOF: 124 RMS: 0.05
# Min/Max residuals: -0.16 0.15
# Exact a, adot, b, bdot, g, gdot:
1.225487E-05 1.486790E-02 -4.956182E-06 -6.063229E-03 1.975646E-02 1.774218E-03
# Covariance matrix:
6.7540E-14 -1.6565E-14 -6.4575E-16 2.7716E-15 3.3757E-14 -1.5172E-13
-1.6565E-14 1.0318E-13 2.3486E-14 -6.9073E-14 6.8352E-14 3.7501E-12
-6.4575E-16 2.3486E-14 5.4438E-14 -4.3540E-14 1.6056E-14 1.1279E-12
2.7716E-15 -6.9073E-14 -4.3540E-14 8.2633E-14 -4.5954E-14 -3.3364E-12
3.3757E-14 6.8352E-14 1.6056E-14 -4.5954E-14 9.8547E-14 2.4931E-12
-1.5172E-13 3.7501E-12 1.1279E-12 -3.3364E-12 2.4931E-12 1.8117E-10
# lat0 lon0 xBary yBary zBary JD0
1.902829 -73.592993 0.667956 0.024980 -0.755727 2458995.952801
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 136.45080 +/- 0.236
Argument of Peri: 27.78935 +/- 0.229
Long of Asc Node: 110.28200 +/- 0.000
Inclination: 22.12505 +/- 0.001
Eccentricity: 0.15669123 +/- 0.0004
Semi-Major Axis: 45.73745180 +/- 0.0068
Time of Perihelion: 2416167.2175 +/- 73.4
Perihelion: 38.57079400 +/- 0.0177
Aphelion: 52.90410959 +/- 0.0185
Period (y) 309.3258 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.86757105 +/- 0.0002
Ecliptic Y -49.44934247 +/- 0.0008
Ecliptic Z 1.68051189 +/- 0.0000
Ecliptic XDOT 0.00206191 +/- 0.0000
Ecliptic YDOT 0.00032299 +/- 0.0000
Ecliptic ZDOT -0.00083185 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 51.38454162 +/- 0.0007
Geocenter to KBO 50.61634777 +/- 0.0008
# Hcoef: 7.97
The following table shows the complete astrometric record for 20KP11. 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 (20KP11) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.452 19 10 11.068 -20 32 33.53 25.8R 20KP11 266 C~4Al3 2020 05 26.510 19 10 10.887 -20 32 33.95 25.8R 20KP11 266 C~4Al3 2020 05 29.44698 19 10 01.709 -20 32 55.27 25.3r 20KP11 266 C~6VL7 2020 05 29.53371 19 10 01.425 -20 32 55.93 25.3r 20KP11 266 C~5Zeg 2020 05 29.61905 19 10 01.144 -20 32 56.56 25.3r 20KP11 266 C~5Zeg 2020 05 31.44139 19 09 55.214 -20 33 10.35 25.3r 20KP11 266 C~5Zeg 2020 05 31.52961 19 09 54.916 -20 33 11.03 25.3r 20KP11 266 C~5Zeg 2020 05 31.61814 19 09 54.617 -20 33 11.71 25.3r 20KP11 266 C~6VL7 2020 06 21.45390 19 08 36.555 -20 36 13.41 25.4r 20KP11 266 C~5Zeg 2020 06 21.53376 19 08 36.223 -20 36 14.17 25.4r 20KP11 266 C~5Zeg 2020 06 21.61261 19 08 35.895 -20 36 14.92 25.4r 20KP11 266 C~6VL7 2020 06 24.43648 19 08 24.271 -20 36 42.37 25.1r 20KP11 266 C~5Zeg 2020 06 24.52739 19 08 23.887 -20 36 43.26 25.1r 20KP11 266 C~5Zeg 2020 06 24.61708 19 08 23.510 -20 36 44.12 25.1r 20KP11 266 C~6VL7 2020 08 12.26680 19 05 06.975 -20 45 09.89 25.7r 20KP11 266 C~6VL7 2020 08 12.34843 19 05 06.693 -20 45 10.71 25.7r 20KP11 266 C~5Zeg 2020 08 12.42950 19 05 06.415 -20 45 11.52 25.7r 20KP11 266 C~6VL7 2020 08 14.24286 19 05 00.393 -20 45 29.62 25.1r 20KP11 266 C~5Zeg 2020 08 14.33285 19 05 00.092 -20 45 30.52 25.1r 20KP11 266 C~5Zeg 2020 08 14.42134 19 04 59.796 -20 45 31.39 25.1r 20KP11 266 C~6VL7 2020 10 26.270819 19 04 08.895 -20 53 18.97 20KP11 250 S~5zHA 2020 10 26.277138 19 04 08.904 -20 53 19.01 20KP11 250 S~5zHA 2020 10 26.283457 19 04 08.910 -20 53 19.02 20KP11 250 S~5zHA 2020 10 26.289777 19 04 08.918 -20 53 18.97 20KP11 250 S~5zHA 2020 10 26.296096 19 04 08.929 -20 53 18.92 20KP11 250 S~5zHA 2020 11 06.260646 19 04 37.915 -20 53 31.42 20KP11 250 S~5zHA 2020 11 06.266965 19 04 37.930 -20 53 31.40 20KP11 250 S~5zHA 2020 11 06.273285 19 04 37.942 -20 53 31.36 20KP11 250 S~5zHA 2020 11 06.279604 19 04 37.957 -20 53 31.30 20KP11 250 S~5zHA 2020 11 06.285924 19 04 37.973 -20 53 31.26 20KP11 250 S~5zHA 2021 03 04.218589 19 13 51.431 -20 44 50.03 20KP11 250 S~5zHA 2021 03 04.224908 19 13 51.449 -20 44 49.99 20KP11 250 S~5zHA 2021 03 04.231228 19 13 51.461 -20 44 49.93 20KP11 250 S~5zHA 2021 03 04.237547 19 13 51.476 -20 44 49.88 20KP11 250 S~5zHA 2021 03 04.243867 19 13 51.493 -20 44 49.86 20KP11 250 S~5zHA 2021 06 09.44201 19 13 13.474 -20 48 48.69 25.5r 20KP11 266 C~6Ion 2021 06 09.52741 19 13 13.155 -20 48 49.47 25.5r 20KP11 266 C~6Ion 2021 06 09.61426 19 13 12.831 -20 48 50.24 25.5r 20KP11 266 C~6Ion 2021 06 17.43605 19 12 43.011 -20 50 03.61 25.5r 20KP11 266 C~6Ion 2021 06 17.50053 19 12 42.752 -20 50 04.24 25.5r 20KP11 266 C~6Ion 2021 06 17.57953 19 12 42.435 -20 50 05.00 25.5r 20KP11 266 C~6Ion 2021 07 05.35106 19 11 28.852 -20 53 07.42 24.9r 20KP11 266 C~6Ion 2021 07 05.43951 19 11 28.469 -20 53 08.37 24.9r 20KP11 266 C~6Ion 2021 07 05.52517 19 11 28.098 -20 53 09.28 24.9r 20KP11 266 C~6Ion 2021 09 06.23258 19 07 48.622 -21 03 43.37 26.3r 20KP11 266 C~6Ion 2021 09 06.31281 19 07 48.463 -21 03 44.01 26.3r 20KP11 266 C~6Ion 2021 09 06.39352 19 07 48.304 -21 03 44.65 26.3r 20KP11 266 C~6Ion 2022 06 29.45229 19 15 44.146 -21 06 16.05 25.0r 20KP11 266 C~7uln 2022 06 29.51531 19 15 43.878 -21 06 16.73 25.0r 20KP11 266 C~7uln 2022 06 29.57696 19 15 43.615 -21 06 17.39 25.0r 20KP11 266 C~7uln 2022 06 30.45132 19 15 39.953 -21 06 26.87 24.9r 20KP11 266 C~7uln 2022 06 30.51472 19 15 39.682 -21 06 27.55 24.9r 20KP11 266 C~7uln 2022 06 30.57688 19 15 39.416 -21 06 28.22 24.9r 20KP11 266 C~7uln 2022 10 20.21696 19 11 24.551 -21 21 51.49 24.2V 20KP11 266 C~7uln 2022 10 20.26058 19 11 24.616 -21 21 51.56 24.2V 20KP11 266 C~7uln 2022 10 20.29842 19 11 24.672 -21 21 51.63 24.2V 20KP11 266 C~7uln 2022 10 21.20926 19 11 26.121 -21 21 53.27 24.4V 20KP11 266 C~7uln 2022 10 21.25420 19 11 26.191 -21 21 53.34 24.4V 20KP11 266 C~7uln 2022 10 21.29846 19 11 26.261 -21 21 53.41 24.4V 20KP11 266 C~7uln 2023 09 09.22891 19 15 18.114 -21 32 33.24 23.9V 20KP11 266 C~7uln 2023 09 09.32430 19 15 17.929 -21 32 33.96 23.9V 20KP11 266 C~7uln 2023 09 09.41985 19 15 17.746 -21 32 34.66 23.9V 20KP11 266 C~7uln 2023 09 10.22905 19 15 16.282 -21 32 40.74 23.7V 20KP11 266 C~7uln 2023 09 10.32490 19 15 16.104 -21 32 41.45 23.7V 20KP11 266 C~7uln 2023 09 10.42059 19 15 15.927 -21 32 42.14 23.7V 20KP11 266 C~7uln
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 -0.07 0.00 0.02
2 0.0002 -2.57 -0.08 -0.11 0.02
3 0.0082 -133.11 0.00 -5.83 0.02
4 0.0084 -137.15 0.00 -6.00 0.02
5 0.0087 -141.15 -0.01 -6.16 0.02
6 0.0137 -225.49 0.02 -9.88 0.00
7 0.0139 -229.72 0.02 -10.06 0.01
8 0.0141 -233.98 0.03 -10.23 0.00
9 0.0712 -1344.02 -0.03 -60.66 0.01
10 0.0714 -1348.74 -0.02 -60.87 0.01
11 0.0716 -1353.40 -0.03 -61.07 0.01
12 0.0794 -1518.71 0.01 -69.17 0.00
13 0.0796 -1524.16 0.01 -69.42 0.00
14 0.0798 -1529.52 0.02 -69.65 0.00
15 0.2130 -4327.98 0.05 -255.63 0.01
16 0.2133 -4332.00 0.04 -256.00 0.01
17 0.2135 -4335.97 0.05 -256.37 0.00
18 0.2185 -4421.97 -0.01 -264.89 0.01
19 0.2187 -4426.27 -0.00 -265.31 0.01
20 0.2189 -4430.50 -0.01 -265.71 0.01
21 0.4184 -5192.21 0.15 -651.01 -0.11
22 0.4184 -5192.09 0.08 -651.06 -0.13
23 0.4184 -5192.00 -0.03 -651.08 -0.12
24 0.4184 -5191.89 -0.11 -651.04 -0.05
25 0.4185 -5191.73 -0.15 -651.01 0.02
26 0.4485 -4789.19 0.13 -708.57 -0.11
27 0.4485 -4788.98 0.08 -708.57 -0.08
28 0.4485 -4788.80 -0.02 -708.55 -0.03
29 0.4485 -4788.59 -0.07 -708.51 0.04
30 0.4486 -4788.36 -0.11 -708.50 0.08
31 0.7714 2979.57 0.15 -1110.81 -0.03
32 0.7715 2979.83 0.11 -1110.80 -0.01
33 0.7715 2980.00 -0.01 -1110.76 0.04
34 0.7715 2980.22 -0.10 -1110.74 0.07
35 0.7715 2980.46 -0.16 -1110.75 0.07
36 1.0376 2421.48 -0.01 -1280.99 0.05
37 1.0379 2416.95 -0.02 -1281.21 0.04
38 1.0381 2412.34 -0.01 -1281.41 0.04
39 1.0595 1988.33 0.01 -1302.25 0.00
40 1.0597 1984.65 0.01 -1302.43 -0.00
41 1.0599 1980.14 0.01 -1302.63 -0.00
42 1.1086 934.07 0.04 -1356.88 0.01
43 1.1088 928.63 0.05 -1357.17 0.01
44 1.1090 923.35 0.05 -1357.44 0.01
45 1.2807 -2204.48 -0.02 -1620.81 0.02
46 1.2809 -2206.77 -0.01 -1621.18 0.02
47 1.2812 -2209.05 -0.01 -1621.56 0.02
48 2.0917 4383.22 0.00 -2587.53 -0.03
49 2.0919 4379.41 0.01 -2587.72 -0.03
50 2.0921 4375.67 0.00 -2587.91 -0.03
51 2.0945 4323.61 0.01 -2590.72 -0.01
52 2.0946 4319.76 0.02 -2590.90 -0.01
53 2.0948 4315.98 0.01 -2591.09 -0.01
54 2.4005 664.14 -0.00 -3060.96 -0.04
55 2.4006 665.04 0.00 -3061.14 -0.03
56 2.4007 665.80 -0.01 -3061.31 -0.04
57 2.4032 685.70 0.01 -3065.40 0.06
58 2.4033 686.66 0.00 -3065.59 0.07
59 2.4034 687.62 0.01 -3065.78 0.06
60 3.2875 3820.16 -0.03 -4105.67 -0.01
61 3.2878 3817.51 -0.04 -4106.05 -0.01
62 3.2881 3814.89 -0.03 -4106.42 -0.01
63 3.2903 3793.84 0.01 -4109.84 -0.00
64 3.2905 3791.29 0.02 -4110.22 -0.00
65 3.2908 3788.75 0.01 -4110.59 -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.
20KP11 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.253 45.272 45.233 ecceobj 0.163 0.164 0.162 incobj 22.225 22.226 22.225 qmin 36.940 36.906 36.887 qmax 54.394 54.542 54.488 amean 45.481 45.503 45.483 amin 45.072 45.063 45.069 amax 45.977 45.968 45.964 emean 0.167 0.169 0.169 emin 0.149 0.152 0.151 emax 0.185 0.187 0.186 imean 20.546 20.533 20.505 imin 20.046 20.068 20.071 imax 21.045 21.037 20.986 excite_mean 0.389 0.389 0.389 fracstop 1.000 1.000 1.000 cjmean 2.932 2.931 2.932 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 169.4 169.0 169.3 kozaiamp 180.0 180.0 180.0