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: 21CO10 # Created Sun Dec 22 02:11:16 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 97 observations of 97 # Arc: 10.34y # First observation: 2011/11/24 # Last observation: 2022/03/27 # Chi-squared of fit: 105.95 DOF: 188 RMS: 0.18 # Min/Max residuals: -0.61 0.78 # Exact a, adot, b, bdot, g, gdot: 2.403819E-05 1.044211E-01 -1.720214E-06 9.394080E-03 7.163515E-02 -7.763292E-02 # Covariance matrix: 3.4836E-11 1.0990E-11 -6.1258E-12 2.0237E-11 -3.8542E-11 -5.1584E-10 1.0990E-11 3.6542E-08 -4.6933E-11 2.9082E-09 -1.7919E-11 -1.5205E-07 -6.1258E-12 -4.6933E-11 2.5895E-12 -1.1792E-11 7.0633E-12 3.0714E-10 2.0237E-11 2.9082E-09 -1.1792E-11 5.2655E-09 -2.3387E-11 -1.4264E-08 -3.8542E-11 -1.7919E-11 7.0633E-12 -2.3387E-11 4.4436E-11 5.9765E-10 -5.1584E-10 -1.5205E-07 3.0714E-10 -1.4264E-08 5.9765E-10 7.3854E-07 # lat0 lon0 xBary yBary zBary JD0 14.468745 31.698820 -0.492737 0.213061 -0.825615 2455889.898618 # Heliocentric elements and errors Epoch: 2455890.5000 = 2011/11/25 Mean Anomaly: 325.63281 +/- 0.021 Argument of Peri: 179.18611 +/- 0.000 Long of Asc Node: 320.01267 +/- 0.000 Inclination: 14.18409 +/- 0.000 Eccentricity: 0.60351103 +/- 0.0000 Semi-Major Axis: 19.62491428 +/- 0.0000 Time of Perihelion: 2458921.9584 +/- 1.8 Perihelion: 7.78106200 +/- 0.0001 Aphelion: 31.46876656 +/- 0.0001 Period (y) 86.9400 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.97024259 +/- 0.0000 Ecliptic Y 7.97121121 +/- 0.0000 Ecliptic Z 3.48779145 +/- 0.0000 Ecliptic XDOT -0.00462168 +/- 0.0000 Ecliptic YDOT 0.00184373 +/- 0.0000 Ecliptic ZDOT -0.00039361 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 14.79859159 +/- 0.0000 Geocenter to KBO 13.95991043 +/- 0.0000 # Hcoef: 12.92
The following table shows the complete astrometric record for 21CO10. 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 (21CO10) followed by the observatory code and reference code for the source of the astrometry.
2011 11 24.397852 01 36 08.68 +25 34 13.3 23.9r 21CO10 568 C~5SKr 2011 11 30.385904 01 35 10.09 +25 25 36.3 24.2r 21CO10 568 C~5SKr 2011 11 30.402316 01 35 09.92 +25 25 34.8 24.1r 21CO10 568 C~5SKr 2011 12 01.397649 01 35 00.96 +25 24 09.2 24.4r 21CO10 568 C~5SKr 2016 02 04.266294 03 56 35.426 +34 37 37.39 23.9G 21CO10 F51 C~5SKr 2017 08 31.618856 06 35 11.131 +33 24 22.42 23.0G 21CO10 F51 C~5SKr 2017 08 31.624337 06 35 11.293 +33 24 22.71 22.6G 21CO10 F51 C~5SKr 2018 12 14.608445 08 09 35.975 +27 11 27.45 21.7G 21CO10 F51 C~5SKr 2018 12 14.620049 08 09 35.798 +27 11 27.87 22.0G 21CO10 F51 C~5SKr 2018 12 14.631665 08 09 35.624 +27 11 28.13 22.2G 21CO10 F51 C~5SKr 2018 12 14.643318 08 09 35.460 +27 11 28.49 22.2G 21CO10 F51 C~5SKr 2018 12 31.420398 08 04 42.499 +27 19 17.23 21.9G 21CO10 F51 C~5SKr 2018 12 31.432759 08 04 42.233 +27 19 17.69 22.1G 21CO10 F51 C~5SKr 2018 12 31.445152 08 04 41.988 +27 19 17.66 22.5G 21CO10 F51 C~5SKr 2018 12 31.457637 08 04 41.727 +27 19 18.33 22.1G 21CO10 F51 C~5SKr 2019 01 09.364993 08 01 33.051 +27 22 40.26 21.8G 21CO10 F51 C~5SKr 2019 01 09.376902 08 01 32.783 +27 22 40.52 21.7G 21CO10 F51 C~5SKr 2019 01 09.388850 08 01 32.519 +27 22 40.66 22.1G 21CO10 F51 C~5SKr 2019 01 09.400824 08 01 32.250 +27 22 40.86 21.9G 21CO10 F51 C~5SKr 2019 11 06.627149 09 30 39.675 +16 46 12.38 21.7G 21CO10 F51 C~5SKr 2019 11 06.634992 09 30 39.764 +16 46 11.62 21.4G 21CO10 F51 C~5SKr 2019 12 27.481889 09 32 43.014 +15 59 43.23 22.0G 21CO10 F51 C~5SKr 2020 01 18.389805 09 27 20.652 +16 05 44.56 22.5G 21CO10 F51 C~5SKr 2020 01 18.402918 09 27 20.409 +16 05 45.08 21.4G 21CO10 F51 C~5SKr 2020 01 18.415964 09 27 20.179 +16 05 45.44 21.7G 21CO10 F51 C~5SKr 2020 01 18.429069 09 27 19.932 +16 05 45.69 21.7G 21CO10 F51 C~5SKr 2020 01 27.530998 09 24 22.674 +16 10 48.81 22.3G 21CO10 F52 C~5SKr 2020 01 27.543460 09 24 22.422 +16 10 49.37 22.0G 21CO10 F52 C~5SKr 2020 01 27.555870 09 24 22.152 +16 10 49.63 21.6G 21CO10 F52 C~5SKr 2020 01 27.568259 09 24 21.890 +16 10 49.82 21.6G 21CO10 F52 C~5SKr 2020 01 30.517857 09 23 21.349 +16 12 36.91 21.8G 21CO10 F51 C~5SKr 2020 01 30.557242 09 23 20.505 +16 12 38.38 21.6G 21CO10 F51 C~5SKr 2020 03 22.254656 09 08 04.493 +16 28 50.10 21.9G 21CO10 F51 C~5SKr 2020 03 22.265560 09 08 04.387 +16 28 49.91 22.5G 21CO10 F51 C~5SKr 2020 03 22.276484 09 08 04.272 +16 28 49.94 22.2G 21CO10 F51 C~5SKr 2020 03 22.287441 09 08 04.150 +16 28 49.68 22.5G 21CO10 F51 C~5SKr 2020 04 17.297990 09 06 38.158 +16 10 46.13 21.8G 21CO10 F51 C~5SKr 2020 04 17.310104 09 06 38.183 +16 10 45.48 22.1G 21CO10 F51 C~5SKr 2020 04 17.322118 09 06 38.237 +16 10 44.43 23.0G 21CO10 F51 C~5SKr 2020 04 17.334148 09 06 38.266 +16 10 43.52 21.6G 21CO10 F51 C~5SKr 2020 12 20.49525 10 47 52.54 +03 22 02.3 22.1G 21CO10 G96 C~4ZxI 2020 12 23.576896 10 47 55.800 +03 17 14.80 22.4G 21CO10 F52 C~4ZxI 2020 12 23.588537 10 47 55.806 +03 17 13.91 21.8G 21CO10 F52 C~4ZxI 2020 12 23.600235 10 47 55.794 +03 17 12.70 21.5G 21CO10 F52 C~4ZxI 2020 12 23.611972 10 47 55.773 +03 17 11.85 21.7G 21CO10 F52 C~4ZxI 2021 01 11.557396 10 46 36.462 +02 57 45.05 21.6G 21CO10 F51 C~4ZxI 2021 01 11.568993 10 46 36.348 +02 57 45.22 21.7G 21CO10 F51 C~4ZxI 2021 01 11.580640 10 46 36.250 +02 57 44.61 22.1G 21CO10 F51 C~4ZxI 2021 01 15.521285 10 45 59.281 +02 55 51.40 22.0G 21CO10 F52 C~4ZxI 2021 01 15.533479 10 45 59.140 +02 55 51.64 21.7G 21CO10 F52 C~4ZxI 2021 02 07.32767 10 40 33.33 +02 58 12.5 22.1G 21CO10 G96 C~4ZxI 2021 02 07.33282 10 40 33.24 +02 58 12.0 21CO10 G96 C~4ZxI 2021 02 07.34313 10 40 33.06 +02 58 12.8 22.4G 21CO10 G96 C~4ZxI 2021 02 07.44749 10 40 31.225 +02 58 16.31 21.6w 21CO10 F51 C~4ZxI 2021 02 07.45943 10 40 30.999 +02 58 16.89 21.4w 21CO10 F51 C~4ZxI 2021 02 07.47140 10 40 30.778 +02 58 17.18 21.4w 21CO10 F51 C~4ZxI 2021 02 07.48349 10 40 30.557 +02 58 17.47 21.5w 21CO10 F51 C~4ZxI 2021 02 10.516223 10 39 36.020 +03 00 05.99 22.3G 21CO10 F52 C~4ZxI 2021 02 10.538284 10 39 35.561 +03 00 06.58 21.7G 21CO10 F52 C~4ZxI 2021 02 17.474618 10 37 25.057 +03 05 14.41 21.3w 21CO10 F51 C~4ZxI 2021 02 17.487438 10 37 24.798 +03 05 15.09 21.8w 21CO10 F51 C~4ZxI 2021 02 17.500182 10 37 24.547 +03 05 15.60 21.4G 21CO10 F51 C~4ZxI 2021 02 18.21419 10 37 10.79 +03 05 52.6 21.1G 21CO10 807 C~4ZxI 2021 02 18.21808 10 37 10.72 +03 05 52.7 21.1G 21CO10 807 C~4ZxI 2021 02 18.22196 10 37 10.64 +03 05 52.9 20.9G 21CO10 807 C~4ZxI 2021 04 09.316242 10 23 14.043 +03 53 37.92 21.8w 21CO10 F51 C~4iWH 2021 04 09.329336 10 23 13.902 +03 53 38.62 21.7w 21CO10 F51 C~4iWH 2021 04 09.342426 10 23 13.764 +03 53 39.03 21.9w 21CO10 F51 C~4iWH 2021 04 09.355530 10 23 13.633 +03 53 39.58 21.9w 21CO10 F51 C~4iWH 2021 04 13.250956 10 22 38.638 +03 55 54.21 21.5G 21CO10 F51 C~5SKr 2021 04 13.264383 10 22 38.525 +03 55 54.10 22.2G 21CO10 F51 C~5SKr 2021 04 13.277919 10 22 38.399 +03 55 54.56 21.8G 21CO10 F51 C~5SKr 2021 04 17.362091 10 22 08.637 +03 57 46.16 21.8G 21CO10 F51 C~5SKr 2021 04 17.373055 10 22 08.560 +03 57 46.13 21.7G 21CO10 F51 C~5SKr 2021 04 29.283522 10 21 24.380 +03 59 55.32 22.0G 21CO10 F52 C~5SKr 2021 05 13.268403 10 21 55.012 +03 55 40.74 22.0G 21CO10 F51 C~5SKr 2021 05 13.280298 10 21 55.060 +03 55 40.23 21.9G 21CO10 F51 C~5SKr 2021 05 13.292135 10 21 55.156 +03 55 39.92 22.1G 21CO10 F51 C~5SKr 2021 05 13.303974 10 21 55.186 +03 55 39.40 21.9G 21CO10 F51 C~5SKr 2021 06 01.17252 10 24 54.67 +03 37 25.4 22.5R 21CO10 695 C~4pao 2021 06 01.18535 10 24 54.84 +03 37 24.3 22.0R 21CO10 695 C~4pao 2021 06 01.19819 10 24 55.00 +03 37 23.2 22.2R 21CO10 695 C~4pao 2022 01 08.614778 11 52 46.291 -08 38 50.75 22.1G 21CO10 F52 C~5SKr 2022 01 27.522883 11 51 36.723 -09 04 53.10 21.9G 21CO10 F52 C~5SKr 2022 01 27.535055 11 51 36.630 -09 04 53.63 21.8G 21CO10 F52 C~5SKr 2022 01 27.547202 11 51 36.529 -09 04 54.41 21.5G 21CO10 F52 C~5SKr 2022 01 27.559373 11 51 36.433 -09 04 55.35 22.5G 21CO10 F52 C~5SKr 2022 03 02.278170 11 44 01.780 -09 05 35.26 21.7G 21CO10 G37 C~5SKr 2022 03 02.334670 11 44 00.733 -09 05 32.55 21CO10 G37 C~5SKr 2022 03 02.386940 11 43 59.879 -09 05 30.65 21CO10 G37 C~5SKr 2022 03 03.464145 11 43 40.706 -09 04 38.58 22.5G 21CO10 F52 C~5SKr 2022 03 03.476568 11 43 40.470 -09 04 37.92 22.1G 21CO10 F52 C~5SKr 2022 03 03.488949 11 43 40.254 -09 04 37.56 22.5G 21CO10 F52 C~5SKr 2022 03 03.501291 11 43 40.037 -09 04 36.35 22.0G 21CO10 F52 C~5SKr 2022 03 27.351866 11 36 22.930 -08 36 17.63 22.0w 21CO10 F52 C~5Xz5 2022 03 27.373560 11 36 22.512 -08 36 15.62 22.4w 21CO10 F52 C~5Xz5 2022 03 27.384431 11 36 22.345 -08 36 14.72 21.9w 21CO10 F52 C~5Xz5
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 -0.53 0.00 0.65
2 0.0164 0.00 -0.13 0.00 0.33
3 0.0164 0.00 -0.37 0.00 0.25
4 0.0192 0.00 0.19 0.00 0.01
5 4.1968 0.00 0.13 0.00 0.17
6 5.7693 0.00 -0.26 0.00 -0.22
7 5.7693 0.00 0.01 0.00 -0.00
8 7.0560 0.00 0.08 0.00 -0.22
9 7.0560 0.00 -0.00 0.00 -0.11
10 7.0561 0.00 -0.05 0.00 -0.15
11 7.0561 0.00 0.06 0.00 -0.10
12 7.1020 0.00 0.05 0.00 -0.08
13 7.1021 0.00 -0.11 0.00 0.04
14 7.1021 0.00 0.07 0.00 -0.32
15 7.1021 0.00 0.04 0.00 0.02
16 7.1265 0.00 -0.07 0.00 0.04
17 7.1266 0.00 -0.09 0.00 0.05
18 7.1266 0.00 -0.02 0.00 -0.05
19 7.1266 0.00 -0.02 0.00 -0.10
20 7.9513 0.00 0.01 0.00 0.02
21 7.9514 0.00 -0.38 0.00 0.12
22 8.0906 0.00 0.03 0.00 0.06
23 8.1506 0.00 -0.25 0.00 0.09
24 8.1506 0.00 -0.19 0.00 0.20
25 8.1506 0.00 0.05 0.00 0.16
26 8.1507 0.00 0.06 0.00 -0.00
27 8.1756 0.00 0.03 0.00 -0.03
28 8.1756 0.00 0.15 0.00 0.10
29 8.1757 0.00 -0.03 0.00 -0.07
30 8.1757 0.00 -0.10 0.00 -0.31
31 8.1838 0.00 0.01 0.00 -0.02
32 8.1839 0.00 -0.13 0.00 0.04
33 8.3254 0.00 0.04 0.00 -0.15
34 8.3254 0.00 0.11 0.00 -0.17
35 8.3255 0.00 0.06 0.00 0.04
36 8.3255 0.00 -0.10 0.00 -0.04
37 8.3967 0.00 0.07 0.00 -0.06
38 8.3967 0.00 -0.07 0.00 0.11
39 8.3968 0.00 0.24 0.00 -0.12
40 8.3968 0.00 0.16 0.00 -0.21
41 9.0735 0.00 0.09 0.00 0.52
42 9.0819 0.00 0.04 0.00 -0.00
43 9.0820 0.00 0.15 0.00 0.14
44 9.0820 0.00 0.00 0.00 -0.03
45 9.0820 0.00 -0.29 0.00 0.16
46 9.1339 0.00 -0.15 0.00 -0.29
47 9.1339 0.00 -0.29 0.00 0.28
48 9.1340 0.00 -0.18 0.00 0.07
49 9.1448 0.00 0.08 0.00 -0.29
50 9.1448 0.00 -0.08 0.00 0.23
51 9.2072 0.00 0.08 0.00 0.26
52 9.2072 0.00 0.13 0.00 -0.41
53 9.2072 0.00 0.22 0.00 0.06
54 9.2075 0.00 0.15 0.00 -0.06
55 9.2076 0.00 0.01 0.00 0.13
56 9.2076 0.00 -0.05 0.00 0.02
57 9.2076 0.00 -0.07 0.00 -0.08
58 9.2159 0.00 0.26 0.00 0.28
59 9.2160 0.00 -0.41 0.00 0.02
60 9.2350 0.00 0.12 0.00 0.05
61 9.2350 0.00 0.04 0.00 0.09
62 9.2351 0.00 0.05 0.00 -0.03
63 9.2370 0.00 0.04 0.00 0.03
64 9.2370 0.00 0.14 0.00 -0.07
65 9.2370 0.00 0.09 0.00 -0.06
66 9.3742 0.00 0.16 0.00 -0.06
67 9.3742 0.00 0.06 0.00 0.14
68 9.3742 0.00 0.01 0.00 0.06
69 9.3743 0.00 0.07 0.00 0.11
70 9.3850 0.00 -0.04 0.00 0.22
71 9.3850 0.00 0.01 0.00 -0.31
72 9.3850 0.00 -0.13 0.00 -0.27
73 9.3962 0.00 0.10 0.00 0.26
74 9.3962 0.00 0.06 0.00 -0.02
75 9.4288 0.00 -0.07 0.00 -0.13
76 9.4671 0.00 -0.04 0.00 -0.05
77 9.4672 0.00 -0.20 0.00 -0.15
78 9.4672 0.00 0.35 0.00 -0.04
79 9.4672 0.00 -0.09 0.00 -0.14
80 9.5189 0.00 0.23 0.00 0.19
81 9.5189 0.00 0.25 0.00 0.14
82 9.5190 0.00 0.11 0.00 0.08
83 10.1252 0.00 0.22 0.00 -0.03
84 10.1769 0.00 -0.13 0.00 0.07
85 10.1770 0.00 -0.03 0.00 0.19
86 10.1770 0.00 -0.05 0.00 0.06
87 10.1770 0.00 0.01 0.00 -0.24
88 10.2694 0.00 -0.23 0.00 0.01
89 10.2695 0.00 -0.61 0.00 0.12
90 10.2696 0.00 0.78 0.00 -0.41
91 10.2726 0.00 0.14 0.00 0.02
92 10.2726 0.00 0.01 0.00 0.07
93 10.2727 0.00 0.17 0.00 -0.18
94 10.2727 0.00 0.31 0.00 0.42
95 10.3380 0.00 0.12 0.00 0.04
96 10.3381 0.00 -0.22 0.00 0.16
97 10.3381 0.00 0.25 0.00 0.12
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.
21CO10 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.600 19.600 19.600 ecceobj 0.601 0.601 0.601 incobj 14.176 14.176 14.176 qmin 7.604 7.646 7.629 qmax 31.383 34.041 31.383 amean 17.154 18.370 17.797 amin 15.604 16.883 16.575 amax 19.600 20.926 19.600 emean 0.548 0.576 0.565 emin 0.501 0.545 0.536 emax 0.601 0.627 0.601 imean 16.125 16.507 15.837 imin 15.532 15.532 15.471 imax 17.480 17.336 16.303 excite_mean 0.615 0.642 0.627 fracstop 0.002 0.003 0.002 cjmean 2.970 2.867 2.916 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 207.4 210.9 207.3 kozaiamp 29.0 29.2 26.1