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: 21PU23 # Created Sat May 10 01:11:29 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 80 observations of 80 # Arc: 17.24y # First observation: 2007/06/12 # Last observation: 2024/09/05 # Chi-squared of fit: 42.01 DOF: 154 RMS: 0.13 # Min/Max residuals: -0.33 0.49 # Exact a, adot, b, bdot, g, gdot: 2.640906E-05 1.285798E-01 1.075371E-05 5.539891E-02 7.790413E-02 5.139646E-03 # Covariance matrix: 1.9716E-01 -6.6791E-02 8.5283E-02 -2.9317E-02 1.2325E-05 5.0566E-03 -6.6791E-02 9.5973E-01 -2.8892E-02 4.2283E-01 -4.1752E-06 -9.1420E-02 8.5283E-02 -2.8892E-02 3.6891E-02 -1.2682E-02 5.3312E-06 2.1873E-03 -2.9317E-02 4.2283E-01 -1.2682E-02 1.8630E-01 -1.8327E-06 -4.0278E-02 1.2325E-05 -4.1752E-06 5.3312E-06 -1.8327E-06 7.7043E-10 3.1609E-07 5.0566E-03 -9.1420E-02 2.1873E-03 -4.0278E-02 3.1609E-07 8.7172E-03 # lat0 lon0 xBary yBary zBary JD0 -31.328562 -116.334886 -0.296853 -0.502242 -0.825279 2454263.633814 # Heliocentric elements and errors Epoch: 2454264.5000 = 2007/06/13 Mean Anomaly: 25.75702 +/- 0.000 Argument of Peri: 271.83475 +/- 0.001 Long of Asc Node: 292.82557 +/- 0.001 Inclination: 37.06762 +/- 0.000 Eccentricity: 0.14207331 +/- 0.0028 Semi-Major Axis: 15.60194358 +/- 0.0000 Time of Perihelion: 2452654.0040 +/- 0.0 Perihelion: 13.38532383 +/- 0.0444 Aphelion: 17.81856333 +/- 0.0444 Period (y) 61.6277 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -5.02784026 +/- 0.0001 Ecliptic Y -10.82916656 +/- 0.0001 Ecliptic Z -6.67404017 +/- 0.0000 Ecliptic XDOT 0.00353842 +/- 0.0000 Ecliptic YDOT -0.00305270 +/- 0.0000 Ecliptic ZDOT 0.00156906 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 13.67816268 +/- 0.0001 Geocenter to KBO 12.83631946 +/- 0.0001 # Hcoef: 9.84
The following table shows the complete astrometric record for 21PU23. 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 (21PU23) followed by the observatory code and reference code for the source of the astrometry.
2007 06 12.133060 15 30 22.99 -51 24 12.3 21PU23 807 C~8rAH 2019 06 03.527865 20 53 37.785 -02 38 10.99 22.1G 21PU23 F51 C~4ypQ 2019 06 03.540637 20 53 37.701 -02 38 10.13 22.3G 21PU23 F51 C~4ypQ 2019 06 03.553432 20 53 37.640 -02 38 09.39 22.4G 21PU23 F51 C~4ypQ 2019 06 03.566245 20 53 37.592 -02 38 08.85 22.0G 21PU23 F51 C~4ypQ 2019 08 04.395872 20 43 21.045 -02 17 15.59 22.1G 21PU23 F51 C~4ypQ 2019 08 04.407050 20 43 20.911 -02 17 15.68 21.9G 21PU23 F51 C~4ypQ 2019 08 04.418189 20 43 20.772 -02 17 15.84 21.7G 21PU23 F51 C~4ypQ 2019 08 04.429350 20 43 20.625 -02 17 16.09 21.6G 21PU23 F51 C~4ypQ 2019 09 24.232878 20 34 48.427 -02 46 17.20 22.2G 21PU23 F51 C~4ypQ 2019 09 24.244184 20 34 48.352 -02 46 17.64 22.5G 21PU23 F51 C~4ypQ 2019 09 24.255530 20 34 48.285 -02 46 18.16 22.1G 21PU23 F51 C~4ypQ 2019 09 24.266852 20 34 48.191 -02 46 18.60 21.7G 21PU23 F51 C~4ypQ 2020 06 27.458183 21 04 48.970 +01 58 32.27 22.4G 21PU23 F51 C~4ypQ 2020 06 27.470353 21 04 48.861 +01 58 32.56 22.0G 21PU23 F51 C~4ypQ 2020 06 27.482481 21 04 48.734 +01 58 33.37 21.8G 21PU23 F51 C~4ypQ 2020 06 27.494563 21 04 48.630 +01 58 33.71 21.8G 21PU23 F51 C~4ypQ 2020 08 13.315826 20 55 58.780 +02 00 35.96 22.0G 21PU23 F51 C~4ypQ 2020 08 13.330102 20 55 58.609 +02 00 35.48 21.9G 21PU23 F51 C~4ypQ 2020 08 13.344429 20 55 58.435 +02 00 35.14 22.0G 21PU23 F51 C~4ypQ 2020 08 13.358765 20 55 58.267 +02 00 34.67 22.0G 21PU23 F51 C~4ypQ 2020 08 19.319884 20 54 47.413 +01 57 22.77 21.6G 21PU23 F51 C~4ypQ 2020 08 19.332071 20 54 47.274 +01 57 22.18 22.2G 21PU23 F51 C~4ypQ 2020 08 19.344280 20 54 47.127 +01 57 21.86 22.3G 21PU23 F51 C~4ypQ 2020 08 19.356549 20 54 46.979 +01 57 21.55 22.2G 21PU23 F51 C~4ypQ 2020 09 07.388302 20 51 22.419 +01 43 46.48 21.6G 21PU23 F51 C~4ypQ 2020 09 07.395515 20 51 22.357 +01 43 45.71 22.3G 21PU23 F51 C~4ypQ 2020 09 07.403642 20 51 22.290 +01 43 45.09 22.3G 21PU23 F51 C~4ypQ 2021 06 13.516744 21 20 26.214 +05 54 38.94 22.4w 21PU23 F51 C~4ypQ 2021 06 13.540094 21 20 26.068 +05 54 40.56 22.6w 21PU23 F51 C~4ypQ 2021 06 13.551788 21 20 25.988 +05 54 41.66 22.7w 21PU23 F51 C~4ypQ 2021 07 07.421800 21 17 18.962 +06 15 11.32 22.5w 21PU23 F51 C~4ypQ 2021 07 07.433479 21 17 18.856 +06 15 11.59 22.4w 21PU23 F51 C~4ypQ 2021 07 07.445172 21 17 18.716 +06 15 12.00 22.4w 21PU23 F51 C~4ypQ 2021 08 07.322838 21 11 30.626 +06 17 53.87 22.8w 21PU23 F51 C~4ypQ 2021 08 07.335818 21 11 30.471 +06 17 53.65 22.4w 21PU23 F51 C~4ypQ 2021 08 07.361545 21 11 30.156 +06 17 53.15 22.1w 21PU23 F51 C~4ypQ 2021 08 09.324064 21 11 06.443 +06 17 11.29 21.8G 21PU23 F51 C~4ypQ 2021 08 09.333206 21 11 06.330 +06 17 11.09 21.8G 21PU23 F51 C~4ypQ 2021 08 09.342333 21 11 06.218 +06 17 10.89 21.9G 21PU23 F51 C~4ypQ 2021 08 09.351550 21 11 06.106 +06 17 10.69 21.7G 21PU23 F51 C~4ypQ 2021 08 10.336235 21 10 54.221 +06 16 47.51 22.0G 21PU23 F51 C~4ypQ 2021 08 10.351660 21 10 54.029 +06 16 47.01 22.0G 21PU23 F51 C~4ypQ 2021 08 10.367154 21 10 53.837 +06 16 46.73 22.3G 21PU23 F51 C~4ypQ 2021 08 10.382677 21 10 53.645 +06 16 46.34 21.9G 21PU23 F51 C~4ypQ 2021 08 13.538380 21 10 15.600 +06 15 22.80 22.1G 21PU23 F51 C~4ypQ 2021 08 13.539205 21 10 15.590 +06 15 22.67 22.2G 21PU23 F51 C~4ypQ 2021 08 13.549137 21 10 15.461 +06 15 22.45 22.1G 21PU23 F51 C~4ypQ 2021 08 13.549966 21 10 15.438 +06 15 22.31 22.1G 21PU23 F51 C~4ypQ 2021 08 14.489642 21 10 04.187 +06 14 54.82 22.1G 21PU23 F51 C~4ypQ 2021 08 14.505920 21 10 03.986 +06 14 54.37 21.9G 21PU23 F51 C~4ypQ 2021 08 14.522152 21 10 03.777 +06 14 53.86 22.0G 21PU23 F51 C~4ypQ 2021 08 14.538280 21 10 03.598 +06 14 53.32 21.9G 21PU23 F51 C~4ypQ 2021 08 17.369721 21 09 29.831 +06 13 22.87 21PU23 568 C~4ypQ 2021 09 10.301484 21 05 08.172 +05 54 44.57 21.9w 21PU23 F51 C~52hb 2021 09 10.313834 21 05 08.044 +05 54 43.90 21.9w 21PU23 F51 C~52hb 2021 09 10.326069 21 05 07.934 +05 54 43.15 21.8w 21PU23 F51 C~52hb 2021 09 13.292847 21 04 40.227 +05 51 51.40 21.9w 21PU23 F52 C~52hb 2021 09 13.303738 21 04 40.122 +05 51 50.64 21.8w 21PU23 F52 C~52hb 2021 09 13.314707 21 04 40.019 +05 51 50.00 21.9w 21PU23 F52 C~52hb 2022 09 26.254885 21 16 51.064 +09 44 11.00 21.9w 21PU23 F51 C~5rCd 2022 09 26.266697 21 16 50.958 +09 44 09.64 22.1w 21PU23 F51 C~5rCd 2022 09 26.278756 21 16 50.862 +09 44 09.21 22.0w 21PU23 F51 C~5rCd 2023 07 16.436750 21 43 49.373 +14 20 06.71 21.9w 21PU23 F52 C~6wsl 2023 07 16.447632 21 43 49.278 +14 20 07.17 22.0w 21PU23 F52 C~6wsl 2023 07 16.469361 21 43 49.061 +14 20 07.68 22.0w 21PU23 F52 C~6wsl 2024 07 02.481582 21 59 46.325 +17 55 22.02 22.2w 21PU23 F52 C~872j 2024 07 02.494200 21 59 46.212 +17 55 22.84 22.2w 21PU23 F52 C~872j 2024 07 02.506781 21 59 46.151 +17 55 23.67 22.1w 21PU23 F52 C~872j 2024 07 29.394031 21 55 36.250 +18 15 04.23 21.8w 21PU23 F52 C~8AkE 2024 07 29.406486 21 55 36.114 +18 15 04.64 22.0w 21PU23 F52 C~8AkE 2024 07 29.418942 21 55 35.980 +18 15 04.81 22.0w 21PU23 F52 C~8AkE 2024 07 29.431402 21 55 35.824 +18 15 04.81 21.8w 21PU23 F52 C~8AkE 2024 08 05.371292 21 54 17.374 +18 16 00.11 22.2w 21PU23 F52 C~8AkE 2024 08 05.396532 21 54 17.073 +18 16 00.15 22.0w 21PU23 F52 C~8AkE 2024 08 05.409172 21 54 16.914 +18 16 00.13 21.7w 21PU23 F52 C~8AkE 2024 09 05.262804 21 48 12.851 +18 00 27.69 22.3w 21PU23 F52 C~8Drj 2024 09 05.274684 21 48 12.698 +18 00 26.52 22.0w 21PU23 F52 C~8Drj 2024 09 05.286565 21 48 12.571 +18 00 26.07 22.1w 21PU23 F52 C~8Drj 2024 09 05.298461 21 48 12.429 +18 00 24.97 21.9w 21PU23 F52 C~8Drj
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 -0.05 0.00 0.12
2 11.9764 0.00 0.05 0.00 0.13
3 11.9765 0.00 -0.20 0.00 0.21
4 11.9765 0.00 -0.10 0.00 0.17
5 11.9765 0.00 0.20 0.00 -0.07
6 12.1458 0.00 -0.11 0.00 -0.17
7 12.1459 0.00 0.00 0.00 -0.06
8 12.1459 0.00 0.03 0.00 -0.02
9 12.1459 0.00 -0.06 0.00 -0.06
10 12.2850 0.00 0.26 0.00 -0.01
11 12.2850 0.00 0.20 0.00 0.00
12 12.2851 0.00 0.25 0.00 -0.06
13 12.2851 0.00 -0.10 0.00 -0.05
14 13.0440 0.00 0.04 0.00 -0.05
15 13.0440 0.00 0.08 0.00 -0.22
16 13.0441 0.00 -0.16 0.00 0.13
17 13.0441 0.00 -0.05 0.00 0.01
18 13.1723 0.00 -0.11 0.00 0.00
19 13.1723 0.00 -0.06 0.00 -0.06
20 13.1724 0.00 -0.03 0.00 0.01
21 13.1724 0.00 0.08 0.00 -0.04
22 13.1887 0.00 -0.05 0.00 -0.03
23 13.1888 0.00 0.05 0.00 -0.19
24 13.1888 0.00 0.02 0.00 -0.08
25 13.1888 0.00 -0.01 0.00 0.05
26 13.2409 0.00 -0.32 0.00 0.38
27 13.2410 0.00 -0.19 0.00 -0.04
28 13.2410 0.00 -0.01 0.00 -0.26
29 14.0052 0.00 0.09 0.00 -0.15
30 14.0052 0.00 -0.06 0.00 -0.19
31 14.0053 0.00 -0.24 0.00 0.09
32 14.0706 0.00 -0.10 0.00 0.12
33 14.0706 0.00 0.06 0.00 0.02
34 14.0707 0.00 -0.29 0.00 0.06
35 14.1552 0.00 0.02 0.00 -0.02
36 14.1552 0.00 0.08 0.00 0.01
37 14.1553 0.00 0.09 0.00 0.01
38 14.1607 0.00 -0.00 0.00 -0.05
39 14.1607 0.00 -0.01 0.00 -0.04
40 14.1607 0.00 -0.02 0.00 -0.03
41 14.1608 0.00 0.00 0.00 -0.03
42 14.1635 0.00 0.08 0.00 -0.06
43 14.1635 0.00 0.04 0.00 -0.19
44 14.1635 0.00 0.01 0.00 -0.09
45 14.1636 0.00 -0.01 0.00 -0.11
46 14.1722 0.00 0.14 0.00 0.07
47 14.1722 0.00 0.15 0.00 -0.04
48 14.1723 0.00 0.02 0.00 0.03
49 14.1723 0.00 -0.17 0.00 -0.08
50 14.1748 0.00 0.08 0.00 0.03
51 14.1749 0.00 0.04 0.00 0.07
52 14.1749 0.00 -0.14 0.00 0.05
53 14.1750 0.00 0.12 0.00 -0.00
54 14.1827 0.00 0.07 0.00 0.03
55 14.2482 0.00 0.05 0.00 0.11
56 14.2483 0.00 -0.06 0.00 0.15
57 14.2483 0.00 0.09 0.00 0.09
58 14.2564 0.00 0.03 0.00 0.15
59 14.2565 0.00 -0.02 0.00 0.03
60 14.2565 0.00 -0.03 0.00 0.03
61 15.2912 0.00 0.13 0.00 0.19
62 15.2913 0.00 -0.10 0.00 -0.33
63 15.2913 0.00 -0.15 0.00 0.10
64 16.0939 0.00 -0.29 0.00 0.02
65 16.0939 0.00 -0.07 0.00 0.10
66 16.0940 0.00 -0.05 0.00 -0.15
67 17.0578 0.00 0.14 0.00 0.01
68 17.0578 0.00 -0.16 0.00 -0.08
69 17.0578 0.00 0.31 0.00 -0.15
70 17.1314 0.00 -0.02 0.00 -0.06
71 17.1315 0.00 0.03 0.00 0.15
72 17.1315 0.00 0.11 0.00 0.12
73 17.1315 0.00 -0.13 0.00 -0.08
74 17.1505 0.00 0.18 0.00 -0.10
75 17.1506 0.00 0.12 0.00 -0.09
76 17.1507 0.00 -0.04 0.00 -0.12
77 17.2351 0.00 0.03 0.00 0.49
78 17.2352 0.00 -0.22 0.00 -0.00
79 17.2352 0.00 -0.09 0.00 0.23
80 17.2352 0.00 -0.17 0.00 -0.19
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.
21PU23 quality flag:3 Type: CENTAURS CENTAURS CENTAURS axisobj 15.466 15.466 15.466 ecceobj 0.136 0.136 0.136 incobj 37.105 37.105 37.105 qmin 13.327 13.183 12.800 qmax 17.800 17.892 18.014 amean 15.561 15.516 15.488 amin 15.418 15.363 15.249 amax 15.686 15.650 15.660 emean 0.087 0.100 0.098 emin 0.048 0.059 0.048 emax 0.140 0.149 0.166 imean 38.620 38.520 38.556 imin 37.878 37.733 37.748 imax 39.314 39.235 39.326 excite_mean 0.630 0.631 0.631 fracstop 1.000 1.000 1.000 cjmean 3.054 3.058 3.060 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 181.3 179.8 179.9 kozaiamp 179.9 179.9 179.9