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: 20OF139
# Created Sun Nov 24 02:11:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 64 observations of 64
# Arc: 13.44y
# First observation: 2011/05/03
# Last observation: 2024/10/10
# Chi-squared of fit: 30.78 DOF: 122 RMS: 0.12
# Min/Max residuals: -0.28 0.41
# Exact a, adot, b, bdot, g, gdot:
2.476160E-05 1.031466E-01 1.429869E-05 5.708961E-02 6.602769E-02 -2.235021E-02
# Covariance matrix:
2.1833E-08 1.5078E-09 1.5456E-08 -3.2936E-09 5.8703E-08 1.7590E-10
1.5078E-09 3.3368E-07 1.1226E-09 1.8349E-07 4.0670E-09 -2.3399E-07
1.5456E-08 1.1226E-09 1.0944E-08 -2.3015E-09 4.1560E-08 8.5691E-11
-3.2936E-09 1.8349E-07 -2.3015E-09 1.0391E-07 -8.8496E-09 -1.2957E-07
5.8703E-08 4.0670E-09 4.1560E-08 -8.8496E-09 1.5785E-07 4.6428E-10
1.7590E-10 -2.3399E-07 8.5691E-11 -1.2957E-07 4.6428E-10 1.6499E-07
# lat0 lon0 xBary yBary zBary JD0
8.519745 -98.048318 0.645483 0.115254 -0.769556 2455684.857151
# Heliocentric elements and errors
Epoch: 2455684.5000 = 2011/05/03
Mean Anomaly: 339.54704 +/- 0.000
Argument of Peri: 64.00405 +/- 0.000
Long of Asc Node: 245.63000 +/- 0.000
Inclination: 30.48067 +/- 0.000
Eccentricity: 0.39414925 +/- 0.0000
Semi-Major Axis: 23.84197639 +/- 0.0000
Time of Perihelion: 2458100.3254 +/- 0.0
Perihelion: 14.44467934 +/- 0.0000
Aphelion: 33.23927343 +/- 0.0000
Period (y) 116.4184 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -2.84073419 +/- 0.0000
Ecliptic Y -15.51059747 +/- 0.0000
Ecliptic Z 2.24398731 +/- 0.0000
Ecliptic XDOT 0.00441034 +/- 0.0000
Ecliptic YDOT 0.00066187 +/- 0.0000
Ecliptic ZDOT 0.00220384 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 15.92755408 +/- 0.0000
Geocenter to KBO 15.14527354 +/- 0.0000
# Hcoef: 10.25
The following table shows the complete astrometric record for 20OF139. 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 (20OF139) followed by the observatory code and reference code for the source of the astrometry.
2011 05 03.356385 17 27 04.87 -14 41 23.7 20OF139 807 C~8HXw 2011 06 28.136119 17 16 57.44 -13 54 23.3 20OF139 807 C~8HXw 2017 06 01.425945 20 04 53.30 +07 25 11.1 20OF139 W84 C~8HXw 2019 06 01.554872 21 02 30.589 +14 35 35.48 22.2G 20OF139 F51 C~8HXw 2019 06 01.566235 21 02 30.561 +14 35 36.84 22.6G 20OF139 F51 C~8HXw 2019 06 01.577605 21 02 30.530 +14 35 38.17 22.3G 20OF139 F51 C~8HXw 2019 06 01.588924 21 02 30.495 +14 35 39.65 22.8G 20OF139 F51 C~8HXw 2019 06 10.533755 21 01 57.656 +14 52 25.45 22.5G 20OF139 F52 C~8HXw 2019 06 10.544764 21 01 57.611 +14 52 26.99 22.1G 20OF139 F52 C~8HXw 2019 06 10.555730 21 01 57.556 +14 52 27.75 21.9G 20OF139 F52 C~8HXw 2020 07 17.411942 21 26 55.440 +18 50 36.45 21.9G 20OF139 F52 C~8HXw 2020 07 17.425120 21 26 55.305 +18 50 36.98 21.9G 20OF139 F52 C~8HXw 2020 07 17.438278 21 26 55.169 +18 50 37.02 21.8G 20OF139 F52 C~8HXw 2020 07 17.451439 21 26 55.016 +18 50 37.75 21.5G 20OF139 F52 C~8HXw 2020 07 25.419519 21 25 29.540 +18 53 01.94 21.6G 20OF139 F51 C~8HXw 2020 07 25.431865 21 25 29.394 +18 53 02.09 22.1G 20OF139 F51 C~8HXw 2020 08 13.351953 21 21 48.688 +18 47 44.96 21.9G 20OF139 F52 C~8HXw 2020 08 13.364276 21 21 48.545 +18 47 44.60 21.6G 20OF139 F52 C~8HXw 2020 08 13.376640 21 21 48.406 +18 47 44.24 22.2G 20OF139 F52 C~8HXw 2020 08 13.389183 21 21 48.247 +18 47 43.73 22.0G 20OF139 F52 C~8HXw 2020 09 07.295506 21 17 10.705 +18 19 33.52 21.8G 20OF139 F52 C~8HXw 2020 09 07.308111 21 17 10.582 +18 19 32.34 22.3G 20OF139 F52 C~8HXw 2021 09 13.242211 21 46 41.891 +21 15 14.79 21.5G 20OF139 F51 C~8HXw 2021 09 13.254602 21 46 41.773 +21 15 13.72 21.8G 20OF139 F51 C~8HXw 2021 09 13.267003 21 46 41.640 +21 15 12.57 21.9G 20OF139 F51 C~8HXw 2021 09 13.279429 21 46 41.514 +21 15 11.49 22.1G 20OF139 F51 C~8HXw 2021 10 02.245798 21 44 01.51 +20 40 34.5 22.6G 20OF139 V00 C~8MkO 2021 10 02.251199 21 44 01.46 +20 40 33.8 21.9G 20OF139 V00 C~8MkO 2021 10 02.256642 21 44 01.42 +20 40 32.8 22.3G 20OF139 V00 C~8MkO 2021 10 02.262049 21 44 01.37 +20 40 32.1 22.7G 20OF139 V00 C~8MkO 2022 08 31.341639 22 19 40.517 +24 11 52.71 22.0G 20OF139 F51 C~8HXw 2022 08 31.355708 22 19 40.357 +24 11 51.87 22.2G 20OF139 F51 C~8HXw 2022 08 31.369678 22 19 40.191 +24 11 51.00 22.1G 20OF139 F51 C~8HXw 2022 08 31.383757 22 19 40.025 +24 11 50.11 22.2G 20OF139 F51 C~8HXw 2022 09 03.454979 22 19 04.65 +24 08 30.1 20OF139 T14 C~8HXw 2022 09 03.456922 22 19 04.63 +24 08 30.1 20OF139 T14 C~8HXw 2022 09 03.460864 22 19 04.58 +24 08 29.6 20OF139 T14 C~8HXw 2022 09 03.464758 22 19 04.54 +24 08 29.4 20OF139 T14 C~8HXw 2022 09 17.335481 22 16 32.14 +23 49 18.2 20OF139 T14 C~8HXx 2023 07 01.567564 22 58 04.332 +25 55 52.87 22.7G 20OF139 F51 C~8HXx 2023 07 01.580198 22 58 04.292 +25 55 54.42 22.0G 20OF139 F51 C~8HXx 2023 07 01.592860 22 58 04.266 +25 55 55.44 22.0G 20OF139 F51 C~8HXx 2023 09 08.326066 22 48 32.856 +26 14 39.44 21.9G 20OF139 F52 C~8HXx 2023 09 08.337496 22 48 32.716 +26 14 38.77 22.2G 20OF139 F52 C~8HXx 2023 09 08.348937 22 48 32.595 +26 14 37.93 22.1G 20OF139 F52 C~8HXx 2023 10 06.244475 22 43 42.737 +25 30 39.21 22.0G 20OF139 F52 C~8HXx 2023 10 06.256735 22 43 42.619 +25 30 37.53 21.9G 20OF139 F52 C~8HXx 2023 10 06.268999 22 43 42.512 +25 30 36.11 22.1G 20OF139 F52 C~8HXx 2023 10 06.281293 22 43 42.403 +25 30 34.66 22.1G 20OF139 F52 C~8HXx 2024 08 01.485673 23 24 23.399 +28 05 13.64 22.2G 20OF139 F52 C~8HXx 2024 08 01.496797 23 24 23.311 +28 05 14.01 22.9G 20OF139 F52 C~8HXx 2024 09 23.513977 23 15 20.977 +27 38 53.89 21.4G 20OF139 F51 C~8HXx 2024 09 23.514742 23 15 20.956 +27 38 54.07 22.7G 20OF139 F51 C~8HXx 2024 09 23.525592 23 15 20.875 +27 38 53.21 22.7G 20OF139 F51 C~8HXx 2024 10 03.300950 23 13 38.260 +27 22 58.16 22.7w 20OF139 F52 C~8HXx 2024 10 03.312285 23 13 38.147 +27 22 56.85 22.7w 20OF139 F52 C~8HXx 2024 10 03.323656 23 13 38.040 +27 22 55.86 22.6w 20OF139 F52 C~8HXx 2024 10 03.334979 23 13 37.909 +27 22 54.54 22.6w 20OF139 F52 C~8HXx 2024 10 06.04098 23 13 11.28 +27 18 03.4 19.7G 20OF139 Y65 C~8HXx 2024 10 06.06113 23 13 11.08 +27 18 01.2 19.7G 20OF139 Y65 C~8HXx 2024 10 06.08076 23 13 10.88 +27 17 59.0 19.8G 20OF139 Y65 C~8HXx 2024 10 10.280615 23 12 31.608 +27 10 08.02 22.0w 20OF139 F52 C~8HXx 2024 10 10.293867 23 12 31.482 +27 10 06.73 22.0w 20OF139 F52 C~8HXx 2024 10 10.320410 23 12 31.257 +27 10 03.93 22.0w 20OF139 F52 C~8HXx
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 -0.13
2 0.1527 0.00 0.07 0.00 0.01
3 6.0810 0.00 0.16 0.00 -0.03
4 8.0799 0.00 -0.09 0.00 0.01
5 8.0800 0.00 -0.03 0.00 0.00
6 8.0800 0.00 -0.02 0.00 -0.04
7 8.0800 0.00 -0.06 0.00 0.07
8 8.1045 0.00 -0.11 0.00 0.02
9 8.1046 0.00 0.03 0.00 0.41
10 8.1046 0.00 0.03 0.00 0.02
11 9.2075 0.00 -0.06 0.00 0.01
12 9.2076 0.00 -0.02 0.00 0.15
13 9.2076 0.00 0.01 0.00 -0.20
14 9.2077 0.00 -0.21 0.00 0.15
15 9.2295 0.00 0.13 0.00 -0.04
16 9.2295 0.00 0.05 0.00 0.01
17 9.2813 0.00 -0.19 0.00 -0.16
18 9.2813 0.00 -0.10 0.00 -0.03
19 9.2814 0.00 0.07 0.00 0.11
20 9.2814 0.00 -0.04 0.00 0.10
21 9.3496 0.00 -0.09 0.00 -0.06
22 9.3496 0.00 -0.02 0.00 -0.09
23 10.3652 0.00 -0.14 0.00 -0.28
24 10.3652 0.00 -0.02 0.00 -0.16
25 10.3653 0.00 -0.11 0.00 -0.12
26 10.3653 0.00 -0.10 0.00 -0.01
27 10.4172 0.00 0.37 0.00 0.21
28 10.4172 0.00 0.17 0.00 0.16
29 10.4172 0.00 0.13 0.00 -0.19
30 10.4173 0.00 -0.07 0.00 -0.24
31 11.3292 0.00 -0.12 0.00 0.02
32 11.3292 0.00 -0.03 0.00 0.04
33 11.3293 0.00 -0.04 0.00 0.02
34 11.3293 0.00 -0.04 0.00 -0.01
35 11.3377 0.00 -0.05 0.00 0.04
36 11.3377 0.00 -0.01 0.00 0.18
37 11.3377 0.00 -0.07 0.00 -0.05
38 11.3377 0.00 0.02 0.00 0.02
39 11.3757 0.00 0.01 0.00 0.10
40 12.1621 0.00 0.21 0.00 -0.25
41 12.1621 0.00 0.05 0.00 0.09
42 12.1622 0.00 0.10 0.00 -0.10
43 12.3504 0.00 -0.05 0.00 -0.01
44 12.3504 0.00 -0.15 0.00 0.08
45 12.3504 0.00 0.03 0.00 0.01
46 12.4268 0.00 0.14 0.00 0.25
47 12.4268 0.00 0.01 0.00 -0.01
48 12.4269 0.00 0.04 0.00 -0.01
49 12.4269 0.00 0.06 0.00 -0.04
50 13.2488 0.00 -0.02 0.00 -0.09
51 13.2488 0.00 -0.09 0.00 -0.11
52 13.3940 0.00 -0.06 0.00 -0.22
53 13.3940 0.00 -0.25 0.00 0.02
54 13.3940 0.00 0.34 0.00 0.14
55 13.4208 0.00 -0.04 0.00 0.01
56 13.4208 0.00 0.01 0.00 -0.11
57 13.4209 0.00 0.15 0.00 0.10
58 13.4209 0.00 -0.07 0.00 -0.03
59 13.4283 0.00 -0.03 0.00 -0.07
60 13.4283 0.00 -0.05 0.00 -0.06
61 13.4284 0.00 -0.15 0.00 -0.09
62 13.4399 0.00 -0.08 0.00 -0.17
63 13.4399 0.00 -0.12 0.00 0.05
64 13.4400 0.00 0.21 0.00 0.28
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.