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: 24TF3 # Created Sun Nov 24 02:11:17 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 62 observations of 62 # Arc: 5.90y # First observation: 2018/11/15 # Last observation: 2024/10/07 # Chi-squared of fit: 30.14 DOF: 118 RMS: 0.12 # Min/Max residuals: -0.34 0.38 # Exact a, adot, b, bdot, g, gdot: -1.315556E-07 -4.898965E-04 2.113239E-05 7.336460E-02 5.264260E-02 -5.823932E-02 # Covariance matrix: 2.1477E-13 -2.3481E-14 1.6198E-14 -9.6104E-15 -1.4425E-13 -1.4282E-14 -2.3481E-14 4.7162E-15 -6.0295E-15 3.1785E-15 5.1209E-15 3.1708E-15 1.6198E-14 -6.0295E-15 3.1107E-13 -1.3218E-13 -1.8718E-14 -1.0677E-13 -9.6104E-15 3.1785E-15 -1.3218E-13 6.3296E-14 1.1154E-14 5.5678E-14 -1.4425E-13 5.1209E-15 -1.8718E-14 1.1154E-14 1.7249E-13 1.6760E-14 -1.4282E-14 3.1708E-15 -1.0677E-13 5.5678E-14 1.6760E-14 5.2884E-14 # lat0 lon0 xBary yBary zBary JD0 -10.994350 9.568882 -0.679325 -0.138482 -0.713450 2458437.554988 # Heliocentric elements and errors Epoch: 2458438.5000 = 2018/11/16 Mean Anomaly: 347.86093 +/- 0.002 Argument of Peri: 80.76122 +/- 0.002 Long of Asc Node: 11.68877 +/- 0.000 Inclination: 89.28730 +/- 0.000 Eccentricity: 0.76617107 +/- 0.0000 Semi-Major Axis: 46.89185415 +/- 0.0045 Time of Perihelion: 2462393.3275 +/- 16.3 Perihelion: 10.96467197 +/- 0.0013 Aphelion: 82.81903633 +/- 0.0080 Period (y) 321.1104 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.99211535 +/- 0.0001 Ecliptic Y 3.88318096 +/- 0.0000 Ecliptic Z -3.62243610 +/- 0.0000 Ecliptic XDOT -0.00220251 +/- 0.0000 Ecliptic YDOT -0.00040075 +/- 0.0000 Ecliptic ZDOT 0.00432300 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 19.72091390 +/- 0.0001 Geocenter to KBO 18.99640045 +/- 0.0001 # Hcoef: 10.49
The following table shows the complete astrometric record for 24TF3. 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 (24TF3) followed by the observatory code and reference code for the source of the astrometry.
2018 11 15.054187 00 52 28.31 -06 19 08.6 24TF3 W84 C~8Hnj 2018 11 26.092271 00 50 44.50 -06 16 33.3 24TF3 W84 C~8Hnj 2020 09 16.408258 00 50 32.510 +02 50 14.54 22.8G 24TF3 F51 C~8Hnj 2020 09 16.426072 00 50 32.265 +02 50 14.09 22.6G 24TF3 F51 C~8Hnj 2020 09 16.443901 00 50 32.022 +02 50 13.54 22.4G 24TF3 F51 C~8Hnj 2020 09 16.461625 00 50 31.774 +02 50 12.96 23.1G 24TF3 F51 C~8Hnj 2020 09 17.530262 00 50 17.252 +02 49 39.05 22.5G 24TF3 F51 C~8Hnj 2020 09 17.549892 00 50 16.965 +02 49 38.52 22.5G 24TF3 F51 C~8Hnj 2020 09 22.489849 00 49 08.768 +02 46 58.16 23.2G 24TF3 F51 C~8Hnj 2020 09 22.500075 00 49 08.630 +02 46 57.71 22.9G 24TF3 F51 C~8Hnj 2020 09 22.510207 00 49 08.492 +02 46 57.06 23.2G 24TF3 F51 C~8Hnj 2020 09 22.520269 00 49 08.356 +02 46 56.81 22.6G 24TF3 F51 C~8Hnj 2020 10 15.343173 00 43 41.730 +02 34 16.93 22.9G 24TF3 F51 C~8Hnj 2020 10 15.354248 00 43 41.577 +02 34 16.40 22.2G 24TF3 F51 C~8Hnj 2020 10 15.365348 00 43 41.409 +02 34 16.39 23.2G 24TF3 F51 C~8Hnj 2020 10 15.376533 00 43 41.250 +02 34 15.67 23.0G 24TF3 F51 C~8Hnj 2021 08 12.542368 00 49 29.711 +08 12 43.64 22.7G 24TF3 F51 C~8Hnj 2021 08 12.554249 00 49 29.594 +08 12 43.85 22.1G 24TF3 F51 C~8Hnj 2021 08 12.566212 00 49 29.478 +08 12 43.59 22.5G 24TF3 F51 C~8Hnj 2021 08 12.578231 00 49 29.351 +08 12 43.78 22.6G 24TF3 F51 C~8Hnj 2021 10 02.312992 00 38 12.231 +08 00 58.65 22.5G 24TF3 F52 C~8Hnj 2021 10 02.324409 00 38 12.058 +08 00 58.21 22.1G 24TF3 F52 C~8Hnj 2021 10 02.335766 00 38 11.880 +08 00 57.59 22.4G 24TF3 F52 C~8Hnj 2021 10 02.347201 00 38 11.701 +08 00 57.46 22.3G 24TF3 F52 C~8Hnj 2021 10 04.368492 00 37 40.107 +07 59 50.33 22.7G 24TF3 F51 C~8Hnj 2021 10 04.381529 00 37 39.893 +07 59 49.87 22.6G 24TF3 F51 C~8Hnj 2021 10 04.394592 00 37 39.696 +07 59 49.47 22.7G 24TF3 F51 C~8Hnj 2021 10 04.407679 00 37 39.497 +07 59 49.06 22.4G 24TF3 F51 C~8Hnj 2022 08 31.404605 00 36 42.479 +14 13 50.86 22.3w 24TF3 F51 C~8Hnj 2022 08 31.416182 00 36 42.321 +14 13 50.90 22.2w 24TF3 F51 C~8Hnj 2022 08 31.427757 00 36 42.174 +14 13 50.95 22.5w 24TF3 F51 C~8Hnj 2022 08 31.439465 00 36 41.998 +14 13 50.85 22.5w 24TF3 F51 C~8Hnj 2022 09 22.377619 00 30 53.519 +14 10 56.66 22.5G 24TF3 F52 C~8Hnj 2022 09 22.388642 00 30 53.340 +14 10 56.39 22.3G 24TF3 F52 C~8Hnj 2022 09 22.399557 00 30 53.148 +14 10 56.33 22.5G 24TF3 F52 C~8Hnj 2022 09 22.410539 00 30 52.957 +14 10 55.95 22.4G 24TF3 F52 C~8Hnj 2022 10 16.288096 00 24 05.431 +13 57 52.42 22.3G 24TF3 F52 C~8Hnj 2022 10 16.298961 00 24 05.243 +13 57 52.07 22.0G 24TF3 F52 C~8Hnj 2022 10 16.309802 00 24 05.063 +13 57 51.50 22.2G 24TF3 F52 C~8Hnj 2022 10 16.320643 00 24 04.887 +13 57 51.12 22.1G 24TF3 F52 C~8Hnj 2023 10 12.288886 00 12 29.947 +20 58 40.33 21.8G 24TF3 F52 C~8Hnj 2023 10 12.301720 00 12 29.705 +20 58 39.80 21.9G 24TF3 F52 C~8Hnj 2023 10 12.314607 00 12 29.458 +20 58 39.35 21.5G 24TF3 F52 C~8Hnj 2023 10 12.327427 00 12 29.213 +20 58 38.73 21.8G 24TF3 F52 C~8Hnj 2023 10 16.271300 00 11 15.409 +20 55 31.35 21.5G 24TF3 F51 C~8Hnj 2023 10 16.282227 00 11 15.216 +20 55 30.68 21.7G 24TF3 F51 C~8Hnj 2023 10 16.414157 00 11 12.753 +20 55 24.34 22.0G 24TF3 F51 C~8Hnj 2024 09 26.338319 00 01 44.687 +29 05 06.82 22.3G 24TF3 F52 C~8Hnj 2024 09 26.350232 00 01 44.402 +29 05 06.65 22.1G 24TF3 F52 C~8Hnj 2024 09 26.362146 00 01 44.162 +29 05 06.48 22.6G 24TF3 F52 C~8Hnj 2024 09 26.374067 00 01 43.853 +29 05 06.38 22.2G 24TF3 F52 C~8Hnj 2024 10 03.294293 23 59 09.168 +29 01 32.17 21.6w 24TF3 F52 C~8Hnj 2024 10 03.305662 23 59 08.915 +29 01 31.63 21.7w 24TF3 F52 C~8Hnj 2024 10 03.316980 23 59 08.667 +29 01 31.22 21.9w 24TF3 F52 C~8Hnj 2024 10 03.328321 23 59 08.405 +29 01 30.75 21.9w 24TF3 F52 C~8Hnj 2024 10 04.369629 23 58 45.29 +29 00 48.8 21.0G 24TF3 F65 C~8Hnj 2024 10 04.372969 23 58 45.20 +29 00 48.7 21.1G 24TF3 F65 C~8Hnj 2024 10 04.376310 23 58 45.13 +29 00 48.7 21.1G 24TF3 F65 C~8Hnj 2024 10 04.379649 23 58 45.06 +29 00 48.4 21.2G 24TF3 F65 C~8Hnj 2024 10 07.293104 23 57 40.836 +28 58 38.34 22.0w 24TF3 F52 C~8Hnj 2024 10 07.320914 23 57 40.219 +28 58 37.12 21.9w 24TF3 F52 C~8Hnj 2024 10 07.334855 23 57 39.911 +28 58 36.34 21.8w 24TF3 F52 C~8Hnj
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 -0.08 0.00 0.17
2 0.0302 0.00 -0.02 0.00 -0.04
3 1.8381 0.00 0.01 0.00 -0.01
4 1.8381 0.00 -0.00 0.00 0.09
5 1.8382 0.00 0.02 0.00 0.10
6 1.8382 0.00 -0.05 0.00 0.08
7 1.8411 0.00 -0.10 0.00 -0.10
8 1.8412 0.00 -0.34 0.00 -0.00
9 1.8547 0.00 -0.05 0.00 0.18
10 1.8547 0.00 0.06 0.00 0.07
11 1.8548 0.00 0.14 0.00 -0.25
12 1.8548 0.00 0.24 0.00 -0.16
13 1.9173 0.00 -0.02 0.00 0.08
14 1.9173 0.00 0.08 0.00 -0.11
15 1.9173 0.00 -0.03 0.00 0.23
16 1.9174 0.00 0.01 0.00 -0.14
17 2.7419 0.00 0.03 0.00 0.07
18 2.7420 0.00 -0.01 0.00 0.13
19 2.7420 0.00 -0.01 0.00 -0.28
20 2.7420 0.00 -0.18 0.00 -0.25
21 2.8809 0.00 -0.16 0.00 0.06
22 2.8810 0.00 -0.05 0.00 -0.01
23 2.8810 0.00 -0.02 0.00 -0.26
24 2.8810 0.00 0.00 0.00 -0.01
25 2.8866 0.00 0.08 0.00 -0.07
26 2.8866 0.00 -0.04 0.00 -0.09
27 2.8866 0.00 0.12 0.00 -0.05
28 2.8867 0.00 0.24 0.00 -0.03
29 3.7929 0.00 -0.14 0.00 0.15
30 3.7929 0.00 0.04 0.00 0.10
31 3.7929 0.00 0.38 0.00 0.06
32 3.7930 0.00 0.32 0.00 -0.13
33 3.8530 0.00 -0.16 0.00 0.03
34 3.8531 0.00 -0.01 0.00 0.00
35 3.8531 0.00 -0.08 0.00 0.18
36 3.8531 0.00 -0.12 0.00 0.04
37 3.9185 0.00 -0.01 0.00 -0.01
38 3.9185 0.00 -0.08 0.00 0.08
39 3.9186 0.00 -0.03 0.00 -0.05
40 3.9186 0.00 0.08 0.00 0.01
41 4.9069 0.00 -0.14 0.00 -0.02
42 4.9069 0.00 -0.09 0.00 0.02
43 4.9069 0.00 -0.10 0.00 0.15
44 4.9070 0.00 -0.10 0.00 0.10
45 4.9178 0.00 -0.24 0.00 0.03
46 4.9178 0.00 -0.06 0.00 -0.11
47 4.9182 0.00 0.16 0.00 0.08
48 5.8653 0.00 0.05 0.00 -0.20
49 5.8653 0.00 -0.17 0.00 -0.12
50 5.8653 0.00 0.29 0.00 -0.03
51 5.8654 0.00 -0.28 0.00 0.13
52 5.8843 0.00 0.00 0.00 0.10
53 5.8843 0.00 0.04 0.00 -0.01
54 5.8844 0.00 0.14 0.00 0.01
55 5.8844 0.00 0.04 0.00 -0.02
56 5.8872 0.00 0.12 0.00 -0.06
57 5.8873 0.00 -0.11 0.00 -0.02
58 5.8873 0.00 -0.03 0.00 0.12
59 5.8873 0.00 0.04 0.00 -0.05
60 5.8952 0.00 -0.01 0.00 -0.07
61 5.8953 0.00 -0.01 0.00 0.01
62 5.8954 0.00 0.02 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.