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: 20TZ114 # Created Sun Oct 19 01:12:10 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 45 observations of 48 # Arc: 19.98y # First observation: 2005/09/25 # Last observation: 2025/09/17 # Chi-squared of fit: 620.20 DOF: 84 RMS: 0.66 # Min/Max residuals: -2.04 1.83 # Exact a, adot, b, bdot, g, gdot: 1.592624E-05 2.551913E-02 3.629967E-06 5.141478E-03 2.603526E-02 1.216361E-03 # Covariance matrix: 4.8506E-13 -5.5055E-14 1.4734E-14 -6.4737E-15 -4.0374E-14 -5.6957E-14 -5.5055E-14 1.5201E-14 -6.0656E-15 2.7928E-15 2.2722E-14 2.4439E-14 1.4734E-14 -6.0656E-15 4.1149E-13 -2.4240E-14 -6.0971E-15 -1.0815E-14 -6.4737E-15 2.7928E-15 -2.4240E-14 1.9560E-15 4.6281E-15 4.9415E-15 -4.0374E-14 2.2722E-14 -6.0971E-15 4.6281E-15 1.0976E-13 3.8699E-14 -5.6957E-14 2.4439E-14 -1.0815E-14 4.9415E-15 3.8699E-14 4.3280E-14 # lat0 lon0 xBary yBary zBary JD0 11.765153 -7.368422 -0.167703 0.202555 -0.972083 2453638.691214 # Heliocentric elements and errors Epoch: 2453638.5000 = 2005/09/25 Mean Anomaly: 92.74321 +/- 0.043 Argument of Peri: 307.25167 +/- 0.037 Long of Asc Node: 308.20112 +/- 0.000 Inclination: 16.09982 +/- 0.000 Eccentricity: 0.05115842 +/- 0.0000 Semi-Major Axis: 39.18091717 +/- 0.0018 Time of Perihelion: 2430560.9370 +/- 10.7 Perihelion: 37.17648324 +/- 0.0017 Aphelion: 41.18535111 +/- 0.0019 Period (y) 245.2563 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.29422040 +/- 0.0005 Ecliptic Y -4.78448057 +/- 0.0001 Ecliptic Z 7.83187361 +/- 0.0001 Ecliptic XDOT 0.00036101 +/- 0.0000 Ecliptic YDOT 0.00265289 +/- 0.0000 Ecliptic ZDOT 0.00055541 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.37860320 +/- 0.0005 Geocenter to KBO 38.40945845 +/- 0.0005 # Hcoef: 5.44
The following table shows the complete astrometric record for 20TZ114. 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 (20TZ114) followed by the observatory code and reference code for the source of the astrometry.
2005 09 25.190471 23 14 16.76 +07 52 55.0 21.8r 20TZ114 645 C~93U1 2005 09 25.191301 23 14 16.76 +07 52 55.0 21.3i 20TZ114 645 C~93U1 2005 09 25.193788 23 14 16.76 +07 52 55.0 22.6g 20TZ114 645 C~93U1 2017 07 22.36368 00 18 41.62 +17 43 33.1 20TZ114 W84 C~93U1 2017 07 22.36714 00 18 41.62 +17 43 33.3 21.5r 20TZ114 W84 C~93U1 2020 10 07.332167 00 29 17.235 +19 43 38.35 21.2G 20TZ114 G96 C~93U1 2020 10 07.337293 00 29 17.187 +19 43 36.74 21.5G 20TZ114 G96 C~93U1 2020 10 23.183861 00 28 00.852 +19 35 00.82 20.9G 20TZ114 G96 C~93U1 2020 10 23.195007 00 28 00.722 +19 34 59.40 20.7G 20TZ114 G96 C~93U1 2020 10 23.200583 00 28 00.672 +19 34 58.39 21.1G 20TZ114 G96 C~93U1 2022 01 06.074888 00 30 52.593 +19 41 21.85 21.4G 20TZ114 G96 C~93U1 2022 01 06.080612 00 30 52.722 +19 41 20.11 21.1G 20TZ114 G96 C~93U1 2022 09 25.323991 00 40 58.182 +21 15 07.92 20.8G 20TZ114 G96 C~93U1 2022 09 25.329128 00 40 58.105 +21 15 07.02 21.4G 20TZ114 G96 C~93U1 2022 09 25.334271 00 40 57.939 +21 15 06.88 20.5G 20TZ114 G96 C~93U1 2022 09 25.339410 00 40 57.920 +21 15 06.73 20.6G 20TZ114 G96 C~93U1 2022 10 17.233105 00 39 08.050 +21 04 54.35 21.4G 20TZ114 G96 C~93U1 2022 10 17.238692 00 39 08.037 +21 04 54.33 21.3G 20TZ114 G96 C~93U1 2022 10 17.244279 00 39 07.944 +21 04 53.95 21.1G 20TZ114 G96 C~93U1 2022 10 25.202673 00 38 29.814 +21 00 28.22 21.5G 20TZ114 G96 C~93U1 2022 10 25.207845 00 38 29.738 +21 00 27.16 21.5G 20TZ114 G96 C~93U1 2022 10 25.213034 00 38 29.734 +21 00 27.02 21.6G 20TZ114 G96 C~93U1 2022 11 15.234718 00 37 03.006 +20 47 56.88 21.2G 20TZ114 G96 C~93U1 2022 11 15.239898 00 37 02.945 +20 47 56.82 21.2G 20TZ114 G96 C~93U1 2022 11 15.250254 00 37 02.725 +20 47 55.37 21.3G 20TZ114 G96 C~93U1 2022 11 28.166395 00 36 24.447 +20 40 23.76 21.0G 20TZ114 G96 C~93U1 2022 11 28.177779 00 36 24.432 +20 40 23.16 21.3G 20TZ114 G96 C~93U1 2022 11 28.183471 00 36 24.377 +20 40 23.07 20.8G 20TZ114 G96 C~93U1 2022 12 25.092144 00 35 52.833 +20 27 27.63 21.6G 20TZ114 G96 C~93U1 2022 12 25.103766 00 35 52.871 +20 27 23.61 21.5G 20TZ114 G96 C~93U1 2024 01 10.071733 00 41 20.235 +21 04 15.81 21.0G 20TZ114 G96 C~93U1 2024 01 10.077546 00 41 20.339 +21 04 15.01 21.7G 20TZ114 G96 C~93U1 2024 01 10.083368 00 41 20.364 +21 04 13.56 20.9G 20TZ114 G96 C~93U1 2024 09 23.393042 00 51 52.897 +22 38 40.39 21.3G 20TZ114 G96 C~93U1 2024 09 23.398185 00 51 52.876 +22 38 40.04 21.4G 20TZ114 G96 C~93U1 2024 09 23.403337 00 51 52.780 +22 38 39.99 20.7G 20TZ114 G96 C~93U1 2024 10 11.330855 00 50 22.006 +22 31 15.88 21.7G 20TZ114 G96 C~93U1 2024 10 11.336080 00 50 21.796 +22 31 14.57 21.6G 20TZ114 G96 C~93U1 2024 10 28.181988 00 48 58.774 +22 22 13.40 21.3G 20TZ114 G96 C~93U1 2024 10 28.187257 00 48 58.766 +22 22 12.47 21.4G 20TZ114 G96 C~93U1 2025 08 23.437300 00 59 31.578 +23 23 36.30 22.0w 20TZ114 F52 C~9501 2025 08 23.449340 00 59 31.539 +23 23 36.39 22.0w 20TZ114 F52 C~9501 2025 08 23.461434 00 59 31.505 +23 23 36.45 21.7w 20TZ114 F52 C~9501 2025 08 23.473541 00 59 31.441 +23 23 36.46 22.1w 20TZ114 F52 C~9501 2025 09 17.423365 00 57 49.753 +23 20 48.89 21.8w 20TZ114 F52 C~98Sa 2025 09 17.436294 00 57 49.702 +23 20 48.73 21.8w 20TZ114 F52 C~98Sa 2025 09 17.449267 00 57 49.637 +23 20 48.15 21.8w 20TZ114 F52 C~98Sa 2025 09 17.462311 00 57 49.566 +23 20 48.16 21.6w 20TZ114 F52 C~98Sa
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 -0.04 0.00 -0.13
2 0.0000 0.00 0.02 0.00 -0.11
3 0.0000 0.00 0.20 0.00 -0.03
4 11.8225 0.00 -0.17 0.00 -0.08
5 11.8225 0.00 -0.09 0.00 0.07
6 15.0339 0.00 0.33 0.00 1.39
7 15.0339 0.00 0.00 0.00 -0.06
8 15.0773 0.00 0.94 0.00 1.67
9 15.0774 0.00 -0.23 0.00 0.64
10 15.0774 0.00 -0.60 0.00 -0.18
11 16.2817 0.00 -0.44 0.00 -0.10
12 16.2817 0.00 1.37 0.00 -1.76
13 16.9997 0.00 0.82 0.00 0.82
14 16.9997 0.00 0.06 0.00 0.04
15 16.9997 0.00 -2.04 0.00 0.01
16 16.9997 0.00 -1.93 0.00 -0.02
17 17.0597 0.00 0.07 0.00 -0.48
18 17.0597 0.00 0.29 0.00 -0.32
19 17.0597 0.00 -0.68 0.00 -0.52
20 17.0815 0.00 0.06 0.00 0.22
21 17.0815 0.00 -0.71 0.00 -0.66
22 17.0815 0.00 -0.40 0.00 -0.62
23 17.1391 0.00 0.76 0.00 0.02
24 17.1391 0.00 0.12 0.00 0.15
25 17.1391 0.00 ( -2.63) 0.00 ( -0.93)
26 17.1745 0.00 0.14 0.00 0.33
27 17.1745 0.00 0.34 0.00 0.12
28 17.1745 0.00 -0.27 0.00 0.22
29 17.2482 0.00 ( -2.34) 0.00 ( 1.65)
30 17.2482 0.00 ( -1.79) 0.00 ( -2.10)
31 18.2913 0.00 -0.91 0.00 0.51
32 18.2913 0.00 0.51 0.00 -0.20
33 18.2913 0.00 0.75 0.00 -1.57
34 18.9958 0.00 1.12 0.00 -0.09
35 18.9958 0.00 1.19 0.00 -0.33
36 18.9958 0.00 0.14 0.00 -0.28
37 19.0449 0.00 1.83 0.00 0.79
38 19.0449 0.00 -0.91 0.00 -0.36
39 19.0910 0.00 -0.55 0.00 0.19
40 19.0910 0.00 -0.30 0.00 -0.56
41 19.9103 0.00 -0.15 0.00 0.11
42 19.9104 0.00 -0.13 0.00 0.18
43 19.9104 0.00 -0.03 0.00 0.21
44 19.9104 0.00 -0.38 0.00 0.19
45 19.9787 0.00 -0.16 0.00 0.22
46 19.9788 0.00 0.00 0.00 0.25
47 19.9788 0.00 -0.03 0.00 -0.13
48 19.9788 0.00 -0.16 0.00 0.07
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.
20TZ114 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.538 39.538 39.538 ecceobj 0.048 0.048 0.048 incobj 16.086 16.086 16.086 qmin 35.823 35.850 35.866 qmax 43.360 43.393 43.385 amean 39.463 39.463 39.463 amin 39.084 39.086 39.091 amax 39.843 39.863 39.843 emean 0.062 0.062 0.063 emin 0.038 0.037 0.038 emax 0.091 0.091 0.091 imean 17.466 17.464 17.463 imin 16.781 16.744 16.732 imax 18.119 18.119 18.119 excite_mean 0.307 0.307 0.307 fracstop 1.000 1.000 1.000 cjmean 2.942 2.942 2.942 libcent 0 180.8 180.9 180.7 libamp 0 91.7 91.7 91.6 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 180.2 179.0 179.6 kozaiamp 180.0 180.0 180.0