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: 21TJ192 # Created Tue Apr 1 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 2.10y # First observation: 2019/08/30 # Last observation: 2021/10/04 Preliminary a, adot, b, bdot, g, gdot: -0.000007 0.029527 -0.000002 0.004984 0.026500 0.000000 # Chi-squared of fit: 4.72 DOF: 52 RMS: 0.07 # Min/Max residuals: -0.14 0.25 # Exact a, adot, b, bdot, g, gdot: 1.765005E-05 2.970292E-02 3.077261E-06 5.018778E-03 2.663355E-02 3.535919E-03 # Covariance matrix: 5.8509E-13 3.2973E-13 -3.5889E-14 8.8603E-14 1.0330E-12 8.1075E-12 3.2973E-13 3.1670E-12 -2.2169E-13 5.6350E-13 3.8128E-12 5.1598E-11 -3.5889E-14 -2.2169E-13 2.7147E-13 -2.1483E-13 -2.7823E-13 -3.7904E-12 8.8603E-14 5.6350E-13 -2.1483E-13 2.5279E-13 7.0298E-13 9.6397E-12 1.0330E-12 3.8128E-12 -2.7823E-13 7.0298E-13 5.4572E-12 6.4361E-11 8.1075E-12 5.1598E-11 -3.7904E-12 9.6397E-12 6.4361E-11 8.8269E-10 # lat0 lon0 xBary yBary zBary JD0 -1.737050 -8.235844 0.262265 -0.029382 -0.969054 2458725.713221 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 15.81055 +/- 0.109 Argument of Peri: 320.54274 +/- 0.223 Long of Asc Node: 1.31295 +/- 0.001 Inclination: 9.70798 +/- 0.001 Eccentricity: 0.28878929 +/- 0.0005 Semi-Major Axis: 52.60220519 +/- 0.0119 Time of Perihelion: 2452600.5357 +/- 42.2 Perihelion: 37.41125154 +/- 0.0268 Aphelion: 67.79315884 +/- 0.0297 Period (y) 381.5172 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.06710762 +/- 0.0033 Ecliptic Y -5.78139630 +/- 0.0005 Ecliptic Z -1.13802136 +/- 0.0001 Ecliptic XDOT 0.00082090 +/- 0.0000 Ecliptic YDOT 0.00296818 +/- 0.0000 Ecliptic ZDOT 0.00050443 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.52044027 +/- 0.0032 Geocenter to KBO 37.54662614 +/- 0.0033 # Hcoef: 7.48
The following table shows the complete astrometric record for 21TJ192. 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 (21TJ192) followed by the observatory code and reference code for the source of the astrometry.
2019 08 30.212420 23 32 29.490 -04 51 45.23 23.0r 21TJ192 W84 C~7XPv 2019 08 30.387214 23 32 28.673 -04 51 50.00 23.0r 21TJ192 W84 C~7XPv 2019 09 28.012277 23 30 12.487 -05 04 56.74 23.0r 21TJ192 W84 C~7XPv 2019 09 28.177548 23 30 11.694 -05 05 01.10 23.0r 21TJ192 W84 C~7XPv 2020 10 18.01856 23 34 30.60 -04 17 10.1 23.8V 21TJ192 W84 C~7XPw 2020 10 18.02891 23 34 30.56 -04 17 10.4 23.7V 21TJ192 W84 C~7XPw 2020 10 18.03065 23 34 30.56 -04 17 10.4 21TJ192 W84 C~7XPw 2020 10 18.03582 23 34 30.54 -04 17 10.6 21TJ192 W84 C~7XPw 2020 10 18.04615 23 34 30.50 -04 17 10.8 21TJ192 W84 C~7XPw 2020 10 18.05652 23 34 30.45 -04 17 11.0 21TJ192 W84 C~7XPw 2020 10 18.05825 23 34 30.45 -04 17 11.0 21TJ192 W84 C~7XPw 2020 10 18.06340 23 34 30.43 -04 17 11.2 21TJ192 W84 C~7XPw 2020 10 18.07376 23 34 30.39 -04 17 11.3 21TJ192 W84 C~7XPw 2020 10 18.08418 23 34 30.34 -04 17 11.5 21TJ192 W84 C~7XPw 2020 10 18.08589 23 34 30.34 -04 17 11.6 21TJ192 W84 C~7XPw 2020 10 18.11879 23 34 30.20 -04 17 12.3 21TJ192 W84 C~7XPw 2020 10 18.12912 23 34 30.18 -04 17 12.4 21TJ192 W84 C~7XPw 2020 10 18.13948 23 34 30.12 -04 17 12.7 21TJ192 W84 C~7XPw 2020 10 18.14120 23 34 30.11 -04 17 12.7 21TJ192 W84 C~7XPw 2020 10 18.14638 23 34 30.10 -04 17 12.8 21TJ192 W84 C~7XPw 2020 10 18.15674 23 34 30.05 -04 17 13.0 21TJ192 W84 C~7XPw 2020 10 18.16710 23 34 30.00 -04 17 13.2 21TJ192 W84 C~7XPw 2020 10 18.16883 23 34 30.00 -04 17 13.3 21TJ192 W84 C~7XPw 2021 09 06.108763 23 43 28.844 -03 03 02.71 23.1r 21TJ192 W84 C~7XPw 2021 09 06.196686 23 43 28.412 -03 03 05.16 23.1r 21TJ192 W84 C~7XPw 2021 10 04.00215 23 41 17.11 -03 15 46.4 23.7V 21TJ192 W84 C~7XPw 2021 10 04.05978 23 41 16.85 -03 15 47.9 23.6V 21TJ192 W84 C~7XPw 2021 10 04.09425 23 41 16.69 -03 15 48.6 23.7V 21TJ192 W84 C~7XPw 2021 10 04.16455 23 41 16.37 -03 15 50.6 23.2V 21TJ192 W84 C~7XPw
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 -0.00 0.00 -0.02 2 0.0005 -13.10 -0.03 0.44 -0.03 3 0.0788 -2193.58 0.07 80.84 -0.04 4 0.0793 -2206.19 -0.03 81.50 -0.02 5 1.1357 2483.98 -0.05 1190.01 0.11 6 1.1357 2483.31 -0.06 1189.97 0.03 7 1.1357 2483.31 0.05 1189.97 0.02 8 1.1357 2482.95 0.02 1189.91 -0.07 9 1.1358 2482.32 0.04 1189.96 -0.06 10 1.1358 2481.56 -0.07 1190.07 0.00 11 1.1358 2481.56 0.04 1190.07 -0.01 12 1.1358 2481.20 0.01 1190.01 -0.10 13 1.1358 2480.62 0.08 1190.15 0.00 14 1.1359 2479.85 -0.03 1190.27 0.07 15 1.1359 2479.81 0.04 1190.17 -0.03 16 1.1360 2477.61 -0.08 1190.36 0.00 17 1.1360 2477.29 0.25 1190.39 -0.02 18 1.1360 2476.35 -0.04 1190.47 0.01 19 1.1360 2476.21 -0.07 1190.53 0.06 20 1.1360 2476.04 0.08 1190.49 0.01 21 1.1361 2475.27 -0.03 1190.61 0.07 22 1.1361 2474.50 -0.14 1190.72 0.14 23 1.1361 2474.47 -0.07 1190.63 0.04 24 2.0203 11657.10 0.12 2075.23 -0.10 25 2.0205 11650.17 -0.11 2075.55 -0.04 26 2.0966 9537.45 -0.10 2159.14 -0.01 27 2.0968 9533.27 -0.02 2159.31 -0.05 28 2.0969 9530.78 0.06 2159.62 0.13 29 2.0971 9525.58 0.07 2159.69 -0.08
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.
21TJ192 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 52.588 52.643 52.534 ecceobj 0.288 0.290 0.287 incobj 9.695 9.694 9.695 qmin 36.751 36.648 36.687 qmax 68.847 69.138 68.649 amean 52.455 52.501 52.335 amin 51.922 51.930 51.796 amax 53.156 53.190 52.968 emean 0.284 0.288 0.283 emin 0.272 0.275 0.271 emax 0.298 0.301 0.296 imean 10.119 9.906 9.899 imin 9.684 9.476 9.352 imax 10.775 10.497 10.539 excite_mean 0.334 0.336 0.331 fracstop 1.000 1.000 1.000 cjmean 3.065 3.064 3.066 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 173.9 173.6 174.9 kozaiamp 179.9 179.9 180.0