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: 13TF172 # Created Tue Apr 1 01:09:45 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 5.10y # First observation: 2013/09/11 # Last observation: 2018/10/18 # Chi-squared of fit: 4.21 DOF: 56 RMS: 0.07 # Min/Max residuals: -0.16 0.17 # Exact a, adot, b, bdot, g, gdot: 1.503433E-05 2.245951E-02 -3.244837E-07 -6.347425E-04 2.351021E-02 -4.158392E-04 # Covariance matrix: 4.5783E-13 -1.0470E-13 -4.2452E-15 1.6790E-15 3.7078E-13 -2.7624E-13 -1.0470E-13 1.5321E-13 2.1375E-15 -4.2179E-15 2.5043E-14 1.3454E-12 -4.2452E-15 2.1375E-15 1.4227E-13 -3.5804E-14 -3.9579E-15 1.6186E-14 1.6790E-15 -4.2179E-15 -3.5804E-14 1.3586E-14 -1.3029E-15 -4.1158E-14 3.7078E-13 2.5043E-14 -3.9579E-15 -1.3029E-15 5.2574E-13 7.6836E-13 -2.7624E-13 1.3454E-12 1.6186E-14 -4.1158E-14 7.6836E-13 1.3485E-11 # lat0 lon0 xBary yBary zBary JD0 -2.444450 2.986528 0.253731 -0.041486 -0.974135 2456546.800698 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 285.08441 +/- 0.194 Argument of Peri: 313.61592 +/- 0.213 Long of Asc Node: 127.05067 +/- 0.005 Inclination: 2.89523 +/- 0.000 Eccentricity: 0.02743812 +/- 0.0002 Semi-Major Axis: 43.79108302 +/- 0.0055 Time of Perihelion: 2478573.0599 +/- 59.2 Perihelion: 42.58953796 +/- 0.0088 Aphelion: 44.99262807 +/- 0.0090 Period (y) 289.7922 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.42487743 +/- 0.0013 Ecliptic Y 2.01461219 +/- 0.0001 Ecliptic Z -1.81417377 +/- 0.0001 Ecliptic XDOT -0.00019391 +/- 0.0000 Ecliptic YDOT 0.00260809 +/- 0.0000 Ecliptic ZDOT -0.00007165 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.50943985 +/- 0.0013 Geocenter to KBO 42.53476430 +/- 0.0013 # Hcoef: 7.00
The following table shows the complete astrometric record for 13TF172. 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 (13TF172) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.29992 00 14 50.791 -01 03 20.75 23.7g 13TF172 W84 C~4yR9 2013 10 13.10032 00 12 35.856 -01 18 04.54 22.6z 13TF172 W84 C~4yR9 2013 10 13.13297 00 12 35.730 -01 18 05.53 23.1i 13TF172 W84 C~4yR9 2013 11 22.08973 00 10 27.766 -01 30 38.36 24.2g 13TF172 W84 C~4yR9 2013 11 22.09111 00 10 27.764 -01 30 38.42 23.5r 13TF172 W84 C~4yR9 2013 11 22.09392 00 10 27.759 -01 30 38.39 23.1i 13TF172 W84 C~4yR9 2013 11 23.08715 00 10 25.852 -01 30 48.12 23.5r 13TF172 W84 C~4yR9 2013 11 23.10126 00 10 25.822 -01 30 48.17 22.8i 13TF172 W84 C~4yR9 2014 10 02.24991 00 18 09.514 -00 44 25.83 23.4r 13TF172 W84 C~4yR9 2014 10 28.184907 00 16 24.55 -00 55 23.8 22.9i 13TF172 W84 C~35ba 2014 10 28.18544 00 16 24.551 -00 55 23.91 22.9i 13TF172 W84 C~4yR9 2014 10 28.19540 00 16 24.516 -00 55 24.14 22.9r 13TF172 W84 C~4yR9 2015 10 17.16107 00 21 54.428 -00 22 18.98 23.6r 13TF172 W84 C~4yR9 2016 09 09.33710 00 29 18.022 +00 23 28.90 23.0r 13TF172 W84 C~4yR9 2016 09 09.33846 00 29 18.019 +00 23 28.94 23.1i 13TF172 W84 C~4yR9 2016 10 23.13956 00 26 14.047 +00 03 34.20 23.2r 13TF172 W84 C~4yR9 2016 11 08.13786 00 25 16.892 -00 02 05.60 23.0i 13TF172 W84 C~4yR9 2016 11 08.13923 00 25 16.878 -00 02 05.54 23.7z 13TF172 W84 C~4yR9 2017 09 27.209722 00 32 51.62 +00 43 58.3 23.1r 13TF172 W84 C~35ba 2017 09 27.21025 00 32 51.622 +00 43 58.26 23.1r 13TF172 W84 C~4yR9 2017 09 27.211088 00 32 51.61 +00 43 58.2 22.8i 13TF172 W84 C~35ba 2017 09 27.21161 00 32 51.614 +00 43 58.20 22.6i 13TF172 W84 C~4yR9 2017 09 27.212465 00 32 51.61 +00 43 58.2 23.8g 13TF172 W84 C~35ba 2017 09 27.21299 00 32 51.605 +00 43 58.05 23.9g 13TF172 W84 C~4yR9 2017 10 22.18847 00 31 05.575 +00 32 44.53 24.2g 13TF172 W84 C~4yR9 2018 09 09.22996 00 38 54.992 +01 21 10.44 23.1z 13TF172 W84 C~4yR9 2018 09 09.33142 00 38 54.584 +01 21 07.72 23.6r 13TF172 W84 C~4yR9 2018 09 09.33280 00 38 54.578 +01 21 07.76 23.5i 13TF172 W84 C~4yR9 2018 10 10.25683 00 36 44.159 +01 06 47.53 23.5r 13TF172 W84 C~4yR9 2018 10 10.25820 00 36 44.154 +01 06 47.44 23.4i 13TF172 W84 C~4yR9 2018 10 18.18917 00 36 10.491 +01 03 16.21 23.3z 13TF172 W84 C~4yR9
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 -0.01
2 0.0871 0.00 -0.13 0.00 0.02
3 0.0872 0.00 0.02 0.00 -0.12
4 0.1965 0.00 -0.07 0.00 0.07
5 0.1966 0.00 -0.06 0.00 0.02
6 0.1966 0.00 -0.05 0.00 0.08
7 0.1993 0.00 0.12 0.00 -0.07
8 0.1993 0.00 0.08 0.00 0.02
9 1.0567 0.00 0.17 0.00 0.06
10 1.1277 0.00 -0.04 0.00 0.05
11 1.1277 0.00 0.00 0.00 -0.05
12 1.1277 0.00 0.03 0.00 -0.07
13 2.0968 0.00 0.07 0.00 -0.01
14 2.9953 0.00 -0.08 0.00 0.07
15 2.9953 0.00 -0.05 0.00 0.15
16 3.1152 0.00 0.01 0.00 -0.16
17 3.1590 0.00 0.09 0.00 0.00
18 3.1590 0.00 -0.05 0.00 0.08
19 4.0436 0.00 -0.00 0.00 0.02
20 4.0436 0.00 0.06 0.00 -0.00
21 4.0436 0.00 -0.06 0.00 -0.04
22 4.0436 0.00 0.03 0.00 -0.02
23 4.0436 0.00 0.03 0.00 0.00
24 4.0436 0.00 -0.01 0.00 -0.14
25 4.1119 0.00 -0.03 0.00 0.00
26 4.9936 0.00 0.09 0.00 -0.00
27 4.9939 0.00 -0.01 0.00 -0.01
28 4.9939 0.00 -0.02 0.00 0.07
29 5.0786 0.00 -0.02 0.00 0.04
30 5.0786 0.00 -0.01 0.00 -0.01
31 5.1003 0.00 0.04 0.00 0.02
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.
13TF172 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.034 44.034 44.034 ecceobj 0.028 0.028 0.028 incobj 2.892 2.892 2.892 qmin 41.478 41.497 41.464 qmax 46.370 46.346 46.379 amean 43.817 43.817 43.817 amin 43.478 43.484 43.475 amax 44.165 44.164 44.164 emean 0.034 0.034 0.034 emin 0.017 0.017 0.017 emax 0.050 0.050 0.050 imean 1.978 1.978 1.978 imin 1.281 1.281 1.281 imax 2.629 2.629 2.629 excite_mean 0.049 0.049 0.049 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 183.2 183.3 183.1 kozaiamp 180.0 180.0 180.0