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: 13TL172 # Created Mon Apr 28 01:09:46 2025 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 4.99y # First observation: 2013/10/13 # Last observation: 2018/10/10 Preliminary a, adot, b, bdot, g, gdot: 0.000114 0.019714 -0.000005 -0.000028 0.022555 0.000000 # Chi-squared of fit: 8.31 DOF: 48 RMS: 0.10 # Min/Max residuals: -0.30 0.25 # Exact a, adot, b, bdot, g, gdot: 1.468932E-05 1.969465E-02 -8.196627E-07 -2.786682E-05 2.200642E-02 -3.740352E-04 # Covariance matrix: 2.0343E-13 -8.4533E-14 -8.5209E-16 1.7163E-16 1.2592E-13 -3.5359E-13 -8.4533E-14 1.9566E-13 -8.2028E-16 -4.6450E-17 1.7272E-13 2.0603E-12 -8.5209E-16 -8.2028E-16 1.4892E-13 -3.9922E-14 -4.9067E-15 -1.3360E-14 1.7163E-16 -4.6450E-17 -3.9922E-14 1.6867E-14 5.7821E-16 5.6469E-17 1.2592E-13 1.7272E-13 -4.9067E-15 5.7821E-16 8.2489E-13 2.6153E-12 -3.5359E-13 2.0603E-12 -1.3360E-14 5.6469E-17 2.6153E-12 2.4335E-11 # lat0 lon0 xBary yBary zBary JD0 -1.827182 2.517762 -0.292740 -0.030291 -0.953021 2456578.598308 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 195.18902 +/- 0.228 Argument of Peri: 74.24685 +/- 0.224 Long of Asc Node: 95.13138 +/- 0.012 Inclination: 1.79108 +/- 0.000 Eccentricity: 0.06107674 +/- 0.0001 Semi-Major Axis: 43.80297956 +/- 0.0062 Time of Perihelion: 2505047.7014 +/- 66.1 Perihelion: 41.12763644 +/- 0.0073 Aphelion: 46.47832268 +/- 0.0079 Period (y) 289.9103 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.31352315 +/- 0.0019 Ecliptic Y 2.33261779 +/- 0.0001 Ecliptic Z -1.44895949 +/- 0.0001 Ecliptic XDOT -0.00016038 +/- 0.0000 Ecliptic YDOT 0.00244438 +/- 0.0000 Ecliptic ZDOT -0.00000184 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.39485980 +/- 0.0019 Geocenter to KBO 45.44127626 +/- 0.0019 # Hcoef: 6.78
The following table shows the complete astrometric record for 13TL172. 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 (13TL172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.09753 00 12 08.737 -00 40 31.66 22.7z 13TL172 W84 C~4yR9 2013 10 13.11488 00 12 08.676 -00 40 32.20 23.1i 13TL172 W84 C~4yR9 2013 11 08.16530 00 10 39.655 -00 49 34.27 23.5r 13TL172 W84 C~4yR9 2013 11 08.16667 00 10 39.664 -00 49 34.53 23.1i 13TL172 W84 C~4yR9 2013 11 22.08973 00 10 06.842 -00 52 39.06 24.5g 13TL172 W84 C~4yR9 2013 11 22.09111 00 10 06.830 -00 52 38.80 23.7r 13TL172 W84 C~4yR9 2013 11 22.09392 00 10 06.823 -00 52 38.93 23.2i 13TL172 W84 C~4yR9 2014 10 02.249375 00 17 01.78 -00 09 00.4 23.2r 13TL172 W84 C~35ba 2014 10 02.24991 00 17 01.783 -00 09 00.55 23.3r 13TL172 W84 C~4yR9 2014 10 02.25263 00 17 01.761 -00 09 00.58 23.1i 13TL172 W84 C~4yR9 2014 10 28.18544 00 15 22.320 -00 19 23.37 23.1i 13TL172 W84 C~4yR9 2014 10 28.19540 00 15 22.278 -00 19 23.57 23.7r 13TL172 W84 C~4yR9 2016 10 23.13956 00 23 54.442 +00 35 45.63 23.7r 13TL172 W84 C~4yR9 2016 11 08.13786 00 23 00.525 +00 30 20.90 22.9i 13TL172 W84 C~4yR9 2016 11 08.13923 00 23 00.526 +00 30 21.00 22.8z 13TL172 W84 C~4yR9 2016 11 30.10104 00 22 10.065 +00 25 41.24 23.4r 13TL172 W84 C~4yR9 2016 11 30.10240 00 22 10.058 +00 25 41.38 23.1i 13TL172 W84 C~4yR9 2017 09 27.193241 00 29 47.60 +01 13 34.0 23.7r 13TL172 W84 C~35ba 2017 09 27.19377 00 29 47.606 +01 13 33.89 23.6r 13TL172 W84 C~4yR9 2017 09 27.194606 00 29 47.59 +01 13 34.1 23.6i 13TL172 W84 C~35ba 2017 09 27.19514 00 29 47.586 +01 13 33.88 23.1i 13TL172 W84 C~4yR9 2017 09 27.19652 00 29 47.587 +01 13 34.00 24.3g 13TL172 W84 C~4yR9 2017 10 27.17431 00 27 48.803 +01 01 06.62 22.5z 13TL172 W84 C~4yR9 2017 10 29.14670 00 27 41.788 +01 00 23.78 22.5z 13TL172 W84 C~4yR9 2018 09 09.33142 00 35 08.342 +01 48 12.26 23.3r 13TL172 W84 C~4yR9 2018 09 09.33280 00 35 08.328 +01 48 12.21 23.4i 13TL172 W84 C~4yR9 2018 10 10.25820 00 33 04.340 +01 34 48.39 23.1i 13TL172 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 -0.11 0.00 0.16
2 0.0000 -1.05 -0.05 -0.13 0.01
3 0.0714 -1441.74 -0.03 33.02 0.25
4 0.0714 -1441.72 0.05 32.73 -0.04
5 0.1095 -1966.82 0.07 58.99 -0.30
6 0.1095 -1966.88 0.05 59.30 0.01
7 0.1095 -1967.03 -0.01 59.22 -0.08
8 0.9696 4785.97 0.06 -11.83 0.07
9 0.9696 4785.95 0.08 -11.98 -0.09
10 0.9696 4785.64 -0.05 -11.88 0.02
11 1.0406 3168.77 -0.00 9.65 -0.08
12 1.0407 3168.11 -0.10 9.72 -0.03
13 3.0282 11544.65 0.10 -7.86 -0.09
14 3.0720 10670.96 0.02 15.64 -0.03
15 3.0720 10671.01 0.14 15.72 0.05
16 3.1321 9863.29 -0.05 59.93 -0.06
17 3.1321 9863.25 -0.06 60.10 0.11
18 3.9565 17335.18 -0.00 -30.58 0.06
19 3.9565 17335.22 0.07 -30.71 -0.07
20 3.9565 17335.08 -0.01 -30.42 0.21
21 3.9565 17334.94 -0.12 -30.60 0.04
22 3.9565 17335.00 0.04 -30.50 0.14
23 4.0385 15391.11 -0.22 -8.82 0.09
24 4.0439 15276.91 0.05 -6.34 -0.09
25 4.9069 22623.87 0.08 -31.44 -0.12
26 4.9069 22623.65 -0.05 -31.40 -0.08
27 4.9915 20576.08 0.03 -31.92 -0.05
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.
13TL172 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.042 44.060 44.023 ecceobj 0.055 0.055 0.055 incobj 1.791 1.791 1.791 qmin 40.269 40.291 40.181 qmax 47.668 47.644 47.670 amean 43.846 43.864 43.828 amin 43.506 43.523 43.484 amax 44.213 44.224 44.204 emean 0.061 0.061 0.061 emin 0.044 0.044 0.044 emax 0.079 0.078 0.079 imean 0.709 0.704 0.713 imin 0.371 0.371 0.372 imax 0.991 0.982 1.000 excite_mean 0.063 0.062 0.063 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 186.8 185.1 189.1 kozaiamp 180.0 180.0 179.9