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: 14TK115 # Created Tue Apr 14 01:10:17 2026 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 22 observations of 22 # Arc: 12.08y # First observation: 2013/11/22 # Last observation: 2025/12/21 # Chi-squared of fit: 9.37 DOF: 38 RMS: 0.12 # Min/Max residuals: -0.40 0.27 # Exact a, adot, b, bdot, g, gdot: 1.919155E-05 3.927293E-02 -3.554558E-06 -8.041657E-03 3.264148E-02 3.498959E-03 # Covariance matrix: 3.8613E-13 -1.7857E-13 -5.7090E-14 3.3078E-14 3.6132E-14 -3.1886E-13 -1.7857E-13 1.5783E-13 5.3657E-14 -3.2499E-14 -1.7209E-13 3.2238E-13 -5.7090E-14 5.3657E-14 1.6391E-13 -3.1411E-14 -5.7835E-14 1.1294E-13 3.3078E-14 -3.2499E-14 -3.1411E-14 1.1975E-14 3.7824E-14 -6.8715E-14 3.6132E-14 -1.7209E-13 -5.7835E-14 3.7824E-14 4.5910E-13 -3.9242E-13 -3.1886E-13 3.2238E-13 1.1294E-13 -6.8715E-14 -3.9242E-13 6.8352E-13 # lat0 lon0 xBary yBary zBary JD0 -3.365992 13.218358 -0.714818 -0.039738 -0.678030 2456618.639868 # Heliocentric elements and errors Epoch: 2456618.5000 = 2013/11/22 Mean Anomaly: 21.06573 +/- 0.006 Argument of Peri: 162.18528 +/- 0.007 Long of Asc Node: 178.81449 +/- 0.000 Inclination: 11.98805 +/- 0.000 Eccentricity: 0.23043773 +/- 0.0001 Semi-Major Axis: 39.40774207 +/- 0.0055 Time of Perihelion: 2451331.0681 +/- 1.9 Perihelion: 30.32671128 +/- 0.0056 Aphelion: 48.48877286 +/- 0.0077 Period (y) 247.3891 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.26959848 +/- 0.0006 Ecliptic Y 7.84731536 +/- 0.0001 Ecliptic Z -1.79891153 +/- 0.0000 Ecliptic XDOT -0.00051273 +/- 0.0000 Ecliptic YDOT 0.00326287 +/- 0.0000 Ecliptic ZDOT -0.00069043 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.32189398 +/- 0.0006 Geocenter to KBO 30.63585372 +/- 0.0006 # Hcoef: 8.24
The following table shows the complete astrometric record for 14TK115. 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 (14TK115) followed by the observatory code and reference code for the source of the astrometry.
2013 11 22.13909 00 53 52.939 +02 06 59.30 22.7i 14TK115 W84 C~52UG 2013 11 22.15022 00 53 52.899 +02 06 59.16 22.7z 14TK115 W84 C~52UG 2014 10 02.29411 01 07 15.868 +03 02 43.72 24.1g 14TK115 W84 C~52UG 2014 11 14.07483 01 03 25.994 +02 37 00.69 23.4r 14TK115 W84 C~52UG 2014 11 14.07621 01 03 25.993 +02 37 00.74 23.0i 14TK115 W84 C~52UG 2015 11 07.11042 01 12 56.923 +03 06 41.02 23.0r 14TK115 W84 C~52UG 2015 11 07.11179 01 12 56.918 +03 06 41.04 23.2i 14TK115 W84 C~52UG 2015 11 07.11317 01 12 56.908 +03 06 40.94 23.7g 14TK115 W84 C~52UG 2016 10 23.21561 01 23 06.542 +03 40 22.32 22.8r 14TK115 W84 C~52UG 2016 10 23.21697 01 23 06.543 +03 40 22.23 23.8g 14TK115 W84 C~52UG 2016 10 29.19725 01 22 33.103 +03 36 47.67 24.4g 14TK115 W84 C~52UG 2016 11 05.15757 01 21 55.613 +03 32 53.83 22.8r 14TK115 W84 C~52UG 2016 11 05.15895 01 21 55.610 +03 32 53.66 22.7i 14TK115 W84 C~52UG 2017 08 27.37486 01 36 32.605 +04 40 12.43 23.4i 14TK115 W84 C~52UG 2017 08 27.38869 01 36 32.555 +04 40 12.23 23.4r 14TK115 W84 C~52UG 2017 08 27.39145 01 36 32.548 +04 40 12.07 22.6z 14TK115 W84 C~52UG 2018 09 11.36127 01 44 19.661 +04 56 05.37 22.7i 14TK115 W84 C~52UG 2018 09 11.36265 01 44 19.656 +04 56 05.16 23.7r 14TK115 W84 C~52UG 2018 10 20.17485 01 40 59.628 +04 31 51.37 22.7z 14TK115 W84 C~52UG 2025 12 21.12236 02 34 33.998 +06 39 33.48 23.7G 14TK115 G37 2025 12 21.17052 02 34 33.832 +06 39 33.06 14TK115 G37 2025 12 21.21847 02 34 33.673 +06 39 32.83 14TK115 G37
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 -0.08
2 0.0000 0.00 0.00 0.00 0.02
3 0.8601 0.00 -0.03 0.00 -0.18
4 0.9772 0.00 0.01 0.00 -0.07
5 0.9772 0.00 0.09 0.00 0.02
6 1.9575 0.00 0.00 0.00 0.02
7 1.9575 0.00 0.03 0.00 0.08
8 1.9575 0.00 -0.01 0.00 0.02
9 2.9188 0.00 -0.15 0.00 0.04
10 2.9188 0.00 -0.02 0.00 0.00
11 2.9351 0.00 0.09 0.00 0.27
12 2.9542 0.00 -0.06 0.00 0.15
13 2.9542 0.00 0.01 0.00 0.02
14 3.7625 0.00 0.11 0.00 -0.13
15 3.7625 0.00 -0.00 0.00 0.08
16 3.7625 0.00 0.02 0.00 0.00
17 4.8028 0.00 -0.02 0.00 0.17
18 4.8028 0.00 -0.01 0.00 0.01
19 4.9091 0.00 0.05 0.00 -0.40
20 12.0794 0.00 0.10 0.00 0.21
21 12.0795 0.00 0.10 0.00 0.14
22 12.0796 0.00 0.18 0.00 0.25
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.
14TK115 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.666 39.667 39.666 ecceobj 0.236 0.236 0.236 incobj 11.958 11.958 11.958 qmin 28.754 28.755 28.754 qmax 50.797 50.798 50.796 amean 39.456 39.456 39.456 amin 38.954 38.952 38.956 amax 40.060 40.064 40.055 emean 0.230 0.230 0.230 emin 0.196 0.196 0.196 emax 0.270 0.270 0.270 imean 11.862 11.862 11.862 imin 9.914 9.914 9.914 imax 13.579 13.579 13.580 excite_mean 0.309 0.309 0.309 fracstop 1.000 1.000 1.000 cjmean 2.943 2.943 2.943 libcent 0 179.6 179.6 179.6 libamp 0 109.4 109.3 109.4 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 95.7 95.7 95.7 kozaiamp 60.1 60.1 60.1