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: 13TA172 # Created Fri Aug 29 01:09:50 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 5.01y # First observation: 2013/10/13 # Last observation: 2018/10/18 # Chi-squared of fit: 12.19 DOF: 50 RMS: 0.12 # Min/Max residuals: -0.31 0.36 # Exact a, adot, b, bdot, g, gdot: 1.812823E-05 3.418795E-02 -4.803658E-06 -8.658176E-03 3.060137E-02 -4.198345E-03 # Covariance matrix: 2.2950E-13 -1.2542E-13 -9.3480E-15 1.5116E-14 1.4157E-13 -3.5871E-13 -1.2542E-13 1.7129E-13 1.7777E-14 -3.5472E-14 -2.8097E-14 8.6276E-13 -9.3480E-15 1.7777E-14 1.4672E-13 -4.3667E-14 -1.3468E-15 1.0129E-13 1.5116E-14 -3.5472E-14 -4.3667E-14 2.5825E-14 -9.3533E-15 -2.1378E-13 1.4157E-13 -2.8097E-14 -1.3468E-15 -9.3533E-15 4.3385E-13 2.5798E-13 -3.5871E-13 8.6276E-13 1.0129E-13 -2.1378E-13 2.5798E-13 5.2291E-12 # lat0 lon0 xBary yBary zBary JD0 -3.443072 6.262347 -0.230567 -0.058164 -0.968658 2456578.641138 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 329.20482 +/- 0.016 Argument of Peri: 237.70139 +/- 0.024 Long of Asc Node: 173.65421 +/- 0.000 Inclination: 14.55401 +/- 0.000 Eccentricity: 0.18613085 +/- 0.0001 Semi-Major Axis: 39.49991229 +/- 0.0045 Time of Perihelion: 2464335.1251 +/- 14.8 Perihelion: 32.14776004 +/- 0.0047 Aphelion: 46.85206454 +/- 0.0061 Period (y) 248.2575 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.36353991 +/- 0.0007 Ecliptic Y 3.89620685 +/- 0.0001 Ecliptic Z -1.96274301 +/- 0.0000 Ecliptic XDOT -0.00075877 +/- 0.0000 Ecliptic YDOT 0.00299306 +/- 0.0000 Ecliptic ZDOT -0.00075054 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.64763234 +/- 0.0007 Geocenter to KBO 32.67838907 +/- 0.0007 # Hcoef: 7.94
The following table shows the complete astrometric record for 13TA172. 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 (13TA172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.14036 00 28 26.711 -00 40 31.79 23.0i 13TA172 W84 C~4yR8 2013 10 13.14173 00 28 26.722 -00 40 32.01 22.8z 13TA172 W84 C~4yR8 2013 11 08.17983 00 26 26.150 -00 54 23.80 23.2r 13TA172 W84 C~4yR8 2013 11 08.180683 00 26 26.13 -00 54 23.6 23.0i 13TA172 W84 C~352D 2013 11 08.18121 00 26 26.125 -00 54 23.86 22.9i 13TA172 W84 C~4yR8 2013 11 22.09251 00 25 40.402 -00 59 19.87 23.4r 13TA172 W84 C~4yR8 2013 11 23.11061 00 25 37.701 -00 59 36.55 23.1r 13TA172 W84 C~4yR8 2013 11 23.11202 00 25 37.707 -00 59 36.47 23.1i 13TA172 W84 C~4yR8 2014 10 29.212928 00 35 07.97 -00 30 28.7 23.0r 13TA172 W84 C~352D 2014 10 29.21345 00 35 07.980 -00 30 29.13 23.0r 13TA172 W84 C~4yR8 2014 11 13.129271 00 34 05.23 -00 37 20.1 23.1i 13TA172 W84 C~352D 2014 11 13.12979 00 34 05.230 -00 37 20.19 22.7i 13TA172 W84 C~4yR8 2015 11 02.09945 00 42 53.266 -00 13 08.45 23.6r 13TA172 W84 C~4yR8 2016 08 26.32136 00 56 31.080 +00 48 03.76 23.0i 13TA172 W84 C~4yR8 2016 08 26.32273 00 56 31.075 +00 48 03.84 22.5r 13TA172 W84 C~4yR8 2016 08 26.32411 00 56 31.066 +00 48 04.05 22.2z 13TA172 W84 C~4yR8 2016 08 30.35404 00 56 15.704 +00 45 41.65 24.0g 13TA172 W84 C~4yR8 2016 10 23.126644 00 51 44.59 +00 11 12.5 23.6g 13TA172 W84 C~352D 2016 10 23.12717 00 51 44.608 +00 11 12.21 24.2g 13TA172 W84 C~4yR8 2016 11 05.19660 00 50 40.838 +00 04 17.07 23.0i 13TA172 W84 C~4yR8 2016 11 06.18077 00 50 36.401 +00 03 49.15 23.7r 13TA172 W84 C~4yR8 2017 09 18.28731 01 03 01.594 +00 53 21.06 22.7r 13TA172 W84 C~4yR8 2017 09 18.28870 01 03 01.584 +00 53 20.94 22.7i 13TA172 W84 C~4yR8 2017 09 24.29256 01 02 31.063 +00 49 20.96 22.4z 13TA172 W84 C~4yR8 2018 09 14.34565 01 11 35.758 +01 15 44.28 23.3i 13TA172 W84 C~4yR8 2018 09 14.34702 01 11 35.750 +01 15 44.15 23.0r 13TA172 W84 C~4yR8 2018 09 14.34839 01 11 35.740 +01 15 44.15 23.9g 13TA172 W84 C~4yR8 2018 10 18.20600 01 08 38.054 +00 53 34.80 22.9z 13TA172 W84 C~4yR8
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 0.02
2 0.0000 0.00 0.16 0.00 -0.14
3 0.0713 0.00 0.22 0.00 -0.03
4 0.0713 0.00 -0.03 0.00 0.20
5 0.0713 0.00 -0.08 0.00 -0.05
6 0.1094 0.00 0.19 0.00 -0.08
7 0.1122 0.00 -0.17 0.00 -0.06
8 0.1122 0.00 -0.02 0.00 0.04
9 1.0433 0.00 -0.20 0.00 0.36
10 1.0433 0.00 -0.01 0.00 -0.05
11 1.0842 0.00 -0.06 0.00 0.03
12 1.0842 0.00 -0.04 0.00 -0.04
13 2.0533 0.00 0.10 0.00 0.05
14 2.8698 0.00 0.06 0.00 -0.13
15 2.8698 0.00 0.06 0.00 0.00
16 2.8698 0.00 0.00 0.00 0.26
17 2.8808 0.00 -0.02 0.00 -0.31
18 3.0280 0.00 -0.12 0.00 0.16
19 3.0280 0.00 0.19 0.00 -0.11
20 3.0638 0.00 0.01 0.00 -0.05
21 3.0665 0.00 0.01 0.00 -0.10
22 3.9320 0.00 0.04 0.00 -0.01
23 3.9320 0.00 -0.01 0.00 -0.07
24 3.9484 0.00 0.04 0.00 -0.04
25 4.9205 0.00 0.02 0.00 0.08
26 4.9205 0.00 -0.01 0.00 0.01
27 4.9205 0.00 -0.06 0.00 0.06
28 5.0132 0.00 -0.01 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.
13TA172 quality flag:2 Type: 3:2E 3:2E SCATNEAR axisobj 39.708 39.708 39.708 ecceobj 0.189 0.189 0.189 incobj 14.513 14.513 14.513 qmin 30.739 29.776 31.513 qmax 49.044 49.966 48.005 amean 39.457 39.457 39.462 amin 38.859 38.879 38.845 amax 40.112 40.124 40.099 emean 0.166 0.194 0.144 emin 0.062 0.142 0.082 emax 0.225 0.247 0.201 imean 14.159 13.703 14.127 imin 10.986 11.982 10.429 imax 16.874 15.551 16.754 excite_mean 0.297 0.307 0.284 fracstop 1.000 1.000 1.000 cjmean 2.951 2.944 2.955 libcent 0 184.1 179.9 -180.0 libamp 0 173.9 140.6 -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 128.3 165.4 179.6 kozaiamp 179.8 180.0 180.0