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: 13TF188 # Created Thu Aug 28 01:09:47 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 7.02y # First observation: 2013/10/13 # Last observation: 2020/10/20 # Chi-squared of fit: 8.20 DOF: 36 RMS: 0.11 # Min/Max residuals: -0.40 0.26 # Exact a, adot, b, bdot, g, gdot: 1.582356E-05 2.488125E-02 -2.987996E-06 -4.645656E-03 2.493110E-02 -4.164818E-03 # Covariance matrix: 3.6467E-13 -1.6580E-13 -2.2735E-14 2.1211E-14 1.3538E-13 -6.3806E-13 -1.6580E-13 1.2863E-13 2.1435E-14 -2.1081E-14 -1.9835E-14 6.3989E-13 -2.2735E-14 2.1435E-14 2.1629E-13 -4.8618E-14 -4.2764E-15 1.1929E-13 2.1211E-14 -2.1081E-14 -4.8618E-14 1.7743E-14 -1.1344E-15 -1.1904E-13 1.3538E-13 -1.9835E-14 -4.2764E-15 -1.1344E-15 5.3538E-13 6.1254E-14 -6.3806E-13 6.3989E-13 1.1929E-13 -1.1904E-13 6.1254E-14 3.6220E-12 # lat0 lon0 xBary yBary zBary JD0 -2.686924 5.237430 -0.247027 -0.045190 -0.965299 2456578.589948 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 311.81177 +/- 0.020 Argument of Peri: 260.90910 +/- 0.030 Long of Asc Node: 171.77117 +/- 0.000 Inclination: 10.86367 +/- 0.000 Eccentricity: 0.18793017 +/- 0.0001 Semi-Major Axis: 45.72595204 +/- 0.0064 Time of Perihelion: 2471696.0369 +/- 21.5 Perihelion: 37.13266594 +/- 0.0064 Aphelion: 54.31923815 +/- 0.0085 Period (y) 309.2092 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.83837738 +/- 0.0012 Ecliptic Y 3.99465749 +/- 0.0001 Ecliptic Z -1.88047019 +/- 0.0001 Ecliptic XDOT -0.00073436 +/- 0.0000 Ecliptic YDOT 0.00267564 +/- 0.0000 Ecliptic ZDOT -0.00048803 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.07645326 +/- 0.0012 Geocenter to KBO 40.11068445 +/- 0.0012 # Hcoef: 7.35
The following table shows the complete astrometric record for 13TF188. 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 (13TF188) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.08917 00 23 29.303 -00 23 10.18 23.1z 13TF188 W84 C~4yRF 2013 10 13.11349 00 23 29.20 -00 23 10.8 23.0i 13TF188 W84 C~3clR 2013 11 23.09694 00 21 08.461 -00 38 31.60 23.6r 13TF188 W84 C~4yRF 2013 11 23.09831 00 21 08.454 -00 38 31.66 23.6i 13TF188 W84 C~4yRF 2014 11 13.06664 00 27 12.479 -00 16 45.06 23.5r 13TF188 W84 C~4yRF 2014 11 13.06801 00 27 12.456 -00 16 45.18 22.9i 13TF188 W84 C~4yRF 2016 09 08.33033 00 43 10.426 +00 53 09.75 23.1i 13TF188 W84 C~4yRF 2016 09 08.33171 00 43 10.426 +00 53 09.79 23.7r 13TF188 W84 C~4yRF 2016 09 09.32049 00 43 06.459 +00 52 39.38 23.1z 13TF188 W84 C~4yRF 2016 10 23.13407 00 39 53.684 +00 30 00.07 23.4r 13TF188 W84 C~4yRF 2016 10 23.13543 00 39 53.667 +00 30 00.11 23.7g 13TF188 W84 C~4yRF 2016 11 06.18215 00 38 58.092 +00 24 04.03 23.4i 13TF188 W84 C~4yRF 2016 11 18.11448 00 38 19.161 +00 20 07.68 23.1i 13TF188 W84 C~4yRF 2016 11 25.06213 00 38 00.953 +00 18 23.14 23.4r 13TF188 W84 C~4yRF 2017 10 20.20967 00 45 55.361 +00 51 07.12 23.1z 13TF188 W84 C~4yRF 2017 10 22.16485 00 45 46.836 +00 50 11.12 22.6z 13TF188 W84 C~4yRF 2019 09 27.34230 00 59 27.55 +01 42 57.0 23.9g 13TF188 T09 C~91Tn 2019 09 27.52719 00 59 26.72 +01 42 51.1 23.9g 13TF188 T09 C~91Tn 2019 09 27.59678 00 59 26.41 +01 42 48.8 24.0g 13TF188 T09 C~91Tn 2020 10 20.184200 01 03 37.352 +01 50 42.88 23.3G 13TF188 G37 C~4Kw0 2020 10 20.237250 01 03 37.102 +01 50 41.34 13TF188 G37 C~4Kw0
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 -0.01 0.00 0.00
2 0.0001 0.00 0.05 0.00 0.11
3 0.1123 0.00 0.00 0.00 -0.00
4 0.1123 0.00 -0.06 0.00 -0.05
5 1.0841 0.00 0.10 0.00 0.05
6 1.0841 0.00 -0.18 0.00 -0.05
7 2.9055 0.00 0.06 0.00 -0.03
8 2.9055 0.00 0.15 0.00 0.05
9 2.9082 0.00 0.06 0.00 -0.03
10 3.0282 0.00 0.14 0.00 -0.04
11 3.0282 0.00 -0.03 0.00 0.03
12 3.0666 0.00 -0.02 0.00 -0.01
13 3.0993 0.00 -0.09 0.00 -0.00
14 3.1183 0.00 0.07 0.00 -0.14
15 4.0195 0.00 -0.03 0.00 0.02
16 4.0248 0.00 0.13 0.00 0.11
17 5.9555 0.00 -0.40 0.00 0.00
18 5.9560 0.00 -0.20 0.00 0.04
19 5.9562 0.00 -0.10 0.00 -0.03
20 7.0201 0.00 0.26 0.00 -0.01
21 7.0203 0.00 0.18 0.00 0.01
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.
13TF188 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.996 45.996 45.996 ecceobj 0.189 0.189 0.189 incobj 10.829 10.829 10.829 qmin 36.208 36.214 36.200 qmax 55.552 55.590 55.638 amean 45.695 45.695 45.699 amin 45.306 45.296 45.306 amax 46.161 46.179 46.156 emean 0.189 0.189 0.189 emin 0.173 0.174 0.173 emax 0.205 0.205 0.206 imean 10.930 10.935 10.945 imin 10.184 10.184 10.184 imax 11.762 11.780 11.801 excite_mean 0.268 0.268 0.268 fracstop 1.000 1.000 1.000 cjmean 3.034 3.034 3.034 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 186.7 186.4 186.5 kozaiamp 180.0 180.0 180.0