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 Fri Apr 26 01:15:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 7.02y # First observation: 2013/10/13 # Last observation: 2020/10/20 # Chi-squared of fit: 3.08 DOF: 42 RMS: 0.06 # Min/Max residuals: -0.16 0.14 # Exact a, adot, b, bdot, g, gdot: 1.596917E-05 2.488117E-02 -2.911977E-06 -4.645685E-03 2.493146E-02 -4.165926E-03 # Covariance matrix: 2.5575E-13 -1.0977E-13 -1.2897E-14 1.2780E-14 1.2805E-13 -4.2438E-13 -1.0977E-13 9.1252E-14 1.3022E-14 -1.4369E-14 -3.9085E-15 4.8130E-13 -1.2897E-14 1.3022E-14 1.6043E-13 -4.1590E-14 -3.5706E-15 8.2274E-14 1.2780E-14 -1.4369E-14 -4.1590E-14 1.8353E-14 -1.7714E-15 -9.1935E-14 1.2805E-13 -3.9085E-15 -3.5706E-15 -1.7714E-15 4.8969E-13 7.3864E-14 -4.2438E-13 4.8130E-13 8.2274E-14 -9.1935E-14 7.3864E-14 3.0824E-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: 311.79748 +/- 0.019 Argument of Peri: 260.92811 +/- 0.028 Long of Asc Node: 171.77133 +/- 0.000 Inclination: 10.86375 +/- 0.000 Eccentricity: 0.18794569 +/- 0.0001 Semi-Major Axis: 45.72338761 +/- 0.0061 Time of Perihelion: 2471699.2486 +/- 20.3 Perihelion: 37.12987381 +/- 0.0061 Aphelion: 54.31690141 +/- 0.0080 Period (y) 309.1831 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.83780432 +/- 0.0011 Ecliptic Y 3.99461082 +/- 0.0001 Ecliptic Z -1.88044015 +/- 0.0001 Ecliptic XDOT -0.00073447 +/- 0.0000 Ecliptic YDOT 0.00267558 +/- 0.0000 Ecliptic ZDOT -0.00048802 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.07587764 +/- 0.0011 Geocenter to KBO 40.11010877 +/- 0.0011 # Hcoef: 7.32
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 29.196 -00 23 10.81 22.9i 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 23.09694 00 21 08.46 -00 38 31.6 23.5r 13TF188 W84 C~3clR 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 13.06664 00 27 12.48 -00 16 45.1 23.5r 13TF188 W84 C~3clR 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 10 23.13543 00 39 53.67 +00 30 00.1 23.9g 13TF188 W84 C~3clR 2016 11 06.18215 00 38 58.092 +00 24 04.03 23.4i 13TF188 W84 C~4yRF 2016 11 06.18215 00 38 58.09 +00 24 04.1 23.5i 13TF188 W84 C~3clR 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 2016 11 25.06213 00 38 00.95 +00 18 23.2 23.3r 13TF188 W84 C~3clR 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 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 -0.03 0.00 -0.02
2 0.0001 0.00 -0.03 0.00 0.07
3 0.0001 0.00 0.03 0.00 0.08
4 0.1123 0.00 0.00 0.00 -0.01
5 0.1123 0.00 0.02 0.00 -0.01
6 0.1123 0.00 -0.04 0.00 -0.06
7 1.0841 0.00 0.12 0.00 0.05
8 1.0841 0.00 0.14 0.00 0.01
9 1.0841 0.00 -0.16 0.00 -0.05
10 2.9055 0.00 -0.02 0.00 -0.06
11 2.9055 0.00 0.06 0.00 0.03
12 2.9082 0.00 -0.02 0.00 -0.05
13 3.0282 0.00 0.12 0.00 -0.04
14 3.0282 0.00 -0.00 0.00 0.03
15 3.0282 0.00 -0.05 0.00 0.04
16 3.0666 0.00 -0.06 0.00 0.07
17 3.0666 0.00 -0.03 0.00 0.00
18 3.0993 0.00 -0.08 0.00 0.01
19 3.1183 0.00 0.04 0.00 -0.06
20 3.1183 0.00 0.09 0.00 -0.12
21 4.0195 0.00 -0.08 0.00 0.02
22 4.0248 0.00 0.08 0.00 0.12
23 7.0201 0.00 0.04 0.00 -0.01
24 7.0203 0.00 -0.04 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 45.994 45.993 45.994 ecceobj 0.189 0.189 0.189 incobj 10.829 10.829 10.829 qmin 36.203 36.222 36.184 qmax 55.617 55.562 55.652 amean 45.689 45.690 45.693 amin 45.288 45.285 45.301 amax 46.175 46.171 46.167 emean 0.189 0.189 0.189 emin 0.174 0.173 0.174 emax 0.206 0.205 0.206 imean 10.936 10.939 10.931 imin 10.181 10.181 10.181 imax 11.767 11.765 11.754 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 186.8 186.8 186.7 kozaiamp 179.8 180.0 180.0