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: 13TN187 # Created Sun Dec 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 8.07y # First observation: 2013/09/09 # Last observation: 2021/10/03 # Chi-squared of fit: 13.84 DOF: 46 RMS: 0.13 # Min/Max residuals: -0.38 0.48 # Exact a, adot, b, bdot, g, gdot: 1.924606E-05 3.937027E-02 4.052115E-07 1.087849E-03 3.080398E-02 1.082939E-03 # Covariance matrix: 3.7957E-13 -7.0291E-14 7.7064E-15 -7.6840E-16 2.7692E-13 -1.0046E-13 -7.0291E-14 6.8196E-14 -9.1859E-16 1.3957E-15 1.4534E-14 2.0450E-13 7.7064E-15 -9.1859E-16 1.1776E-13 -2.6681E-14 8.5948E-15 -1.5585E-15 -7.6840E-16 1.3957E-15 -2.6681E-14 1.1964E-14 7.5661E-16 5.1524E-15 2.7692E-13 1.4534E-14 8.5948E-15 7.5661E-16 3.6767E-13 1.2617E-13 -1.0046E-13 2.0450E-13 -1.5585E-15 5.1524E-15 1.2617E-13 7.5803E-13 # lat0 lon0 xBary yBary zBary JD0 -10.118721 29.102601 0.682026 -0.130314 -0.730777 2456544.871248 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 0.47631 +/- 0.002 Argument of Peri: 276.58975 +/- 0.005 Long of Asc Node: 110.06563 +/- 0.001 Inclination: 9.98289 +/- 0.000 Eccentricity: 0.37742378 +/- 0.0001 Semi-Major Axis: 53.32750714 +/- 0.0079 Time of Perihelion: 2456356.3022 +/- 0.8 Perihelion: 33.20043802 +/- 0.0066 Aphelion: 73.45457625 +/- 0.0118 Period (y) 389.4351 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.90337459 +/- 0.0006 Ecliptic Y 15.31190288 +/- 0.0003 Ecliptic Z -5.70344332 +/- 0.0001 Ecliptic XDOT -0.00161048 +/- 0.0000 Ecliptic YDOT 0.00311064 +/- 0.0000 Ecliptic ZDOT 0.00007841 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.20223579 +/- 0.0005 Geocenter to KBO 32.46334503 +/- 0.0006 # Hcoef: 7.53
The following table shows the complete astrometric record for 13TN187. 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 (13TN187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.37047 02 02 29.770 +01 40 37.96 23.5g 13TN187 W84 C~4yRD 2013 10 03.24823 02 00 47.29 +01 27 21.2 23.5g 13TN187 W84 C~3clQ 2013 10 27.13393 01 58 38.739 +01 14 47.15 23.1g 13TN187 W84 C~4yRD 2013 11 04.07535 01 57 55.11 +01 11 16.2 22.8r 13TN187 W84 C~3clQ 2013 11 04.13845 01 57 54.77 +01 11 14.5 13TN187 W84 C~3clQ 2013 11 04.22080 01 57 54.31 +01 11 12.5 13TN187 W84 C~3clQ 2013 11 08.23599 01 57 32.719 +01 09 37.34 22.8r 13TN187 W84 C~4yRD 2013 11 08.23737 01 57 32.707 +01 09 37.31 22.9i 13TN187 W84 C~4yRD 2013 11 13.14978 01 57 07.014 +01 07 52.45 22.4z 13TN187 W84 C~4yRD 2014 10 21.29309 02 07 38.88 +02 08 38.0 20.9i 13TN187 W84 C~3clQ 2014 11 17.13261 02 05 12.891 +01 57 26.65 22.4i 13TN187 W84 C~4yRD 2015 12 17.12371 02 11 29.458 +02 43 03.60 22.1i 13TN187 W84 C~4yRD 2016 01 10.05775 02 10 44.525 +02 46 31.46 22.6r 13TN187 W84 C~4yRD 2016 09 10.37926 02 27 30.547 +04 10 02.25 22.9i 13TN187 W84 C~4yRD 2016 09 10.38063 02 27 30.543 +04 10 02.22 22.8r 13TN187 W84 C~4yRD 2016 09 10.39173 02 27 30.508 +04 10 01.90 22.4z 13TN187 W84 C~4yRD 2016 10 21.24431 02 24 27.220 +03 49 08.49 22.9z 13TN187 W84 C~4yRD 2016 10 29.20473 02 23 42.887 +03 45 22.04 22.9i 13TN187 W84 C~4yRD 2016 10 29.20610 02 23 42.877 +03 45 21.98 22.8r 13TN187 W84 C~4yRD 2016 11 03.18863 02 23 14.914 +03 43 10.07 23.1g 13TN187 W84 C~4yRD 2016 11 03.23533 02 23 14.645 +03 43 09.04 22.5z 13TN187 W84 C~4yRD 2016 11 05.23034 02 23 03.466 +03 42 18.75 22.2i 13TN187 W84 C~4yRD 2016 11 05.23173 02 23 03.479 +03 42 18.73 23.1g 13TN187 W84 C~4yRD 2021 10 03.423620 03 07 43.589 +07 58 51.67 22.9G 13TN187 G37 C~55Nu 2021 10 03.456120 03 07 43.464 +07 58 50.24 13TN187 G37 C~55Nu 2021 10 03.489470 03 07 43.312 +07 58 49.37 13TN187 G37 C~55Nu
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 0.18 0.00 0.10
2 0.0654 0.00 0.05 0.00 0.02
3 0.1308 0.00 -0.38 0.00 0.21
4 0.1525 0.00 -0.04 0.00 0.07
5 0.1527 0.00 0.09 0.00 -0.07
6 0.1529 0.00 0.02 0.00 -0.03
7 0.1639 0.00 0.04 0.00 -0.02
8 0.1639 0.00 -0.03 0.00 -0.01
9 0.1774 0.00 -0.10 0.00 0.04
10 1.1141 0.00 -0.07 0.00 0.27
11 1.1876 0.00 0.03 0.00 -0.06
12 2.2690 0.00 0.02 0.00 0.06
13 2.3345 0.00 0.06 0.00 0.04
14 3.0034 0.00 -0.03 0.00 -0.06
15 3.0035 0.00 -0.03 0.00 -0.05
16 3.0035 0.00 -0.04 0.00 -0.05
17 3.1153 0.00 0.19 0.00 -0.23
18 3.1371 0.00 0.03 0.00 -0.04
19 3.1371 0.00 -0.01 0.00 -0.07
20 3.1508 0.00 0.10 0.00 -0.15
21 3.1509 0.00 0.06 0.00 0.01
22 3.1564 0.00 -0.14 0.00 -0.12
23 3.1564 0.00 0.17 0.00 -0.10
24 8.0659 0.00 -0.09 0.00 0.48
25 8.0659 0.00 0.08 0.00 -0.10
26 8.0660 0.00 -0.09 0.00 -0.09
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.
13TN187 quality flag:3 Type: 7:3EEEE 7:3EEEE 7:3EEEE axisobj 53.758 53.758 53.758 ecceobj 0.382 0.382 0.382 incobj 9.986 9.986 9.986 qmin 32.443 32.455 32.458 qmax 74.561 74.568 74.753 amean 52.969 52.969 52.969 amin 52.276 52.280 52.275 amax 53.839 53.839 53.859 emean 0.374 0.374 0.374 emin 0.361 0.362 0.362 emax 0.387 0.387 0.388 imean 7.917 7.913 7.933 imin 7.413 7.405 7.416 imax 8.429 8.429 8.481 excite_mean 0.399 0.399 0.399 fracstop 1.000 1.000 1.000 cjmean 3.004 3.004 3.005 libcent 0 180.6 180.2 180.3 libamp 0 95.2 95.1 95.1 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 174.1 175.1 170.5 kozaiamp 180.0 180.0 179.9