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: 13TB188 # Created Sun Dec 22 02:09:44 2024 # Orbit generated from Bernstein formalism # Fitting 42 observations of 43 # Arc: 4.14y # First observation: 2013/10/04 # Last observation: 2017/11/23 Preliminary a, adot, b, bdot, g, gdot: 0.000281 0.036037 -0.000040 0.004388 0.031668 0.000000 # Chi-squared of fit: 17.00 DOF: 78 RMS: 0.11 # Min/Max residuals: -0.42 0.27 # Exact a, adot, b, bdot, g, gdot: 2.044171E-05 3.590366E-02 2.394866E-06 4.408649E-03 3.088025E-02 -8.848741E-04 # Covariance matrix: 1.9727E-13 -9.5081E-14 1.7405E-15 -8.2588E-15 5.1969E-14 -4.4638E-13 -9.5081E-14 3.3429E-13 -2.1911E-14 4.6459E-14 1.9429E-13 2.7196E-12 1.7405E-15 -2.1911E-14 1.5258E-13 -5.2915E-14 -1.6498E-14 -1.8850E-13 -8.2588E-15 4.6459E-14 -5.2915E-14 2.8255E-14 2.5761E-14 4.0568E-13 5.1969E-14 1.9429E-13 -1.6498E-14 2.5761E-14 2.8233E-13 1.5828E-12 -4.4638E-13 2.7196E-12 -1.8850E-13 4.0568E-13 1.5828E-12 2.3699E-11 # lat0 lon0 xBary yBary zBary JD0 -13.675146 29.845219 0.326361 -0.223451 -0.918828 2456569.706878 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 349.70970 +/- 0.038 Argument of Peri: 311.21682 +/- 0.053 Long of Asc Node: 91.66889 +/- 0.001 Inclination: 14.92449 +/- 0.000 Eccentricity: 0.16341674 +/- 0.0001 Semi-Major Axis: 39.63490181 +/- 0.0028 Time of Perihelion: 2459165.6982 +/- 9.5 Perihelion: 33.15789540 +/- 0.0033 Aphelion: 46.11190823 +/- 0.0040 Period (y) 249.5312 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.27388321 +/- 0.0005 Ecliptic Y 15.84944400 +/- 0.0003 Ecliptic Z -7.65587295 +/- 0.0001 Ecliptic XDOT -0.00157630 +/- 0.0000 Ecliptic YDOT 0.00276773 +/- 0.0000 Ecliptic ZDOT 0.00039848 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.30510077 +/- 0.0004 Geocenter to KBO 32.38316120 +/- 0.0006 # Hcoef: 8.06
The following table shows the complete astrometric record for 13TB188. 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 (13TB188) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.20610 02 10 09.02 -01 24 26.9 23.6g 13TB188 W84 C~3clR 2013 11 04.08027 02 07 17.32 -01 39 30.7 23.3r 13TB188 W84 C~3clR 2013 11 04.14330 02 07 16.96 -01 39 32.1 13TB188 W84 C~3clR 2013 11 04.22553 02 07 16.50 -01 39 33.9 13TB188 W84 C~3clR 2013 11 08.25027 02 06 53.900 -01 40 59.10 24.2g 13TB188 W84 C~4yRE 2013 11 08.25167 02 06 53.902 -01 40 59.20 23.2r 13TB188 W84 C~4yRE 2013 11 13.17529 02 06 26.887 -01 42 29.73 22.6z 13TB188 W84 C~4yRE 2014 08 19.38618 02 20 02.375 -00 02 51.69 23.2i 13TB188 W84 C~4yRE 2014 10 01.35954 02 17 47.435 -00 25 50.74 23.1i 13TB188 W84 C~4yRE 2014 10 21.25060 02 16 01.256 -00 36 28.78 23.6r 13TB188 W84 C~4yRE 2014 12 16.13208 02 11 19.630 -00 49 06.42 23.6g 13TB188 W84 C~4yRE 2014 12 16.13344 02 11 19.602 -00 49 06.38 23.3r 13TB188 W84 C~4yRE 2014 12 16.13481 02 11 19.602 -00 49 06.27 22.7i 13TB188 W84 C~4yRE 2015 01 16.06633 02 10 26.439 -00 39 59.24 22.7r 13TB188 W84 C~4yRE 2015 01 20.04740 02 10 27.509 -00 37 59.42 22.8i 13TB188 W84 C~4yRE 2016 09 10.36303 02 33 53.602 +01 38 51.79 23.2r 13TB188 W84 C~4yRE 2016 09 10.36441 02 33 53.627 +01 38 51.64 23.5g 13TB188 W84 C~4yRE 2016 11 04.16975 02 29 26.856 +01 11 15.62 24.1g 13TB188 W84 C~4yRE 2016 11 04.17111 02 29 26.854 +01 11 15.30 22.8r 13TB188 W84 C~4yRE 2016 11 04.17248 02 29 26.839 +01 11 15.34 23.1i 13TB188 W84 C~4yRE 2016 11 04.19034 02 29 26.757 +01 11 14.85 23.8g 13TB188 W84 C~4yRE 2016 11 04.19173 02 29 26.734 +01 11 14.84 23.2r 13TB188 W84 C~4yRF 2016 11 04.19312 02 29 26.726 +01 11 14.92 22.9i 13TB188 W84 C~4yRF 2016 11 04.19864 02 29 26.690 +01 11 14.87 24.5g 13TB188 W84 C~4yRF 2016 11 04.20001 02 29 26.681 +01 11 14.65 23.0r 13TB188 W84 C~4yRF 2016 11 04.20137 02 29 26.680 +01 11 14.65 22.6i 13TB188 W84 C~4yRF 2016 11 04.20274 02 29 26.657 +01 11 14.66 23.8g 13TB188 W84 C~4yRF 2016 11 04.20412 02 29 26.658 +01 11 14.58 23.2r 13TB188 W84 C~4yRF 2016 11 04.20551 02 29 26.649 +01 11 14.59 22.8i 13TB188 W84 C~4yRF 2016 11 07.17566 02 29 09.484 +01 10 07.31 23.3z 13TB188 W84 C~4yRF 2016 11 10.15711 02 28 52.363 +01 09 04.65 22.7z 13TB188 W84 C~4yRF 2016 11 10.16381 02 28 52.324 +01 09 04.50 22.8z 13TB188 W84 C~4yRF 2016 11 10.17275 02 28 52.260 +01 09 04.48 22.7z 13TB188 W84 C~4yRF 2016 11 10.17497 02 28 52.258 +01 09 04.36 22.7z 13TB188 W84 C~4yRF 2016 11 25.11978 02 27 30.175 +01 05 06.39 23.0z 13TB188 W84 C~4yRF 2016 11 25.12200 02 27 30.177 +01 05 06.07 22.8z 13TB188 W84 C~4yRF 2017 01 26.21629 02 24 53.70 +01 16 19.0 24.3g 13TB188 T09 C~7xNr 2017 01 26.23906 02 24 53.73 +01 16 19.9 24.3g 13TB188 T09 C~7xNr 2017 01 26.25656 02 24 53.74 +01 16 20.4 24.5g 13TB188 T09 C~7xNr 2017 01 26.28735 02 24 53.76 +01 16 21.2 24.6g 13TB188 T09 C~7xNr 2017 01 26.30653 02 24 53.77 +01 16 21.9 24.5g 13TB188 T09 C~7xNr 2017 11 01.17828 02 37 10.878 +02 09 36.46 22.3z 13TB188 W84 C~4yRF 2017 11 23.15019 02 35 05.587 +02 02 27.70 23.0r 13TB188 W84 C~4yRF
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 -0.42 0.00 -0.03
2 0.0845 -2728.48 -0.06 39.84 0.03
3 0.0847 -2734.03 -0.02 40.39 0.03
4 0.0849 -2741.12 0.18 41.08 0.00
5 0.0959 -3088.64 -0.05 77.94 0.04
6 0.0959 -3088.65 0.06 77.84 -0.08
7 0.1094 -3500.18 0.03 132.50 0.09
8 0.8739 10050.72 -0.10 1520.64 0.06
9 0.9915 7670.21 0.09 925.31 0.01
10 1.0460 5953.32 0.11 876.82 0.07
11 1.1990 1725.88 0.27 1624.70 -0.18
12 1.1990 1725.50 -0.05 1624.88 -0.02
13 1.1990 1725.53 0.05 1624.99 0.05
14 1.2837 1165.96 0.09 2413.71 -0.01
15 1.2946 1222.39 ( 0.54) 2520.65 ( 0.13)
16 2.9354 23958.80 -0.16 2953.88 -0.02
17 2.9354 23959.11 0.22 2953.61 -0.28
18 3.0855 19584.14 0.01 2775.71 0.24
19 3.0855 19584.00 -0.00 2775.42 -0.06
20 3.0855 19583.80 -0.08 2775.53 0.04
21 3.0855 19582.47 0.23 2775.50 -0.15
22 3.0855 19582.14 0.03 2775.61 -0.05
23 3.0855 19582.05 0.07 2775.72 0.05
24 3.0855 19581.52 0.05 2775.86 0.15
25 3.0855 19581.32 -0.03 2775.70 -0.03
26 3.0855 19581.31 0.08 2775.71 -0.03
27 3.0855 19580.98 -0.12 2775.84 0.09
28 3.0856 19580.97 -0.01 2775.76 -0.01
29 3.0856 19580.84 -0.00 2775.81 0.04
30 3.0937 19313.66 -0.01 2801.50 -0.20
31 3.1019 19048.78 0.05 2831.32 -0.08
32 3.1019 19048.17 0.04 2831.38 -0.09
33 3.1019 19047.26 -0.07 2831.70 0.12
34 3.1019 19047.19 0.06 2831.59 -0.00
35 3.1428 17799.85 -0.12 3033.40 0.07
36 3.1428 17799.77 -0.03 3033.09 -0.28
37 3.3128 15817.39 -0.18 4478.65 0.04
38 3.3129 15818.13 0.06 4479.34 0.14
39 3.3129 15818.44 -0.01 4479.76 0.10
40 3.3130 15819.00 -0.12 4480.41 -0.06
41 3.3131 15819.39 -0.16 4481.02 0.04
42 4.0766 27425.05 0.02 3675.29 0.10
43 4.1367 25482.72 0.03 3919.57 0.05
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.
13TB188 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.850 39.858 39.843 ecceobj 0.167 0.167 0.167 incobj 14.933 14.933 14.933 qmin 32.535 32.652 32.576 qmax 46.915 46.775 46.902 amean 39.457 39.457 39.457 amin 39.025 39.008 39.031 amax 39.958 39.943 39.949 emean 0.154 0.153 0.153 emin 0.132 0.130 0.131 emax 0.175 0.173 0.174 imean 13.204 13.220 13.230 imin 12.563 12.642 12.562 imax 13.867 13.923 13.911 excite_mean 0.275 0.275 0.276 fracstop 1.000 1.000 1.000 cjmean 2.966 2.966 2.966 libcent 0 180.8 180.4 179.7 libamp 0 93.4 94.7 89.6 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 180.5 181.4 178.5 kozaiamp 179.9 180.0 180.0