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: 13TD188 # Created Fri Apr 19 01:15:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 6.83y # First observation: 2013/10/13 # Last observation: 2020/08/12 # Chi-squared of fit: 13.54 DOF: 50 RMS: 0.12 # Min/Max residuals: -0.27 0.27 # Exact a, adot, b, bdot, g, gdot: 1.288780E-05 1.884310E-02 1.112003E-06 1.319955E-03 2.156602E-02 2.083750E-04 # Covariance matrix: 1.5509E-13 -5.0924E-14 -1.0317E-15 -4.3631E-16 1.2789E-13 -7.6434E-14 -5.0924E-14 7.1108E-14 -1.4876E-15 3.8490E-15 -4.8271E-15 5.1737E-13 -1.0317E-15 -1.4876E-15 9.9598E-14 -2.2358E-14 -5.0793E-15 -1.9703E-14 -4.3631E-16 3.8490E-15 -2.2358E-14 1.0850E-14 3.8498E-15 3.8480E-14 1.2789E-13 -4.8271E-15 -5.0793E-15 3.8498E-15 3.7618E-13 4.6427E-13 -7.6434E-14 5.1737E-13 -1.9703E-14 3.8480E-14 4.6427E-13 5.1008E-12 # lat0 lon0 xBary yBary zBary JD0 -2.261206 5.959631 -0.235040 -0.038133 -0.968589 2456578.602568 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 169.76194 +/- 0.080 Argument of Peri: 159.82122 +/- 0.076 Long of Asc Node: 35.07508 +/- 0.002 Inclination: 4.58605 +/- 0.000 Eccentricity: 0.08172463 +/- 0.0001 Semi-Major Axis: 43.80687388 +/- 0.0045 Time of Perihelion: 2406638.3717 +/- 24.9 Perihelion: 40.22677335 +/- 0.0056 Aphelion: 47.38697441 +/- 0.0061 Period (y) 289.9490 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 47.02186894 +/- 0.0013 Ecliptic Y 5.14810116 +/- 0.0001 Ecliptic Z -1.82948944 +/- 0.0001 Ecliptic XDOT -0.00022168 +/- 0.0000 Ecliptic YDOT 0.00238123 +/- 0.0000 Ecliptic ZDOT 0.00016654 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.33820147 +/- 0.0013 Geocenter to KBO 46.36928383 +/- 0.0013 # Hcoef: 6.80
The following table shows the complete astrometric record for 13TD188. 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 (13TD188) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.10179 00 25 27.875 +00 17 25.49 23.2z 13TD188 W84 C~4yRF 2013 10 13.11209 00 25 27.833 +00 17 25.20 22.8i 13TD188 W84 C~4yRF 2013 10 13.11209 00 25 27.83 +00 17 25.2 23.0i 13TD188 W84 C~3clR 2013 10 28.07505 00 24 31.903 +00 11 54.48 24.1r 13TD188 W84 C~4yRF 2013 10 28.07505 00 24 31.90 +00 11 54.5 24.1r 13TD188 W84 C~3clR 2013 11 22.08391 00 23 20.071 +00 05 25.01 24.4g 13TD188 W84 C~4yRF 2013 11 22.09533 00 23 20.056 +00 05 24.89 23.5r 13TD188 W84 C~4yRF 2013 11 22.09533 00 23 20.05 +00 05 24.9 23.7r 13TD188 W84 C~3clR 2013 11 22.09673 00 23 20.040 +00 05 24.74 23.1i 13TD188 W84 C~4yRF 2013 11 22.09673 00 23 20.04 +00 05 24.7 23.1i 13TD188 W84 C~3clR 2013 11 23.10780 00 23 17.927 +00 05 14.66 24.1r 13TD188 W84 C~4yRF 2013 11 23.10780 00 23 17.92 +00 05 14.8 23.9r 13TD188 W84 C~3clR 2013 11 23.10919 00 23 17.930 +00 05 14.57 23.3i 13TD188 W84 C~4yRF 2013 11 23.10919 00 23 17.93 +00 05 14.6 23.5i 13TD188 W84 C~3clR 2016 09 09.31225 00 39 11.425 +02 00 22.83 23.4r 13TD188 W84 C~4yRF 2016 09 09.31362 00 39 11.421 +02 00 22.81 23.1i 13TD188 W84 C~4yRF 2016 09 09.31362 00 39 11.42 +02 00 22.8 23.1i 13TD188 W84 C~3clR 2016 09 10.31583 00 39 07.733 +01 59 58.78 23.0z 13TD188 W84 C~4yRF 2016 11 18.11310 00 34 54.377 +01 34 37.69 23.3r 13TD188 W84 C~4yRF 2016 11 25.06213 00 34 37.944 +01 33 13.87 23.8r 13TD188 W84 C~4yRF 2016 11 25.06213 00 34 37.94 +01 33 13.9 24.1r 13TD188 W84 C~3clR 2017 08 22.32596 00 44 00.440 +02 36 24.05 24.3r 13TD188 W84 C~4yRF 2017 10 27.14788 00 39 54.349 +02 10 45.73 22.7z 13TD188 W84 C~4yRF 2018 09 09.24289 00 46 53.360 +02 59 39.50 22.7z 13TD188 W84 C~4yRF 2018 10 18.19480 00 44 19.741 +02 43 48.12 23.1i 13TD188 W84 C~4yRF 2018 10 18.19616 00 44 19.763 +02 43 48.02 23.0z 13TD188 W84 C~4yRF 2020 08 12.384400 00 55 51.942 +04 06 57.18 23.3G 13TD188 G37 C~441d 2020 08 12.454410 00 55 51.808 +04 06 56.43 13TD188 G37 C~441d
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 0.19 0.00 0.05
2 0.0000 0.00 0.17 0.00 0.00
3 0.0000 0.00 0.13 0.00 0.00
4 0.0410 0.00 -0.22 0.00 -0.07
5 0.0410 0.00 -0.18 0.00 -0.09
6 0.1095 0.00 -0.10 0.00 0.03
7 0.1095 0.00 -0.03 0.00 0.04
8 0.1095 0.00 0.06 0.00 0.03
9 0.1095 0.00 -0.14 0.00 -0.15
10 0.1095 0.00 -0.14 0.00 -0.11
11 0.1123 0.00 -0.04 0.00 0.18
12 0.1123 0.00 0.06 0.00 0.04
13 0.1123 0.00 0.15 0.00 -0.01
14 0.1123 0.00 0.15 0.00 -0.04
15 2.9082 0.00 0.02 0.00 0.11
16 2.9082 0.00 0.03 0.00 0.11
17 2.9082 0.00 0.04 0.00 0.12
18 2.9109 0.00 -0.04 0.00 -0.13
19 3.0993 0.00 0.27 0.00 0.02
20 3.1183 0.00 -0.11 0.00 -0.11
21 3.1183 0.00 -0.05 0.00 -0.14
22 3.8582 0.00 -0.27 0.00 -0.08
23 4.0385 0.00 -0.01 0.00 0.17
24 4.9066 0.00 0.06 0.00 0.07
25 5.0133 0.00 -0.22 0.00 0.13
26 5.0133 0.00 0.19 0.00 0.07
27 6.8317 0.00 -0.04 0.00 -0.22
28 6.8319 0.00 0.15 0.00 -0.00
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.
13TD188 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.046 44.046 44.046 ecceobj 0.076 0.076 0.076 incobj 4.576 4.576 4.576 qmin 39.349 39.352 39.340 qmax 48.665 48.642 48.663 amean 43.841 43.841 43.841 amin 43.480 43.489 43.481 amax 44.219 44.215 44.222 emean 0.081 0.081 0.081 emin 0.062 0.063 0.062 emax 0.101 0.100 0.100 imean 3.796 3.796 3.796 imin 2.962 2.961 2.962 imax 4.560 4.562 4.562 excite_mean 0.104 0.104 0.104 fracstop 1.000 1.000 1.000 cjmean 3.086 3.086 3.086 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 182.1 182.1 182.1 kozaiamp 179.9 180.0 179.9