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: 13TE188 # Created Fri Nov 22 02:09:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 5.16y # First observation: 2013/10/03 # Last observation: 2018/11/29 # Chi-squared of fit: 23.02 DOF: 72 RMS: 0.14 # Min/Max residuals: -0.34 0.32 # Exact a, adot, b, bdot, g, gdot: 1.878709E-05 4.221768E-02 -9.554361E-07 5.207408E-04 3.366803E-02 -2.235661E-03 # Covariance matrix: 2.8894E-13 -1.8632E-13 2.0467E-15 -1.9308E-15 -6.1775E-14 -6.5337E-13 -1.8632E-13 1.9702E-13 -3.0625E-15 2.5181E-15 1.0714E-13 8.8016E-13 2.0467E-15 -3.0625E-15 1.9124E-13 -5.6637E-14 -3.4096E-15 -1.4796E-14 -1.9308E-15 2.5181E-15 -5.6637E-14 2.0827E-14 9.5389E-16 1.2762E-14 -6.1775E-14 1.0714E-13 -3.4096E-15 9.5389E-16 1.9258E-13 4.9399E-13 -6.5337E-13 8.8016E-13 -1.4796E-14 1.2762E-14 4.9399E-13 4.4092E-12 # lat0 lon0 xBary yBary zBary JD0 -9.651521 24.120389 0.248281 -0.162424 -0.955691 2456568.642258 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 348.39548 +/- 0.009 Argument of Peri: 292.93151 +/- 0.014 Long of Asc Node: 109.76491 +/- 0.001 Inclination: 9.36860 +/- 0.000 Eccentricity: 0.23398946 +/- 0.0000 Semi-Major Axis: 39.60736414 +/- 0.0025 Time of Perihelion: 2459503.3564 +/- 8.7 Perihelion: 30.33965857 +/- 0.0026 Aphelion: 48.87506971 +/- 0.0036 Period (y) 249.2712 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.71032295 +/- 0.0003 Ecliptic Y 12.13847702 +/- 0.0002 Ecliptic Z -4.97970873 +/- 0.0001 Ecliptic XDOT -0.00156622 +/- 0.0000 Ecliptic YDOT 0.00306165 +/- 0.0000 Ecliptic ZDOT 0.00007237 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.65949077 +/- 0.0003 Geocenter to KBO 29.70183059 +/- 0.0004 # Hcoef: 8.12
The following table shows the complete astrometric record for 13TE188. 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 (13TE188) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.14148 01 43 28.719 +00 22 06.74 23.2g 13TE188 W84 C~4yRF 2013 10 03.14148 01 43 28.72 +00 22 06.7 23.4g 13TE188 W84 C~3clR 2013 10 04.20181 01 43 22.700 +00 21 26.52 23.6g 13TE188 W84 C~4yRF 2013 10 04.20181 01 43 22.70 +00 21 26.5 23.8g 13TE188 W84 C~3clR 2014 08 18.36275 01 55 25.329 +01 42 38.44 22.7z 13TE188 W84 C~4yRF 2014 10 03.32907 01 52 28.72 +01 16 32.6 22.9r 13TE188 W84 C~3clR 2014 10 23.27656 01 50 31.490 +01 04 48.81 22.8r 13TE188 W84 C~4yRF 2014 10 23.27656 01 50 31.49 +01 04 48.8 22.8r 13TE188 W84 C~3clR 2015 11 02.14253 01 58 35.587 +01 54 25.14 22.9r 13TE188 W84 C~4yRF 2015 11 18.18112 01 57 03.190 +01 47 51.54 23.2r 13TE188 W84 C~4yRF 2015 12 29.13369 01 54 31.296 +01 44 33.96 22.7i 13TE188 W84 C~4yRF 2015 12 29.13369 01 54 31.30 +01 44 34.0 23.1i 13TE188 W84 C~3clR 2016 09 09.29911 02 12 21.572 +03 18 59.48 22.5r 13TE188 W84 C~4yRF 2016 09 09.29911 02 12 21.57 +03 18 59.5 22.7r 13TE188 W84 C~3clR 2016 09 09.30049 02 12 21.554 +03 18 59.50 22.6i 13TE188 W84 C~4yRF 2016 09 09.30049 02 12 21.55 +03 18 59.5 22.5i 13TE188 W84 C~3clR 2016 09 09.30187 02 12 21.576 +03 18 59.45 23.0g 13TE188 W84 C~4yRF 2016 09 09.30187 02 12 21.57 +03 18 59.4 23.2g 13TE188 W84 C~3clR 2016 09 09.40159 02 12 21.202 +03 18 55.98 23.1i 13TE188 W84 C~4yRF 2016 09 10.38477 02 12 17.648 +03 18 24.21 22.7z 13TE188 W84 C~4yRF 2016 10 22.23205 02 08 41.847 +02 54 08.75 21.7z 13TE188 W84 C~4yRF 2016 10 28.23296 02 08 05.198 +02 50 58.73 23.3r 13TE188 W84 C~4yRF 2016 10 28.23296 02 08 05.20 +02 50 58.7 23.4r 13TE188 W84 C~3clR 2016 10 28.23436 02 08 05.184 +02 50 58.55 22.8i 13TE188 W84 C~4yRF 2016 10 28.23436 02 08 05.18 +02 50 58.5 22.7i 13TE188 W84 C~3clR 2016 11 03.18588 02 07 28.933 +02 48 03.46 23.8g 13TE188 W84 C~4yRF 2016 11 27.12462 02 05 14.359 +02 39 24.21 23.4r 13TE188 W84 C~4yRF 2016 11 27.12462 02 05 14.36 +02 39 24.2 23.3r 13TE188 W84 C~3clR 2016 11 27.12599 02 05 14.359 +02 39 24.28 22.9i 13TE188 W84 C~4yRF 2016 11 27.12599 02 05 14.36 +02 39 24.3 22.8i 13TE188 W84 C~3clR 2016 11 28.12309 02 05 09.432 +02 39 10.59 24.3g 13TE188 W84 C~4yRF 2017 08 27.41367 02 21 58.366 +04 19 01.04 22.4i 13TE188 W84 C~4yRF 2017 09 18.31069 02 20 51.110 +04 08 01.01 22.9r 13TE188 W84 C~4yRF 2017 09 18.32114 02 20 51.071 +04 08 00.72 23.0g 13TE188 W84 C~4yRF 2017 10 22.22461 02 17 50.542 +03 48 40.59 21.9z 13TE188 W84 C~4yRF 2017 10 29.24143 02 17 07.511 +03 44 59.60 22.8z 13TE188 W84 C~4yRF 2018 09 09.29688 02 30 29.946 +05 06 24.08 22.7z 13TE188 W84 C~4yRF 2018 11 29.17340 02 23 16.073 +04 27 13.01 22.8r 13TE188 W84 C~4yRF 2018 11 29.17477 02 23 16.068 +04 27 13.01 23.5g 13TE188 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 0.11 0.00 0.31
2 0.0000 0.00 0.13 0.00 0.27
3 0.0029 0.00 -0.11 0.00 -0.16
4 0.0029 0.00 -0.11 0.00 -0.18
5 0.8740 0.00 -0.05 0.00 -0.10
6 0.9998 0.00 -0.04 0.00 -0.10
7 1.0544 0.00 -0.05 0.00 -0.01
8 1.0544 0.00 -0.05 0.00 -0.00
9 2.0808 0.00 0.15 0.00 0.32
10 2.1247 0.00 0.04 0.00 -0.30
11 2.2368 0.00 0.03 0.00 0.08
12 2.2368 0.00 -0.03 0.00 0.04
13 2.9354 0.00 0.06 0.00 0.01
14 2.9354 0.00 0.09 0.00 -0.01
15 2.9354 0.00 -0.11 0.00 0.05
16 2.9354 0.00 -0.17 0.00 0.05
17 2.9354 0.00 0.21 0.00 -0.00
18 2.9354 0.00 0.30 0.00 0.05
19 2.9357 0.00 0.14 0.00 -0.18
20 2.9384 0.00 -0.21 0.00 0.17
21 3.0530 0.00 -0.06 0.00 -0.34
22 3.0694 0.00 0.04 0.00 -0.06
23 3.0694 0.00 0.01 0.00 -0.03
24 3.0694 0.00 -0.13 0.00 -0.22
25 3.0694 0.00 -0.07 0.00 -0.17
26 3.0857 0.00 0.28 0.00 0.13
27 3.1512 0.00 -0.03 0.00 -0.04
28 3.1512 0.00 -0.05 0.00 -0.03
29 3.1512 0.00 0.07 0.00 0.08
30 3.1512 0.00 0.06 0.00 0.06
31 3.1540 0.00 -0.13 0.00 0.23
32 3.8994 0.00 -0.16 0.00 0.03
33 3.9594 0.00 0.01 0.00 -0.18
34 3.9594 0.00 0.09 0.00 -0.12
35 4.0522 0.00 0.10 0.00 0.21
36 4.0715 0.00 -0.07 0.00 0.08
37 4.9340 0.00 0.00 0.00 0.10
38 5.1555 0.00 -0.04 0.00 0.02
39 5.1555 0.00 -0.00 0.00 0.04
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.
13TE188 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.829 39.829 39.830 ecceobj 0.237 0.237 0.237 incobj 9.371 9.371 9.371 qmin 28.832 28.837 28.835 qmax 50.612 50.576 50.603 amean 39.455 39.455 39.455 amin 38.983 38.976 38.984 amax 40.014 39.994 40.010 emean 0.243 0.243 0.243 emin 0.208 0.208 0.208 emax 0.267 0.268 0.267 imean 5.169 5.163 5.174 imin 3.307 3.302 3.309 imax 8.030 8.030 8.030 excite_mean 0.261 0.261 0.261 fracstop 1.000 1.000 1.000 cjmean 2.974 2.974 2.974 libcent 0 180.0 180.3 180.5 libamp 0 86.5 86.2 86.5 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 262.4 262.2 262.5 kozaiamp 76.2 76.4 76.2