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: 13TU187 # Created Sun Dec 22 02:09:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 34 observations of 34 # Arc: 5.21y # First observation: 2013/09/12 # Last observation: 2018/11/29 # Chi-squared of fit: 17.34 DOF: 62 RMS: 0.13 # Min/Max residuals: -0.34 0.33 # Exact a, adot, b, bdot, g, gdot: 1.764930E-05 3.619870E-02 2.984576E-06 4.874239E-03 3.102930E-02 1.374354E-03 # Covariance matrix: 3.0978E-13 -8.5995E-15 -1.2727E-14 7.3877E-15 1.7454E-13 2.4817E-13 -8.5995E-15 1.3299E-13 -1.4099E-14 2.0140E-14 1.0042E-13 8.2454E-13 -1.2727E-14 -1.4099E-14 1.4124E-13 -3.8564E-14 -2.0609E-14 -1.0089E-13 7.3877E-15 2.0140E-14 -3.8564E-14 1.7216E-14 1.9501E-14 1.4028E-13 1.7454E-13 1.0042E-13 -2.0609E-14 1.9501E-14 2.2404E-13 7.4838E-13 2.4817E-13 8.2454E-13 -1.0089E-13 1.4028E-13 7.4838E-13 5.7235E-12 # lat0 lon0 xBary yBary zBary JD0 -13.267971 25.596786 0.593846 -0.186584 -0.791748 2456547.896328 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 5.47466 +/- 0.019 Argument of Peri: 291.54715 +/- 0.027 Long of Asc Node: 84.46201 +/- 0.001 Inclination: 14.87242 +/- 0.000 Eccentricity: 0.16276279 +/- 0.0000 Semi-Major Axis: 39.39657197 +/- 0.0025 Time of Perihelion: 2455174.9607 +/- 4.8 Perihelion: 32.98427590 +/- 0.0026 Aphelion: 45.80886805 +/- 0.0033 Period (y) 247.2839 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.27850116 +/- 0.0004 Ecliptic Y 13.37066222 +/- 0.0002 Ecliptic Z -7.39635430 +/- 0.0001 Ecliptic XDOT -0.00119062 +/- 0.0000 Ecliptic YDOT 0.00297296 +/- 0.0000 Ecliptic ZDOT 0.00039090 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.02590732 +/- 0.0004 Geocenter to KBO 32.22760526 +/- 0.0005 # Hcoef: 7.70
The following table shows the complete astrometric record for 13TU187. 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 (13TU187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.39555 01 54 06.028 -02 28 54.24 23.3g 13TU187 W84 C~4yRE 2013 10 03.29691 01 52 27.21 -02 41 18.6 23.8g 13TU187 W84 C~3clQ 2013 10 26.15096 01 50 19.032 -02 53 04.40 23.7g 13TU187 W84 C~4yRE 2013 12 01.17860 01 47 14.683 -03 01 54.34 23.4g 13TU187 W84 C~4yRE 2013 12 01.18139 01 47 14.674 -03 01 54.37 22.6i 13TU187 W84 C~4yRE 2013 12 20.12539 01 46 13.947 -03 00 00.12 23.0i 13TU187 W84 C~4yRE 2013 12 20.12679 01 46 13.936 -03 00 00.08 22.4z 13TU187 W84 C~4yRE 2013 12 28.10713 01 45 59.270 -02 57 45.84 22.9r 13TU187 W84 C~4yRE 2013 12 28.10852 01 45 59.263 -02 57 45.70 23.0i 13TU187 W84 C~4yRE 2014 08 18.37835 02 02 34.724 -01 15 15.59 21.1i 13TU187 W84 C~4yRE 2014 12 25.09950 01 53 19.440 -01 59 27.99 23.1r 13TU187 W84 C~4yRE 2014 12 26.06520 01 53 17.599 -01 59 12.38 22.2z 13TU187 W84 C~4yRE 2014 12 26.06658 01 53 17.580 -01 59 12.32 22.6i 13TU187 W84 C~4yRE 2016 09 09.39746 02 16 10.632 +00 32 54.08 22.4i 13TU187 W84 C~4yRE 2016 11 07.17116 02 11 12.777 +00 03 23.70 22.5z 13TU187 W84 C~4yRE 2016 12 23.21536 02 07 49.25 -00 01 01.6 22.6z 13TU187 T09 C~7ufq 2016 12 23.23789 02 07 49.21 -00 01 01.3 23.2z 13TU187 T09 C~7ufq 2016 12 23.25705 02 07 49.14 -00 01 01.2 23.6z 13TU187 T09 C~7xNr 2016 12 23.27627 02 07 49.08 -00 01 00.7 22.6z 13TU187 T09 C~7ufq 2016 12 23.27895 02 07 49.08 -00 01 00.7 22.8z 13TU187 T09 C~7ufq 2016 12 23.38822 02 07 48.82 -00 00 59.8 23.0z 13TU187 T09 C~7xNr 2016 12 23.39624 02 07 48.80 -00 00 59.7 23.7z 13TU187 T09 C~7xNr 2017 10 13.24668 02 20 54.895 +01 14 45.29 23.1i 13TU187 W84 C~4yRE 2017 10 13.24804 02 20 54.871 +01 14 45.29 23.1r 13TU187 W84 C~4yRE 2017 10 21.22556 02 20 10.225 +01 10 48.27 23.5g 13TU187 W84 C~4yRE 2017 10 30.21948 02 19 18.395 +01 06 45.17 22.1z 13TU187 W84 C~4yRE 2017 11 16.17097 02 17 41.989 +01 00 46.40 23.2g 13TU187 W84 C~4yRE 2017 11 16.18502 02 17 41.908 +01 00 46.14 22.9r 13TU187 W84 C~4yRE 2017 12 07.03810 02 15 59.164 +00 57 21.36 22.4i 13TU187 W84 C~4yRE 2017 12 24.06658 02 14 59.700 +00 58 23.02 22.6z 13TU187 W84 C~4yRE 2018 09 11.33153 02 30 34.283 +02 31 08.08 22.9i 13TU187 W84 C~4yRE 2018 09 11.33817 02 30 34.251 +02 31 08.00 22.8r 13TU187 W84 C~4yRE 2018 09 11.33956 02 30 34.248 +02 31 07.95 23.6g 13TU187 W84 C~4yRE 2018 11 29.17757 02 23 51.579 +01 57 49.05 23.4g 13TU187 W84 C~4yRE
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 -0.04
2 0.0572 0.00 0.05 0.00 -0.01
3 0.1198 0.00 0.16 0.00 0.02
4 0.2184 0.00 -0.03 0.00 -0.03
5 0.2184 0.00 0.01 0.00 -0.06
6 0.2703 0.00 0.06 0.00 -0.14
7 0.2703 0.00 -0.05 0.00 -0.12
8 0.2922 0.00 0.00 0.00 -0.03
9 0.2922 0.00 -0.07 0.00 0.09
10 0.9308 0.00 -0.34 0.00 -0.03
11 1.2832 0.00 0.01 0.00 -0.07
12 1.2859 0.00 0.14 0.00 0.08
13 1.2859 0.00 -0.10 0.00 0.11
14 2.9925 0.00 -0.02 0.00 0.03
15 3.1534 0.00 0.08 0.00 0.03
16 3.2795 0.00 -0.19 0.00 0.11
17 3.2795 0.00 0.10 0.00 0.16
18 3.2796 0.00 -0.19 0.00 0.04
19 3.2796 0.00 -0.33 0.00 0.33
20 3.2796 0.00 -0.23 0.00 0.30
21 3.2799 0.00 0.17 0.00 -0.03
22 3.2799 0.00 0.18 0.00 -0.02
23 4.0845 0.00 0.25 0.00 -0.07
24 4.0845 0.00 0.00 0.00 -0.03
25 4.1063 0.00 -0.02 0.00 0.02
26 4.1309 0.00 0.05 0.00 -0.11
27 4.1773 0.00 0.16 0.00 -0.08
28 4.1774 0.00 0.12 0.00 -0.10
29 4.2345 0.00 0.14 0.00 -0.12
30 4.2811 0.00 -0.12 0.00 -0.02
31 4.9964 0.00 0.07 0.00 -0.12
32 4.9964 0.00 -0.09 0.00 -0.01
33 4.9964 0.00 -0.07 0.00 -0.02
34 5.2123 0.00 0.07 0.00 -0.02
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.
13TU187 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.621 39.621 39.621 ecceobj 0.168 0.168 0.168 incobj 14.881 14.881 14.881 qmin 32.427 32.428 32.427 qmax 47.138 47.133 47.143 amean 39.457 39.457 39.457 amin 38.982 38.980 38.982 amax 39.991 39.991 39.991 emean 0.161 0.161 0.161 emin 0.143 0.143 0.143 emax 0.180 0.179 0.180 imean 13.168 13.168 13.168 imin 12.631 12.631 12.632 imax 13.738 13.738 13.738 excite_mean 0.279 0.279 0.279 fracstop 1.000 1.000 1.000 cjmean 2.963 2.963 2.963 libcent 0 179.8 180.0 179.7 libamp 0 107.8 107.6 108.0 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 182.9 182.9 182.9 kozaiamp 180.0 180.0 180.0