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: 13TD187 # Created Wed Dec 4 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 35 observations of 35 # Arc: 5.23y # First observation: 2013/09/02 # Last observation: 2018/11/27 # Chi-squared of fit: 11.75 DOF: 64 RMS: 0.10 # Min/Max residuals: -0.28 0.30 # Exact a, adot, b, bdot, g, gdot: 1.960226E-05 2.970347E-02 -1.323152E-06 -2.474083E-03 2.586173E-02 4.241919E-03 # Covariance matrix: 2.0992E-13 -6.2033E-14 -1.6911E-15 2.3770E-15 1.1448E-13 -2.2582E-13 -6.2033E-14 1.7379E-13 6.6871E-15 -1.5098E-14 7.0240E-14 1.4104E-12 -1.6911E-15 6.6871E-15 1.0578E-13 -3.1312E-14 2.4736E-15 5.9196E-14 2.3770E-15 -1.5098E-14 -3.1312E-14 1.6438E-14 -7.4679E-15 -1.3442E-13 1.1448E-13 7.0240E-14 2.4736E-15 -7.4679E-15 1.9877E-13 6.9269E-13 -2.2582E-13 1.4104E-12 5.9196E-14 -1.3442E-13 6.9269E-13 1.2555E-11 # lat0 lon0 xBary yBary zBary JD0 -2.695332 5.721072 0.443968 -0.042580 -0.906280 2456537.774988 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 11.63388 +/- 0.008 Argument of Peri: 181.63313 +/- 0.021 Long of Asc Node: 156.37464 +/- 0.001 Inclination: 5.46971 +/- 0.000 Eccentricity: 0.37691584 +/- 0.0001 Semi-Major Axis: 61.59559415 +/- 0.0084 Time of Perihelion: 2450832.3286 +/- 4.2 Perihelion: 38.37923877 +/- 0.0081 Aphelion: 84.81194953 +/- 0.0131 Period (y) 483.4290 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.37870919 +/- 0.0007 Ecliptic Y 3.50222073 +/- 0.0001 Ecliptic Z -1.81838752 +/- 0.0000 Ecliptic XDOT 0.00011443 +/- 0.0000 Ecliptic YDOT 0.00317129 +/- 0.0000 Ecliptic ZDOT -0.00028261 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.57584672 +/- 0.0007 Geocenter to KBO 38.66711212 +/- 0.0007 # Hcoef: 7.39
The following table shows the complete astrometric record for 13TD187. 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 (13TD187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.27421 00 25 16.573 -00 12 09.32 24.5g 13TD187 W84 C~4yRC 2013 09 09.21447 00 24 48.332 -00 15 34.41 23.8g 13TD187 W84 C~4yRC 2013 10 03.08934 00 23 02.018 -00 27 50.58 23.6g 13TD187 W84 C~4yRC 2013 10 13.08917 00 22 17.223 -00 32 47.49 22.8z 13TD187 W84 C~4yRC 2013 10 13.08917 00 22 17.22 -00 32 47.4 23.1z 13TD187 W84 C~3clP 2013 10 13.11349 00 22 17.109 -00 32 48.08 22.8i 13TD187 W84 C~4yRC 2013 10 13.11349 00 22 17.11 -00 32 48.1 22.9i 13TD187 W84 C~3clP 2013 11 23.09694 00 19 56.048 -00 47 11.83 23.3r 13TD187 W84 C~4yRC 2013 11 23.09694 00 19 56.05 -00 47 11.8 23.2r 13TD187 W84 C~3clP 2013 11 23.09831 00 19 56.040 -00 47 11.72 23.1i 13TD187 W84 C~4yRC 2013 11 23.09831 00 19 56.04 -00 47 11.7 23.1i 13TD187 W84 C~3clP 2014 08 18.30926 00 32 35.534 +00 26 57.26 23.3z 13TD187 W84 C~4yRC 2014 10 28.20852 00 27 42.619 -00 06 52.14 24.0g 13TD187 W84 C~4yRC 2014 11 13.06664 00 26 47.281 -00 12 26.09 23.2r 13TD187 W84 C~4yRC 2014 11 13.06664 00 26 47.28 -00 12 26.1 23.2r 13TD187 W84 C~3clP 2014 11 13.06801 00 26 47.278 -00 12 26.07 22.9i 13TD187 W84 C~4yRC 2014 11 13.06801 00 26 47.28 -00 12 26.1 22.9i 13TD187 W84 C~3clP 2014 11 15.15632 00 26 41.125 -00 13 01.28 22.3z 13TD187 W84 C~4yRC 2016 09 08.33033 00 44 01.963 +01 21 12.76 23.0i 13TD187 W84 C~4yRC 2016 09 08.33033 00 44 01.96 +01 21 12.8 23.5i 13TD187 W84 C~3clP 2016 09 08.33171 00 44 01.955 +01 21 12.57 23.5r 13TD187 W84 C~4yRC 2016 09 08.33171 00 44 01.95 +01 21 12.6 23.7r 13TD187 W84 C~3clP 2016 11 06.18215 00 39 50.535 +00 53 34.53 23.3i 13TD187 W84 C~4yRC 2016 11 06.18215 00 39 50.53 +00 53 34.5 23.2i 13TD187 W84 C~3clP 2016 11 18.11448 00 39 11.869 +00 49 52.62 23.5i 13TD187 W84 C~4yRC 2016 11 25.06213 00 38 53.848 +00 48 16.22 23.8r 13TD187 W84 C~4yRC 2016 11 25.06213 00 38 53.85 +00 48 16.2 23.8r 13TD187 W84 C~3clP 2017 08 22.32872 00 51 17.701 +02 00 09.64 23.4i 13TD187 W84 C~4yRC 2017 08 22.33009 00 51 17.690 +02 00 09.39 23.5r 13TD187 W84 C~4yRC 2017 08 22.33147 00 51 17.697 +02 00 09.57 24.4g 13TD187 W84 C~4yRC 2017 09 27.22401 00 49 00.109 +01 43 28.67 22.8r 13TD187 W84 C~4yRC 2017 09 27.22538 00 49 00.105 +01 43 28.73 23.3i 13TD187 W84 C~4yRC 2017 09 27.22675 00 49 00.087 +01 43 28.60 23.8g 13TD187 W84 C~4yRC 2018 11 08.18235 00 52 15.293 +01 55 47.03 23.4r 13TD187 W84 C~4yRC 2018 11 27.08028 00 51 16.436 +01 50 23.97 23.9g 13TD187 W84 C~4yRC
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 -0.26 0.00 -0.15
2 0.0190 0.00 0.19 0.00 0.08
3 0.0844 0.00 -0.05 0.00 0.30
4 0.1117 0.00 0.08 0.00 -0.11
5 0.1117 0.00 0.04 0.00 -0.02
6 0.1118 0.00 0.01 0.00 -0.02
7 0.1118 0.00 -0.00 0.00 -0.00
8 0.2240 0.00 0.08 0.00 -0.13
9 0.2240 0.00 0.11 0.00 -0.10
10 0.2240 0.00 0.00 0.00 0.02
11 0.2240 0.00 0.00 0.00 -0.00
12 0.9583 0.00 0.05 0.00 -0.08
13 1.1525 0.00 -0.22 0.00 0.09
14 1.1959 0.00 -0.00 0.00 0.00
15 1.1959 0.00 0.01 0.00 0.01
16 1.1959 0.00 0.06 0.00 0.03
17 1.1959 0.00 0.03 0.00 0.06
18 1.2016 0.00 -0.28 0.00 0.06
19 3.0173 0.00 0.12 0.00 0.09
20 3.0173 0.00 0.16 0.00 0.05
21 3.0173 0.00 0.05 0.00 -0.07
22 3.0173 0.00 0.12 0.00 -0.10
23 3.1784 0.00 -0.05 0.00 0.01
24 3.1784 0.00 0.02 0.00 0.04
25 3.2111 0.00 0.02 0.00 0.12
26 3.2301 0.00 0.08 0.00 -0.04
27 3.2301 0.00 0.05 0.00 -0.02
28 3.9700 0.00 0.00 0.00 0.15
29 3.9700 0.00 -0.10 0.00 -0.07
30 3.9700 0.00 0.07 0.00 0.15
31 4.0683 0.00 -0.08 0.00 -0.11
32 4.0683 0.00 -0.05 0.00 -0.01
33 4.0683 0.00 -0.22 0.00 -0.10
34 5.1825 0.00 -0.00 0.00 -0.02
35 5.2342 0.00 0.13 0.00 -0.03
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.
13TD187 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 62.190 62.190 62.190 ecceobj 0.383 0.383 0.383 incobj 5.457 5.457 5.457 qmin 37.645 37.615 37.624 qmax 86.888 86.890 86.891 amean 61.608 61.614 61.610 amin 60.887 60.920 60.916 amax 62.574 62.576 62.576 emean 0.377 0.377 0.377 emin 0.368 0.368 0.367 emax 0.389 0.389 0.389 imean 4.587 4.588 4.588 imin 4.270 4.269 4.271 imax 4.938 4.943 4.943 excite_mean 0.386 0.386 0.386 fracstop 1.000 1.000 1.000 cjmean 3.129 3.129 3.129 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 190.3 190.3 190.3 kozaiamp 180.0 180.0 180.0