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: 13TR187 # Created Sun Nov 24 02:09:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 33 observations of 33 # Arc: 8.09y # First observation: 2013/10/03 # Last observation: 2021/11/05 # Chi-squared of fit: 9.38 DOF: 60 RMS: 0.09 # Min/Max residuals: -0.27 0.20 # Exact a, adot, b, bdot, g, gdot: 1.867386E-05 3.065158E-02 1.970915E-06 3.932545E-03 2.651236E-02 -5.102291E-03 # Covariance matrix: 2.0630E-13 -4.9979E-14 4.4555E-16 -4.5265E-15 1.4570E-13 -1.3986E-13 -4.9979E-14 6.4243E-14 -8.9495E-15 7.6934E-15 6.3204E-14 2.4712E-13 4.4555E-16 -8.9495E-15 1.0449E-13 -2.1987E-14 -1.8244E-14 -3.8175E-14 -4.5265E-15 7.6934E-15 -2.1987E-14 8.2834E-15 7.3452E-15 3.3443E-14 1.4570E-13 6.3204E-14 -1.8244E-14 7.3452E-15 4.2836E-13 2.4709E-13 -1.3986E-13 2.4712E-13 -3.8175E-14 3.3443E-14 2.4709E-13 1.0734E-12 # lat0 lon0 xBary yBary zBary JD0 -12.506358 18.334347 0.146752 -0.214230 -0.966351 2456568.789188 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 346.03034 +/- 0.005 Argument of Peri: 334.86266 +/- 0.007 Long of Asc Node: 76.87367 +/- 0.001 Inclination: 14.17848 +/- 0.000 Eccentricity: 0.40051601 +/- 0.0001 Semi-Major Axis: 61.30437793 +/- 0.0110 Time of Perihelion: 2463371.7899 +/- 45.4 Perihelion: 36.75099324 +/- 0.0087 Aphelion: 85.85776261 +/- 0.0164 Period (y) 480.0046 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.93910751 +/- 0.0009 Ecliptic Y 11.75835700 +/- 0.0003 Ecliptic Z -8.16777252 +/- 0.0002 Ecliptic XDOT -0.00140666 +/- 0.0000 Ecliptic YDOT 0.00286911 +/- 0.0000 Ecliptic ZDOT 0.00051070 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.68591511 +/- 0.0008 Geocenter to KBO 37.71840554 +/- 0.0009 # Hcoef: 7.49
The following table shows the complete astrometric record for 13TR187. 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 (13TR187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.28841 01 26 36.599 -04 23 19.33 24.0g 13TR187 W84 C~4yRD 2013 10 03.28841 01 26 36.60 -04 23 19.3 24.2g 13TR187 W84 C~3clQ 2013 10 04.19728 01 26 32.346 -04 23 45.77 23.9g 13TR187 W84 C~4yRD 2013 10 04.19728 01 26 32.35 -04 23 45.8 24.1g 13TR187 W84 C~3clQ 2013 11 03.05351 01 24 09.87 -04 35 30.7 23.7r 13TR187 W84 C~3clQ 2013 11 03.11582 01 24 09.58 -04 35 31.8 13TR187 W84 C~3clQ 2013 11 03.20125 01 24 09.18 -04 35 33.3 13TR187 W84 C~3clQ 2014 10 29.25836 01 30 44.690 -03 41 25.10 23.1i 13TR187 W84 C~4yRD 2014 10 29.25974 01 30 44.691 -03 41 25.09 23.3r 13TR187 W84 C~4yRD 2014 11 17.16106 01 29 20.418 -03 46 08.10 23.0r 13TR187 W84 C~4yRD 2014 11 17.16106 01 29 20.42 -03 46 08.1 23.0r 13TR187 W84 C~3clQ 2014 11 21.10696 01 29 04.861 -03 46 40.27 22.6i 13TR187 W84 C~4yRD 2014 11 21.10696 01 29 04.86 -03 46 40.3 22.8i 13TR187 W84 C~3clQ 2014 12 06.10938 01 28 15.088 -03 47 07.75 22.6z 13TR187 W84 C~4yRD 2015 11 01.20427 01 36 46.01 -02 49 04.5 23.5i 13TR187 W84 C~3clQ 2015 11 07.12743 01 36 18.215 -02 50 50.65 23.6r 13TR187 W84 C~4yRD 2015 11 07.12743 01 36 18.21 -02 50 50.6 23.5r 13TR187 W84 C~3clQ 2016 11 10.12874 01 42 17.354 -01 58 03.48 22.4z 13TR187 W84 C~4yRD 2016 11 25.08231 01 41 14.46 -02 00 42.6 23.6r 13TR187 W84 C~3clQ 2016 11 25.08369 01 41 14.466 -02 00 42.38 23.1i 13TR187 W84 C~4yRD 2016 11 25.08369 01 41 14.46 -02 00 42.4 23.3i 13TR187 W84 C~3clQ 2016 11 25.08506 01 41 14.459 -02 00 42.53 23.8g 13TR187 W84 C~4yRD 2017 10 29.24970 01 49 34.873 -00 59 56.09 22.8z 13TR187 W84 C~4yRD 2017 11 18.12808 01 48 01.775 -01 05 28.39 23.4r 13TR187 W84 C~4yRD 2017 11 18.12945 01 48 01.767 -01 05 28.50 23.7g 13TR187 W84 C~4yRD 2018 09 09.26961 01 59 40.441 +00 17 45.51 22.9r 13TR187 W84 C~4yRD 2018 09 09.38869 01 59 40.031 +00 17 42.20 22.7z 13TR187 W84 C~4yRD 2018 11 07.22249 01 55 15.330 -00 07 50.38 23.0r 13TR187 W84 C~4yRD 2018 11 07.22386 01 55 15.312 -00 07 50.42 23.4i 13TR187 W84 C~4yRD 2018 11 30.12303 01 53 35.351 -00 12 22.09 23.6g 13TR187 W84 C~4yRD 2021 11 05.253220 02 14 53.681 +02 40 15.88 23.2G 13TR187 G37 C~5BQr 2021 11 05.308310 02 14 53.398 +02 40 14.72 13TR187 G37 C~5BQr 2021 11 05.367840 02 14 53.090 +02 40 13.64 13TR187 G37 C~5BQr
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 -0.10 0.00 0.04
2 0.0000 0.00 -0.09 0.00 0.07
3 0.0025 0.00 0.16 0.00 -0.05
4 0.0025 0.00 0.10 0.00 -0.02
5 0.0842 0.00 -0.00 0.00 -0.00
6 0.0844 0.00 -0.02 0.00 -0.06
7 0.0846 0.00 -0.07 0.00 -0.13
8 1.0704 0.00 -0.10 0.00 0.06
9 1.0704 0.00 0.02 0.00 0.10
10 1.1222 0.00 0.12 0.00 -0.02
11 1.1222 0.00 0.09 0.00 -0.02
12 1.1330 0.00 -0.02 0.00 -0.04
13 1.1330 0.00 -0.00 0.00 -0.01
14 1.1740 0.00 -0.14 0.00 0.10
15 2.0778 0.00 0.14 0.00 0.20
16 2.0940 0.00 -0.03 0.00 -0.01
17 2.0940 0.00 0.04 0.00 -0.06
18 3.1043 0.00 0.14 0.00 0.13
19 3.1452 0.00 -0.09 0.00 -0.22
20 3.1452 0.00 -0.00 0.00 -0.01
21 3.1452 0.00 0.09 0.00 0.01
22 3.1452 0.00 0.06 0.00 -0.13
23 4.0711 0.00 0.07 0.00 0.16
24 4.1255 0.00 -0.00 0.00 -0.02
25 4.1255 0.00 -0.03 0.00 -0.11
26 4.9336 0.00 0.08 0.00 0.14
27 4.9339 0.00 -0.27 0.00 0.11
28 5.0950 0.00 -0.03 0.00 -0.04
29 5.0950 0.00 -0.19 0.00 -0.06
30 5.1577 0.00 0.11 0.00 0.04
31 8.0903 0.00 0.05 0.00 -0.02
32 8.0904 0.00 0.05 0.00 -0.09
33 8.0906 0.00 0.00 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.
13TR187 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.829 61.828 61.829 ecceobj 0.404 0.404 0.404 incobj 14.183 14.183 14.183 qmin 35.597 35.554 35.621 qmax 87.972 87.685 88.095 amean 61.147 61.009 61.120 amin 60.329 60.101 60.331 amax 62.217 62.051 62.239 emean 0.402 0.401 0.402 emin 0.388 0.387 0.388 emax 0.416 0.416 0.417 imean 12.425 12.295 12.356 imin 11.529 11.272 11.546 imax 13.203 13.107 13.080 excite_mean 0.456 0.454 0.455 fracstop 1.000 1.000 1.000 cjmean 3.041 3.041 3.041 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 169.6 171.9 174.8 kozaiamp 180.0 179.9 180.0