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: 13TY187 # Created Sun Nov 24 02:09:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 50 observations of 50 # Arc: 6.95y # First observation: 2013/10/03 # Last observation: 2020/09/14 # Chi-squared of fit: 18.85 DOF: 94 RMS: 0.11 # Min/Max residuals: -0.26 0.33 # Exact a, adot, b, bdot, g, gdot: 1.638912E-05 2.339624E-02 8.633958E-07 8.873135E-04 2.406510E-02 -1.382228E-03 # Covariance matrix: 2.3791E-13 -1.3079E-13 3.2688E-15 -3.7322E-15 1.5562E-14 -5.9700E-13 -1.3079E-13 9.2333E-14 -2.9770E-15 3.0621E-15 -2.9468E-15 4.8849E-13 3.2688E-15 -2.9770E-15 1.1268E-13 -3.0254E-14 -4.5601E-15 -2.0560E-14 -3.7322E-15 3.0621E-15 -3.0254E-14 1.1023E-14 4.9355E-16 1.8719E-14 1.5562E-14 -2.9468E-15 -4.5601E-15 4.9355E-16 1.3531E-13 6.0554E-14 -5.9700E-13 4.8849E-13 -2.0560E-14 1.8719E-14 6.0554E-14 2.9757E-12 # lat0 lon0 xBary yBary zBary JD0 -11.184665 14.479122 0.082568 -0.193344 -0.978353 2456568.633788 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 294.32795 +/- 0.043 Argument of Peri: 353.89827 +/- 0.053 Long of Asc Node: 93.19553 +/- 0.001 Inclination: 11.12988 +/- 0.000 Eccentricity: 0.06727787 +/- 0.0001 Semi-Major Axis: 43.57024616 +/- 0.0029 Time of Perihelion: 2475731.4130 +/- 15.2 Perihelion: 40.63893299 +/- 0.0040 Aphelion: 46.50155933 +/- 0.0043 Period (y) 287.6029 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.45563911 +/- 0.0006 Ecliptic Y 10.36479393 +/- 0.0002 Ecliptic Z -8.06028166 +/- 0.0001 Ecliptic XDOT -0.00080209 +/- 0.0000 Ecliptic YDOT 0.00254218 +/- 0.0000 Ecliptic ZDOT 0.00012967 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.53303713 +/- 0.0006 Geocenter to KBO 41.55403072 +/- 0.0006 # Hcoef: 6.49
The following table shows the complete astrometric record for 13TY187. 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 (13TY187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.13301 01 10 35.654 -04 36 41.50 23.9g 13TY187 W84 C~4yRE 2013 10 04.18259 01 10 31.000 -04 37 11.12 23.5g 13TY187 W84 C~4yRE 2013 10 04.18259 01 10 31.00 -04 37 11.1 23.5g 13TY187 W84 C~3clQ 2014 10 01.32552 01 15 37.746 -04 01 45.47 22.4r 13TY187 W84 C~4yRE 2014 10 01.32552 01 15 37.75 -04 01 45.5 22.5r 13TY187 W84 C~3clQ 2014 10 01.32688 01 15 37.754 -04 01 45.30 23.6g 13TY187 W84 C~4yRE 2014 10 14.24606 01 14 40.112 -04 07 38.50 22.2z 13TY187 W84 C~4yRE 2014 10 28.25014 01 13 37.875 -04 13 01.58 23.0i 13TY187 W84 C~4yRE 2014 11 16.16555 01 12 22.217 -04 17 55.86 22.3i 13TY187 W84 C~4yRE 2014 11 16.16555 01 12 22.22 -04 17 55.9 22.5i 13TY187 W84 C~3clQ 2014 11 17.15825 01 12 18.674 -04 18 06.10 23.3g 13TY187 W84 C~4yRE 2014 11 21.04127 01 12 05.410 -04 18 40.31 22.7z 13TY187 W84 C~4yRE 2014 11 27.10989 01 11 46.478 -04 19 15.67 22.5r 13TY187 W84 C~4yRE 2014 11 27.10989 01 11 46.48 -04 19 15.7 22.6r 13TY187 W84 C~3clQ 2015 09 04.27970 01 22 16.464 -03 14 08.41 22.9z 13TY187 W84 C~4yRE 2015 09 04.27970 01 22 16.46 -03 14 08.4 23.0z 13TY187 W84 C~3clQ 2015 09 04.28108 01 22 16.455 -03 14 08.34 22.8i 13TY187 W84 C~4yRE 2015 09 04.28108 01 22 16.45 -03 14 08.3 22.9i 13TY187 W84 C~3clQ 2016 08 16.37184 01 27 54.199 -02 31 48.59 22.3i 13TY187 W84 C~4yRE 2016 08 16.37184 01 27 54.20 -02 31 48.6 22.1i 13TY187 W84 C~3clQ 2016 08 16.37321 01 27 54.193 -02 31 48.81 21.7z 13TY187 W84 C~4yRE 2016 08 16.37321 01 27 54.19 -02 31 48.8 21.9z 13TY187 W84 C~3clQ 2016 08 16.37458 01 27 54.191 -02 31 48.77 22.4i 13TY187 W84 C~4yRE 2016 08 16.37458 01 27 54.19 -02 31 48.8 22.4i 13TY187 W84 C~3clQ 2016 08 24.38707 01 27 36.947 -02 35 14.39 22.3z 13TY187 W84 C~4yRE 2016 08 24.38707 01 27 36.95 -02 35 14.4 22.3z 13TY187 W84 C~3clQ 2016 08 26.35469 01 27 31.988 -02 36 07.61 22.8r 13TY187 W84 C~4yRE 2016 08 26.35469 01 27 31.99 -02 36 07.6 22.9r 13TY187 W84 C~3clQ 2016 08 30.36370 01 27 21.040 -02 37 58.33 23.8g 13TY187 W84 C~4yRE 2016 10 21.18835 01 23 53.034 -03 02 20.40 22.4z 13TY187 W84 C~4yRE 2016 10 23.17622 01 23 44.084 -03 03 06.62 22.5r 13TY187 W84 C~4yRE 2016 10 23.17622 01 23 44.08 -03 03 06.6 22.5r 13TY187 W84 C~3clQ 2016 10 28.14953 01 23 21.985 -03 04 55.33 22.5i 13TY187 W84 C~4yRE 2016 10 28.14953 01 23 21.99 -03 04 55.3 22.5i 13TY187 W84 C~3clQ 2016 10 28.25215 01 23 21.525 -03 04 57.51 23.0r 13TY187 W84 C~4yRE 2016 10 28.25215 01 23 21.52 -03 04 57.5 22.8r 13TY187 W84 C~3clQ 2016 10 28.25352 01 23 21.539 -03 04 57.64 23.2g 13TY187 W84 C~4yRE 2016 10 29.24398 01 23 17.177 -03 05 18.00 22.8i 13TY187 W84 C~4yRE 2016 10 29.24398 01 23 17.18 -03 05 18.0 22.7i 13TY187 W84 C~3clQ 2017 08 27.34312 01 32 21.869 -02 02 10.68 22.6i 13TY187 W84 C~4yRE 2017 08 27.34452 01 32 21.871 -02 02 10.68 23.0r 13TY187 W84 C~4yRE 2017 08 27.34588 01 32 21.857 -02 02 10.79 23.8g 13TY187 W84 C~4yRE 2017 08 28.38473 01 32 19.158 -02 02 38.69 23.8g 13TY187 W84 C~4yRE 2017 08 28.41462 01 32 19.092 -02 02 39.57 22.3z 13TY187 W84 C~4yRE 2018 09 22.34498 01 35 49.616 -01 39 53.88 21.3z 13TY187 W84 C~4yRE 2018 10 10.29117 01 34 32.886 -01 48 24.67 22.4i 13TY187 W84 C~4yRE 2018 10 10.29256 01 34 32.887 -01 48 24.61 22.8r 13TY187 W84 C~4yRE 2020 09 14.52179 01 46 07.489 -00 26 42.94 22.7w 13TY187 F51 C~48At 2020 09 14.53333 01 46 07.477 -00 26 43.10 22.8w 13TY187 F51 C~48At 2020 09 14.54435 01 46 07.417 -00 26 43.08 22.7w 13TY187 F51 C~48At
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 -0.17 0.00 -0.13
2 0.0029 0.00 -0.12 0.00 -0.15
3 0.0029 0.00 -0.12 0.00 -0.13
4 0.9944 0.00 0.01 0.00 0.12
5 0.9944 0.00 0.07 0.00 0.09
6 0.9944 0.00 0.22 0.00 0.33
7 1.0297 0.00 0.10 0.00 0.09
8 1.0681 0.00 0.02 0.00 -0.02
9 1.1199 0.00 0.10 0.00 0.05
10 1.1199 0.00 0.06 0.00 0.09
11 1.1226 0.00 -0.10 0.00 0.00
12 1.1332 0.00 0.13 0.00 -0.01
13 1.1498 0.00 0.06 0.00 -0.04
14 1.1498 0.00 0.03 0.00 -0.01
15 1.9196 0.00 0.12 0.00 -0.08
16 1.9196 0.00 0.06 0.00 -0.07
17 1.9196 0.00 -0.02 0.00 0.07
18 1.9196 0.00 0.05 0.00 0.03
19 2.8699 0.00 0.03 0.00 0.08
20 2.8699 0.00 0.02 0.00 0.09
21 2.8699 0.00 -0.08 0.00 -0.08
22 2.8699 0.00 -0.03 0.00 -0.09
23 2.8699 0.00 -0.04 0.00 -0.05
24 2.8699 0.00 -0.02 0.00 -0.02
25 2.8919 0.00 0.15 0.00 -0.02
26 2.8919 0.00 0.11 0.00 -0.01
27 2.8973 0.00 0.07 0.00 -0.12
28 2.8973 0.00 0.04 0.00 -0.13
29 2.9082 0.00 -0.12 0.00 0.02
30 3.0501 0.00 0.07 0.00 0.12
31 3.0556 0.00 -0.20 0.00 0.02
32 3.0556 0.00 -0.26 0.00 0.04
33 3.0692 0.00 0.02 0.00 0.06
34 3.0692 0.00 -0.05 0.00 0.03
35 3.0695 0.00 -0.14 0.00 -0.01
36 3.0695 0.00 -0.07 0.00 -0.02
37 3.0695 0.00 0.23 0.00 -0.12
38 3.0722 0.00 0.04 0.00 -0.08
39 3.0722 0.00 -0.00 0.00 -0.08
40 3.8993 0.00 -0.05 0.00 0.04
41 3.8993 0.00 0.03 0.00 0.08
42 3.8993 0.00 -0.12 0.00 0.01
43 3.9021 0.00 -0.11 0.00 0.13
44 3.9022 0.00 0.12 0.00 0.06
45 4.9698 0.00 0.20 0.00 -0.06
46 5.0189 0.00 -0.12 0.00 -0.01
47 5.0189 0.00 -0.01 0.00 0.09
48 6.9497 0.00 -0.17 0.00 -0.25
49 6.9498 0.00 0.28 0.00 -0.08
50 6.9498 0.00 -0.03 0.00 0.25
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.
13TY187 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.815 43.815 43.815 ecceobj 0.067 0.067 0.067 incobj 11.135 11.135 11.135 qmin 39.501 39.497 39.510 qmax 47.805 47.842 47.777 amean 43.546 43.546 43.546 amin 43.201 43.205 43.205 amax 43.909 43.912 43.909 emean 0.073 0.073 0.073 emin 0.057 0.057 0.057 emax 0.089 0.090 0.089 imean 9.425 9.425 9.425 imin 8.734 8.735 8.733 imax 10.086 10.083 10.091 excite_mean 0.180 0.180 0.180 fracstop 1.000 1.000 1.000 cjmean 3.058 3.058 3.058 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 175.6 175.6 175.6 kozaiamp 180.0 180.0 180.0