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: 13TL187 # Created Fri Apr 26 01:15:22 2024 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 3.09y # First observation: 2013/10/04 # Last observation: 2016/11/06 Preliminary a, adot, b, bdot, g, gdot: 0.000037 0.038499 -0.000029 0.012684 0.032974 0.000000 # Chi-squared of fit: 5.60 DOF: 36 RMS: 0.09 # Min/Max residuals: -0.25 0.18 # Exact a, adot, b, bdot, g, gdot: 1.886038E-05 3.850681E-02 6.000163E-06 1.267772E-02 3.293470E-02 -4.636022E-04 # Covariance matrix: 2.5978E-13 -7.5822E-14 -3.4547E-15 4.0169E-15 2.0005E-13 9.0914E-14 -7.5822E-14 8.6243E-13 -8.8829E-14 3.0076E-13 5.9428E-13 7.2752E-12 -3.4547E-15 -8.8829E-14 1.8268E-13 -9.8031E-14 -7.5337E-14 -7.9687E-13 4.0169E-15 3.0076E-13 -9.8031E-14 1.5213E-13 2.3669E-13 2.6816E-12 2.0005E-13 5.9428E-13 -7.5337E-14 2.3669E-13 9.2759E-13 5.7106E-12 9.0914E-14 7.2752E-12 -7.9687E-13 2.6816E-12 5.7106E-12 6.4854E-11 # lat0 lon0 xBary yBary zBary JD0 -5.043680 10.581089 -0.003018 -0.087842 -0.996490 2456569.656728 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 357.28091 +/- 0.043 Argument of Peri: 348.86216 +/- 0.067 Long of Asc Node: 25.08968 +/- 0.000 Inclination: 18.84194 +/- 0.000 Eccentricity: 0.20395572 +/- 0.0001 Semi-Major Axis: 39.37702559 +/- 0.0050 Time of Perihelion: 2457242.1850 +/- 10.8 Perihelion: 31.34585593 +/- 0.0052 Aphelion: 47.40819525 +/- 0.0068 Period (y) 247.0999 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.71351447 +/- 0.0009 Ecliptic Y 5.74356136 +/- 0.0002 Ecliptic Z -2.66922153 +/- 0.0001 Ecliptic XDOT -0.00054063 +/- 0.0000 Ecliptic YDOT 0.00315523 +/- 0.0000 Ecliptic ZDOT 0.00105334 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.35973871 +/- 0.0009 Geocenter to KBO 30.36311567 +/- 0.0009 # Hcoef: 8.63
The following table shows the complete astrometric record for 13TL187. 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 (13TL187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.15595 00 46 48.165 -00 27 09.68 24.4g 13TL187 W84 C~4yRD 2013 10 13.21291 00 45 53.714 -00 31 36.04 23.3i 13TL187 W84 C~4yRD 2013 10 13.21291 00 45 53.72 -00 31 36.0 23.4i 13TL187 W84 C~3clQ 2013 11 08.18987 00 43 31.070 -00 41 31.82 23.1r 13TL187 W84 C~4yRD 2013 11 08.18987 00 43 31.07 -00 41 31.8 23.2r 13TL187 W84 C~3clQ 2013 11 08.19126 00 43 31.070 -00 41 31.81 23.5i 13TL187 W84 C~4yRD 2013 11 23.14833 00 42 28.840 -00 44 21.10 23.4i 13TL187 W84 C~4yRD 2014 10 29.21054 00 51 21.085 +00 53 19.12 23.2r 13TL187 W84 C~4yRD 2014 10 29.21054 00 51 21.09 +00 53 19.1 23.2r 13TL187 W84 C~3clQ 2014 10 29.21190 00 51 21.067 +00 53 18.98 22.8i 13TL187 W84 C~4yRD 2014 11 14.13269 00 50 00.718 +00 48 13.26 23.9r 13TL187 W84 C~4yRD 2014 11 14.13269 00 50 00.72 +00 48 13.2 24.0r 13TL187 W84 C~3clQ 2016 08 26.37683 01 11 06.073 +04 25 05.25 22.8i 13TL187 W84 C~4yRD 2016 09 01.36191 01 10 41.424 +04 22 56.89 23.2r 13TL187 W84 C~4yRD 2016 09 01.36191 01 10 41.42 +04 22 56.9 23.2r 13TL187 W84 C~3clQ 2016 09 01.36329 01 10 41.405 +04 22 56.45 24.5g 13TL187 W84 C~4yRD 2016 11 05.16171 01 04 36.531 +03 53 22.90 23.8r 13TL187 W84 C~4yRD 2016 11 05.16171 01 04 36.53 +03 53 22.9 23.9r 13TL187 W84 C~3clQ 2016 11 05.16308 01 04 36.516 +03 53 22.83 23.0i 13TL187 W84 C~4yRD 2016 11 05.16446 01 04 36.513 +03 53 22.97 24.4g 13TL187 W84 C~4yRD 2016 11 06.16827 01 04 31.157 +03 53 00.35 24.2r 13TL187 W84 C~4yRD
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 -0.08 0.00 0.02
2 0.0248 -855.77 0.18 74.20 -0.00
3 0.0248 -855.87 0.08 74.20 -0.00
4 0.0959 -3058.26 -0.09 362.32 -0.02
5 0.0959 -3058.27 -0.10 362.31 -0.04
6 0.0959 -3058.26 0.01 362.32 -0.05
7 0.1369 -3983.83 0.01 571.37 0.15
8 1.0679 5657.76 0.10 2844.44 0.02
9 1.0679 5657.70 0.04 2844.49 0.07
10 1.0679 5657.40 -0.15 2844.46 0.03
11 1.1115 4427.86 0.00 3034.05 -0.12
12 1.1115 4427.86 0.00 3034.12 -0.05
13 2.8945 27124.64 0.01 7671.80 -0.10
14 2.9109 26728.16 0.06 7695.73 0.09
15 2.9109 26728.21 0.11 7695.69 0.05
16 2.9109 26727.77 -0.23 7695.39 -0.25
17 3.0883 20928.78 0.05 8172.03 0.03
18 3.0883 20928.80 0.06 8172.03 0.03
19 3.0883 20928.56 -0.06 8172.05 0.03
20 3.0883 20928.57 0.07 8172.20 0.17
21 3.0911 20845.04 -0.07 8182.43 -0.05
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.
13TL187 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.591 39.605 39.578 ecceobj 0.208 0.209 0.208 incobj 18.810 18.810 18.811 qmin 30.759 30.784 30.651 qmax 48.749 48.773 49.036 amean 39.456 39.456 39.456 amin 38.938 38.945 38.927 amax 40.025 40.017 40.054 emean 0.203 0.202 0.206 emin 0.186 0.184 0.189 emax 0.221 0.220 0.224 imean 18.355 18.411 18.182 imin 17.928 18.014 17.733 imax 18.851 18.770 18.768 excite_mean 0.375 0.375 0.374 fracstop 1.000 1.000 1.000 cjmean 2.891 2.890 2.891 libcent 0 179.8 179.2 178.8 libamp 0 123.8 120.8 125.0 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 190.3 217.1 193.5 kozaiamp 180.0 180.0 180.0