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: 13TV187 # Created Wed Dec 25 02:09:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 6.95y # First observation: 2013/10/11 # Last observation: 2020/09/21 # Chi-squared of fit: 9.10 DOF: 46 RMS: 0.10 # Min/Max residuals: -0.23 0.31 # Exact a, adot, b, bdot, g, gdot: 1.596798E-05 2.309370E-02 -4.127854E-07 -1.846887E-03 2.450461E-02 -1.177682E-04 # Covariance matrix: 2.4257E-13 -1.1342E-13 -5.3375E-15 5.0513E-15 6.0209E-14 -4.4767E-13 -1.1342E-13 9.6502E-14 5.6103E-15 -6.0720E-15 -1.2646E-14 5.4464E-13 -5.3375E-15 5.6103E-15 1.6908E-13 -4.0768E-14 -2.7472E-15 3.5824E-14 5.0513E-15 -6.0720E-15 -4.0768E-14 1.4990E-14 -1.0695E-15 -4.1887E-14 6.0209E-14 -1.2646E-14 -2.7472E-15 -1.0695E-15 2.7467E-13 1.2612E-13 -4.4767E-13 5.4464E-13 3.5824E-14 -4.1887E-14 1.2612E-13 3.7804E-12 # lat0 lon0 xBary yBary zBary JD0 -4.210553 10.685896 -0.122312 -0.072606 -0.987864 2456576.717488 # Heliocentric elements and errors Epoch: 2456576.5000 = 2013/10/11 Mean Anomaly: 185.22721 +/- 0.085 Argument of Peri: 37.37130 +/- 0.083 Long of Asc Node: 148.95073 +/- 0.002 Inclination: 6.14166 +/- 0.000 Eccentricity: 0.05395269 +/- 0.0001 Semi-Major Axis: 39.66472961 +/- 0.0033 Time of Perihelion: 2500873.7222 +/- 22.4 Perihelion: 37.52471082 +/- 0.0041 Aphelion: 41.80474840 +/- 0.0044 Period (y) 249.8130 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.94279532 +/- 0.0009 Ecliptic Y 7.85343891 +/- 0.0002 Ecliptic Z -2.99630343 +/- 0.0001 Ecliptic XDOT -0.00051239 +/- 0.0000 Ecliptic YDOT 0.00252880 +/- 0.0000 Ecliptic ZDOT -0.00020469 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.79673508 +/- 0.0008 Geocenter to KBO 40.80868946 +/- 0.0009 # Hcoef: 7.07
The following table shows the complete astrometric record for 13TV187. 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 (13TV187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 11.21671 00 45 53.07 +00 21 17.9 24.2g 13TV187 W84 C~3clQ 2013 10 13.21291 00 45 44.143 +00 20 21.11 22.9i 13TV187 W84 C~4yRE 2013 10 13.21708 00 45 44.135 +00 20 20.87 22.7z 13TV187 W84 C~4yRE 2013 10 29.04765 00 44 36.133 +00 13 23.81 23.7g 13TV187 W84 C~4yRE 2013 11 23.14833 00 43 10.224 +00 05 35.28 22.9i 13TV187 W84 C~4yRE 2013 11 23.14970 00 43 10.226 +00 05 35.57 22.9z 13TV187 W84 C~4yRE 2014 11 14.13269 00 48 37.923 +00 32 54.38 23.4r 13TV187 W84 C~4yRE 2014 11 15.07192 00 48 34.808 +00 32 37.92 22.6z 13TV187 W84 C~4yRE 2016 08 16.39537 01 04 29.570 +02 02 04.31 23.2i 13TV187 W84 C~4yRE 2016 08 16.39674 01 04 29.573 +02 02 04.36 23.8z 13TV187 W84 C~4yRE 2016 08 30.35544 01 03 50.331 +01 56 35.21 23.3r 13TV187 W84 C~4yRE 2016 08 30.35681 01 03 50.325 +01 56 35.34 23.6g 13TV187 W84 C~4yRE 2016 10 29.21651 00 59 38.326 +01 28 23.55 23.2r 13TV187 W84 C~4yRE 2016 10 29.21788 00 59 38.320 +01 28 23.56 23.0i 13TV187 W84 C~4yRE 2016 10 29.21926 00 59 38.309 +01 28 23.31 23.9g 13TV187 W84 C~4yRE 2016 11 07.19435 00 59 02.024 +01 24 57.04 23.2i 13TV187 W84 C~4yRE 2016 11 18.09231 00 58 23.183 +01 21 30.38 23.9r 13TV187 W84 C~4yRE 2016 11 18.09367 00 58 23.172 +01 21 30.67 24.4g 13TV187 W84 C~4yRE 2017 08 22.34106 01 09 15.085 +02 24 45.01 22.6i 13TV187 W84 C~4yRE 2017 08 22.34244 01 09 15.065 +02 24 45.11 23.3r 13TV187 W84 C~4yRE 2017 09 14.31955 01 07 58.024 +02 14 46.97 22.7z 13TV187 W84 C~4yRE 2017 09 27.23909 01 07 03.818 +02 08 28.72 22.2z 13TV187 W84 C~4yRE 2018 09 11.33485 01 13 12.254 +02 41 11.19 23.3r 13TV187 W84 C~4yRE 2018 10 18.20169 01 10 32.851 +02 23 24.72 23.0z 13TV187 W84 C~4yRE 2020 09 21.339320 01 22 36.447 +03 25 55.69 23.0G 13TV187 G37 C~49wo 2020 09 21.396270 01 22 36.214 +03 25 53.96 13TV187 G37 C~49wo
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 -0.14 0.00 -0.23
2 0.0055 0.00 -0.01 0.00 -0.05
3 0.0055 0.00 0.16 0.00 -0.17
4 0.0488 0.00 -0.06 0.00 0.07
5 0.1175 0.00 -0.03 0.00 0.00
6 0.1175 0.00 0.06 0.00 0.31
7 1.0922 0.00 0.01 0.00 -0.09
8 1.0947 0.00 0.04 0.00 -0.09
9 2.8479 0.00 -0.02 0.00 0.07
10 2.8479 0.00 0.08 0.00 0.15
11 2.8861 0.00 0.05 0.00 -0.04
12 2.8861 0.00 0.03 0.00 0.13
13 3.0500 0.00 0.04 0.00 0.05
14 3.0500 0.00 0.04 0.00 0.09
15 3.0500 0.00 -0.04 0.00 -0.13
16 3.0745 0.00 -0.04 0.00 0.12
17 3.1044 0.00 0.07 0.00 -0.09
18 3.1044 0.00 -0.03 0.00 0.22
19 3.8634 0.00 0.11 0.00 -0.12
20 3.8635 0.00 -0.14 0.00 0.01
21 3.9264 0.00 0.13 0.00 -0.03
22 3.9617 0.00 -0.21 0.00 -0.06
23 4.9175 0.00 -0.02 0.00 0.05
24 5.0184 0.00 -0.06 0.00 -0.04
25 6.9463 0.00 0.00 0.00 -0.00
26 6.9464 0.00 0.09 0.00 -0.11
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.
13TV187 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 39.867 39.867 39.867 ecceobj 0.048 0.048 0.048 incobj 6.127 6.127 6.127 qmin 34.267 35.327 36.018 qmax 45.521 44.520 43.590 amean 39.559 39.488 39.614 amin 38.878 38.932 39.202 amax 40.083 40.059 40.006 emean 0.071 0.063 0.054 emin 0.006 0.020 0.014 emax 0.137 0.111 0.090 imean 5.438 3.542 4.193 imin 1.651 1.648 0.750 imax 8.785 5.189 6.651 excite_mean 0.122 0.089 0.093 fracstop 1.000 1.000 1.000 cjmean 3.036 3.044 3.044 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 182.0 179.4 178.7 kozaiamp 179.9 180.0 180.0