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: 13TS187 # Created Sat Apr 27 01:15:20 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 6.94y # First observation: 2013/10/13 # Last observation: 2020/09/21 # Chi-squared of fit: 17.92 DOF: 46 RMS: 0.15 # Min/Max residuals: -0.42 0.56 # Exact a, adot, b, bdot, g, gdot: 1.819009E-05 3.698456E-02 -8.981929E-07 -1.745412E-03 3.212844E-02 1.790449E-03 # Covariance matrix: 2.1724E-13 -1.1201E-13 -2.8032E-15 3.0301E-15 6.9390E-14 -3.0276E-13 -1.1201E-13 1.1355E-13 3.6871E-15 -4.3260E-15 -6.7005E-14 4.4399E-13 -2.8032E-15 3.6871E-15 1.6917E-13 -4.5218E-14 -6.7269E-15 1.5392E-14 3.0301E-15 -4.3260E-15 -4.5218E-14 1.8626E-14 2.7446E-15 -2.0326E-14 6.9390E-14 -6.7005E-14 -6.7269E-15 2.7446E-15 4.8920E-13 -1.1807E-13 -3.0276E-13 4.4399E-13 1.5392E-14 -2.0326E-14 -1.1807E-13 2.1582E-12 # lat0 lon0 xBary yBary zBary JD0 -3.859264 1.800528 -0.305314 -0.063794 -0.947396 2456578.638338 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 31.47620 +/- 0.022 Argument of Peri: 196.47691 +/- 0.027 Long of Asc Node: 127.96550 +/- 0.002 Inclination: 4.60331 +/- 0.000 Eccentricity: 0.09787755 +/- 0.0001 Semi-Major Axis: 34.88162025 +/- 0.0037 Time of Perihelion: 2449999.2978 +/- 4.8 Perihelion: 31.46749269 +/- 0.0043 Aphelion: 38.29574780 +/- 0.0049 Period (y) 206.0171 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.97812032 +/- 0.0007 Ecliptic Y 1.31372269 +/- 0.0000 Ecliptic Z -2.09496384 +/- 0.0000 Ecliptic XDOT 0.00003695 +/- 0.0000 Ecliptic YDOT 0.00315313 +/- 0.0000 Ecliptic ZDOT -0.00015853 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.07355446 +/- 0.0007 Geocenter to KBO 31.12508463 +/- 0.0007 # Hcoef: 8.41
The following table shows the complete astrometric record for 13TS187. 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 (13TS187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.13756 00 12 44.976 -02 49 29.31 22.9i 13TS187 W84 C~4yRD 2013 10 13.13756 00 12 44.98 -02 49 29.3 23.0i 13TS187 W84 C~3clQ 2013 10 13.13894 00 12 44.965 -02 49 29.55 23.0z 13TS187 W84 C~4yRD 2013 11 08.15377 00 10 43.12 -03 01 15.2 22.8r 13TS187 W84 C~3clQ 2013 11 22.10606 00 09 59.495 -03 04 42.73 23.6r 13TS187 W84 C~4yRD 2013 11 22.10744 00 09 59.489 -03 04 42.56 22.9i 13TS187 W84 C~4yRD 2013 11 22.10744 00 09 59.49 -03 04 42.6 23.4i 13TS187 W84 C~3clQ 2014 08 18.30277 00 25 31.015 -01 30 35.81 23.2i 13TS187 W84 C~4yRD 2016 09 09.31637 00 39 27.343 -00 13 57.46 23.4i 13TS187 W84 C~4yRD 2016 09 09.31637 00 39 27.34 -00 13 57.4 23.4i 13TS187 W84 C~3clQ 2016 09 09.31774 00 39 27.345 -00 13 57.43 23.5r 13TS187 W84 C~4yRD 2016 09 09.31774 00 39 27.35 -00 13 57.5 23.7r 13TS187 W84 C~3clQ 2016 10 01.20395 00 37 28.130 -00 27 35.58 23.5r 13TS187 W84 C~4yRD 2016 10 01.20395 00 37 28.13 -00 27 35.5 23.6r 13TS187 W84 C~3clQ 2016 10 01.20532 00 37 28.120 -00 27 35.79 22.4i 13TS187 W84 C~4yRD 2016 10 01.20532 00 37 28.12 -00 27 35.8 22.6i 13TS187 W84 C~3clQ 2016 10 01.20671 00 37 28.122 -00 27 35.70 24.5g 13TS187 W84 C~4yRD 2016 10 23.13680 00 35 26.884 -00 40 14.53 23.5r 13TS187 W84 C~4yRD 2016 10 23.13680 00 35 26.88 -00 40 14.5 23.7r 13TS187 W84 C~3clQ 2016 11 06.18354 00 34 18.803 -00 46 42.18 23.5i 13TS187 W84 C~4yRD 2017 09 18.25253 00 46 28.878 +00 25 18.31 23.3i 13TS187 W84 C~4yRE 2017 09 18.25390 00 46 28.878 +00 25 18.14 23.6r 13TS187 W84 C~4yRE 2017 10 20.20967 00 43 30.802 +00 06 04.35 23.4z 13TS187 W84 C~4yRE 2018 10 10.26372 00 52 13.096 +00 56 22.94 23.5r 13TS187 W84 C~4yRE 2020 09 21.255740 01 09 21.531 +02 35 38.70 23.4G 13TS187 G37 C~49wo 2020 09 21.317220 01 09 21.138 +02 35 36.89 13TS187 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 -0.00 0.00 0.01
2 0.0000 0.00 -0.06 0.00 -0.00
3 0.0000 0.00 -0.11 0.00 -0.20
4 0.0712 0.00 0.17 0.00 -0.01
5 0.1094 0.00 0.04 0.00 -0.11
6 0.1094 0.00 0.02 0.00 0.03
7 0.1094 0.00 0.00 0.00 0.07
8 0.8464 0.00 0.02 0.00 -0.10
9 2.9081 0.00 -0.06 0.00 0.17
10 2.9081 0.00 -0.02 0.00 0.11
11 2.9081 0.00 0.19 0.00 0.12
12 2.9081 0.00 0.12 0.00 0.19
13 2.9680 0.00 -0.07 0.00 0.13
14 2.9680 0.00 -0.07 0.00 0.05
15 2.9680 0.00 -0.10 0.00 -0.11
16 2.9680 0.00 -0.10 0.00 -0.12
17 2.9680 0.00 0.05 0.00 0.03
18 3.0281 0.00 0.13 0.00 -0.09
19 3.0281 0.00 0.19 0.00 -0.12
20 3.0665 0.00 -0.11 0.00 0.12
21 3.9319 0.00 -0.12 0.00 0.03
22 3.9319 0.00 -0.00 0.00 -0.08
23 4.0194 0.00 -0.01 0.00 0.10
24 4.9914 0.00 -0.11 0.00 0.10
25 6.9408 0.00 0.56 0.00 -0.33
26 6.9409 0.00 -0.42 0.00 0.06
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.
13TS187 quality flag:3 Type: 5:4E 5:4E 5:4E axisobj 35.054 35.054 35.054 ecceobj 0.103 0.103 0.103 incobj 4.598 4.598 4.598 qmin 30.740 30.739 30.740 qmax 39.489 39.489 39.489 amean 34.943 34.943 34.943 amin 34.608 34.610 34.607 amax 35.305 35.305 35.304 emean 0.099 0.099 0.099 emin 0.080 0.080 0.080 emax 0.120 0.120 0.120 imean 2.946 2.946 2.946 imin 1.544 1.544 1.544 imax 4.357 4.357 4.357 excite_mean 0.113 0.113 0.113 fracstop 1.000 1.000 1.000 cjmean 3.003 3.003 3.003 libcent 0 179.6 179.6 179.7 libamp 0 70.9 71.0 71.1 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 179.2 179.0 179.2 kozaiamp 179.9 180.0 180.0