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: 13TX187 # Created Wed Dec 25 02:09:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 6.92y # First observation: 2013/09/09 # Last observation: 2020/08/12 # Chi-squared of fit: 16.19 DOF: 48 RMS: 0.14 # Min/Max residuals: -0.36 0.43 # Exact a, adot, b, bdot, g, gdot: 1.384120E-05 2.418446E-02 1.306473E-06 1.423275E-04 2.454152E-02 1.152870E-03 # Covariance matrix: 2.9586E-13 -1.2371E-14 -3.3261E-16 1.8699E-16 2.4516E-13 2.2936E-13 -1.2371E-14 8.8277E-14 -4.1374E-16 5.1149E-16 1.2714E-13 6.0883E-13 -3.3261E-16 -4.1374E-16 1.5559E-13 -3.3758E-14 -1.0234E-15 -3.3702E-15 1.8699E-16 5.1149E-16 -3.3758E-14 1.1310E-14 9.1500E-16 4.0659E-15 2.4516E-13 1.2714E-13 -1.0234E-15 9.1500E-16 5.3779E-13 1.0997E-12 2.2936E-13 6.0883E-13 -3.3702E-15 4.0659E-15 1.0997E-12 4.8427E-12 # lat0 lon0 xBary yBary zBary JD0 -0.354015 -0.238933 0.233830 -0.005973 -0.980619 2456544.691288 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 52.84313 +/- 0.101 Argument of Peri: 256.84359 +/- 0.119 Long of Asc Node: 45.16037 +/- 0.020 Inclination: 0.48280 +/- 0.000 Eccentricity: 0.04852858 +/- 0.0001 Semi-Major Axis: 42.91915164 +/- 0.0045 Time of Perihelion: 2441469.3658 +/- 29.0 Perihelion: 40.83634616 +/- 0.0052 Aphelion: 45.00195713 +/- 0.0056 Period (y) 281.1803 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.72550319 +/- 0.0012 Ecliptic Y -0.40480111 +/- 0.0000 Ecliptic Z -0.25172109 +/- 0.0000 Ecliptic XDOT 0.00013378 +/- 0.0000 Ecliptic YDOT 0.00269630 +/- 0.0000 Ecliptic ZDOT 0.00001522 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.72820077 +/- 0.0012 Geocenter to KBO 40.74726954 +/- 0.0012 # Hcoef: 7.05
The following table shows the complete astrometric record for 13TX187. 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 (13TX187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.19051 23 59 41.185 -00 25 11.44 23.1g 13TX187 W84 C~4yRE 2013 09 11.27138 23 59 32.085 -00 26 10.08 23.7g 13TX187 W84 C~4yRE 2013 10 12.11906 23 57 16.46 -00 40 48.3 22.7i 13TX187 W84 C~3clQ 2013 10 12.12044 23 57 16.453 -00 40 47.97 22.4z 13TX187 W84 C~4yRE 2013 10 13.07413 23 57 12.511 -00 41 13.28 22.7z 13TX187 W84 C~4yRE 2013 10 13.08744 23 57 12.443 -00 41 13.91 22.7i 13TX187 W84 C~4yRE 2013 11 08.13508 23 55 40.535 -00 51 00.05 22.8r 13TX187 W84 C~4yRE 2013 11 22.11942 23 55 09.141 -00 54 16.82 22.8z 13TX187 W84 C~4yRE 2014 10 21.20719 00 01 44.184 -00 11 11.85 23.1i 13TX187 W84 C~4yRE 2016 09 22.12035 00 13 52.162 +01 08 38.33 23.0r 13TX187 W84 C~4yRE 2016 09 22.12170 00 13 52.137 +01 08 38.35 24.5g 13TX187 W84 C~4yRE 2016 11 18.06482 00 10 16.119 +00 45 33.98 22.8i 13TX187 W84 C~4yRE 2016 11 18.06619 00 10 16.109 +00 45 33.95 23.4r 13TX187 W84 C~4yRE 2016 12 05.08620 00 09 48.188 +00 42 42.19 23.2r 13TX187 W84 C~4yRE 2016 12 05.08759 00 09 48.188 +00 42 41.96 22.6i 13TX187 W84 C~4yRE 2017 09 27.17180 00 18 32.489 +01 39 29.91 22.2z 13TX187 W84 C~4yRE 2017 09 27.17317 00 18 32.480 +01 39 30.02 23.2r 13TX187 W84 C~4yRE 2017 09 27.19103 00 18 32.394 +01 39 29.45 22.6i 13TX187 W84 C~4yRE 2017 09 27.19240 00 18 32.405 +01 39 29.22 24.7g 13TX187 W84 C~4yRE 2017 10 22.18020 00 16 44.408 +01 27 55.16 23.1r 13TX187 W84 C~4yRE 2018 09 17.30205 00 24 18.788 +02 17 23.27 23.0i 13TX187 W84 C~4yRE 2018 11 02.21045 00 21 04.18 +01 56 34.8 24.7g 13TX187 T09 C~7bIE 2018 11 02.25445 00 21 04.03 +01 56 33.9 24.3g 13TX187 T09 C~7bIE 2018 11 02.28398 00 21 03.93 +01 56 32.9 24.2g 13TX187 T09 C~7bIE 2018 11 08.10419 00 20 44.134 +01 54 27.59 23.4r 13TX187 W84 C~4yRE 2020 08 12.359190 00 36 27.326 +03 36 40.47 23.4G 13TX187 G37 C~441d 2020 08 12.430690 00 36 27.129 +03 36 39.30 13TX187 G37 C~441d
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 0.43 0.00 -0.09
2 0.0057 0.00 -0.15 0.00 0.20
3 0.0902 0.00 -0.01 0.00 -0.36
4 0.0902 0.00 -0.03 0.00 0.01
5 0.0928 0.00 0.11 0.00 0.12
6 0.0928 0.00 -0.07 0.00 -0.15
7 0.1641 0.00 -0.30 0.00 0.25
8 0.2024 0.00 0.17 0.00 -0.02
9 1.1144 0.00 -0.03 0.00 0.04
10 3.0361 0.00 0.07 0.00 -0.02
11 3.0361 0.00 -0.21 0.00 0.04
12 3.1920 0.00 0.04 0.00 0.11
13 3.1920 0.00 -0.06 0.00 0.10
14 3.2386 0.00 -0.10 0.00 0.07
15 3.2386 0.00 -0.08 0.00 -0.15
16 4.0492 0.00 0.03 0.00 -0.09
17 4.0492 0.00 -0.01 0.00 0.06
18 4.0493 0.00 -0.08 0.00 0.01
19 4.0493 0.00 0.18 0.00 -0.18
20 4.1177 0.00 0.06 0.00 0.01
21 5.0215 0.00 -0.09 0.00 0.01
22 5.1472 0.00 -0.06 0.00 0.11
23 5.1473 0.00 0.09 0.00 0.20
24 5.1474 0.00 0.20 0.00 -0.13
25 5.1634 0.00 0.10 0.00 -0.05
26 6.9245 0.00 0.03 0.00 -0.03
27 6.9247 0.00 -0.10 0.00 -0.01
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.
13TX187 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.157 43.158 43.157 ecceobj 0.053 0.053 0.053 incobj 0.482 0.482 0.482 qmin 40.074 40.096 40.047 qmax 46.104 46.101 46.093 amean 42.963 42.963 42.963 amin 42.628 42.637 42.623 amax 43.312 43.314 43.306 emean 0.047 0.047 0.047 emin 0.024 0.024 0.024 emax 0.064 0.064 0.064 imean 1.979 1.979 1.979 imin 0.732 0.732 0.732 imax 2.700 2.701 2.700 excite_mean 0.058 0.058 0.058 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 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 177.1 177.2 177.3 kozaiamp 180.0 180.0 180.0