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: 13TO228 # Created Wed Dec 25 02:09:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 6.05y # First observation: 2013/10/13 # Last observation: 2019/11/01 # Chi-squared of fit: 8.95 DOF: 30 RMS: 0.12 # Min/Max residuals: -0.28 0.30 # Exact a, adot, b, bdot, g, gdot: 1.439028E-05 2.008948E-02 5.712266E-07 1.120276E-03 2.220362E-02 2.345734E-04 # Covariance matrix: 2.3276E-13 -1.2979E-13 2.5449E-15 -5.3306E-15 4.7563E-14 -8.2234E-13 -1.2979E-13 2.1136E-13 -6.0028E-15 1.1561E-14 3.8301E-14 1.7771E-12 2.5449E-15 -6.0028E-15 1.7780E-13 -3.9509E-14 -2.3819E-15 -5.4668E-14 -5.3306E-15 1.1561E-14 -3.9509E-14 1.6750E-14 2.4417E-15 1.0520E-13 4.7563E-14 3.8301E-14 -2.3819E-15 2.4417E-15 3.3398E-13 3.6070E-13 -8.2234E-13 1.7771E-12 -5.4668E-14 1.0520E-13 3.6070E-13 1.6171E-11 # lat0 lon0 xBary yBary zBary JD0 -0.841473 5.323250 -0.245672 -0.014085 -0.966598 2456578.595508 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 160.73922 +/- 0.242 Argument of Peri: 183.16122 +/- 0.240 Long of Asc Node: 20.06131 +/- 0.001 Inclination: 3.30275 +/- 0.000 Eccentricity: 0.04597652 +/- 0.0001 Semi-Major Axis: 44.08189966 +/- 0.0044 Time of Perihelion: 2408846.6540 +/- 72.1 Perihelion: 42.05516714 +/- 0.0054 Aphelion: 46.10863217 +/- 0.0057 Period (y) 292.6838 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.77781011 +/- 0.0012 Ecliptic Y 4.51527713 +/- 0.0001 Ecliptic Z -0.66142555 +/- 0.0000 Ecliptic XDOT -0.00020517 +/- 0.0000 Ecliptic YDOT 0.00246791 +/- 0.0000 Ecliptic ZDOT 0.00013784 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.00469812 +/- 0.0012 Geocenter to KBO 45.03773588 +/- 0.0012 # Hcoef: 7.16
The following table shows the complete astrometric record for 13TO228. 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 (13TO228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.09473 00 20 52.750 +01 20 32.31 23.1z 13TO228 W84 C~52Rf 2013 10 13.11927 00 20 52.654 +01 20 31.79 23.2i 13TO228 W84 C~52Rf 2013 11 22.07262 00 18 44.668 +01 07 38.91 23.7r 13TO228 W84 C~52Rf 2013 11 22.07399 00 18 44.662 +01 07 39.10 23.1i 13TO228 W84 C~52Rf 2013 11 23.09272 00 18 42.559 +01 07 27.15 23.6r 13TO228 W84 C~52Rf 2013 11 23.09414 00 18 42.542 +01 07 27.06 22.7i 13TO228 W84 C~52Rf 2014 08 18.31064 00 28 32.743 +02 13 49.96 23.8i 13TO228 W84 C~52Rf 2014 10 28.18822 00 24 03.370 +01 45 33.82 23.6r 13TO228 W84 C~52Rf 2014 10 29.13917 00 23 59.999 +01 45 12.97 23.5z 13TO228 W84 C~52Rf 2016 11 18.09930 00 31 08.755 +02 40 07.35 23.2i 13TO228 W84 C~52Rf 2016 11 18.10069 00 31 08.750 +02 40 07.33 23.6r 13TO228 W84 C~52Rf 2016 11 28.10122 00 30 46.420 +02 37 58.58 23.1r 13TO228 W84 C~52Rf 2017 08 22.32044 00 40 38.339 +03 43 59.64 24.2r 13TO228 W84 C~52Rf 2017 08 22.32182 00 40 38.343 +03 43 59.61 23.7i 13TO228 W84 C~52Rf 2018 11 26.06832 00 39 01.357 +03 39 08.98 24.2g 13TO228 W84 C~52Rf 2019 11 01.27583 00 44 23.13 +04 17 01.1 25.4g 13TO228 T09 C~83Bh 2019 11 01.33193 00 44 22.92 +04 17 00.1 25.0g 13TO228 T09 C~83Bh 2019 11 01.50543 00 44 22.27 +04 16 55.9 25.4g 13TO228 T09 C~83Bh
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 -0.03 0.00 0.04
2 0.0001 0.00 0.02 0.00 0.12
3 0.1095 0.00 0.16 0.00 -0.11
4 0.1095 0.00 0.12 0.00 0.10
5 0.1122 0.00 -0.07 0.00 -0.06
6 0.1123 0.00 -0.28 0.00 -0.14
7 0.8466 0.00 0.18 0.00 0.01
8 1.0406 0.00 -0.06 0.00 0.24
9 1.0432 0.00 -0.01 0.00 -0.01
10 3.0993 0.00 0.10 0.00 -0.13
11 3.0993 0.00 0.08 0.00 -0.13
12 3.1266 0.00 0.01 0.00 0.01
13 3.8582 0.00 -0.18 0.00 0.03
14 3.8583 0.00 -0.06 0.00 0.02
15 5.1197 0.00 0.11 0.00 -0.27
16 6.0511 0.00 0.03 0.00 0.05
17 6.0513 0.00 0.02 0.00 0.30
18 6.0518 0.00 -0.06 0.00 -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.
13TO228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.331 44.331 44.331 ecceobj 0.041 0.041 0.041 incobj 3.292 3.292 3.292 qmin 41.306 41.274 41.316 qmax 47.156 47.143 47.170 amean 44.118 44.118 44.118 amin 43.774 43.775 43.774 amax 44.471 44.473 44.472 emean 0.045 0.045 0.045 emin 0.029 0.029 0.029 emax 0.061 0.061 0.061 imean 3.234 3.234 3.234 imin 2.520 2.520 2.520 imax 3.798 3.798 3.799 excite_mean 0.072 0.072 0.072 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 178.6 178.6 178.5 kozaiamp 180.0 180.0 180.0