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: 13TP228 # Created Wed Dec 25 02:09:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 6.06y # First observation: 2013/10/13 # Last observation: 2019/11/05 # Chi-squared of fit: 6.17 DOF: 40 RMS: 0.09 # Min/Max residuals: -0.26 0.27 # Exact a, adot, b, bdot, g, gdot: 1.379595E-05 1.996258E-02 -1.401363E-07 -1.087164E-03 2.199261E-02 6.605109E-04 # Covariance matrix: 3.2256E-13 -1.6697E-13 -5.0845E-15 6.4318E-15 8.6694E-14 -1.0476E-12 -1.6697E-13 1.8040E-13 7.1842E-15 -9.3611E-15 -7.0001E-14 1.5264E-12 -5.0845E-15 7.1842E-15 2.4266E-13 -5.5322E-14 -4.8922E-15 6.7140E-14 6.4318E-15 -9.3611E-15 -5.5322E-14 1.7458E-14 4.1780E-15 -8.7411E-14 8.6694E-14 -7.0001E-14 -4.8922E-15 4.1780E-15 4.6957E-13 -6.6841E-13 -1.0476E-12 1.5264E-12 6.7140E-14 -8.7411E-14 -6.6841E-13 1.4252E-11 # lat0 lon0 xBary yBary zBary JD0 -1.251576 0.516185 -0.325887 -0.020479 -0.942465 2456578.599688 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 125.14389 +/- 0.226 Argument of Peri: 72.09741 +/- 0.216 Long of Asc Node: 159.43595 +/- 0.003 Inclination: 3.34437 +/- 0.000 Eccentricity: 0.04725438 +/- 0.0001 Semi-Major Axis: 45.12096653 +/- 0.0063 Time of Perihelion: 2418095.1243 +/- 70.0 Perihelion: 42.98880301 +/- 0.0080 Aphelion: 47.25313005 +/- 0.0085 Period (y) 303.0929 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.39633287 +/- 0.0014 Ecliptic Y 0.74696177 +/- 0.0000 Ecliptic Z -0.99320599 +/- 0.0000 Ecliptic XDOT 0.00005069 +/- 0.0000 Ecliptic YDOT 0.00248430 +/- 0.0000 Ecliptic ZDOT -0.00013696 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.41294905 +/- 0.0014 Geocenter to KBO 45.46983388 +/- 0.0014 # Hcoef: 6.70
The following table shows the complete astrometric record for 13TP228. 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 (13TP228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.09891 00 03 53.150 -00 56 34.71 22.6z 13TP228 W84 C~52Rf 2013 10 13.12596 00 03 53.028 -00 56 35.28 22.9i 13TP228 W84 C~52Rf 2013 11 22.06122 00 01 56.992 -01 08 49.37 23.5r 13TP228 W84 C~52Rf 2013 11 22.08831 00 01 56.941 -01 08 49.69 23.1i 13TP228 W84 C~52Rf 2013 11 23.09553 00 01 55.264 -01 08 59.78 23.7i 13TP228 W84 C~52Rf 2016 09 10.32821 00 18 53.230 +00 29 08.56 23.5i 13TP228 W84 C~52Rf 2016 09 10.32957 00 18 53.227 +00 29 08.68 23.2r 13TP228 W84 C~52Rf 2016 09 10.33095 00 18 53.212 +00 29 08.51 24.2g 13TP228 W84 C~52Rf 2016 09 11.16744 00 18 50.008 +00 28 46.70 23.0z 13TP228 W84 C~52Rf 2016 11 18.06482 00 14 47.995 +00 02 37.89 23.2i 13TP228 W84 C~52Rf 2016 11 18.06619 00 14 47.980 +00 02 38.02 23.0r 13TP228 W84 C~52Rf 2017 09 27.24362 00 22 02.894 +00 45 25.83 23.2i 13TP228 W84 C~52Rf 2017 09 27.24501 00 22 02.891 +00 45 25.70 23.2r 13TP228 W84 C~52Rf 2017 09 27.24640 00 22 02.867 +00 45 25.68 24.5g 13TP228 W84 C~52Rf 2017 10 22.18159 00 20 24.689 +00 34 45.54 23.5r 13TP228 W84 C~52Rf 2017 10 22.18295 00 20 24.682 +00 34 45.77 23.6i 13TP228 W84 C~52Rf 2017 10 27.16579 00 20 06.853 +00 32 52.27 22.4z 13TP228 W84 C~52Rf 2017 10 29.14258 00 20 00.079 +00 32 09.05 22.8z 13TP228 W84 C~52Rf 2017 11 09.06013 00 19 25.807 +00 28 34.91 23.6r 13TP228 W84 C~52Rf 2019 11 05.30343 00 28 08.09 +01 17 03.3 23.0y 13TP228 T09 C~85E1 2019 11 05.30610 00 28 08.08 +01 17 03.3 22.6y 13TP228 T09 C~85E1 2019 11 05.34702 00 28 07.95 +01 17 02.4 23.2y 13TP228 T09 C~85E1 2019 11 05.36065 00 28 07.91 +01 17 02.2 23.0y 13TP228 T09 C~85E1
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 0.16 0.00 -0.08
2 0.0001 0.00 -0.10 0.00 0.02
3 0.1094 0.00 -0.02 0.00 0.13
4 0.1095 0.00 -0.07 0.00 0.09
5 0.1122 0.00 0.00 0.00 -0.03
6 2.9110 0.00 0.04 0.00 -0.11
7 2.9110 0.00 0.07 0.00 0.05
8 2.9110 0.00 -0.07 0.00 -0.08
9 2.9133 0.00 0.02 0.00 -0.02
10 3.0992 0.00 0.09 0.00 -0.03
11 3.0992 0.00 -0.09 0.00 0.12
12 3.9566 0.00 0.08 0.00 0.10
13 3.9566 0.00 0.12 0.00 0.00
14 3.9566 0.00 -0.16 0.00 0.02
15 4.0249 0.00 0.01 0.00 -0.26
16 4.0249 0.00 -0.02 0.00 0.01
17 4.0385 0.00 -0.09 0.00 0.06
18 4.0439 0.00 0.27 0.00 -0.10
19 4.0738 0.00 -0.04 0.00 -0.02
20 6.0622 0.00 -0.05 0.00 0.03
21 6.0622 0.00 -0.07 0.00 0.09
22 6.0623 0.00 -0.01 0.00 -0.00
23 6.0623 0.00 0.06 0.00 0.07
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.
13TP228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.383 45.383 45.383 ecceobj 0.045 0.045 0.045 incobj 3.334 3.334 3.334 qmin 42.385 42.398 42.378 qmax 48.172 48.142 48.154 amean 45.181 45.181 45.181 amin 44.826 44.826 44.832 amax 45.546 45.547 45.546 emean 0.044 0.044 0.044 emin 0.031 0.031 0.031 emax 0.058 0.058 0.057 imean 3.101 3.101 3.101 imin 2.636 2.636 2.636 imax 3.512 3.512 3.513 excite_mean 0.070 0.070 0.070 fracstop 1.000 1.000 1.000 cjmean 3.110 3.110 3.110 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 176.5 176.5 176.7 kozaiamp 180.0 179.9 180.0