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: 13TY228 # Created Sun Nov 24 02:09:42 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 3.93y # First observation: 2013/10/13 # Last observation: 2017/09/18 Preliminary a, adot, b, bdot, g, gdot: 0.000096 0.016461 -0.000007 0.000179 0.020259 0.000000 # Chi-squared of fit: 1.43 DOF: 12 RMS: 0.07 # Min/Max residuals: -0.13 0.11 # Exact a, adot, b, bdot, g, gdot: 1.275378E-05 1.654468E-02 2.350778E-07 1.789752E-04 2.007907E-02 9.688745E-04 # Covariance matrix: 5.6228E-13 -2.8957E-13 -6.9046E-15 8.4541E-16 3.6514E-13 -1.4858E-12 -2.8957E-13 8.2641E-13 -6.1153E-15 9.3426E-15 2.5615E-13 1.1760E-11 -6.9046E-15 -6.1153E-15 4.2787E-13 -1.3134E-13 -3.5582E-14 -1.7170E-13 8.4541E-16 9.3426E-15 -1.3134E-13 6.5502E-14 1.4587E-14 1.7071E-13 3.6514E-13 2.5615E-13 -3.5582E-14 1.4587E-14 1.8017E-12 7.9085E-12 -1.4858E-12 1.1760E-11 -1.7170E-13 1.7071E-13 7.9085E-12 1.9082E-10 # lat0 lon0 xBary yBary zBary JD0 -4.822686 2.390837 -0.295515 -0.079975 -0.949273 2456578.638338 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 150.44440 +/- 0.284 Argument of Peri: 120.32060 +/- 0.278 Long of Asc Node: 85.09623 +/- 0.011 Inclination: 4.77436 +/- 0.000 Eccentricity: 0.13936906 +/- 0.0003 Semi-Major Axis: 45.10419739 +/- 0.0102 Time of Perihelion: 2410332.6756 +/- 85.7 Perihelion: 38.81806781 +/- 0.0168 Aphelion: 51.39032696 +/- 0.0185 Period (y) 302.9240 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 50.52253266 +/- 0.0033 Ecliptic Y 2.40828393 +/- 0.0001 Ecliptic Z -4.18708775 +/- 0.0003 Ecliptic XDOT 0.00003330 +/- 0.0000 Ecliptic YDOT 0.00225809 +/- 0.0000 Ecliptic ZDOT 0.00001335 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.75290969 +/- 0.0033 Geocenter to KBO 49.80309444 +/- 0.0033 # Hcoef: 6.86
The following table shows the complete astrometric record for 13TY228. 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 (13TY228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.13756 00 16 26.957 -03 28 27.32 23.3i 13TY228 W84 C~52Rg 2013 11 22.10606 00 14 31.344 -03 38 15.67 24.2r 13TY228 W84 C~52Rg 2013 11 22.10744 00 14 31.330 -03 38 15.87 23.5i 13TY228 W84 C~52Rg 2014 10 02.23933 00 20 36.113 -03 01 03.21 23.9r 13TY228 W84 C~52Rg 2016 09 09.34394 00 28 52.018 -02 05 34.67 23.5i 13TY228 W84 C~52Rg 2016 10 01.19983 00 27 31.294 -02 14 30.78 23.7r 13TY228 W84 C~52Rg 2016 11 18.07031 00 24 55.293 -02 28 53.67 24.3r 13TY228 W84 C~52Rg 2017 09 18.23881 00 31 46.515 -01 45 59.55 23.9i 13TY228 W84 C~52Rg 2017 09 18.24019 00 31 46.515 -01 45 59.54 23.5r 13TY228 W84 C~52Rg
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 0.06 0.00 -0.02
2 0.1094 -1822.08 0.11 148.99 0.10
3 0.1094 -1822.36 -0.12 148.89 -0.01
4 0.9695 4077.97 -0.08 20.35 -0.09
5 2.9082 12233.88 0.05 99.72 0.08
6 2.9680 10906.28 0.02 93.02 0.04
7 3.0991 8412.83 0.01 237.90 -0.13
8 3.9318 15114.17 -0.06 128.03 0.02
9 3.9318 15114.18 0.03 128.04 0.03
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.
13TY228 quality flag:2 Type: CLASSICAL CLASSICAL 11:6EEEEE axisobj 45.346 45.378 45.315 ecceobj 0.134 0.134 0.135 incobj 4.776 4.776 4.776 qmin 38.173 38.263 38.229 qmax 52.460 52.498 52.379 amean 45.145 45.183 45.103 amin 44.741 44.804 44.708 amax 45.562 45.629 45.545 emean 0.132 0.135 0.139 emin 0.114 0.119 0.128 emax 0.152 0.151 0.150 imean 2.825 2.952 3.036 imin 2.038 2.291 2.409 imax 3.590 3.655 3.638 excite_mean 0.141 0.145 0.149 fracstop 1.000 1.000 1.000 cjmean 3.091 3.090 3.088 libcent 0 -180.0 -180.0 176.7 libamp 0 -180.0 -180.0 117.9 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 187.5 183.2 188.6 kozaiamp 179.9 180.0 180.0