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: 13TX228 # Created Tue Apr 1 01:09:49 2025 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 4.91y # First observation: 2013/10/13 # Last observation: 2018/09/09 Preliminary a, adot, b, bdot, g, gdot: -0.000071 0.021649 -0.000004 -0.000312 0.023369 0.000000 # Chi-squared of fit: 3.18 DOF: 14 RMS: 0.10 # Min/Max residuals: -0.17 0.21 # Exact a, adot, b, bdot, g, gdot: 1.509738E-05 2.162696E-02 1.169170E-07 -3.109058E-04 2.310795E-02 3.522391E-04 # Covariance matrix: 6.3441E-13 -3.4270E-13 1.2726E-16 2.6318E-15 -1.3062E-13 -1.9942E-12 -3.4270E-13 5.4113E-13 -8.2790E-16 -6.1562E-15 3.4983E-13 4.7411E-12 1.2726E-16 -8.2790E-16 5.4555E-13 -1.3290E-13 -1.0499E-14 -1.2535E-14 2.6318E-15 -6.1562E-15 -1.3290E-13 4.4410E-14 -2.9101E-15 -5.8084E-14 -1.3062E-13 3.4983E-13 -1.0499E-14 -2.9101E-15 1.0096E-12 3.6952E-12 -1.9942E-12 4.7411E-12 -1.2535E-14 -5.8084E-14 3.6952E-12 4.5413E-11 # lat0 lon0 xBary yBary zBary JD0 -3.312983 0.757821 -0.322422 -0.054432 -0.942300 2456578.630948 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 131.37414 +/- 0.440 Argument of Peri: 122.23078 +/- 0.436 Long of Asc Node: 105.15050 +/- 0.009 Inclination: 3.34089 +/- 0.000 Eccentricity: 0.02883035 +/- 0.0002 Semi-Major Axis: 43.37156031 +/- 0.0064 Time of Perihelion: 2418497.8256 +/- 127.3 Perihelion: 42.12114289 +/- 0.0121 Aphelion: 44.62197772 +/- 0.0123 Period (y) 285.6379 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.13807639 +/- 0.0019 Ecliptic Y 0.90936224 +/- 0.0000 Ecliptic Z -2.50090991 +/- 0.0001 Ecliptic XDOT -0.00000053 +/- 0.0000 Ecliptic YDOT 0.00256124 +/- 0.0000 Ecliptic ZDOT -0.00003905 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.21822337 +/- 0.0019 Geocenter to KBO 43.27515871 +/- 0.0019 # Hcoef: 7.11
The following table shows the complete astrometric record for 13TX228. 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 (13TX228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.13017 00 08 03.339 -02 44 16.87 23.3i 13TX228 W84 C~52Rg 2013 11 23.09986 00 05 57.381 -02 55 49.55 23.6i 13TX228 W84 C~52Rg 2014 08 18.30134 00 16 19.841 -01 50 42.85 23.4i 13TX228 W84 C~52Rg 2016 11 18.06894 00 19 41.170 -01 30 06.25 24.0r 13TX228 W84 C~52Rg 2017 09 27.21439 00 27 24.564 -00 42 43.10 23.5i 13TX228 W84 C~52Rg 2017 09 27.21575 00 27 24.559 -00 42 42.95 24.1r 13TX228 W84 C~52Rg 2017 10 27.16442 00 25 21.762 -00 55 22.94 22.9z 13TX228 W84 C~52Rg 2017 10 29.12934 00 25 14.554 -00 56 04.72 22.7i 13TX228 W84 C~52Rg 2018 09 09.32865 00 33 11.848 -00 05 44.16 22.9r 13TX228 W84 C~52Rg 2018 09 09.33003 00 33 11.813 -00 05 44.10 23.3i 13TX228 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 -0.07
2 0.1122 -2006.91 0.04 115.58 0.01
3 0.8465 8110.06 0.05 -21.21 0.08
4 3.0991 11378.70 0.01 -94.43 0.03
5 3.9564 18926.62 -0.10 -271.33 -0.01
6 3.9564 18926.62 -0.01 -271.16 0.16
7 4.0384 16919.57 -0.01 -229.71 -0.09
8 4.0438 16803.01 0.06 -224.69 -0.16
9 4.9068 24651.93 0.21 -325.90 -0.11
10 4.9068 24651.46 -0.17 -325.63 0.16
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.
13TX228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.614 43.634 43.595 ecceobj 0.026 0.026 0.026 incobj 3.341 3.341 3.341 qmin 41.558 41.606 41.511 qmax 45.439 45.426 45.458 amean 43.421 43.442 43.402 amin 43.082 43.114 43.065 amax 43.767 43.783 43.739 emean 0.022 0.022 0.022 emin 0.003 0.004 0.004 emax 0.039 0.038 0.039 imean 1.811 1.809 1.813 imin 0.982 0.989 0.977 imax 2.502 2.495 2.507 excite_mean 0.039 0.039 0.039 fracstop 1.000 1.000 1.000 cjmean 3.093 3.093 3.093 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 192.9 192.1 193.7 kozaiamp 180.0 180.0 180.0