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: 13TW228 # Created Wed Dec 25 02:09:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.96y # First observation: 2013/10/13 # Last observation: 2019/09/27 # Chi-squared of fit: 3.80 DOF: 30 RMS: 0.08 # Min/Max residuals: -0.14 0.16 # Exact a, adot, b, bdot, g, gdot: 1.542294E-05 2.430730E-02 -7.945646E-08 -4.199196E-04 2.451645E-02 -9.821704E-04 # Covariance matrix: 4.9596E-13 -2.1128E-13 -4.5514E-15 2.5869E-15 1.6147E-13 -8.0115E-13 -2.1128E-13 2.1140E-13 2.2282E-15 -3.2113E-15 4.9570E-14 1.2916E-12 -4.5514E-15 2.2282E-15 3.4421E-13 -7.3412E-14 -1.0514E-14 7.6669E-15 2.5869E-15 -3.2113E-15 -7.3412E-14 2.0491E-14 1.7514E-16 -2.1046E-14 1.6147E-13 4.9570E-14 -1.0514E-14 1.7514E-16 7.5664E-13 8.3171E-13 -8.0115E-13 1.2916E-12 7.6669E-15 -2.1046E-14 8.3171E-13 9.0668E-12 # lat0 lon0 xBary yBary zBary JD0 -3.137303 1.092138 -0.316909 -0.051644 -0.944325 2456578.630948 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 321.10801 +/- 0.113 Argument of Peri: 295.44793 +/- 0.128 Long of Asc Node: 109.05443 +/- 0.006 Inclination: 3.21513 +/- 0.000 Eccentricity: 0.05345382 +/- 0.0001 Semi-Major Axis: 43.49134848 +/- 0.0066 Time of Perihelion: 2467896.2566 +/- 39.0 Perihelion: 41.16656970 +/- 0.0082 Aphelion: 45.81612725 +/- 0.0087 Period (y) 286.8220 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.65942207 +/- 0.0014 Ecliptic Y 1.11421616 +/- 0.0000 Ecliptic Z -2.23237075 +/- 0.0001 Ecliptic XDOT -0.00016997 +/- 0.0000 Ecliptic YDOT 0.00271042 +/- 0.0000 Ecliptic ZDOT -0.00004068 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.73409001 +/- 0.0014 Geocenter to KBO 40.78900612 +/- 0.0014 # Hcoef: 7.53
The following table shows the complete astrometric record for 13TW228. 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 (13TW228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.13017 00 09 00.097 -02 26 38.30 22.9i 13TW228 W84 C~52Rg 2013 11 22.11198 00 06 49.787 -02 38 46.33 23.8r 13TW228 W84 C~52Rg 2013 11 22.11335 00 06 49.781 -02 38 46.44 23.1i 13TW228 W84 C~52Rg 2014 10 29.13601 00 13 06.203 -02 00 57.12 23.1z 13TW228 W84 C~52Rg 2016 09 09.33710 00 26 55.317 -00 34 24.72 24.0r 13TW228 W84 C~52Rg 2016 09 09.33846 00 26 55.319 -00 34 24.62 23.0i 13TW228 W84 C~52Rg 2016 11 25.09405 00 22 00.792 -01 04 14.85 22.9i 13TW228 W84 C~52Rg 2016 11 25.09543 00 22 00.794 -01 04 14.98 23.3r 13TW228 W84 C~52Rg 2017 10 22.18847 00 28 58.776 -00 22 13.86 24.6g 13TW228 W84 C~52Rg 2017 10 27.16442 00 28 38.657 -00 24 12.98 22.8z 13TW228 W84 C~52Rg 2018 09 09.33142 00 37 17.300 +00 30 17.30 23.6r 13TW228 W84 C~52Rg 2018 09 09.33280 00 37 17.290 +00 30 17.35 23.1i 13TW228 W84 C~52Rg 2018 10 10.25683 00 35 01.788 +00 15 25.88 23.7r 13TW228 W84 C~52Rg 2018 10 10.25820 00 35 01.793 +00 15 25.79 23.3i 13TW228 W84 C~52Rg 2018 10 18.18917 00 34 26.935 +00 11 50.23 22.4z 13TW228 W84 C~52Rg 2019 09 27.31705 00 41 12.49 +00 54 07.0 25.1g 13TW228 T09 C~7bIF 2019 09 27.41297 00 41 12.06 +00 54 04.3 25.9g 13TW228 T09 C~7bIF 2019 09 27.58839 00 41 11.26 +00 53 59.3 25.5g 13TW228 T09 C~7bIF
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 0.1095 0.00 0.02 0.00 0.09
3 0.1095 0.00 -0.03 0.00 -0.01
4 1.0431 0.00 -0.07 0.00 -0.06
5 2.9082 0.00 -0.07 0.00 0.00
6 2.9082 0.00 0.05 0.00 0.14
7 3.1183 0.00 -0.03 0.00 -0.02
8 3.1183 0.00 0.05 0.00 -0.14
9 4.0248 0.00 -0.07 0.00 -0.12
10 4.0384 0.00 0.16 0.00 0.09
11 4.9068 0.00 0.05 0.00 -0.12
12 4.9068 0.00 -0.01 0.00 -0.03
13 4.9914 0.00 -0.12 0.00 0.15
14 4.9915 0.00 0.05 0.00 0.10
15 5.0132 0.00 0.11 0.00 -0.05
16 5.9553 0.00 -0.06 0.00 -0.10
17 5.9556 0.00 0.02 0.00 -0.00
18 5.9561 0.00 -0.02 0.00 0.12
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.
13TW228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.745 43.745 43.745 ecceobj 0.057 0.057 0.057 incobj 3.214 3.214 3.214 qmin 39.828 39.850 39.825 qmax 47.452 47.472 47.456 amean 43.526 43.526 43.526 amin 43.185 43.178 43.187 amax 43.883 43.889 43.883 emean 0.064 0.064 0.064 emin 0.044 0.044 0.044 emax 0.082 0.082 0.081 imean 2.009 2.009 2.009 imin 0.988 0.988 0.988 imax 2.852 2.852 2.851 excite_mean 0.074 0.074 0.074 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 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 173.4 173.2 173.6 kozaiamp 180.0 180.0 179.9