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: 13TT228 # Created Wed May 8 01:15:27 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 4.99y # First observation: 2013/10/13 # Last observation: 2018/10/10 Preliminary a, adot, b, bdot, g, gdot: -0.000167 0.024617 0.000002 -0.000181 0.024121 0.000000 # Chi-squared of fit: 5.71 DOF: 14 RMS: 0.13 # Min/Max residuals: -0.25 0.31 # Exact a, adot, b, bdot, g, gdot: 1.634297E-05 2.432192E-02 3.561600E-07 -1.779141E-04 2.447583E-02 -1.344035E-03 # Covariance matrix: 9.5298E-13 -8.8626E-13 -8.0660E-15 6.5818E-15 1.5201E-12 -5.4705E-12 -8.8626E-13 1.2724E-12 9.5489E-15 -9.7885E-15 -1.5415E-12 9.2414E-12 -8.0660E-15 9.5489E-15 3.5411E-13 -9.7931E-14 -2.3071E-14 6.2113E-14 6.5818E-15 -9.7885E-15 -9.7931E-14 4.6065E-14 1.3964E-14 -7.2283E-14 1.5201E-12 -1.5415E-12 -2.3071E-14 1.3964E-14 4.9764E-12 -8.9141E-12 -5.4705E-12 9.2414E-12 6.2113E-14 -7.2283E-14 -8.9141E-12 7.2039E-11 # lat0 lon0 xBary yBary zBary JD0 -1.409762 2.262054 -0.297280 -0.023310 -0.951807 2456578.615658 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 316.77664 +/- 0.307 Argument of Peri: 302.54741 +/- 0.366 Long of Asc Node: 109.15949 +/- 0.020 Inclination: 1.43670 +/- 0.000 Eccentricity: 0.06976313 +/- 0.0002 Semi-Major Axis: 43.93542306 +/- 0.0190 Time of Perihelion: 2469341.8474 +/- 90.2 Perihelion: 40.87035045 +/- 0.0202 Aphelion: 47.00049567 +/- 0.0225 Period (y) 291.2262 +/- 0.19 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.75153497 +/- 0.0037 Ecliptic Y 1.94984679 +/- 0.0001 Ecliptic Z -1.00519284 +/- 0.0001 Ecliptic XDOT -0.00026422 +/- 0.0000 Ecliptic YDOT 0.00271112 +/- 0.0000 Ecliptic ZDOT -0.00001606 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.80912565 +/- 0.0037 Geocenter to KBO 40.85663389 +/- 0.0037 # Hcoef: 7.82
The following table shows the complete astrometric record for 13TT228. 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 (13TT228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.11488 00 10 32.624 -00 23 38.46 23.7i 13TT228 W84 C~52Rg 2013 11 08.16530 00 08 56.446 -00 33 34.51 24.1r 13TT228 W84 C~52Rg 2013 11 22.07119 00 08 21.644 -00 36 57.27 23.4i 13TT228 W84 C~52Rg 2014 10 02.24991 00 16 29.269 +00 14 14.28 23.9r 13TT228 W84 C~52Rg 2014 10 28.19540 00 14 40.878 +00 02 48.66 24.1r 13TT228 W84 C~52Rg 2016 10 02.18024 00 26 45.585 +01 19 35.57 23.2i 13TT228 W84 C~52Rg 2016 10 02.18163 00 26 45.563 +01 19 35.40 23.8r 13TT228 W84 C~52Rg 2017 09 27.19789 00 32 19.320 +01 54 56.87 24.2i 13TT228 W84 C~52Rg 2017 09 27.19925 00 32 19.313 +01 54 56.73 24.0r 13TT228 W84 C~52Rg 2018 10 10.25546 00 36 33.039 +02 21 39.48 23.8i 13TT228 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 -0.13 0.00 -0.10
2 0.0713 -1560.71 0.13 26.42 0.11
3 0.1094 -2120.35 -0.08 47.81 -0.08
4 0.9696 5813.80 0.09 -41.12 -0.19
5 1.0406 4048.35 0.08 -23.92 0.31
6 2.9707 15884.35 0.02 -115.28 -0.08
7 2.9708 15883.98 -0.25 -115.30 -0.11
8 3.9564 21363.91 0.13 -153.15 0.16
9 3.9564 21363.76 0.08 -153.24 0.07
10 4.9915 25544.26 -0.05 -188.06 -0.09
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.
13TT228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.192 44.251 44.134 ecceobj 0.073 0.073 0.072 incobj 1.436 1.436 1.436 qmin 39.702 39.757 39.594 qmax 48.475 48.505 48.415 amean 43.961 44.019 43.905 amin 43.613 43.670 43.557 amax 44.336 44.391 44.283 emean 0.077 0.077 0.078 emin 0.059 0.059 0.060 emax 0.094 0.093 0.094 imean 0.976 0.944 1.005 imin 0.028 0.028 0.074 imax 1.535 1.505 1.565 excite_mean 0.079 0.079 0.080 fracstop 1.000 1.000 1.000 cjmean 3.093 3.094 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 191.5 192.0 192.6 kozaiamp 180.0 180.0 180.0