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: 13TR227 # Created Sat Apr 20 01:15:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 5.16y # First observation: 2013/10/03 # Last observation: 2018/11/29 # Chi-squared of fit: 7.08 DOF: 24 RMS: 0.12 # Min/Max residuals: -0.30 0.29 # Exact a, adot, b, bdot, g, gdot: 1.453109E-05 2.429020E-02 -3.489752E-06 -8.479773E-03 2.600493E-02 4.574118E-03 # Covariance matrix: 3.8068E-13 -1.5363E-13 -1.1934E-14 2.7523E-14 8.5844E-14 -8.0406E-13 -1.5363E-13 3.4867E-13 4.8877E-14 -1.2440E-13 1.8102E-13 3.5158E-12 -1.1934E-14 4.8877E-14 3.4133E-13 -1.1208E-13 2.0264E-14 5.5825E-13 2.7523E-14 -1.2440E-13 -1.1208E-13 8.6455E-14 -6.1425E-14 -1.4116E-12 8.5844E-14 1.8102E-13 2.0264E-14 -6.1425E-14 5.2411E-13 1.6455E-12 -8.0406E-13 3.5158E-12 5.5825E-13 -1.4116E-12 1.6455E-12 3.9979E-11 # lat0 lon0 xBary yBary zBary JD0 -9.749337 28.109515 0.313343 -0.160816 -0.936618 2456568.749008 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 77.73216 +/- 0.040 Argument of Peri: 110.22183 +/- 0.031 Long of Asc Node: 182.43075 +/- 0.001 Inclination: 21.47239 +/- 0.000 Eccentricity: 0.16434377 +/- 0.0002 Semi-Major Axis: 39.71913340 +/- 0.0054 Time of Perihelion: 2436826.2652 +/- 10.8 Perihelion: 33.19154110 +/- 0.0104 Aphelion: 46.24672571 +/- 0.0113 Period (y) 250.3271 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.41381529 +/- 0.0009 Ecliptic Y 18.03067405 +/- 0.0005 Ecliptic Z -6.51193286 +/- 0.0002 Ecliptic XDOT -0.00092578 +/- 0.0000 Ecliptic YDOT 0.00240671 +/- 0.0000 Ecliptic ZDOT -0.00096128 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.39306135 +/- 0.0008 Geocenter to KBO 38.45417609 +/- 0.0011 # Hcoef: 7.82
The following table shows the complete astrometric record for 13TR227. 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 (13TR227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.24823 01 58 18.717 +01 40 53.65 24.7g 13TR227 W84 C~52Re 2013 10 04.18849 01 58 14.524 +01 40 21.15 24.5g 13TR227 W84 C~52Re 2013 11 08.21389 01 55 28.704 +01 22 00.89 23.8r 13TR227 W84 C~52Re 2013 11 13.14978 01 55 06.210 +01 19 58.96 22.6z 13TR227 W84 C~52Re 2016 01 10.05637 02 04 04.341 +01 17 03.30 24.3r 13TR227 W84 C~52Re 2016 09 10.37651 02 17 07.057 +01 59 10.87 23.5r 13TR227 W84 C~52Re 2016 09 10.37787 02 17 07.051 +01 59 11.17 24.2g 13TR227 W84 C~52Re 2016 10 28.22883 02 13 48.760 +01 32 44.60 23.4r 13TR227 W84 C~52Re 2016 10 28.23021 02 13 48.763 +01 32 44.54 23.4i 13TR227 W84 C~52Re 2016 10 28.23160 02 13 48.750 +01 32 44.46 24.2g 13TR227 W84 C~52Re 2016 11 03.22984 02 13 19.818 +01 29 54.00 24.2r 13TR227 W84 C~52Re 2017 10 13.24804 02 20 44.032 +01 42 24.84 23.7r 13TR227 W84 C~52Re 2017 11 16.18502 02 18 03.227 +01 26 25.50 23.3r 13TR227 W84 C~52Re 2018 01 05.06676 02 15 26.272 +01 20 01.75 24.6g 13TR227 W84 C~52Re 2018 11 29.17757 02 22 47.656 +01 24 13.45 24.5g 13TR227 W84 C~52Re
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 0.17 0.00 -0.30
2 0.0026 0.00 -0.10 0.00 0.00
3 0.0985 0.00 -0.06 0.00 0.09
4 0.1120 0.00 -0.05 0.00 0.17
5 2.2692 0.00 0.12 0.00 0.03
6 2.9381 0.00 0.10 0.00 -0.05
7 2.9381 0.00 0.07 0.00 0.29
8 3.0691 0.00 -0.08 0.00 -0.04
9 3.0691 0.00 0.07 0.00 -0.06
10 3.0691 0.00 -0.02 0.00 -0.10
11 3.0855 0.00 -0.13 0.00 0.09
12 4.0274 0.00 0.01 0.00 -0.12
13 4.1203 0.00 -0.19 0.00 -0.06
14 4.2569 0.00 0.10 0.00 0.11
15 5.1552 0.00 0.07 0.00 -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.
13TR227 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.931 39.931 39.930 ecceobj 0.167 0.167 0.167 incobj 21.411 21.411 21.411 qmin 32.626 32.580 32.022 qmax 47.093 47.092 47.641 amean 39.456 39.457 39.457 amin 38.973 38.963 38.958 amax 40.027 40.015 40.040 emean 0.141 0.139 0.146 emin 0.099 0.099 0.100 emax 0.177 0.177 0.190 imean 22.062 22.051 21.925 imin 21.002 21.002 21.002 imax 22.948 23.040 22.943 excite_mean 0.401 0.400 0.401 fracstop 1.000 1.000 1.000 cjmean 2.864 2.864 2.864 libcent 0 178.0 178.2 178.5 libamp 0 137.0 137.1 137.4 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 177.4 178.6 187.3 kozaiamp 180.0 180.0 180.0