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: 13TX227 # Created Sat Apr 20 01:15:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 5.16y # First observation: 2013/10/04 # Last observation: 2018/11/30 # Chi-squared of fit: 6.77 DOF: 28 RMS: 0.11 # Min/Max residuals: -0.22 0.25 # Exact a, adot, b, bdot, g, gdot: 1.555454E-05 3.160558E-02 -1.160935E-05 -2.250239E-02 2.988498E-02 5.903927E-03 # Covariance matrix: 5.0488E-13 -3.5890E-13 -1.7138E-13 2.1495E-13 4.4534E-14 -1.9550E-12 -3.5890E-13 4.2042E-13 2.3921E-13 -3.0390E-13 5.1552E-15 2.7601E-12 -1.7138E-13 2.3921E-13 4.5533E-13 -2.7803E-13 -1.2570E-14 1.7226E-12 2.1495E-13 -3.0390E-13 -2.7803E-13 2.7676E-13 1.3386E-15 -2.1848E-12 4.4534E-14 5.1552E-15 -1.2570E-14 1.3386E-15 2.5461E-13 -2.6755E-14 -1.9550E-12 2.7601E-12 1.7226E-12 -2.1848E-12 -2.6755E-14 1.9847E-11 # lat0 lon0 xBary yBary zBary JD0 -9.811252 11.438066 0.011768 -0.170348 -0.985675 2456569.666858 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 6.79884 +/- 0.005 Argument of Peri: 171.46955 +/- 0.015 Long of Asc Node: 178.35716 +/- 0.000 Inclination: 36.59251 +/- 0.000 Eccentricity: 0.51980611 +/- 0.0001 Semi-Major Axis: 69.50080417 +/- 0.0196 Time of Perihelion: 2452573.6720 +/- 3.2 Perihelion: 33.37386148 +/- 0.0139 Aphelion: 105.62774686 +/- 0.0314 Period (y) 579.4193 +/- 0.24 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.29953571 +/- 0.0005 Ecliptic Y 6.72844371 +/- 0.0001 Ecliptic Z -5.70236944 +/- 0.0001 Ecliptic XDOT -0.00040230 +/- 0.0000 Ecliptic YDOT 0.00287264 +/- 0.0000 Ecliptic ZDOT -0.00212339 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.44765748 +/- 0.0005 Geocenter to KBO 33.46155891 +/- 0.0006 # Hcoef: 7.86
The following table shows the complete astrometric record for 13TX227. 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 (13TX227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.16608 00 57 23.835 -04 30 31.80 24.0g 13TX227 W84 C~52Re 2013 12 21.09437 00 52 51.827 -05 02 04.28 23.0i 13TX227 W84 C~52Re 2014 08 18.33873 01 09 14.363 -04 21 28.10 22.3z 13TX227 W84 C~52Re 2014 11 17.15544 01 02 37.253 -05 24 54.59 23.8g 13TX227 W84 C~52Re 2014 11 17.15683 01 02 37.244 -05 24 54.56 23.1i 13TX227 W84 C~52Re 2014 11 18.17122 01 02 33.497 -05 25 16.45 23.5r 13TX227 W84 C~52Re 2014 11 21.03813 01 02 23.318 -05 26 14.34 22.8z 13TX227 W84 C~52Re 2016 08 16.36908 01 26 05.254 -05 14 38.48 23.2i 13TX227 W84 C~52Re 2016 08 26.35744 01 25 41.740 -05 22 19.61 22.6r 13TX227 W84 C~52Re 2016 08 30.36644 01 25 29.862 -05 25 31.58 23.7g 13TX227 W84 C~52Re 2016 10 01.22464 01 23 17.462 -05 51 24.19 23.2i 13TX227 W84 C~52Re 2016 10 01.22603 01 23 17.469 -05 51 24.16 23.0r 13TX227 W84 C~52Re 2016 10 01.22740 01 23 17.446 -05 51 24.11 23.9g 13TX227 W84 C~52Re 2017 11 15.16254 01 27 59.471 -06 44 22.52 23.4r 13TX227 W84 C~52Re 2017 11 15.16390 01 27 59.444 -06 44 22.42 24.7g 13TX227 W84 C~52Re 2018 11 30.16797 01 35 14.729 -07 13 17.08 23.3r 13TX227 W84 C~52Re 2018 11 30.16933 01 35 14.724 -07 13 17.27 24.0g 13TX227 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 0.25 0.00 0.04
2 0.2134 0.00 -0.09 0.00 0.09
3 0.8711 0.00 -0.22 0.00 -0.14
4 1.1198 0.00 0.03 0.00 -0.03
5 1.1198 0.00 -0.03 0.00 0.03
6 1.1225 0.00 0.02 0.00 0.06
7 1.1304 0.00 -0.11 0.00 -0.05
8 2.8671 0.00 0.03 0.00 -0.02
9 2.8944 0.00 0.09 0.00 -0.21
10 2.9054 0.00 0.08 0.00 -0.02
11 2.9926 0.00 -0.03 0.00 -0.05
12 2.9926 0.00 0.17 0.00 0.05
13 2.9926 0.00 -0.07 0.00 0.16
14 4.1150 0.00 0.17 0.00 0.06
15 4.1150 0.00 -0.15 0.00 0.19
16 5.1554 0.00 -0.03 0.00 0.03
17 5.1554 0.00 -0.03 0.00 -0.14
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.
13TX227 quality flag:3 Type: 7:2EEEEE 7:2EEEEE 7:2EEEEE axisobj 70.172 70.172 70.172 ecceobj 0.525 0.525 0.525 incobj 36.513 36.513 36.513 qmin 32.575 32.591 32.574 qmax 108.114 108.168 108.030 amean 69.407 69.407 69.407 amin 68.402 68.469 68.429 amax 70.757 70.768 70.740 emean 0.515 0.515 0.516 emin 0.486 0.486 0.489 emax 0.531 0.531 0.531 imean 36.289 36.305 36.248 imin 35.612 35.612 35.612 imax 37.639 37.646 37.459 excite_mean 0.785 0.785 0.785 fracstop 1.000 1.000 1.000 cjmean 2.531 2.531 2.531 libcent 0 179.0 179.1 178.6 libamp 0 118.8 112.8 110.6 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 190.2 190.0 188.6 kozaiamp 19.3 18.0 16.7