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: 13TU227 # Created Fri Nov 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 5.04y # First observation: 2013/10/04 # Last observation: 2018/10/19 # Chi-squared of fit: 7.92 DOF: 36 RMS: 0.11 # Min/Max residuals: -0.20 0.22 # Exact a, adot, b, bdot, g, gdot: 1.586017E-05 2.852842E-02 -6.439792E-06 -1.020633E-02 2.761122E-02 -2.734199E-03 # Covariance matrix: 3.1433E-13 -1.9408E-13 -3.1825E-14 4.6030E-14 7.0948E-14 -9.1941E-13 -1.9408E-13 2.4225E-13 5.1235E-14 -7.8188E-14 3.7381E-14 1.5635E-12 -3.1825E-14 5.1235E-14 2.1966E-13 -7.7897E-14 8.8575E-15 3.6957E-13 4.6030E-14 -7.8188E-14 -7.7897E-14 5.3984E-14 -2.3859E-14 -5.6970E-13 7.0948E-14 3.7381E-14 8.8575E-15 -2.3859E-14 3.9008E-13 4.8119E-13 -9.1941E-13 1.5635E-12 3.6957E-13 -5.6970E-13 4.8119E-13 1.1394E-11 # lat0 lon0 xBary yBary zBary JD0 -6.551381 9.510921 -0.021725 -0.114004 -0.993604 2456569.658128 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 332.95745 +/- 0.027 Argument of Peri: 236.32427 +/- 0.040 Long of Asc Node: 172.29683 +/- 0.000 Inclination: 20.64520 +/- 0.000 Eccentricity: 0.17109150 +/- 0.0001 Semi-Major Axis: 43.50359713 +/- 0.0050 Time of Perihelion: 2464443.3393 +/- 18.3 Perihelion: 36.06050140 +/- 0.0057 Aphelion: 50.94669286 +/- 0.0070 Period (y) 286.9432 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.46829422 +/- 0.0008 Ecliptic Y 6.13496992 +/- 0.0001 Ecliptic Z -4.13242231 +/- 0.0001 Ecliptic XDOT -0.00085311 +/- 0.0000 Ecliptic YDOT 0.00272496 +/- 0.0000 Ecliptic ZDOT -0.00097435 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.21096041 +/- 0.0008 Geocenter to KBO 36.21725102 +/- 0.0008 # Hcoef: 7.78
The following table shows the complete astrometric record for 13TU227. 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 (13TU227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.15735 00 45 14.816 -02 15 25.14 24.4g 13TU227 W84 C~52Re 2013 10 13.16464 00 44 30.994 -02 20 48.99 23.2i 13TU227 W84 C~52Re 2013 10 13.16777 00 44 30.981 -02 20 49.20 22.9z 13TU227 W84 C~52Re 2013 10 29.05936 00 43 17.491 -02 29 15.05 23.8g 13TU227 W84 C~52Re 2014 10 02.30094 00 52 22.200 -02 07 50.82 23.2r 13TU227 W84 C~52Re 2014 11 13.12828 00 49 12.687 -02 29 14.98 23.4r 13TU227 W84 C~52Re 2014 11 16.06138 00 49 02.265 -02 30 13.28 23.9r 13TU227 W84 C~52Re 2014 11 16.06277 00 49 02.254 -02 30 13.34 23.5i 13TU227 W84 C~52Re 2014 11 18.12122 00 48 55.295 -02 30 51.24 23.2z 13TU227 W84 C~52Re 2016 08 25.40540 01 08 56.602 -01 31 20.48 23.0i 13TU227 W84 C~52Re 2016 08 26.30488 01 08 53.866 -01 31 52.11 22.7r 13TU227 W84 C~52Re 2016 08 26.30763 01 08 53.840 -01 31 52.31 23.5r 13TU227 W84 C~52Re 2016 08 26.30899 01 08 53.834 -01 31 52.52 22.8i 13TU227 W84 C~52Re 2016 10 23.16797 01 04 37.114 -02 07 30.84 23.4r 13TU227 W84 C~52Re 2016 10 23.16935 01 04 37.130 -02 07 30.92 24.3g 13TU227 W84 C~52Re 2016 10 29.22883 01 04 08.555 -02 10 35.36 23.3i 13TU227 W84 C~52Re 2016 11 06.12744 01 03 33.352 -02 14 09.59 23.1z 13TU227 W84 C~52Re 2017 08 27.40139 01 15 51.100 -01 25 42.07 23.3r 13TU227 W84 C~52Re 2018 10 10.28295 01 19 49.869 -01 46 29.10 23.7r 13TU227 W84 C~52Re 2018 10 10.28431 01 19 49.866 -01 46 29.15 23.5i 13TU227 W84 C~52Re 2018 10 19.15622 01 19 05.706 -01 51 42.17 23.0z 13TU227 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 0.04 0.00 0.15
2 0.0247 0.00 -0.08 0.00 0.01
3 0.0247 0.00 -0.04 0.00 -0.10
4 0.0682 0.00 0.09 0.00 0.18
5 0.9942 0.00 0.14 0.00 -0.10
6 1.1087 0.00 -0.11 0.00 -0.13
7 1.1168 0.00 -0.02 0.00 0.06
8 1.1168 0.00 -0.11 0.00 0.03
9 1.1224 0.00 0.08 0.00 0.03
10 2.8918 0.00 -0.11 0.00 0.10
11 2.8943 0.00 0.21 0.00 0.11
12 2.8943 0.00 -0.05 0.00 0.01
13 2.8943 0.00 -0.07 0.00 -0.15
14 3.0527 0.00 -0.13 0.00 -0.07
15 3.0527 0.00 0.22 0.00 -0.11
16 3.0693 0.00 0.02 0.00 -0.00
17 3.0910 0.00 -0.01 0.00 -0.10
18 3.8966 0.00 0.02 0.00 -0.20
19 5.0161 0.00 -0.11 0.00 0.09
20 5.0161 0.00 -0.05 0.00 0.09
21 5.0404 0.00 0.16 0.00 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.
13TU227 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.745 43.745 43.745 ecceobj 0.174 0.174 0.174 incobj 20.585 20.585 20.585 qmin 35.238 35.227 35.220 qmax 52.093 52.086 52.085 amean 43.471 43.475 43.475 amin 43.108 43.107 43.091 amax 43.890 43.897 43.891 emean 0.169 0.169 0.169 emin 0.151 0.152 0.151 emax 0.187 0.187 0.187 imean 20.367 20.364 20.364 imin 19.702 19.697 19.700 imax 20.960 20.968 20.986 excite_mean 0.387 0.387 0.387 fracstop 1.000 1.000 1.000 cjmean 2.913 2.913 2.913 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 185.4 185.5 185.5 kozaiamp 180.0 179.9 180.0