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: 13TV227 # Created Fri Apr 19 01:15:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 5.15y # First observation: 2013/10/04 # Last observation: 2018/11/27 # Chi-squared of fit: 8.27 DOF: 40 RMS: 0.11 # Min/Max residuals: -0.21 0.23 # Exact a, adot, b, bdot, g, gdot: 1.819316E-05 3.182658E-02 -1.705921E-07 -6.282629E-04 2.904951E-02 -4.962034E-03 # Covariance matrix: 2.7538E-13 -1.7210E-13 -2.9277E-15 1.9808E-15 6.3420E-14 -7.1818E-13 -1.7210E-13 2.4329E-13 1.5447E-15 -3.7469E-15 6.8178E-14 1.4073E-12 -2.9277E-15 1.5447E-15 1.7408E-13 -4.8661E-14 -5.9155E-15 5.7354E-15 1.9808E-15 -3.7469E-15 -4.8661E-14 2.1307E-14 -1.4670E-15 -2.3948E-14 6.3420E-14 6.8178E-14 -5.9155E-15 -1.4670E-15 3.3389E-13 6.3070E-13 -7.1818E-13 1.4073E-12 5.7354E-15 -2.3948E-14 6.3070E-13 9.0458E-12 # lat0 lon0 xBary yBary zBary JD0 -7.028505 9.913560 -0.014696 -0.122290 -0.992747 2456569.658128 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 312.76912 +/- 0.014 Argument of Peri: 326.35025 +/- 0.023 Long of Asc Node: 109.18132 +/- 0.002 Inclination: 6.91946 +/- 0.000 Eccentricity: 0.18647073 +/- 0.0001 Semi-Major Axis: 39.52768998 +/- 0.0038 Time of Perihelion: 2468479.4686 +/- 12.0 Perihelion: 32.15693261 +/- 0.0049 Aphelion: 46.89844734 +/- 0.0059 Period (y) 248.5194 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.63741075 +/- 0.0007 Ecliptic Y 6.07171524 +/- 0.0001 Ecliptic Z -4.21225767 +/- 0.0001 Ecliptic XDOT -0.00098694 +/- 0.0000 Ecliptic YDOT 0.00287228 +/- 0.0000 Ecliptic ZDOT -0.00000140 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.41702548 +/- 0.0007 Geocenter to KBO 34.42412321 +/- 0.0007 # Hcoef: 8.00
The following table shows the complete astrometric record for 13TV227. 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 (13TV227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.15735 00 47 28.127 -02 32 20.19 24.4g 13TV227 W84 C~52Re 2013 10 13.16464 00 46 41.191 -02 37 09.65 23.1i 13TV227 W84 C~52Re 2013 10 13.16777 00 46 41.177 -02 37 09.75 23.2z 13TV227 W84 C~52Re 2013 11 23.14048 00 43 43.246 -02 51 36.84 23.8r 13TV227 W84 C~52Re 2013 11 23.14185 00 43 43.233 -02 51 36.74 22.8i 13TV227 W84 C~52Re 2014 10 02.29957 00 54 27.131 -01 50 00.62 22.5i 13TV227 W84 C~52Re 2014 10 02.30094 00 54 27.120 -01 50 00.70 22.8r 13TV227 W84 C~52Re 2014 11 13.12828 00 51 02.996 -02 08 46.21 23.5r 13TV227 W84 C~52Re 2014 11 16.06277 00 50 51.648 -02 09 32.58 22.7i 13TV227 W84 C~52Re 2014 11 27.06545 00 50 14.950 -02 11 36.01 22.8z 13TV227 W84 C~52Re 2015 09 04.27280 01 03 32.948 -00 52 14.14 23.4i 13TV227 W84 C~52Re 2015 10 17.15136 01 00 01.588 -01 16 19.49 23.7r 13TV227 W84 C~52Re 2015 12 05.08968 00 56 39.759 -01 31 22.35 23.5r 13TV227 W84 C~52Re 2016 08 16.39950 01 11 25.166 -00 01 24.10 23.0i 13TV227 W84 C~52Re 2016 11 06.17938 01 05 11.435 -00 43 39.98 23.4i 13TV227 W84 C~52Re 2016 11 06.20525 01 05 11.296 -00 43 40.43 23.9r 13TV227 W84 C~52Re 2017 08 28.29366 01 17 46.625 +00 35 18.33 23.2i 13TV227 W84 C~52Re 2017 09 14.31818 01 16 39.230 +00 26 13.67 23.4z 13TV227 W84 C~52Re 2017 09 18.28030 01 16 20.943 +00 23 59.08 23.5r 13TV227 W84 C~52Re 2017 09 24.25613 01 15 51.908 +00 20 33.65 23.2z 13TV227 W84 C~52Re 2018 09 14.35386 01 23 42.086 +01 09 06.79 23.5r 13TV227 W84 C~52Re 2018 09 14.35523 01 23 42.086 +01 09 06.67 23.4i 13TV227 W84 C~52Re 2018 11 27.10414 01 17 41.556 +00 35 12.63 24.0g 13TV227 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 -0.15 0.00 -0.10
2 0.0247 0.00 0.02 0.00 0.01
3 0.0247 0.00 0.05 0.00 0.01
4 0.1368 0.00 0.01 0.00 0.03
5 0.1369 0.00 -0.12 0.00 0.15
6 0.9942 0.00 0.12 0.00 0.04
7 0.9942 0.00 0.06 0.00 0.01
8 1.1087 0.00 -0.03 0.00 -0.06
9 1.1168 0.00 0.12 0.00 -0.05
10 1.1469 0.00 -0.05 0.00 0.20
11 1.9168 0.00 0.04 0.00 0.12
12 2.0342 0.00 0.23 0.00 -0.10
13 2.1682 0.00 -0.02 0.00 -0.19
14 2.8672 0.00 -0.18 0.00 -0.03
15 3.0911 0.00 0.04 0.00 -0.10
16 3.0912 0.00 -0.21 0.00 0.02
17 3.8991 0.00 -0.12 0.00 -0.15
18 3.9457 0.00 0.04 0.00 0.10
19 3.9565 0.00 0.17 0.00 0.07
20 3.9729 0.00 0.11 0.00 -0.14
21 4.9451 0.00 -0.06 0.00 0.09
22 4.9451 0.00 0.03 0.00 0.02
23 5.1470 0.00 -0.00 0.00 0.11
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.
13TV227 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.732 39.732 39.732 ecceobj 0.187 0.187 0.187 incobj 6.919 6.919 6.919 qmin 31.672 31.692 31.755 qmax 48.076 47.990 47.922 amean 39.458 39.457 39.457 amin 38.913 38.923 38.926 amax 40.067 40.060 40.060 emean 0.179 0.179 0.179 emin 0.161 0.159 0.160 emax 0.200 0.198 0.197 imean 4.973 5.261 5.220 imin 3.986 4.510 4.480 imax 5.977 6.417 6.151 excite_mean 0.200 0.201 0.201 fracstop 1.000 1.000 1.000 cjmean 3.007 3.006 3.006 libcent 0 180.1 180.7 180.6 libamp 0 129.8 128.5 125.9 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 194.7 195.3 189.3 kozaiamp 180.0 180.0 180.0