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: 13TD228 # Created Fri Nov 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 6.08y # First observation: 2013/10/04 # Last observation: 2019/11/02 # Chi-squared of fit: 7.80 DOF: 36 RMS: 0.11 # Min/Max residuals: -0.21 0.22 # Exact a, adot, b, bdot, g, gdot: 2.034858E-05 3.920678E-02 1.635615E-06 3.651471E-03 3.139781E-02 -2.446018E-03 # Covariance matrix: 2.8116E-13 -1.5396E-13 7.3726E-15 -1.1250E-14 -1.1071E-14 -4.9543E-13 -1.5396E-13 2.1176E-13 -1.8925E-14 1.9088E-14 1.6380E-13 8.3988E-13 7.3726E-15 -1.8925E-14 2.0297E-13 -4.6704E-14 -2.8246E-14 -7.6322E-14 -1.1250E-14 1.9088E-14 -4.6704E-14 1.7201E-14 1.3293E-14 8.2580E-14 -1.1071E-14 1.6380E-13 -2.8246E-14 1.3293E-14 4.5465E-13 5.8316E-13 -4.9543E-13 8.3988E-13 -7.6322E-14 8.2580E-14 5.8316E-13 3.6342E-12 # lat0 lon0 xBary yBary zBary JD0 -14.590237 18.565788 0.134696 -0.249586 -0.959288 2456569.730338 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 352.14941 +/- 0.006 Argument of Peri: 305.96366 +/- 0.011 Long of Asc Node: 87.67326 +/- 0.001 Inclination: 15.08325 +/- 0.000 Eccentricity: 0.31934917 +/- 0.0001 Semi-Major Axis: 47.75425668 +/- 0.0061 Time of Perihelion: 2459199.0511 +/- 22.7 Perihelion: 32.50397429 +/- 0.0055 Aphelion: 63.00453907 +/- 0.0088 Period (y) 330.0094 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.20014490 +/- 0.0006 Ecliptic Y 10.00458162 +/- 0.0002 Ecliptic Z -8.02297614 +/- 0.0002 Ecliptic XDOT -0.00121432 +/- 0.0000 Ecliptic YDOT 0.00319932 +/- 0.0000 Ecliptic ZDOT 0.00036200 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.81023201 +/- 0.0006 Geocenter to KBO 31.84943697 +/- 0.0007 # Hcoef: 8.14
The following table shows the complete astrometric record for 13TD228. 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 (13TD228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.22956 01 30 37.148 -06 13 54.75 22.8r 13TD228 W84 C~52Rf 2013 10 04.23211 01 30 37.136 -06 13 54.66 23.1r 13TD228 W84 C~52Rf 2013 10 04.23349 01 30 37.131 -06 13 54.79 22.4i 13TD228 W84 C~52Rf 2013 10 13.19407 01 29 47.297 -06 18 49.81 22.4z 13TD228 W84 C~52Rf 2014 08 18.35265 01 41 46.281 -04 42 13.62 23.1i 13TD228 W84 C~52Rf 2014 10 29.26115 01 36 21.024 -05 23 03.92 23.0i 13TD228 W84 C~52Rf 2014 10 29.26704 01 36 20.987 -05 23 03.88 23.3r 13TD228 W84 C~52Rf 2014 12 22.08681 01 32 45.232 -05 25 08.48 23.9r 13TD228 W84 C~52Rf 2016 01 12.06424 01 40 25.057 -04 13 56.51 23.7r 13TD228 W84 C~52Rf 2016 11 07.15230 01 51 34.353 -03 18 57.68 22.4z 13TD228 W84 C~52Rf 2016 11 10.11848 01 51 18.297 -03 19 49.84 23.1z 13TD228 W84 C~52Rf 2016 11 28.16262 01 49 50.061 -03 22 49.19 22.9i 13TD228 W84 C~52Rf 2017 09 14.37901 02 04 21.570 -01 47 02.94 23.0z 13TD228 W84 C~52Rf 2017 09 25.34659 02 03 33.716 -01 53 30.96 22.8i 13TD228 W84 C~52Rf 2017 10 29.24832 02 00 29.121 -02 11 13.59 23.0i 13TD228 W84 C~52Rf 2017 11 23.12484 01 58 14.842 -02 18 19.06 23.3r 13TD228 W84 C~52Rf 2018 11 29.18468 02 05 48.884 -01 14 35.69 23.6r 13TD228 W84 C~52Rf 2018 11 29.18606 02 05 48.880 -01 14 35.77 24.1g 13TD228 W84 C~52Rf 2019 11 02.42149 02 16 16.97 -00 02 55.6 23.4i 13TD228 T09 C~7mvR 2019 11 02.48925 02 16 16.57 -00 02 57.2 23.4i 13TD228 T09 C~7mvR 2019 11 02.55368 02 16 16.18 -00 02 58.9 23.2i 13TD228 T09 C~7mvR
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 -0.01
2 0.0000 0.00 -0.10 0.00 0.17
3 0.0000 0.00 -0.06 0.00 0.09
4 0.0245 0.00 0.03 0.00 0.06
5 0.8710 0.00 0.10 0.00 -0.05
6 1.0678 0.00 0.06 0.00 -0.11
7 1.0679 0.00 0.00 0.00 0.07
8 1.2152 0.00 0.09 0.00 0.06
9 2.2720 0.00 -0.13 0.00 -0.01
10 3.0936 0.00 -0.06 0.00 -0.07
11 3.1017 0.00 0.21 0.00 -0.09
12 3.1511 0.00 0.07 0.00 -0.02
13 3.9457 0.00 0.17 0.00 -0.13
14 3.9757 0.00 -0.03 0.00 -0.12
15 4.0685 0.00 -0.00 0.00 0.04
16 4.1366 0.00 -0.06 0.00 -0.17
17 5.1525 0.00 0.09 0.00 -0.03
18 5.1525 0.00 0.12 0.00 -0.11
19 6.0786 0.00 -0.02 0.00 0.22
20 6.0787 0.00 -0.04 0.00 0.22
21 6.0789 0.00 -0.21 0.00 0.04
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.
13TD228 quality flag:2 Type: 2:1E SCATNEAR 2:1E axisobj 48.097 48.097 48.097 ecceobj 0.324 0.324 0.324 incobj 15.092 15.092 15.092 qmin 31.699 31.701 31.698 qmax 64.860 64.912 64.810 amean 47.796 47.795 47.796 amin 47.181 47.176 47.195 amax 48.536 48.575 48.536 emean 0.263 0.236 0.261 emin 0.172 0.077 0.172 emax 0.337 0.338 0.337 imean 16.805 17.593 16.853 imin 13.012 13.015 13.010 imax 20.534 22.094 20.467 excite_mean 0.395 0.394 0.395 fracstop 1.000 1.000 1.000 cjmean 2.952 2.953 2.952 libcent 0 176.2 -180.0 176.7 libamp 0 145.2 -180.0 147.1 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 132.5 124.9 135.8 kozaiamp 180.0 180.0 180.0