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: 13TH228 # Created Fri Nov 22 02:09:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 5.12y # First observation: 2013/10/04 # Last observation: 2018/11/16 # Chi-squared of fit: 4.98 DOF: 26 RMS: 0.10 # Min/Max residuals: -0.19 0.19 # Exact a, adot, b, bdot, g, gdot: 1.760609E-05 3.056414E-02 -6.976455E-07 -7.081640E-05 2.726930E-02 -3.856325E-03 # Covariance matrix: 5.3464E-13 -2.3221E-13 -8.5436E-15 -3.5557E-16 1.6048E-13 -1.0382E-12 -2.3221E-13 3.2319E-13 -3.6419E-15 8.3919E-16 1.4999E-13 2.2297E-12 -8.5436E-15 -3.6419E-15 3.2574E-13 -1.0360E-13 -1.7660E-14 -2.8980E-14 -3.5557E-16 8.3919E-16 -1.0360E-13 4.5813E-14 5.0524E-16 6.7448E-15 1.6048E-13 1.4999E-13 -1.7660E-14 5.0524E-16 4.3384E-13 1.1991E-12 -1.0382E-12 2.2297E-12 -2.8980E-14 6.7448E-15 1.1991E-12 1.7923E-11 # lat0 lon0 xBary yBary zBary JD0 -12.234574 28.045975 0.295116 -0.202432 -0.934103 2456569.790198 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 336.40910 +/- 0.017 Argument of Peri: 308.73563 +/- 0.032 Long of Asc Node: 118.60138 +/- 0.002 Inclination: 11.92727 +/- 0.000 Eccentricity: 0.25436759 +/- 0.0001 Semi-Major Axis: 48.07610138 +/- 0.0066 Time of Perihelion: 2464549.2414 +/- 24.2 Perihelion: 35.84709914 +/- 0.0077 Aphelion: 60.30510363 +/- 0.0102 Period (y) 333.3512 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.61147528 +/- 0.0008 Ecliptic Y 17.04243402 +/- 0.0004 Ecliptic Z -7.77123665 +/- 0.0002 Ecliptic XDOT -0.00178427 +/- 0.0000 Ecliptic YDOT 0.00252832 +/- 0.0000 Ecliptic ZDOT 0.00007524 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.60786641 +/- 0.0007 Geocenter to KBO 36.67138654 +/- 0.0009 # Hcoef: 7.83
The following table shows the complete astrometric record for 13TH228. 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 (13TH228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.28942 02 01 34.079 -00 40 02.77 24.4g 13TH228 W84 C~52Rf 2013 11 23.19984 01 57 34.393 -00 59 52.16 23.1i 13TH228 W84 C~52Rf 2013 11 23.20121 01 57 34.373 -00 59 51.99 22.8z 13TH228 W84 C~52Rf 2014 10 29.27403 02 06 08.473 -00 15 15.68 24.3g 13TH228 W84 C~52Rf 2015 01 16.05758 02 02 05.727 -00 18 30.45 22.9z 13TH228 W84 C~52Rf 2015 12 04.06966 02 10 00.948 +00 11 52.99 23.4i 13TH228 W84 C~52Rf 2015 12 05.07384 02 09 57.113 +00 11 47.08 23.5i 13TH228 W84 C~52Rf 2015 12 05.07522 02 09 57.103 +00 11 47.13 23.9r 13TH228 W84 C~52Rf 2015 12 17.13079 02 09 16.882 +00 11 26.22 23.1i 13TH228 W84 C~52Rf 2016 09 09.40296 02 22 59.537 +01 23 43.21 23.8i 13TH228 W84 C~52Rf 2016 09 10.35756 02 22 56.842 +01 23 14.81 23.6r 13TH228 W84 C~52Rf 2016 10 27.17613 02 19 36.007 +00 59 43.05 23.6r 13TH228 W84 C~52Rf 2016 10 27.17750 02 19 35.999 +00 59 42.68 23.1i 13TH228 W84 C~52Rf 2016 12 23.05251 02 15 34.769 +00 48 42.32 23.6r 13TH228 W84 C~52Rf 2017 12 07.03947 02 23 06.142 +01 25 46.75 23.3i 13TH228 W84 C~52Rf 2018 11 16.12781 02 31 27.211 +02 07 34.91 23.0i 13TH228 W84 C~52Rf
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 -0.02 0.00 0.14
2 0.1366 0.00 0.12 0.00 -0.09
3 0.1367 0.00 -0.10 0.00 0.10
4 1.0677 0.00 -0.01 0.00 -0.17
5 1.2834 0.00 -0.01 0.00 0.13
6 2.1650 0.00 0.03 0.00 -0.19
7 2.1678 0.00 0.00 0.00 -0.02
8 2.1678 0.00 -0.07 0.00 0.04
9 2.2008 0.00 -0.00 0.00 -0.05
10 2.9325 0.00 0.01 0.00 -0.09
11 2.9352 0.00 0.10 0.00 0.03
12 3.0633 0.00 -0.03 0.00 0.19
13 3.0633 0.00 -0.05 0.00 -0.15
14 3.2191 0.00 0.18 0.00 0.06
15 4.1745 0.00 -0.08 0.00 0.17
16 5.1166 0.00 0.00 0.00 -0.05
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.
13TH228 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.367 48.367 48.367 ecceobj 0.257 0.257 0.257 incobj 11.927 11.927 11.927 qmin 34.814 34.643 34.840 qmax 61.586 61.765 61.614 amean 47.796 47.796 47.796 amin 47.194 47.212 47.201 amax 48.483 48.545 48.504 emean 0.239 0.232 0.238 emin 0.206 0.156 0.194 emax 0.271 0.275 0.271 imean 10.796 11.024 10.820 imin 9.337 8.987 9.326 imax 12.149 14.464 12.748 excite_mean 0.304 0.304 0.304 fracstop 1.000 1.000 1.000 cjmean 3.033 3.033 3.033 libcent 0 100.3 173.8 98.9 libamp 0 66.0 139.2 64.5 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 165.5 220.7 152.6 kozaiamp 180.0 180.0 180.0