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: 13TN228 # Created Wed Dec 25 02:09:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 9.05y # First observation: 2013/10/13 # Last observation: 2022/10/31 # Chi-squared of fit: 3.92 DOF: 44 RMS: 0.07 # Min/Max residuals: -0.12 0.23 # Exact a, adot, b, bdot, g, gdot: 1.861311E-05 3.223149E-02 -6.673860E-06 -1.131953E-02 2.757139E-02 -1.049036E-02 # Covariance matrix: 5.0557E-13 -1.8691E-13 -1.0911E-13 5.4729E-14 -1.6593E-14 -4.0875E-13 -1.8691E-13 8.5164E-14 5.5497E-14 -2.7834E-14 7.5613E-15 2.0789E-13 -1.0911E-13 5.5497E-14 2.4730E-13 -5.5321E-14 -3.9159E-15 1.5060E-13 5.4729E-14 -2.7834E-14 -5.5321E-14 1.8118E-14 1.1572E-15 -7.5442E-14 -1.6593E-14 7.5613E-15 -3.9159E-15 1.1572E-15 3.1598E-13 -1.4320E-14 -4.0875E-13 2.0789E-13 1.5060E-13 -7.5442E-14 -1.4320E-14 5.6412E-13 # lat0 lon0 xBary yBary zBary JD0 -0.669571 -3.766402 -0.395141 -0.010592 -0.915762 2456578.585128 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 351.57241 +/- 0.003 Argument of Peri: 225.67583 +/- 0.005 Long of Asc Node: 174.98050 +/- 0.000 Inclination: 19.29758 +/- 0.000 Eccentricity: 0.62712088 +/- 0.0001 Semi-Major Axis: 89.08113668 +/- 0.0220 Time of Perihelion: 2463767.6578 +/- 111.1 Perihelion: 33.21649627 +/- 0.0109 Aphelion: 144.94577708 +/- 0.0365 Period (y) 840.7886 +/- 0.31 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.12801738 +/- 0.0007 Ecliptic Y -2.04510517 +/- 0.0001 Ecliptic Z -0.42411467 +/- 0.0000 Ecliptic XDOT -0.00084841 +/- 0.0000 Ecliptic YDOT 0.00326153 +/- 0.0000 Ecliptic ZDOT -0.00111164 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.18692967 +/- 0.0007 Geocenter to KBO 36.26973790 +/- 0.0007 # Hcoef: 7.68
The following table shows the complete astrometric record for 13TN228. 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 (13TN228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.08435 23 47 14.313 -02 06 42.45 23.1i 13TN228 W84 C~52Rf 2013 11 23.08533 23 45 15.543 -02 23 39.44 23.5r 13TN228 W84 C~52Rf 2014 10 23.19731 23 54 27.230 -02 03 39.11 23.0r 13TN228 W84 C~52Rf 2016 08 26.20647 00 14 59.833 -01 10 56.32 23.1r 13TN228 W84 C~52Rf 2016 09 10.33646 00 13 55.350 -01 20 12.54 22.9i 13TN228 W84 C~52Rf 2016 09 11.16332 00 13 51.603 -01 20 44.21 22.1z 13TN228 W84 C~52Rf 2016 09 22.10250 00 13 00.225 -01 27 45.27 23.1r 13TN228 W84 C~52Rf 2016 09 22.10388 00 13 00.228 -01 27 45.35 24.1g 13TN228 W84 C~52Rf 2016 11 26.11554 00 08 56.920 -01 59 20.18 23.2r 13TN228 W84 C~52Rf 2016 11 26.11692 00 08 56.913 -01 59 20.08 22.8i 13TN228 W84 C~52Rf 2016 11 26.11829 00 08 56.913 -01 59 19.94 24.4g 13TN228 W84 C~52Rf 2016 12 04.09564 00 08 47.728 -02 00 39.32 23.0z 13TN228 W84 C~52Rf 2017 09 18.23051 00 21 42.337 -01 15 39.92 22.7i 13TN228 W84 C~52Rf 2017 09 18.23188 00 21 42.327 -01 15 40.17 22.8r 13TN228 W84 C~52Rf 2017 09 18.23326 00 21 42.326 -01 15 40.10 24.3g 13TN228 W84 C~52Rf 2017 10 27.16165 00 18 41.726 -01 39 11.58 22.8z 13TN228 W84 C~52Rf 2017 11 09.06291 00 17 54.373 -01 45 03.16 23.3r 13TN228 W84 C~52Rf 2018 10 18.13578 00 27 51.631 -01 24 38.82 22.7z 13TN228 W84 C~52Rf 2018 10 18.18232 00 27 51.420 -01 24 40.58 22.7i 13TN228 W84 C~52Rf 2018 11 08.17396 00 26 25.014 -01 35 13.00 23.4r 13TN228 W84 C~52Rf 2018 11 26.07958 00 25 34.878 -01 41 02.45 24.1g 13TN228 W84 C~52Rf 2022 10 31.03402 01 02 19.76 -00 50 40.3 22.9r 13TN228 W84 C~5z0W 2022 10 31.08760 01 02 19.51 -00 50 41.9 23.1r 13TN228 W84 C~5z0W 2022 10 31.13533 01 02 19.28 -00 50 43.4 23.2r 13TN228 W84 C~5z0W 2022 10 31.19139 01 02 19.02 -00 50 45.2 23.2r 13TN228 W84 C~5z0W
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 0.02
2 0.1123 0.00 0.01 0.00 0.00
3 1.0270 0.00 0.12 0.00 -0.05
4 2.8696 0.00 -0.04 0.00 -0.02
5 2.9110 0.00 -0.09 0.00 0.06
6 2.9133 0.00 0.11 0.00 -0.07
7 2.9432 0.00 -0.07 0.00 0.00
8 2.9432 0.00 0.07 0.00 -0.02
9 3.1212 0.00 0.03 0.00 -0.04
10 3.1212 0.00 -0.04 0.00 0.08
11 3.1212 0.00 -0.00 0.00 0.23
12 3.1431 0.00 -0.11 0.00 0.05
13 3.9320 0.00 0.00 0.00 0.09
14 3.9320 0.00 -0.05 0.00 -0.11
15 3.9320 0.00 0.04 0.00 0.02
16 4.0385 0.00 0.03 0.00 -0.08
17 4.0739 0.00 0.03 0.00 -0.05
18 5.0131 0.00 0.04 0.00 0.08
19 5.0133 0.00 0.15 0.00 -0.07
20 5.0707 0.00 0.02 0.00 -0.01
21 5.1198 0.00 -0.09 0.00 -0.12
22 9.0485 0.00 -0.00 0.00 -0.00
23 9.0486 0.00 0.02 0.00 0.05
24 9.0487 0.00 -0.06 0.00 0.03
25 9.0489 0.00 -0.01 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.
13TN228 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 90.250 90.248 90.251 ecceobj 0.631 0.631 0.631 incobj 19.245 19.245 19.245 qmin 31.331 30.924 31.517 qmax 157.760 149.772 148.977 amean 89.459 87.956 84.912 amin 86.171 84.579 81.294 amax 95.156 91.100 91.092 emean 0.632 0.627 0.612 emin 0.606 0.603 0.588 emax 0.659 0.645 0.638 imean 18.000 17.936 18.066 imin 16.234 15.361 16.685 imax 20.204 20.426 20.200 excite_mean 0.704 0.698 0.687 fracstop 1.000 1.000 1.000 cjmean 2.876 2.876 2.878 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 197.9 185.0 195.2 kozaiamp 180.0 179.9 179.9