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: 13SN106 # Created Tue Apr 1 01:09:42 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 21.94y # First observation: 2000/09/19 # Last observation: 2022/08/27 # Chi-squared of fit: 12.48 DOF: 46 RMS: 0.12 # Min/Max residuals: -0.37 0.28 # Exact a, adot, b, bdot, g, gdot: 1.391552E-05 2.049498E-02 -1.094794E-06 -1.375625E-03 2.247567E-02 -6.298970E-04 # Covariance matrix: 7.1324E-13 -7.5471E-14 -1.9754E-14 3.3689E-15 -1.3483E-13 -8.8041E-14 -7.5471E-14 1.2893E-14 4.8841E-15 -7.9050E-16 5.0613E-14 2.0696E-14 -1.9754E-14 4.8841E-15 4.7591E-13 -2.6982E-14 2.6264E-14 9.0592E-15 3.3689E-15 -7.9050E-16 -2.6982E-14 1.6842E-15 -3.7286E-15 -1.4559E-15 -1.3483E-13 5.0613E-14 2.6264E-14 -3.7286E-15 4.8478E-13 9.8102E-14 -8.8041E-14 2.0696E-14 9.0592E-15 -1.4559E-15 9.8102E-14 3.8125E-14 # lat0 lon0 xBary yBary zBary JD0 5.293558 -30.880956 -0.455226 0.081869 -0.885855 2451806.640883 # Heliocentric elements and errors Epoch: 2451806.5000 = 2000/09/19 Mean Anomaly: 213.36662 +/- 0.006 Argument of Peri: 275.97993 +/- 0.001 Long of Asc Node: 202.89755 +/- 0.001 Inclination: 6.47156 +/- 0.000 Eccentricity: 0.04512425 +/- 0.0000 Semi-Major Axis: 43.71046184 +/- 0.0004 Time of Perihelion: 2494800.4018 +/- 1.9 Perihelion: 41.73806002 +/- 0.0006 Aphelion: 45.68286365 +/- 0.0006 Period (y) 288.9923 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.02516277 +/- 0.0005 Ecliptic Y -22.79961759 +/- 0.0003 Ecliptic Z 4.10480893 +/- 0.0001 Ecliptic XDOT 0.00122165 +/- 0.0000 Ecliptic YDOT 0.00217903 +/- 0.0000 Ecliptic ZDOT -0.00017378 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.38322092 +/- 0.0004 Geocenter to KBO 44.49261317 +/- 0.0006 # Hcoef: 6.88
The following table shows the complete astrometric record for 13SN106. 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 (13SN106) followed by the observatory code and reference code for the source of the astrometry.
2000 09 19.14014 21 57 33.63 -06 48 50.1 22.9R 13SN106 695 C~3clH 2000 09 19.23656 21 57 33.26 -06 48 52.2 13SN106 695 C~3clH 2013 09 08.15869 22 57 30.116 -02 13 45.60 23.2g 13SN106 W84 C~4yR3 2013 09 11.24870 22 57 17.292 -02 15 10.19 24.0g 13SN106 W84 C~4yR3 2013 09 29.20758 22 56 05.56 -02 23 23.2 24.3r 13SN106 W84 C~3clH 2013 09 29.21040 22 56 05.550 -02 23 23.25 22.9i 13SN106 W84 C~4yR3 2013 10 12.07796 22 55 20.522 -02 28 56.13 23.2i 13SN106 W84 C~4yR3 2013 10 12.07934 22 55 20.531 -02 28 56.22 22.5z 13SN106 W84 C~4yR3 2015 11 01.04855 23 03 32.028 -01 53 17.72 22.9i 13SN106 W84 C~4yR3 2015 11 01.04992 23 03 32.028 -01 53 17.58 23.5r 13SN106 W84 C~4yR3 2015 11 01.05129 23 03 32.043 -01 53 17.78 24.5g 13SN106 W84 C~4yR3 2016 09 29.12214 23 09 45.431 -01 18 44.75 23.8r 13SN106 W84 C~4yR3 2016 09 29.12352 23 09 45.420 -01 18 44.91 22.8i 13SN106 W84 C~4yR3 2016 09 30.12020 23 09 41.572 -01 19 12.27 22.6z 13SN106 W84 C~4yR3 2016 10 29.04759 23 08 08.933 -01 31 05.39 23.5r 13SN106 W84 C~4yR3 2016 10 29.04895 23 08 08.927 -01 31 05.39 23.0i 13SN106 W84 C~4yR3 2017 10 26.05120 23 12 49.670 -01 08 23.18 22.6z 13SN106 W84 C~4yR3 2018 09 17.25775 23 19 44.618 -00 29 27.47 23.0r 13SN106 W84 C~4yR3 2018 09 17.25914 23 19 44.603 -00 29 27.43 22.9i 13SN106 W84 C~4yR3 2019 11 02.21365 23 21 39.66 -00 27 24.8 23.2i 13SN106 T09 C~7bIA 2019 11 02.22767 23 21 39.63 -00 27 25.0 23.1i 13SN106 T09 C~7bIA 2019 11 02.24174 23 21 39.58 -00 27 25.5 24.2i 13SN106 T09 C~7bIA 2019 11 02.25586 23 21 39.56 -00 27 25.5 23.8i 13SN106 T09 C~7bIA 2022 08 27.366240 23 39 37.012 +01 07 48.26 23.3G 13SN106 G37 C~5nHc 2022 08 27.399210 23 39 36.883 +01 07 47.42 13SN106 G37 C~5nHc 2022 08 27.433790 23 39 36.750 +01 07 46.56 13SN106 G37 C~5nHc
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 0.09 0.00 0.06 2 0.0003 0.00 -0.19 0.00 0.28 3 12.9693 0.00 -0.37 0.00 -0.11 4 12.9777 0.00 0.22 0.00 -0.03 5 13.0269 0.00 0.02 0.00 -0.13 6 13.0269 0.00 0.03 0.00 -0.11 7 13.0621 0.00 -0.01 0.00 -0.08 8 13.0621 0.00 0.19 0.00 -0.14 9 15.1154 0.00 -0.05 0.00 -0.11 10 15.1154 0.00 -0.01 0.00 0.06 11 15.1154 0.00 0.27 0.00 -0.11 12 16.0273 0.00 0.12 0.00 -0.04 13 16.0273 0.00 0.04 0.00 -0.16 14 16.0301 0.00 0.02 0.00 -0.06 15 16.1093 0.00 0.04 0.00 0.01 16 16.1093 0.00 -0.00 0.00 0.04 17 17.1004 0.00 -0.01 0.00 -0.06 18 17.9935 0.00 0.09 0.00 -0.00 19 17.9935 0.00 -0.05 0.00 0.08 20 19.1186 0.00 -0.06 0.00 0.01 21 19.1187 0.00 0.01 0.00 0.10 22 19.1187 0.00 -0.22 0.00 -0.11 23 19.1187 0.00 0.01 0.00 0.18 24 21.9363 0.00 -0.06 0.00 0.17 25 21.9364 0.00 -0.06 0.00 0.14 26 21.9365 0.00 -0.02 0.00 0.13
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.
13SN106 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.808 43.808 43.808 ecceobj 0.043 0.043 0.043 incobj 6.470 6.470 6.470 qmin 39.945 39.675 39.846 qmax 47.779 48.103 47.893 amean 43.708 43.708 43.706 amin 43.349 43.337 43.331 amax 44.121 44.124 44.131 emean 0.057 0.060 0.060 emin 0.034 0.034 0.034 emax 0.083 0.090 0.087 imean 7.350 7.386 7.392 imin 6.640 6.661 6.659 imax 8.110 8.141 8.199 excite_mean 0.140 0.142 0.142 fracstop 1.000 1.000 1.000 cjmean 3.075 3.074 3.074 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 178.4 182.6 181.5 kozaiamp 180.0 180.0 180.0