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: 13SG101 # Created Tue Apr 1 01:09:41 2025 # Orbit generated from Bernstein formalism # Fitting 35 observations of 36 # Arc: 4.07y # First observation: 2013/08/05 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000158 0.022525 -0.000001 -0.000534 0.022975 0.000000 # Chi-squared of fit: 16.06 DOF: 64 RMS: 0.12 # Min/Max residuals: -0.28 0.34 # Exact a, adot, b, bdot, g, gdot: 1.468029E-05 2.242904E-02 5.854580E-08 -5.329705E-04 2.302771E-02 4.967155E-04 # Covariance matrix: 1.2330E-13 -4.0667E-14 1.6983E-16 1.8516E-16 6.6987E-14 -1.2143E-13 -4.0667E-14 2.2934E-13 2.4806E-15 -5.6008E-15 1.2221E-13 2.4987E-12 1.6983E-16 2.4806E-15 7.0216E-14 -2.6177E-14 1.9780E-15 3.0545E-14 1.8516E-16 -5.6008E-15 -2.6177E-14 2.4087E-14 -3.6401E-15 -6.8359E-14 6.6987E-14 1.2221E-13 1.9780E-15 -3.6401E-15 1.8259E-13 1.5676E-12 -1.2143E-13 2.4987E-12 3.0545E-14 -6.8359E-14 1.5676E-12 3.0455E-11 # lat0 lon0 xBary yBary zBary JD0 -1.137090 12.355740 0.874793 -0.010237 -0.517210 2456510.005588 # Heliocentric elements and errors Epoch: 2456510.5000 = 2013/08/06 Mean Anomaly: 359.95610 +/- 0.229 Argument of Peri: 219.14594 +/- 0.258 Long of Asc Node: 152.13781 +/- 0.008 Inclination: 1.78165 +/- 0.000 Eccentricity: 0.05763516 +/- 0.0000 Semi-Major Axis: 46.64038278 +/- 0.0030 Time of Perihelion: 2456524.6868 +/- 74.1 Perihelion: 43.95225681 +/- 0.0037 Aphelion: 49.32850875 +/- 0.0039 Period (y) 318.5307 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.10405601 +/- 0.0008 Ecliptic Y 8.54978041 +/- 0.0002 Ecliptic Z -0.86172699 +/- 0.0000 Ecliptic XDOT -0.00052039 +/- 0.0000 Ecliptic YDOT 0.00261642 +/- 0.0000 Ecliptic ZDOT -0.00006439 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.95225777 +/- 0.0008 Geocenter to KBO 43.42593634 +/- 0.0008 # Hcoef: 8.02
The following table shows the complete astrometric record for 13SG101. 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 (13SG101) followed by the observatory code and reference code for the source of the astrometry.
2013 08 05.50481 00 47 13.980 +03 50 07.94 25.4r 13SG101 568 C~2NKO 2013 08 08.48371 00 47 08.471 +03 49 27.53 23.9r 13SG101 568 C~2NKO 2013 08 08.52252 00 47 08.395 +03 49 27.16 23.9r 13SG101 568 C~2NKO 2013 09 01.45434 00 46 02.759 +03 41 54.84 25.0r 13SG101 568 C~2NKO 2013 09 01.49328 00 46 02.623 +03 41 53.89 24.8r 13SG101 568 C~2NKO 2013 09 01.50224 00 46 02.569 +03 41 53.88 24.4r 13SG101 568 C~2NKO 2013 09 05.43382 00 45 48.730 +03 40 21.14 24.1r 13SG101 568 C~2NKP 2013 09 05.47268 00 45 48.590 +03 40 20.21 24.6r 13SG101 568 C~2NKP 2013 09 29.36482 00 44 12.930 +03 29 53.41 24.4r 13SG101 568 C~2NKP 2013 09 29.40366 00 44 12.765 +03 29 52.23 24.8r 13SG101 568 C~2NKP 2013 09 29.50581 00 44 12.319 +03 29 49.36 24.0r 13SG101 568 C~2NKP 2013 09 29.51034 00 44 12.268 +03 29 49.62 24.1r 13SG101 568 C~2NKP 2013 10 05.36346 00 43 47.286 +03 27 08.30 24.1r 13SG101 568 C~2NKP 2013 10 06.37195 00 43 42.956 +03 26 40.37 24.5r 13SG101 568 C~2NKP 2013 10 06.43634 00 43 42.672 +03 26 38.64 24.2r 13SG101 568 C~2NKP 2013 10 07.35873 00 43 38.730 +03 26 13.31 24.6r 13SG101 568 C~2NKP 2013 11 27.34255 00 40 39.117 +03 07 36.82 24.3r 13SG101 568 C~2NKP 2013 12 05.24487 00 40 24.371 +03 06 12.35 24.7r 13SG101 568 C~2NKP 2014 06 25.60449 00 52 01.853 +04 19 48.66 24.8r 13SG101 568 C~2NKP 2014 06 26.60333 00 52 03.490 +04 19 56.74 24.1r 13SG101 568 C~2NKP 2014 07 23.57931 00 52 16.522 +04 20 24.15 24.4r 13SG101 568 C~2NKP 2014 07 27.55990 00 52 13.419 +04 19 56.73 24.5r 13SG101 568 C~2NKP 2014 08 24.50155 00 51 18.234 +04 13 19.78 24.5r 13SG101 568 C~2NKP 2014 08 28.47368 00 51 06.175 +04 11 58.02 24.9r 13SG101 568 C~2NKP 2014 10 23.30719 00 47 23.107 +03 47 55.07 24.3r 13SG101 568 C~2NKP 2014 10 27.27389 00 47 07.191 +03 46 15.44 24.5r 13SG101 568 C~2NKP 2014 11 24.28665 00 45 34.460 +03 36 49.41 24.3r 13SG101 568 C~2NKP 2014 11 25.31299 00 45 31.920 +03 36 34.30 24.5r 13SG101 568 C~2NKP 2014 12 17.35510 00 44 57.009 +03 33 21.34 22.7r 13SG101 568 C~2NKP 2015 01 18.24571 00 45 19.297 +03 36 29.59 24.3r 13SG101 568 C~2NKP 2015 12 07.36547 00 49 55.048 +04 02 33.98 24.4w 13SG101 568 C~2NKP 2017 07 17.61600 01 06 35.124 +05 44 02.44 24.8w 13SG101 568 C~2NKP 2017 07 23.61854 01 06 34.671 +05 43 46.68 13SG101 568 C~2NKP 2017 08 25.50837 01 05 41.970 +05 37 18.48 24.5w 13SG101 568 C~2NKP 2017 08 30.45058 01 05 27.517 +05 35 41.46 24.9w 13SG101 568 C~2NKP 2017 08 30.49734 01 05 27.361 +05 35 40.61 25.0w 13SG101 568 C~2NKP
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 -0.09 2 0.0082 -91.68 0.23 -5.11 -0.28 3 0.0083 -92.87 0.34 -5.01 -0.14 4 0.0738 -1173.90 -0.02 -38.83 0.05 5 0.0739 -1176.14 -0.03 -38.91 -0.01 6 0.0739 -1176.89 -0.27 -38.61 0.31 7 0.0847 -1403.82 -0.14 -43.27 0.13 8 0.0848 -1406.11 -0.09 -43.30 0.11 9 0.1502 -2969.44 0.00 -61.94 0.10 10 0.1503 -2972.18 0.00 -62.06 -0.02 11 0.1506 -2979.45 -0.06 -62.10 -0.06 12 0.1506 -2980.05 ( -0.34) -61.56 ( 0.48) 13 0.1666 -3387.48 0.14 -64.11 0.12 14 0.1694 -3458.09 -0.06 -64.52 -0.03 15 0.1696 -3462.68 -0.08 -64.46 0.02 16 0.1721 -3526.93 -0.07 -64.74 -0.01 17 0.3117 -6440.88 -0.06 -41.59 -0.09 18 0.3333 -6677.42 0.13 -32.96 -0.10 19 0.8873 4661.39 -0.09 -33.81 0.04 20 0.8901 4687.10 0.03 -35.87 -0.15 21 0.9639 4877.49 -0.05 -86.25 0.13 22 0.9748 4824.04 -0.03 -93.52 0.12 23 1.0513 3908.81 -0.01 -138.95 -0.00 24 1.0622 3710.75 -0.01 -144.24 0.04 25 1.2151 74.08 -0.07 -175.58 0.16 26 1.2259 -184.14 -0.02 -174.57 0.02 27 1.3026 -1683.09 -0.02 -154.97 0.06 28 1.3054 -1724.00 -0.26 -154.06 -0.09 29 1.3658 -2280.57 0.13 -127.94 -0.25 30 1.4531 -1899.87 0.20 -84.71 -0.13 31 2.3377 2510.79 0.08 -250.53 -0.04 32 3.9483 18699.48 -0.00 -403.72 0.10 33 3.9647 18687.10 0.11 -415.74 -0.04 34 4.0548 17804.91 0.03 -473.08 -0.03 35 4.0683 17566.70 -0.03 -479.98 -0.06 36 4.0684 17564.21 -0.11 -479.87 0.09
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.
13SG101 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.914 46.923 46.905 ecceobj 0.063 0.064 0.063 incobj 1.778 1.778 1.778 qmin 43.187 43.178 43.157 qmax 50.306 50.294 50.292 amean 46.617 46.626 46.595 amin 46.242 46.258 46.213 amax 47.021 47.015 47.001 emean 0.058 0.058 0.058 emin 0.045 0.046 0.045 emax 0.070 0.070 0.071 imean 1.628 1.627 1.630 imin 1.283 1.283 1.283 imax 1.933 1.932 1.938 excite_mean 0.065 0.065 0.065 fracstop 1.000 1.000 1.000 cjmean 3.129 3.129 3.129 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 188.1 188.4 188.5 kozaiamp 179.9 179.9 179.9