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: 13SX100 # Created Tue Apr 1 01:09:41 2025 # Orbit generated from Bernstein formalism # Fitting 33 observations of 33 # Arc: 4.07y # First observation: 2013/08/05 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000074 0.023309 -0.000001 0.000283 0.023960 0.000000 # Chi-squared of fit: 11.86 DOF: 60 RMS: 0.11 # Min/Max residuals: -0.38 0.37 # Exact a, adot, b, bdot, g, gdot: 1.553345E-05 2.308255E-02 1.905844E-07 2.806683E-04 2.384104E-02 1.411213E-04 # Covariance matrix: 1.1606E-13 -4.7674E-14 3.3504E-16 -2.5158E-16 6.1978E-14 -2.3912E-13 -4.7674E-14 2.2854E-13 -3.6664E-16 2.4121E-15 1.1654E-13 2.4506E-12 3.3504E-16 -3.6664E-16 7.1946E-14 -2.7195E-14 3.1145E-16 -4.3807E-15 -2.5158E-16 2.4121E-15 -2.7195E-14 2.6519E-14 1.3789E-15 2.9254E-14 6.1978E-14 1.1654E-13 3.1145E-16 1.3789E-15 1.9675E-13 1.4297E-12 -2.3912E-13 2.4506E-12 -4.3807E-15 2.9254E-14 1.4297E-12 2.9723E-11 # lat0 lon0 xBary yBary zBary JD0 -1.097726 12.868074 0.879486 -0.009729 -0.509203 2456509.993918 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 298.67873 +/- 0.359 Argument of Peri: 5.11246 +/- 0.386 Long of Asc Node: 69.79332 +/- 0.015 Inclination: 1.27696 +/- 0.000 Eccentricity: 0.01907570 +/- 0.0002 Semi-Major Axis: 42.84367875 +/- 0.0027 Time of Perihelion: 2473948.1600 +/- 102.0 Perihelion: 42.02640567 +/- 0.0092 Aphelion: 43.66095183 +/- 0.0092 Period (y) 280.4390 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.57570941 +/- 0.0008 Ecliptic Y 8.59877780 +/- 0.0002 Ecliptic Z -0.80350980 +/- 0.0000 Ecliptic XDOT -0.00058017 +/- 0.0000 Ecliptic YDOT 0.00258707 +/- 0.0000 Ecliptic ZDOT 0.00003206 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.46321020 +/- 0.0007 Geocenter to KBO 41.94447361 +/- 0.0008 # Hcoef: 7.81
The following table shows the complete astrometric record for 13SX100. 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 (13SX100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 05.49314 00 49 03.814 +04 04 16.01 24.2r 13SX100 568 C~2NKN 2013 08 05.54160 00 49 03.725 +04 04 15.21 24.4r 13SX100 568 C~2NKN 2013 08 05.54632 00 49 03.727 +04 04 15.42 24.0r 13SX100 568 C~2NKN 2013 08 08.47205 00 48 58.175 +04 03 36.67 23.8r 13SX100 568 C~2NKN 2013 08 08.51087 00 48 58.088 +04 03 35.88 24.4r 13SX100 568 C~2NKN 2013 08 31.55693 00 47 53.556 +03 56 24.01 23.8r 13SX100 568 C~2NKN 2013 09 01.44270 00 47 50.447 +03 56 03.42 24.3r 13SX100 568 C~2NKN 2013 09 01.48164 00 47 50.308 +03 56 02.56 24.1r 13SX100 568 C~2NKN 2013 09 05.42217 00 47 35.941 +03 54 28.91 24.1r 13SX100 568 C~2NKN 2013 09 05.46104 00 47 35.793 +03 54 27.92 23.9r 13SX100 568 C~2NKN 2013 09 29.35316 00 45 56.535 +03 43 51.43 24.1r 13SX100 568 C~2NKN 2013 09 29.39201 00 45 56.361 +03 43 50.24 24.0r 13SX100 568 C~2NKN 2013 09 29.43584 00 45 56.174 +03 43 49.17 24.3r 13SX100 568 C~2NKN 2013 10 02.42685 00 45 42.885 +03 42 25.12 23.0r 13SX100 568 C~2NKN 2013 10 09.48473 00 45 11.467 +03 39 07.12 23.9r 13SX100 568 C~2NKN 2013 11 27.27905 00 42 13.045 +03 21 04.47 23.8r 13SX100 568 C~2NKN 2013 11 27.33088 00 42 12.930 +03 21 03.57 24.0r 13SX100 568 C~2NKN 2014 07 23.57931 00 54 10.812 +04 37 50.09 24.0r 13SX100 568 C~2NKN 2014 07 27.55990 00 54 07.709 +04 37 24.99 24.2r 13SX100 568 C~2NKN 2014 08 22.62356 00 53 16.624 +04 31 32.05 25.0r 13SX100 568 C~2NKN 2014 08 24.48990 00 53 11.127 +04 30 55.56 24.1r 13SX100 568 C~2NKN 2014 08 28.45816 00 52 58.687 +04 29 33.70 24.0r 13SX100 568 C~2NKN 2014 08 28.46204 00 52 58.676 +04 29 33.62 24.0r 13SX100 568 C~2NKN 2014 10 27.27001 00 48 50.199 +04 03 24.81 23.5r 13SX100 568 C~2NKN 2014 10 29.31783 00 48 41.813 +04 02 33.62 24.0r 13SX100 568 C~2NKN 2014 11 24.26724 00 47 12.909 +03 53 43.49 24.0r 13SX100 568 C~2NKN 2015 01 18.24571 00 46 54.140 +03 53 22.87 24.4r 13SX100 568 C~2NKN 2015 08 20.52724 00 58 16.537 +05 03 56.99 24.1r 13SX100 568 C~2NKN 2015 12 07.36547 00 51 36.266 +04 22 48.94 24.2w 13SX100 568 C~2NKN 2017 08 25.54688 01 07 49.523 +06 05 15.02 24.2w 13SX100 568 C~2NKN 2017 08 25.62549 01 07 49.287 +06 05 13.49 24.2w 13SX100 568 C~2NKN 2017 08 30.48798 01 07 34.608 +06 03 38.81 24.3w 13SX100 568 C~2NKN 2017 08 30.54049 01 07 34.435 +06 03 37.84 24.7w 13SX100 568 C~2NKN
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 -0.05 0.00 -0.00 2 0.0001 -1.54 -0.11 -0.22 -0.18 3 0.0001 -1.43 0.15 -0.04 0.00 4 0.0082 -93.03 0.24 -3.44 0.12 5 0.0083 -94.54 0.06 -3.66 -0.07 6 0.0714 -1152.11 -0.04 -25.95 0.09 7 0.0738 -1202.98 -0.07 -26.82 -0.07 8 0.0739 -1205.23 -0.03 -26.80 -0.04 9 0.0847 -1439.74 -0.04 -29.40 0.07 10 0.0848 -1442.17 -0.06 -29.45 0.02 11 0.1502 -3058.52 -0.09 -37.22 0.07 12 0.1503 -3061.38 -0.12 -37.31 -0.03 13 0.1504 -3064.38 0.09 -37.20 0.06 14 0.1586 -3280.37 -0.05 -37.10 0.03 15 0.1779 -3790.80 0.37 -36.14 -0.38 16 0.3115 -6674.73 -0.06 9.35 0.05 17 0.3117 -6676.67 -0.04 9.20 -0.21 18 0.9640 5014.42 -0.04 74.71 0.12 19 0.9749 4961.89 0.08 69.53 0.16 20 1.0462 4120.57 -0.05 40.02 0.06 21 1.0513 4030.62 0.00 38.23 0.02 22 1.0622 3827.33 -0.10 34.87 0.02 23 1.0622 3827.15 -0.07 34.86 0.01 24 1.2259 -207.59 -0.08 32.03 0.07 25 1.2316 -343.10 0.06 33.66 0.05 26 1.3026 -1774.94 -0.12 62.92 0.20 27 1.4531 -2041.71 0.04 153.29 -0.06 28 2.0398 9012.04 0.03 100.31 -0.03 29 2.3378 2533.91 0.14 139.80 -0.04 30 4.0549 18365.16 -0.00 212.08 0.01 31 4.0551 18361.29 -0.09 212.01 -0.03 32 4.0684 18120.91 0.03 208.15 -0.09 33 4.0686 18118.14 0.05 208.24 0.01
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.
13SX100 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.065 43.073 43.057 ecceobj 0.020 0.020 0.020 incobj 1.277 1.277 1.277 qmin 40.569 40.578 40.549 qmax 45.247 45.254 45.245 amean 42.822 42.830 42.814 amin 42.497 42.510 42.486 amax 43.154 43.167 43.153 emean 0.030 0.030 0.030 emin 0.008 0.007 0.008 emax 0.049 0.049 0.049 imean 1.193 1.188 1.198 imin 0.385 0.381 0.389 imax 1.688 1.683 1.694 excite_mean 0.037 0.037 0.037 fracstop 1.000 1.000 1.000 cjmean 3.086 3.086 3.086 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 182.4 182.0 183.0 kozaiamp 180.0 180.0 180.0