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: 13SA101 # Created Tue Sep 30 01:09:49 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 35 observations of 35 # Arc: 6.24y # First observation: 2013/08/05 # Last observation: 2019/11/01 # Chi-squared of fit: 16.68 DOF: 64 RMS: 0.12 # Min/Max residuals: -0.28 0.26 # Exact a, adot, b, bdot, g, gdot: 1.317436E-05 1.636416E-02 2.626638E-07 6.258265E-04 1.994047E-02 4.774333E-03 # Covariance matrix: 1.3200E-13 -3.1637E-14 1.2691E-15 -1.2382E-15 8.1517E-14 -3.5365E-13 -3.1637E-14 1.7387E-13 -1.9950E-15 7.1803E-15 8.0357E-14 2.0656E-12 1.2691E-15 -1.9950E-15 5.9129E-14 -1.4339E-14 3.4865E-16 -2.7404E-14 -1.2382E-15 7.1803E-15 -1.4339E-14 1.2255E-14 2.9704E-15 9.2455E-14 8.1517E-14 8.0357E-14 3.4865E-16 2.9704E-15 1.5428E-13 8.5775E-13 -3.5365E-13 2.0656E-12 -2.7404E-14 9.2455E-14 8.5775E-13 2.6592E-11 # lat0 lon0 xBary yBary zBary JD0 -3.053101 11.299687 0.865181 -0.028373 -0.532479 2456509.997828 # Heliocentric elements and errors Epoch: 2456510.5000 = 2013/08/06 Mean Anomaly: 88.35219 +/- 0.056 Argument of Peri: 187.01304 +/- 0.035 Long of Asc Node: 65.31389 +/- 0.005 Inclination: 3.68609 +/- 0.000 Eccentricity: 0.26769316 +/- 0.0002 Semi-Major Axis: 47.75342810 +/- 0.0081 Time of Perihelion: 2426929.0071 +/- 20.3 Perihelion: 34.97016186 +/- 0.0124 Aphelion: 60.53669433 +/- 0.0150 Period (y) 330.0008 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 49.79959057 +/- 0.0010 Ecliptic Y 9.07156750 +/- 0.0002 Ecliptic Z -2.67096593 +/- 0.0001 Ecliptic XDOT 0.00019992 +/- 0.0000 Ecliptic YDOT 0.00233157 +/- 0.0000 Ecliptic ZDOT 0.00005103 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.68933541 +/- 0.0010 Geocenter to KBO 50.14911258 +/- 0.0010 # Hcoef: 7.16
The following table shows the complete astrometric record for 13SA101. 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 (13SA101) followed by the observatory code and reference code for the source of the astrometry.
2013 08 05.49705 00 46 19.922 +01 39 35.03 23.8r 13SA101 568 C~2NKN 2013 08 05.55029 00 46 19.847 +01 39 34.24 24.1r 13SA101 568 C~2NKN 2013 08 31.56101 00 45 17.544 +01 31 54.32 23.9r 13SA101 568 C~2NKN 2013 09 01.44658 00 45 14.807 +01 31 35.33 23.1r 13SA101 568 C~2NKN 2013 09 01.48552 00 45 14.692 +01 31 34.41 24.2r 13SA101 568 C~2NKN 2013 09 05.42605 00 45 02.188 +01 30 08.59 24.4r 13SA101 568 C~2NKN 2013 09 05.46492 00 45 02.075 +01 30 07.63 24.0r 13SA101 568 C~2NKN 2013 09 29.35704 00 43 36.544 +01 20 46.22 24.2r 13SA101 568 C~2NKN 2013 09 29.39589 00 43 36.396 +01 20 45.14 23.7r 13SA101 568 C~2NKN 2013 09 29.43972 00 43 36.228 +01 20 44.08 23.8r 13SA101 568 C~2NKN 2013 10 02.43081 00 43 24.832 +01 19 32.38 23.9r 13SA101 568 C~2NKN 2013 10 02.43568 00 43 24.813 +01 19 32.40 24.3r 13SA101 568 C~2NKN 2013 10 05.31801 00 43 13.854 +01 18 23.39 24.5r 13SA101 568 C~2NKN 2013 10 05.32294 00 43 13.840 +01 18 23.31 24.1r 13SA101 568 C~2NKN 2013 10 05.35570 00 43 13.690 +01 18 22.74 24.3r 13SA101 568 C~2NKN 2013 10 06.36409 00 43 09.845 +01 17 58.68 23.9r 13SA101 568 C~2NKN 2013 10 07.35091 00 43 06.093 +01 17 35.27 24.0r 13SA101 568 C~2NKN 2013 11 27.28847 00 40 25.348 +01 02 31.07 24.1r 13SA101 568 C~2NKN 2013 11 27.33479 00 40 25.246 +01 02 30.70 24.1r 13SA101 568 C~2NKN 2013 12 06.20469 00 40 10.228 +01 01 29.79 24.1r 13SA101 568 C~2NKO 2014 06 25.59667 00 49 49.972 +02 06 26.47 24.9r 13SA101 568 C~2NKO 2014 06 26.59553 00 49 51.225 +02 06 31.21 24.2r 13SA101 568 C~2NKO 2014 07 24.59245 00 49 57.209 +02 05 32.31 24.1r 13SA101 568 C~2NKO 2014 08 29.61851 00 48 48.357 +01 56 37.79 24.1r 13SA101 568 C~2NKO 2014 10 23.32278 00 45 32.863 +01 35 48.46 24.0r 13SA101 568 C~2NKO 2014 11 24.27501 00 43 56.470 +01 27 01.74 24.5r 13SA101 568 C~2NKO 2014 11 25.30131 00 43 54.199 +01 26 51.17 24.0r 13SA101 568 C~2NKO 2014 12 17.33921 00 43 22.202 +01 24 55.03 23.9r 13SA101 568 C~2NKO 2015 01 17.23338 00 43 36.957 +01 28 42.04 24.4r 13SA101 568 C~2NKO 2015 08 20.53545 00 52 35.168 +02 23 14.71 24.4r 13SA101 568 C~2NKO 2015 12 07.36135 00 46 54.601 +01 49 00.30 24.3w 13SA101 568 C~2NKO 2019 11 01.28423 01 01 42.51 +03 29 46.3 25.5g 13SA101 T09 C~93Rt 2019 11 01.34895 01 01 42.27 +03 29 45.3 25.4g 13SA101 T09 C~93Rt 2019 11 01.41545 01 01 42.03 +03 29 43.9 24.8g 13SA101 T09 C~93Rt 2019 11 01.51171 01 01 41.72 +03 29 42.1 25.0g 13SA101 T09 C~93Rt
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 -0.06 0.00 0.03 2 0.0001 0.00 0.18 0.00 -0.04 3 0.0714 0.00 0.25 0.00 0.24 4 0.0738 0.00 -0.12 0.00 0.13 5 0.0739 0.00 -0.01 0.00 0.04 6 0.0847 0.00 -0.17 0.00 0.12 7 0.0848 0.00 0.06 0.00 0.02 8 0.1502 0.00 -0.02 0.00 0.07 9 0.1503 0.00 0.01 0.00 -0.07 10 0.1504 0.00 0.03 0.00 -0.08 11 0.1586 0.00 -0.25 0.00 0.00 12 0.1586 0.00 -0.25 0.00 0.14 13 0.1665 0.00 0.18 0.00 -0.11 14 0.1665 0.00 0.26 0.00 -0.08 15 0.1666 0.00 -0.09 0.00 0.13 16 0.1694 0.00 -0.05 0.00 -0.01 17 0.1721 0.00 0.10 0.00 -0.10 18 0.3115 0.00 0.04 0.00 -0.07 19 0.3117 0.00 -0.06 0.00 -0.02 20 0.3360 0.00 -0.11 0.00 0.04 21 0.8873 0.00 -0.28 0.00 -0.28 22 0.8901 0.00 -0.03 0.00 0.07 23 0.9667 0.00 0.09 0.00 0.09 24 1.0654 0.00 -0.02 0.00 -0.04 25 1.2151 0.00 0.04 0.00 0.03 26 1.3026 0.00 0.06 0.00 -0.21 27 1.3054 0.00 0.01 0.00 -0.03 28 1.3658 0.00 0.13 0.00 -0.00 29 1.4503 0.00 0.08 0.00 0.04 30 2.0398 0.00 0.13 0.00 -0.00 31 2.3378 0.00 -0.01 0.00 -0.11 32 6.2390 0.00 0.08 0.00 -0.14 33 6.2392 0.00 -0.11 0.00 0.12 34 6.2393 0.00 -0.21 0.00 0.02 35 6.2396 0.00 0.19 0.00 0.11
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.
13SA101 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.032 48.032 48.032 ecceobj 0.268 0.268 0.267 incobj 3.685 3.685 3.685 qmin 34.117 34.116 34.117 qmax 62.037 62.038 62.037 amean 47.798 47.798 47.798 amin 47.318 47.318 47.318 amax 48.414 48.415 48.414 emean 0.268 0.268 0.268 emin 0.250 0.250 0.250 emax 0.284 0.284 0.284 imean 3.465 3.464 3.465 imin 2.730 2.730 2.730 imax 4.375 4.375 4.375 excite_mean 0.275 0.275 0.275 fracstop 1.000 1.000 1.000 cjmean 3.053 3.053 3.053 libcent 0 76.3 76.3 76.3 libamp 0 22.5 22.5 22.4 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 178.5 178.6 178.5 kozaiamp 180.0 180.0 180.0