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: 13SJ102 # Created Fri Nov 22 02:09:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 55 observations of 55 # Arc: 5.03y # First observation: 2013/09/28 # Last observation: 2018/10/10 # Chi-squared of fit: 7.12 DOF: 104 RMS: 0.06 # Min/Max residuals: -0.22 0.18 # Exact a, adot, b, bdot, g, gdot: 1.924926E-05 3.621878E-02 7.021918E-07 1.972238E-05 3.058203E-02 -5.934059E-03 # Covariance matrix: 9.6365E-14 -3.3450E-14 -1.4834E-15 -1.6693E-17 5.7490E-14 -6.6792E-14 -3.3450E-14 1.0482E-13 -1.5309E-15 3.3673E-16 7.6415E-14 6.4167E-13 -1.4834E-15 -1.5309E-15 6.4360E-14 -1.9245E-14 -5.1627E-15 -1.1991E-14 -1.6693E-17 3.3673E-16 -1.9245E-14 9.7324E-15 3.4784E-16 2.3048E-15 5.7490E-14 7.6415E-14 -5.1627E-15 3.4784E-16 2.1968E-13 5.8248E-13 -6.6792E-14 6.4167E-13 -1.1991E-14 2.3048E-15 5.8248E-13 4.3581E-12 # lat0 lon0 xBary yBary zBary JD0 -7.569626 4.254923 -0.009936 -0.131930 -0.993505 2456563.625358 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 334.39906 +/- 0.006 Argument of Peri: 315.64886 +/- 0.011 Long of Asc Node: 93.81451 +/- 0.001 Inclination: 7.34538 +/- 0.000 Eccentricity: 0.27897522 +/- 0.0001 Semi-Major Axis: 43.71932093 +/- 0.0040 Time of Perihelion: 2464073.1504 +/- 13.6 Perihelion: 31.52271388 +/- 0.0042 Aphelion: 55.91592798 +/- 0.0060 Period (y) 289.0802 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.32292783 +/- 0.0005 Ecliptic Y 2.49227345 +/- 0.0000 Ecliptic Z -4.30745383 +/- 0.0001 Ecliptic XDOT -0.00077168 +/- 0.0000 Ecliptic YDOT 0.00319318 +/- 0.0000 Ecliptic ZDOT 0.00007187 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.69257930 +/- 0.0005 Geocenter to KBO 32.69907774 +/- 0.0005 # Hcoef: 7.43
The following table shows the complete astrometric record for 13SJ102. 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 (13SJ102) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.12458 00 27 39.428 -05 15 21.45 23.4g 13SJ102 W84 C~4yR0 2013 09 28.12458 00 27 39.43 -05 15 21.5 23.6g 13SJ102 W84 C~3clF 2013 09 28.13265 00 27 39.38 -05 15 21.5 22.0i 13SJ102 W84 C~3clF 2013 10 03.097396 00 27 12.53 -05 18 10.1 23.5g 13SJ102 W84 C~35bY 2013 10 03.09792 00 27 12.533 -05 18 10.12 23.2g 13SJ102 W84 C~4yR0 2013 10 04.18090 00 27 06.671 -05 18 45.89 22.6r 13SJ102 W84 C~4yR0 2013 10 04.18090 00 27 06.67 -05 18 45.9 22.5r 13SJ102 W84 C~3clF 2013 10 13.22812 00 26 18.409 -05 23 29.01 22.1i 13SJ102 W84 C~4yR0 2013 10 13.22812 00 26 18.41 -05 23 29.0 22.4i 13SJ102 W84 C~3clF 2013 10 13.23093 00 26 18.388 -05 23 29.08 22.0z 13SJ102 W84 C~4yR0 2013 10 13.23093 00 26 18.39 -05 23 29.1 22.2z 13SJ102 W84 C~3clF 2013 11 08.07750 00 24 17.597 -05 33 14.92 23.1r 13SJ102 W84 C~4yR0 2013 11 08.07750 00 24 17.60 -05 33 14.9 22.9r 13SJ102 W84 C~3clF 2013 11 08.07887 00 24 17.590 -05 33 15.03 22.4i 13SJ102 W84 C~4yR1 2013 11 08.07887 00 24 17.59 -05 33 15.0 22.6i 13SJ102 W84 C~3clF 2013 11 08.08025 00 24 17.584 -05 33 14.90 22.1z 13SJ102 W84 C~4yR1 2013 11 08.08025 00 24 17.58 -05 33 14.9 22.2z 13SJ102 W84 C~3clF 2014 10 03.27155 00 34 53.274 -04 28 06.58 22.5r 13SJ102 W84 C~4yR1 2014 11 13.12408 00 31 35.423 -04 44 57.23 22.8r 13SJ102 W84 C~4yR1 2014 11 13.12408 00 31 35.42 -04 44 57.2 22.9r 13SJ102 W84 C~3clF 2014 11 14.06166 00 31 31.99 -04 45 08.9 22.7i 13SJ102 W84 C~3clF 2014 11 15.03684 00 31 28.51 -04 45 20.2 23.0r 13SJ102 W84 C~3clF 2014 11 15.075301 00 31 28.36 -04 45 20.8 22.3i 13SJ102 W84 C~35bY 2014 11 15.07583 00 31 28.363 -04 45 20.81 22.1i 13SJ102 W84 C~4yR1 2014 11 15.07583 00 31 28.36 -04 45 20.8 22.1i 13SJ102 W84 C~3clF 2014 11 15.11946 00 31 28.205 -04 45 21.24 22.1z 13SJ102 W84 C~4yR1 2014 11 15.11946 00 31 28.20 -04 45 21.2 22.2z 13SJ102 W84 C~3clF 2014 11 21.10212 00 31 08.599 -04 46 15.99 22.0z 13SJ102 W84 C~4yR1 2014 11 21.10212 00 31 08.59 -04 46 15.9 22.6z 13SJ102 W84 C~3clF 2016 08 26.31312 00 53 28.071 -02 23 28.41 22.5r 13SJ102 W84 C~4yR1 2016 08 26.31312 00 53 28.07 -02 23 28.4 22.7r 13SJ102 W84 C~3clF 2016 08 26.31450 00 53 28.062 -02 23 28.51 22.4i 13SJ102 W84 C~4yR1 2016 08 26.31450 00 53 28.06 -02 23 28.5 22.4i 13SJ102 W84 C~3clF 2016 11 05.20496 00 47 31.348 -03 01 27.55 22.4i 13SJ102 W84 C~4yR1 2016 11 05.20496 00 47 31.35 -03 01 27.5 22.5i 13SJ102 W84 C~3clF 2016 11 06.18839 00 47 26.885 -03 01 47.06 22.6r 13SJ102 W84 C~4yR1 2016 11 06.18839 00 47 26.88 -03 01 47.1 22.6r 13SJ102 W84 C~3clF 2016 11 06.18978 00 47 26.878 -03 01 47.10 23.5g 13SJ102 W84 C~4yR1 2016 11 06.18978 00 47 26.88 -03 01 47.1 23.5g 13SJ102 W84 C~3clF 2016 11 07.10960 00 47 22.761 -03 02 04.85 21.3z 13SJ102 W84 C~4yR1 2016 11 07.10960 00 47 22.77 -03 02 04.7 21.8z 13SJ102 W84 C~3clF 2016 11 25.10179 00 46 14.988 -03 05 55.14 22.6r 13SJ102 W84 C~4yR1 2016 11 25.10179 00 46 14.99 -03 05 55.1 22.9r 13SJ102 W84 C~3clF 2016 11 26.09236 00 46 12.078 -03 06 01.07 23.9g 13SJ102 W84 C~4yR1 2016 11 26.09236 00 46 12.08 -03 06 01.1 23.9g 13SJ102 W84 C~3clF 2017 08 28.35853 01 01 11.387 -01 32 15.13 22.7r 13SJ102 W84 C~4yR1 2017 08 28.35991 01 01 11.381 -01 32 15.20 22.3i 13SJ102 W84 C~4yR1 2017 08 28.36129 01 01 11.376 -01 32 15.27 23.9g 13SJ102 W84 C~4yR1 2017 09 14.31403 00 59 57.100 -01 42 02.21 22.3z 13SJ102 W84 C~4yR1 2017 09 24.28696 00 59 06.042 -01 48 01.58 22.4r 13SJ102 W84 C~4yR1 2017 09 24.32046 00 59 05.863 -01 48 02.84 22.4i 13SJ102 W84 C~4yR1 2017 09 24.32185 00 59 05.853 -01 48 02.93 23.1g 13SJ102 W84 C~4yR1 2018 10 10.27473 01 05 37.179 -01 04 05.84 22.1i 13SJ102 W84 C~4yR1 2018 10 10.27611 01 05 37.171 -01 04 05.82 22.5r 13SJ102 W84 C~4yR1 2018 10 10.27748 01 05 37.166 -01 04 05.96 23.3g 13SJ102 W84 C~4yR1
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 -0.17 2 0.0000 0.00 -0.01 0.00 -0.22 3 0.0000 0.00 -0.10 0.00 0.06 4 0.0136 0.00 -0.08 0.00 0.03 5 0.0136 0.00 0.00 0.00 0.03 6 0.0166 0.00 -0.06 0.00 0.08 7 0.0166 0.00 -0.05 0.00 0.09 8 0.0414 0.00 0.07 0.00 0.04 9 0.0414 0.00 0.06 0.00 0.03 10 0.0414 0.00 -0.00 0.00 0.02 11 0.0414 0.00 -0.03 0.00 0.04 12 0.1121 0.00 0.05 0.00 0.02 13 0.1121 0.00 0.09 0.00 0.04 14 0.1121 0.00 0.03 0.00 -0.04 15 0.1121 0.00 0.03 0.00 -0.07 16 0.1121 0.00 -0.04 0.00 0.08 17 0.1121 0.00 0.02 0.00 0.08 18 1.0134 0.00 0.04 0.00 -0.01 19 1.1253 0.00 -0.01 0.00 0.06 20 1.1253 0.00 0.03 0.00 0.03 21 1.1278 0.00 -0.06 0.00 -0.02 22 1.1305 0.00 0.11 0.00 0.11 23 1.1306 0.00 -0.04 0.00 -0.05 24 1.1306 0.00 -0.01 0.00 -0.05 25 1.1306 0.00 0.04 0.00 -0.06 26 1.1307 0.00 -0.03 0.00 0.05 27 1.1307 0.00 0.05 0.00 0.01 28 1.1471 0.00 -0.06 0.00 -0.04 29 1.1471 0.00 0.07 0.00 -0.13 30 2.9109 0.00 0.06 0.00 -0.00 31 2.9109 0.00 0.08 0.00 -0.01 32 2.9109 0.00 -0.01 0.00 -0.06 33 2.9109 0.00 0.02 0.00 -0.07 34 3.1049 0.00 0.05 0.00 0.09 35 3.1049 0.00 0.02 0.00 0.04 36 3.1076 0.00 -0.08 0.00 -0.03 37 3.1076 0.00 -0.01 0.00 0.01 38 3.1076 0.00 0.01 0.00 0.00 39 3.1076 0.00 -0.02 0.00 0.00 40 3.1102 0.00 0.01 0.00 0.07 41 3.1102 0.00 -0.13 0.00 -0.08 42 3.1594 0.00 -0.10 0.00 0.03 43 3.1594 0.00 -0.13 0.00 -0.01 44 3.1621 0.00 0.18 0.00 -0.05 45 3.1621 0.00 0.15 0.00 -0.02 46 3.9158 0.00 0.02 0.00 0.09 47 3.9158 0.00 0.01 0.00 0.06 48 3.9158 0.00 0.01 0.00 0.04 49 3.9622 0.00 0.05 0.00 -0.03 50 3.9895 0.00 0.00 0.00 0.05 51 3.9896 0.00 0.03 0.00 -0.00 52 3.9896 0.00 -0.01 0.00 -0.04 53 5.0326 0.00 -0.03 0.00 -0.02 54 5.0326 0.00 -0.03 0.00 0.05 55 5.0326 0.00 0.01 0.00 -0.05
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.
13SJ102 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.985 43.984 43.985 ecceobj 0.282 0.282 0.282 incobj 7.349 7.349 7.349 qmin 31.150 31.154 31.136 qmax 57.026 57.022 57.090 amean 43.726 43.726 43.726 amin 43.241 43.212 43.211 amax 44.334 44.342 44.351 emean 0.273 0.273 0.274 emin 0.258 0.259 0.258 emax 0.288 0.288 0.289 imean 5.924 5.796 5.880 imin 5.066 5.066 5.066 imax 6.863 6.771 6.670 excite_mean 0.292 0.292 0.292 fracstop 1.000 1.000 1.000 cjmean 2.995 2.995 2.995 libcent 0 179.8 180.2 180.7 libamp 0 97.5 98.6 98.9 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 182.1 182.6 174.2 kozaiamp 180.0 180.0 180.0