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: 13SH102 # Created Sun Dec 22 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 5.99y # First observation: 2013/09/30 # Last observation: 2019/09/27 # Chi-squared of fit: 8.73 DOF: 52 RMS: 0.10 # Min/Max residuals: -0.21 0.26 # Exact a, adot, b, bdot, g, gdot: 1.485963E-05 2.576608E-02 -5.214640E-06 -9.055350E-03 2.693503E-02 1.389003E-03 # Covariance matrix: 3.6066E-13 -1.5219E-13 -2.8091E-14 3.1792E-14 1.5004E-13 -5.7836E-13 -1.5219E-13 1.2897E-13 3.4158E-14 -3.9806E-14 8.5390E-16 7.2733E-13 -2.8091E-14 3.4158E-14 2.2541E-13 -5.9190E-14 9.2876E-15 2.2022E-13 3.1792E-14 -3.9806E-14 -5.9190E-14 2.7649E-14 -1.3674E-14 -2.5822E-13 1.5004E-13 8.5390E-16 9.2876E-15 -1.3674E-14 4.5545E-13 2.5750E-13 -5.7836E-13 7.2733E-13 2.2022E-13 -2.5822E-13 2.5750E-13 4.7223E-12 # lat0 lon0 xBary yBary zBary JD0 -0.843534 2.448616 -0.076425 -0.014603 -0.998608 2456565.663198 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 93.32643 +/- 0.105 Argument of Peri: 83.38279 +/- 0.091 Long of Asc Node: 180.23213 +/- 0.000 Inclination: 19.38811 +/- 0.000 Eccentricity: 0.05071251 +/- 0.0001 Semi-Major Axis: 37.91670253 +/- 0.0039 Time of Perihelion: 2434458.6535 +/- 25.0 Perihelion: 35.99385139 +/- 0.0047 Aphelion: 39.83955367 +/- 0.0050 Period (y) 233.4823 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.08254704 +/- 0.0009 Ecliptic Y 1.70801340 +/- 0.0000 Ecliptic Z -0.54678521 +/- 0.0000 Ecliptic XDOT 0.00000944 +/- 0.0000 Ecliptic YDOT 0.00262076 +/- 0.0000 Ecliptic ZDOT -0.00092228 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.12472152 +/- 0.0009 Geocenter to KBO 37.12637839 +/- 0.0009 # Hcoef: 7.43
The following table shows the complete astrometric record for 13SH102. 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 (13SH102) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.16242 00 10 19.692 +00 11 58.93 22.9r 13SH102 W84 C~4yR0 2013 11 22.06982 00 06 59.888 -00 13 49.19 22.8r 13SH102 W84 C~4yR0 2013 11 22.07119 00 06 59.875 -00 13 49.09 22.7i 13SH102 W84 C~4yR0 2013 11 23.09553 00 06 57.823 -00 14 06.66 23.4i 13SH102 W84 C~4yR0 2014 08 18.30786 00 19 41.201 +00 43 19.41 23.3i 13SH102 W84 C~4yR0 2014 10 02.25263 00 16 24.617 +00 17 27.14 22.1i 13SH102 W84 C~4yR0 2014 11 14.09392 00 13 29.989 -00 04 34.40 22.9z 13SH102 W84 C~4yR0 2016 09 10.26940 00 30 28.984 +00 43 24.98 22.8z 13SH102 W84 C~4yR0 2016 10 02.18440 00 28 46.204 +00 30 10.12 22.3i 13SH102 W84 C~4yR0 2016 10 23.13956 00 27 08.893 +00 18 09.13 23.1r 13SH102 W84 C~4yR0 2016 10 23.14093 00 27 08.900 +00 18 09.32 24.0g 13SH102 W84 C~4yR0 2016 11 08.13786 00 26 05.588 +00 10 30.43 22.4i 13SH102 W84 C~4yR0 2016 11 08.13923 00 26 05.576 +00 10 30.56 22.5z 13SH102 W84 C~4yR0 2017 09 27.209722 00 35 21.44 +00 39 45.1 23.0r 13SH102 W84 C~352C 2017 09 27.21025 00 35 21.439 +00 39 45.13 22.9r 13SH102 W84 C~4yR0 2017 09 27.211088 00 35 21.44 +00 39 44.9 22.5i 13SH102 W84 C~352C 2017 09 27.21161 00 35 21.436 +00 39 44.96 22.5i 13SH102 W84 C~4yR0 2017 09 27.21299 00 35 21.447 +00 39 44.76 23.6g 13SH102 W84 C~4yR0 2017 10 29.13070 00 32 53.666 +00 21 37.71 23.0z 13SH102 W84 C~4yR0 2018 09 09.33831 00 42 53.230 +00 56 59.18 22.8r 13SH102 W84 C~4yR0 2018 09 09.33970 00 42 53.228 +00 56 59.06 22.7i 13SH102 W84 C~4yR0 2018 09 09.34107 00 42 53.222 +00 56 59.19 24.1g 13SH102 W84 C~4yR0 2018 09 17.31579 00 42 18.094 +00 52 16.17 22.5i 13SH102 W84 C~4yR0 2018 10 18.18643 00 39 51.951 +00 33 57.00 22.8z 13SH102 W84 C~4yR0 2019 09 27.31986 00 47 41.21 +00 52 45.0 25.2g 13SH102 T09 C~82mS 2019 09 27.41507 00 47 40.75 +00 52 41.6 24.7g 13SH102 T09 C~82mS 2019 09 27.51032 00 47 40.29 +00 52 38.1 24.1g 13SH102 T09 C~82mS 2019 09 27.58001 00 47 39.95 +00 52 35.6 25.1g 13SH102 T09 C~82mS 2019 09 27.59048 00 47 39.91 +00 52 35.3 24.7g 13SH102 T09 C~82mS
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 0.00 2 0.1449 0.00 0.09 0.00 -0.04 3 0.1449 0.00 -0.06 0.00 0.09 4 0.1477 0.00 -0.08 0.00 0.02 5 0.8820 0.00 0.01 0.00 0.10 6 1.0050 0.00 0.08 0.00 0.19 7 1.1223 0.00 -0.01 0.00 -0.21 8 2.9462 0.00 -0.14 0.00 -0.11 9 3.0062 0.00 -0.08 0.00 -0.03 10 3.0636 0.00 -0.09 0.00 -0.07 11 3.0636 0.00 0.10 0.00 0.16 12 3.1074 0.00 0.03 0.00 -0.18 13 3.1074 0.00 -0.08 0.00 -0.01 14 3.9919 0.00 -0.09 0.00 0.09 15 3.9919 0.00 -0.06 0.00 0.14 16 3.9919 0.00 0.01 0.00 -0.06 17 3.9919 0.00 -0.01 0.00 0.02 18 3.9919 0.00 0.26 0.00 -0.13 19 4.0793 0.00 0.18 0.00 -0.17 20 4.9423 0.00 -0.05 0.00 0.00 21 4.9423 0.00 0.01 0.00 -0.07 22 4.9423 0.00 0.01 0.00 0.11 23 4.9641 0.00 -0.01 0.00 -0.06 24 5.0487 0.00 0.14 0.00 0.17 25 5.9908 0.00 -0.01 0.00 -0.03 26 5.9911 0.00 -0.02 0.00 0.03 27 5.9914 0.00 -0.02 0.00 -0.02 28 5.9916 0.00 -0.09 0.00 0.01 29 5.9916 0.00 0.07 0.00 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.
13SH102 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.096 38.096 38.096 ecceobj 0.052 0.052 0.052 incobj 19.332 19.332 19.332 qmin 35.534 35.532 35.535 qmax 40.540 40.632 40.541 amean 37.973 37.970 37.960 amin 37.690 37.677 37.663 amax 38.265 38.279 38.254 emean 0.044 0.044 0.043 emin 0.028 0.029 0.029 emax 0.061 0.062 0.061 imean 20.178 20.183 20.179 imin 18.757 18.756 18.756 imax 21.885 21.894 21.887 excite_mean 0.348 0.348 0.348 fracstop 1.000 1.000 1.000 cjmean 2.900 2.900 2.900 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 183.2 183.2 183.1 kozaiamp 180.0 179.9 180.0