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: 16SO56 # Created Sun Dec 22 02:10:52 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 5.08y # First observation: 2013/11/03 # Last observation: 2018/12/01 # Chi-squared of fit: 10.51 DOF: 42 RMS: 0.12 # Min/Max residuals: -0.21 0.31 # Exact a, adot, b, bdot, g, gdot: 1.624230E-05 2.491390E-02 -3.174618E-06 -4.816205E-03 2.382598E-02 6.567491E-03 # Covariance matrix: 4.4427E-13 -2.6797E-13 -2.5449E-14 3.3734E-14 -8.2778E-14 -1.5329E-12 -2.6797E-13 3.1297E-13 4.1310E-14 -5.3371E-14 1.6665E-14 2.4538E-12 -2.5449E-14 4.1310E-14 3.2597E-13 -1.0172E-13 7.4978E-16 3.6379E-13 3.3734E-14 -5.3371E-14 -1.0172E-13 4.4549E-14 -4.9398E-15 -4.6996E-13 -8.2778E-14 1.6665E-14 7.4978E-16 -4.9398E-15 3.3708E-13 1.4350E-13 -1.5329E-12 2.4538E-12 3.6379E-13 -4.6996E-13 1.4350E-13 2.1608E-11 # lat0 lon0 xBary yBary zBary JD0 -12.413046 31.391707 -0.156796 -0.210218 -0.955674 2456599.587878 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 23.32895 +/- 0.011 Argument of Peri: 174.52808 +/- 0.017 Long of Asc Node: 164.35460 +/- 0.001 Inclination: 16.31586 +/- 0.000 Eccentricity: 0.39609558 +/- 0.0002 Semi-Major Axis: 62.79963358 +/- 0.0182 Time of Perihelion: 2444821.0012 +/- 7.5 Perihelion: 37.92497634 +/- 0.0179 Aphelion: 87.67429082 +/- 0.0291 Period (y) 497.6728 +/- 0.22 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.74262295 +/- 0.0008 Ecliptic Y 21.99754744 +/- 0.0005 Ecliptic Z -9.02215874 +/- 0.0002 Ecliptic XDOT -0.00096980 +/- 0.0000 Ecliptic YDOT 0.00276410 +/- 0.0000 Ecliptic ZDOT -0.00070258 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.92797272 +/- 0.0008 Geocenter to KBO 41.97084239 +/- 0.0010 # Hcoef: 7.31
The following table shows the complete astrometric record for 16SO56. 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 (16SO56) followed by the observatory code and reference code for the source of the astrometry.
2013 11 03.08710 02 14 05.07 +00 17 38.8 23.9r 16SO56 W84 C~55Zw 2013 11 03.14978 02 14 04.78 +00 17 37.3 16SO56 W84 C~55Zw 2013 11 03.21823 02 14 04.48 +00 17 35.7 16SO56 W84 C~55Zw 2014 10 29.27817 02 20 09.852 +00 33 03.13 23.5i 16SO56 W84 C~55Zw 2015 12 15.15949 02 22 45.763 +00 34 45.78 23.4i 16SO56 W84 C~55Zw 2016 09 09.40569 02 34 16.122 +01 22 29.22 23.1i 16SO56 W84 C~55Zx 2016 09 10.36303 02 34 13.968 +01 22 01.93 23.6r 16SO56 W84 C~55Zx 2016 09 27.45294 02 33 25.33 +01 13 41.1 24.6g 16SO56 568 C~2eAI 2016 09 27.62188 02 33 24.75 +01 13 36.1 24.5g 16SO56 568 C~2eAI 2016 09 28.46202 02 33 21.91 +01 13 11.2 24.5g 16SO56 568 C~2eAI 2016 09 28.52267 02 33 21.70 +01 13 09.3 24.5g 16SO56 568 C~2eAI 2016 09 28.58192 02 33 21.49 +01 13 07.6 24.4g 16SO56 568 C~2eAI 2016 09 29.47382 02 33 18.42 +01 12 41.1 24.5g 16SO56 568 C~2eAI 2016 09 29.53424 02 33 18.21 +01 12 39.3 24.4g 16SO56 568 C~2eAI 2016 09 29.59403 02 33 18.00 +01 12 37.5 24.6g 16SO56 568 C~2eAI 2016 11 04.18347 02 30 52.334 +00 56 34.39 23.6r 16SO56 W84 C~55Zx 2016 11 04.20137 02 30 52.261 +00 56 33.70 23.5i 16SO56 W84 C~55Zx 2016 11 04.20412 02 30 52.229 +00 56 33.87 23.6r 16SO56 W84 C~55Zx 2016 11 10.16829 02 30 26.256 +00 54 26.57 23.1z 16SO56 W84 C~55Zx 2016 11 25.12200 02 29 24.035 +00 50 15.35 22.6z 16SO56 W84 C~55Zx 2017 09 18.32393 02 39 19.999 +01 30 47.18 23.4i 16SO56 W84 C~55Zx 2018 10 28.26554 02 42 16.685 +01 24 40.91 22.3z 16SO56 W84 C~55Zx 2018 12 01.08313 02 39 54.195 +01 14 25.50 23.5r 16SO56 W84 C~55Zx 2018 12 01.08452 02 39 54.195 +01 14 25.40 24.5g 16SO56 W84 C~55Zx
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 0.02
2 0.0002 0.00 -0.10 0.00 -0.03
3 0.0004 0.00 -0.01 0.00 -0.04
4 0.9861 0.00 0.01 0.00 0.05
5 2.1138 0.00 0.15 0.00 -0.04
6 2.8510 0.00 0.18 0.00 0.07
7 2.8536 0.00 0.05 0.00 -0.06
8 2.9004 0.00 -0.17 0.00 0.06
9 2.9008 0.00 -0.14 0.00 0.08
10 2.9031 0.00 -0.09 0.00 0.14
11 2.9033 0.00 -0.06 0.00 0.04
12 2.9035 0.00 -0.09 0.00 0.11
13 2.9059 0.00 -0.10 0.00 0.09
14 2.9061 0.00 -0.03 0.00 0.08
15 2.9062 0.00 0.01 0.00 0.06
16 3.0037 0.00 0.10 0.00 0.09
17 3.0037 0.00 0.20 0.00 -0.20
18 3.0037 0.00 -0.10 0.00 0.03
19 3.0201 0.00 0.05 0.00 -0.19
20 3.0610 0.00 0.12 0.00 -0.18
21 3.8747 0.00 0.13 0.00 -0.20
22 4.9834 0.00 0.31 0.00 0.06
23 5.0760 0.00 -0.21 0.00 0.06
24 5.0760 0.00 -0.13 0.00 -0.03
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.
16SO56 quality flag:3 Type: 3:1EE 3:1EE 3:1EE axisobj 63.458 63.458 63.457 ecceobj 0.403 0.403 0.403 incobj 16.279 16.279 16.279 qmin 35.562 35.561 35.564 qmax 91.019 91.011 91.027 amean 62.631 62.631 62.631 amin 61.877 61.876 61.879 amax 63.605 63.605 63.606 emean 0.412 0.412 0.412 emin 0.387 0.387 0.387 emax 0.432 0.432 0.432 imean 13.849 13.846 13.852 imin 12.723 12.719 12.727 imax 15.566 15.566 15.566 excite_mean 0.477 0.477 0.477 fracstop 1.000 1.000 1.000 cjmean 3.032 3.032 3.032 libcent 0 74.3 74.2 74.3 libamp 0 15.2 15.2 15.1 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 92.4 92.5 92.4 kozaiamp 76.3 76.2 76.4