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: 13SD112 # Created Fri Nov 22 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 5.05y # First observation: 2013/09/28 # Last observation: 2018/10/18 # Chi-squared of fit: 5.57 DOF: 26 RMS: 0.10 # Min/Max residuals: -0.22 0.19 # Exact a, adot, b, bdot, g, gdot: 1.702604E-05 3.372940E-02 1.482747E-06 2.008450E-03 3.067940E-02 2.188176E-03 # Covariance matrix: 6.6495E-13 -3.6498E-13 6.8031E-15 -1.3556E-14 1.7929E-13 -1.3407E-12 -3.6498E-13 4.5152E-13 -1.6519E-14 2.4957E-14 1.1570E-13 2.4154E-12 6.8031E-15 -1.6519E-14 4.3026E-13 -1.0661E-13 -1.6125E-14 -1.0256E-13 -1.3556E-14 2.4957E-14 -1.0661E-13 3.4573E-14 1.3342E-14 1.4807E-13 1.7929E-13 1.1570E-13 -1.6125E-14 1.3342E-14 8.7585E-13 1.1947E-12 -1.3407E-12 2.4154E-12 -1.0256E-13 1.4807E-13 1.1947E-12 1.4270E-11 # lat0 lon0 xBary yBary zBary JD0 -4.333870 9.613201 0.083920 -0.075380 -0.995910 2456563.612538 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 55.68490 +/- 0.063 Argument of Peri: 246.09800 +/- 0.076 Long of Asc Node: 60.60121 +/- 0.002 Inclination: 5.39499 +/- 0.000 Eccentricity: 0.07019242 +/- 0.0001 Semi-Major Axis: 34.84614980 +/- 0.0044 Time of Perihelion: 2444942.9104 +/- 13.3 Perihelion: 32.40021431 +/- 0.0058 Aphelion: 37.29208528 +/- 0.0062 Period (y) 205.7029 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.04381088 +/- 0.0010 Ecliptic Y 5.51473787 +/- 0.0002 Ecliptic Z -2.46312408 +/- 0.0001 Ecliptic XDOT -0.00030350 +/- 0.0000 Ecliptic YDOT 0.00300123 +/- 0.0000 Ecliptic ZDOT 0.00016411 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.59122590 +/- 0.0010 Geocenter to KBO 32.59515653 +/- 0.0010 # Hcoef: 7.89
The following table shows the complete astrometric record for 13SD112. 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 (13SD112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.11176 00 42 08.424 -00 10 38.44 22.5g 13SD112 W84 C~52RU 2013 10 13.17933 00 40 45.266 -00 19 02.93 23.5z 13SD112 W84 C~52RU 2014 11 13.13256 00 45 08.349 +00 19 02.03 22.9r 13SD112 W84 C~52RU 2014 11 14.13269 00 45 04.301 +00 18 43.24 23.1r 13SD112 W84 C~52RU 2016 08 30.35544 01 05 03.349 +02 38 27.41 23.2r 13SD112 W84 C~52RU 2016 08 30.35681 01 05 03.351 +02 38 27.55 24.0g 13SD112 W84 C~52RU 2016 11 07.19435 00 59 11.698 +02 02 57.17 22.9i 13SD112 W84 C~52RU 2017 09 14.31955 01 10 46.666 +03 21 32.48 22.6z 13SD112 W84 C~52RU 2017 09 14.32230 01 10 46.647 +03 21 32.34 22.9i 13SD112 W84 C~52RU 2017 09 18.30613 01 10 27.175 +03 19 25.91 23.4r 13SD112 W84 C~52RU 2017 09 18.30750 01 10 27.162 +03 19 25.68 23.8g 13SD112 W84 C~52RU 2017 09 27.24045 01 09 40.929 +03 14 33.71 21.8z 13SD112 W84 C~52RU 2018 09 11.32288 01 17 49.036 +04 13 15.57 23.4i 13SD112 W84 C~52RU 2018 09 11.32425 01 17 49.027 +04 13 15.58 23.5r 13SD112 W84 C~52RU 2018 09 11.32562 01 17 49.007 +04 13 15.47 24.2g 13SD112 W84 C~52RU 2018 10 18.20313 01 14 35.669 +03 53 35.84 22.9z 13SD112 W84 C~52RU
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 0.10 0.00 -0.06
2 0.0413 0.00 -0.05 0.00 -0.22
3 1.1253 0.00 0.09 0.00 0.05
4 1.1281 0.00 -0.00 0.00 0.11
5 2.9220 0.00 -0.17 0.00 0.01
6 2.9220 0.00 -0.06 0.00 0.19
7 3.1104 0.00 -0.09 0.00 0.16
8 3.9622 0.00 0.06 0.00 0.11
9 3.9622 0.00 -0.03 0.00 0.06
10 3.9732 0.00 0.06 0.00 0.02
11 3.9732 0.00 -0.03 0.00 -0.16
12 3.9976 0.00 0.09 0.00 0.04
13 4.9534 0.00 0.17 0.00 -0.05
14 4.9534 0.00 0.13 0.00 0.00
15 4.9534 0.00 -0.08 0.00 -0.07
16 5.0543 0.00 -0.09 0.00 -0.16
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.
13SD112 quality flag:3 Type: 5:4E 5:4E 5:4E axisobj 35.017 35.017 35.017 ecceobj 0.075 0.075 0.075 incobj 5.395 5.395 5.395 qmin 31.406 31.406 31.407 qmax 38.829 38.832 38.834 amean 34.945 34.945 34.945 amin 34.617 34.617 34.617 amax 35.293 35.293 35.293 emean 0.079 0.079 0.079 emin 0.058 0.058 0.058 emax 0.101 0.101 0.101 imean 5.609 5.610 5.609 imin 4.181 4.181 4.181 imax 6.934 6.934 6.934 excite_mean 0.126 0.126 0.126 fracstop 1.000 1.000 1.000 cjmean 2.999 2.999 2.999 libcent 0 178.4 178.4 178.5 libamp 0 71.1 71.2 71.2 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 179.7 179.8 179.7 kozaiamp 179.9 180.0 179.9