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: 13SC112 # Created Sun May 5 01:14:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 5.16y # First observation: 2013/09/28 # Last observation: 2018/11/26 # Chi-squared of fit: 5.16 DOF: 36 RMS: 0.09 # Min/Max residuals: -0.26 0.14 # Exact a, adot, b, bdot, g, gdot: 1.585569E-05 2.424584E-02 1.878657E-06 3.891329E-03 2.455347E-02 -2.566456E-03 # Covariance matrix: 3.9162E-13 -1.5056E-13 4.8777E-15 -1.1548E-14 1.2723E-13 -6.1520E-13 -1.5056E-13 2.7336E-13 -2.5496E-14 4.4133E-14 1.3861E-13 2.2975E-12 4.8777E-15 -2.5496E-14 2.8084E-13 -7.5654E-14 -2.0517E-14 -2.3941E-13 -1.1548E-14 4.4133E-14 -7.5654E-14 3.2041E-14 2.9475E-14 4.1027E-13 1.2723E-13 1.3861E-13 -2.0517E-14 2.9475E-14 4.1058E-13 1.5071E-12 -6.1520E-13 2.2975E-12 -2.3941E-13 4.1027E-13 1.5071E-12 2.1339E-11 # lat0 lon0 xBary yBary zBary JD0 -2.654112 7.922951 0.054448 -0.046249 -0.999729 2456563.611158 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 308.92313 +/- 0.033 Argument of Peri: 47.65164 +/- 0.050 Long of Asc Node: 23.57459 +/- 0.000 Inclination: 9.47869 +/- 0.000 Eccentricity: 0.12728266 +/- 0.0002 Semi-Major Axis: 44.81636966 +/- 0.0053 Time of Perihelion: 2472112.5235 +/- 19.5 Perihelion: 39.11202292 +/- 0.0094 Aphelion: 50.52071640 +/- 0.0102 Period (y) 300.0290 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.29366013 +/- 0.0011 Ecliptic Y 5.69501284 +/- 0.0001 Ecliptic Z -1.88588060 +/- 0.0001 Ecliptic XDOT -0.00064207 +/- 0.0000 Ecliptic YDOT 0.00263979 +/- 0.0000 Ecliptic ZDOT 0.00044683 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.72723166 +/- 0.0010 Geocenter to KBO 40.72753999 +/- 0.0011 # Hcoef: 7.04
The following table shows the complete astrometric record for 13SC112. 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 (13SC112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.11038 00 33 17.637 +00 42 14.23 23.7g 13SC112 W84 C~52RU 2013 10 13.11779 00 32 09.678 +00 35 39.19 23.1z 13SC112 W84 C~52RU 2013 11 22.14218 00 29 42.971 +00 23 02.94 22.8i 13SC112 W84 C~52RU 2013 12 02.11468 00 29 21.927 +00 21 47.10 23.4r 13SC112 W84 C~52RU 2014 11 13.06939 00 34 52.925 +01 09 54.24 23.3i 13SC112 W84 C~52RU 2014 11 13.15233 00 34 52.647 +01 09 52.87 22.7z 13SC112 W84 C~52RU 2016 09 09.28195 00 49 00.333 +03 06 20.73 22.6i 13SC112 W84 C~52RU 2016 11 08.11301 00 44 40.307 +02 41 36.66 22.7i 13SC112 W84 C~52RU 2016 11 25.06487 00 43 46.829 +02 37 15.89 23.3r 13SC112 W84 C~52RU 2016 11 25.06625 00 43 46.820 +02 37 15.55 23.1i 13SC112 W84 C~52RU 2016 11 28.09982 00 43 39.346 +02 36 43.74 23.0z 13SC112 W84 C~52RU 2017 08 28.27714 00 54 35.764 +03 56 25.67 22.9i 13SC112 W84 C~52RU 2017 08 28.27853 00 54 35.754 +03 56 25.61 23.3r 13SC112 W84 C~52RU 2017 08 28.27990 00 54 35.749 +03 56 25.62 23.5g 13SC112 W84 C~52RU 2017 09 27.23225 00 52 34.420 +03 44 23.65 23.2r 13SC112 W84 C~52RU 2017 09 27.23363 00 52 34.417 +03 44 23.60 22.6i 13SC112 W84 C~52RU 2017 09 27.23499 00 52 34.401 +03 44 23.62 23.9g 13SC112 W84 C~52RU 2017 10 20.16907 00 50 49.233 +03 34 21.78 22.9z 13SC112 W84 C~52RU 2018 10 18.19756 00 55 51.609 +04 21 06.15 22.7z 13SC112 W84 C~52RU 2018 10 18.19894 00 55 51.612 +04 21 06.29 22.7i 13SC112 W84 C~52RU 2018 11 26.07524 00 53 22.120 +04 07 53.67 24.6g 13SC112 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 0.10
2 0.0411 0.00 0.02 0.00 0.01
3 0.1507 0.00 -0.07 0.00 0.09
4 0.1780 0.00 0.05 0.00 0.02
5 1.1251 0.00 0.07 0.00 -0.08
6 1.1254 0.00 0.03 0.00 -0.15
7 2.9491 0.00 -0.08 0.00 -0.11
8 3.1129 0.00 -0.03 0.00 0.01
9 3.1594 0.00 0.14 0.00 0.06
10 3.1594 0.00 0.06 0.00 -0.26
11 3.1677 0.00 -0.07 0.00 0.14
12 3.9156 0.00 0.09 0.00 -0.01
13 3.9156 0.00 0.01 0.00 -0.04
14 3.9156 0.00 0.00 0.00 0.00
15 3.9976 0.00 0.09 0.00 0.03
16 3.9976 0.00 0.14 0.00 0.02
17 3.9976 0.00 -0.01 0.00 0.08
18 4.0604 0.00 -0.10 0.00 0.14
19 5.0543 0.00 -0.13 0.00 -0.08
20 5.0543 0.00 0.01 0.00 0.09
21 5.1608 0.00 -0.01 0.00 -0.02
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.
13SC112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.074 45.074 45.074 ecceobj 0.129 0.129 0.129 incobj 9.455 9.455 9.455 qmin 38.294 38.286 38.322 qmax 51.607 51.568 51.584 amean 44.800 44.799 44.800 amin 44.428 44.429 44.431 amax 45.208 45.226 45.201 emean 0.127 0.127 0.127 emin 0.113 0.113 0.113 emax 0.142 0.142 0.142 imean 8.935 8.935 8.935 imin 8.291 8.291 8.297 imax 9.530 9.528 9.527 excite_mean 0.201 0.201 0.201 fracstop 1.000 1.000 1.000 cjmean 3.062 3.062 3.062 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 175.9 176.2 175.9 kozaiamp 180.0 179.9 179.9